Indirection presupposes abstraction because interposing a referencing layer requires deciding which features of the provider to retain as the contract.

Indirection presupposes abstraction because the referencing mechanism interposed between consumer and provider must commit to a purpose-relative projection: what features of the provider the reference exposes (the interface contract) and what it hides (identity, location, implementation). Without abstraction's judged choice of load-bearing structure, the indirection layer has no principled content to mediate -- it would have to forward everything, defeating the decoupling, late binding, and substitution that motivate it. The reference is an abstraction made concrete as a runtime handle. Abstraction supplies the prerequisite condition: Focus on core elements. Indirection operates against that background: Introduces intermediary references. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Indirection contains the reference-to-provider mapping that its resolution mechanism evaluates while decoupling consumer from provider.

The live Indirection signature explicitly includes a single-valued mapping from each admitted reference to its provider. Remove that map and an intermediate name or handle cannot resolve, so there is only an extra object, not a usable layer of indirection. The whole adds reference lifecycle, decoupling, resolution timing, substitution, costs, and failure modes.


An infinite regress is a kind of dependency chain in which each element depends on a further element of the same kind without termination.

An infinite regress is a specialization of dependency where the directed relation "A relies on B being prior, present, or supplied" iterates without natural stopping point: each justifier, explainer, or ground itself requires another of the same kind. It inherits dependency's core asymmetry but adds the structural feature that the chain is non-terminating unless exited via foundationalism, circularity, or explicit endorsement of the unbounded series. The pathology is precisely a dependency relation that fails to reach a base case.


An infinite regress is a kind of reflexivity in which the chain loops back to reference itself when coherentist closure is taken.

An infinite regress is a specialization of reflexivity in its coherentist resolution: when the unending chain of same-kind dependencies cannot be grounded foundationally, the regress can only be closed by looping back on itself, producing the self-referential structure that reflexivity formalizes. Inheriting reflexivity's pattern in which a system's representation becomes part of what is represented, infinite regress is the diagnostic shape that exposes when justification, explanation, or grounding has no exit except a return to its own starting point.


Infinite regress is a specialization of recursion in which the self-referential chain lacks a base case and continues without terminating.

Infinite regress is a specialization of recursion in which the defining feature of a base case is absent: each step generates a further step of the same kind, and no terminating condition halts the chain. It inherits the recursive structure of a rule that relates each instance to a smaller or similar one, and specializes by stripping out the well-founded measure that would force termination. The same self-similar structure that grounds productive mathematical recursion, deprived of its base case, becomes the diagnostic problem of an unending justification chain.


An infinite regress contains an unbounded same-kind sequence whose continuation beyond every finite stopping point is its infinity constituent.

The dependency or justificatory relation gives a regress its domain-specific content, while the absence of any finite terminal member gives it its unbounded structure. Infinity is therefore a constituent of the regress rather than a synonym: many infinite structures are not regresses, but a genuine infinite regress cannot be reduced to any finite chain.


Informal enforcement and social norms are interdefinable complements: each norm requires diffuse sanctioning, and informal sanctioning presupposes a shared expectation.

Social norms and informal enforcement are interdefinable structural complements — neither is prior; each is the negation/complement of the other. A norm without distributed disapproval is just a private preference; diffuse sanctioning without a shared expectation about how people should behave has no rule to enforce. The expectation gives the sanction its target and legitimacy; the sanctioning gives the expectation its bite and stability. They co-constitute the same order phenomenon viewed from the rule side and the enforcement side respectively.


Information asymmetry is a kind of asymmetry in which two parties hold unequal private knowledge relevant to their interaction.

Information asymmetry is a specialization of asymmetry: the relation between two parties' knowledge states fails the swap-test — exchanging the better-informed and less-informed party changes the terms, prices, and risks of the interaction. It inherits asymmetry's directed-imbalance structure and particularizes it to the epistemic-distribution case where the relevant imbalance is who knows what, not who has what. Akerlof's lemons market is the canonical instance of asymmetry in the knowledge dimension.


An information cascade is a kind of herding behavior in which actors sequentially copy predecessors' choices, overriding private information.

An information cascade is a specialization of herding behavior: sequential actors place more weight on the visible aggregate of prior choices than on their own private signals, producing a chain in which each subsequent decision contributes little new information. It inherits herding's commitment to crowd-imitation under uncertainty and the resulting collective divergence from integrated-private-signal outcomes, particularized to the Bayesian-rational case Bikhchandani, Hirshleifer, and Welch formalized where copying is locally optimal given observed history.


Information hiding is a deliberately-drawn boundary with a controlled-access policy (concealed-side vs visible-side); it presupposes a boundary as its load-bearing element. Boundary supplies the prerequisite condition: Defines system limits. Information Hiding operates against that background: Deliberately concealing internal facts behind a stable public surface to control dependencies. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Both present a simplified surface over a complex interior; frames hiding as a change-protection-motivated specialization adjacent to abstraction (which selects for comprehension). Abstraction supplies the genus: Focus on core elements. Information Hiding preserves that general structure while adding its differentia: Deliberately concealing internal facts behind a stable public surface to control dependencies. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Information Locality becomes discriminating only when candidate owners differ in access to information material to the criterion they might own.

If all candidate levels possessed the same relevant information, moving responsibility among them would create no information-locality consequence; unequal, non-interchangeable informational positions generate the placement constraint.


Information scent is the cue-guided traversal mechanism within search that applies when the space is too large to enumerate and the goal is not directly perceptible. 'the cue-guided traversal mechanism within search,' absent in exhaustive enumeration and direct retrieval. Presupposes the search-and-retrieval problem. Search and Retrieval supplies the prerequisite condition: Locate and extract information. Information Scent operates against that background: An agent navigates a partially-known space by reading local cues at decision points that predict the value of going further, with cue-destination correlation governing traversal efficiency. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


An Information Use License is the already-transmitted-information species of a present act binding future conduct to another party under release and breach terms. A recipient presently self-binds a future course on which a relying party may depend, with a before/after boundary, release conditions, and breach consequence. The bound future conduct is specifically the use, attribution, or disclosure of information the recipient has already received and cannot unlearn.


Inheritance is the specific dependency of a derivative on a parent ALONG A LINEAGE, with default carry-over and substitutability — a specialization of bare dependency ('not dependency in general'). Dependency supplies the genus: Directed relation in which one element relies on another being present, prior, compatible, or supplied, with a specifiable failure mode if the condition is unmet. Inheritance preserves that general structure while adding its differentia: Transmitting structure along a lineage by default, with selective override. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Inherited-substrate risk operates on a borrowed substrate the system relies on without re-deriving it; it presupposes a dependency relation and adds the audit-boundary asymmetry and latent origin condition. 'every inherited substrate is a dependency' but adds a direction-of-attention claim. Dependency supplies the prerequisite condition: Directed relation in which one element relies on another being present, prior, compatible, or supplied, with a specifiable failure mode if the condition is unmet. Inherited-Substrate Risk operates against that background: A system built on a borrowed or inherited substrate carries forward latent conditions of the substrate's origin through an inheritance channel that the new system's audit boundary does not cross, so the risk concentrates exactly where attention does not. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Injectivity is a Function Mapping specialized by the no-collision requirement that distinct inputs receive distinct outputs.

Both have a declared domain, codomain, and single-valued assignment from inputs to outputs. Injectivity adds the strict differentia that no two distinct inputs share an output, yielding recoverability by a left inverse on the image. General Function Mappings may collide or leave distinctions unrecoverable, so the relation is strict subsumption.


Innovation Sandbox presupposes Containment, whose structure must already obtain for the child mechanism to be meaningful or operational.

Containment supplies the prerequisite condition: Holding a hazard, process, or agent within a deliberately maintained perimeter to prevent its spread or uncontrolled interaction with the surroundings. Innovation Sandbox operates against that background: A bounded enclosure where prohibited or untested behaviour runs without its consequences escaping. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Inoculation is learning specialized to durable defensive updating from attenuated pre-exposure paired with successful response.

Experience with a weakened threat changes retained internal state so later behavior or prediction resists the threat family; adaptive memory, generalization, and booster decay supply the child's differentia.


Input Partition presupposes Conservation Laws because its defining closure requires the named output channels to account for the incident quantity without unexplained creation or loss.

The split is closed only when every unit of incident quantity is assigned to one named output channel, including any explicitly modeled conversion or loss channel. Without conservation across the accounting boundary, the output amounts need not sum to the input and the complement or sum-to-one inference fails. Input Partition is the routing-and-closure operation; Conservation Laws supplies the invariant that makes that closure valid.


Input Pressure is the externally sourced, sustained-rate specialization of Flow acting as load on a bounded receiving system.

Flow supplies quantity per time across a boundary; Input Pressure fixes source externality, persistence, rate distribution, bounded response, and driver-side factoring. After the systems_cybernetics frame is stripped away, the retained structural roles are those of Flow: Structured movement of energy, matter, or information. Input Pressure adds the local frame and commitments expressed in its identity: A sustained external input rate acts as the load variable a bounded receiving system must absorb or respond to. The parent pattern remains recognizable without that vocabulary, while the child is the framed realization of it. That preservation test establishes decomposition rather than taxonomic subsumption.


Inquiry-based learning is a specific pedagogy in which the structured encounter takes the form of investigating questions like disciplinary practitioners.

Inquiry-based learning is a specialization of pedagogy in which the instructional agent arranges the learner's encounter so that the learner formulates questions, plans investigations, gathers evidence, constructs explanations, and revises understanding — approximating disciplinary practice. It inherits pedagogy's commitment to deliberate, calibrated structuring of content engagement aimed at durable capability change, and adds the specific commitment that the structure mimics authentic inquiry rather than transmission, treating the learner's own investigative activity as the load-bearing mechanism through which the targeted capability is acquired.


The loop contains feedback because observed consequences must return to alter the next model-guided action. Cut the evidence return path and changes can be observed but cannot correct later understanding or action, destroying the loop. parent_in_child


The loop contains iteration because revised practical and epistemic state is carried into a subsequent pass. Remove recurrence with state carried forward and there is no cross-cycle accumulation, only a one-off action study. parent_in_child


The loop contains learning because evidence must durably update the retained model or capability that selects later action. Remove durable experience-driven model change and the process may react or regulate but does not conduct cumulative inquiry. parent_in_child


Inspection paradox is the species of selection_bias where inclusion probability is PROPORTIONAL to the attribute being measured (encounter-based, length-weighted), giving a known mechanically-correctable bias E[L^2]/E[L]. selection_bias is the parent. Selection Bias supplies the genus: Skewed sampling. Inspection Paradox preserves that general structure while adding its differentia: When sampling proceeds by encountering items rather than enumerating them, longer items are over-represented in proportion to their length. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Instability presupposes feedback because perturbations grow only when an amplification loop routes output back into input.

Instability is the property whereby small perturbations grow rather than decay, characterized by an amplification mechanism that overcomes restorative or dissipative tendencies. This presupposes feedback: the structural arrangement in which a portion of a system's output is routed back to influence its subsequent input, with the sign and strength of coupling determining whether the loop opposes or reinforces. Positive feedback supplies exactly the amplification that turns small disturbances into growing deviations. Without a closed loop returning the system's behaviour to its own input, perturbations have no channel through which to compound into instability.


Instability presupposes equilibrium because growth-rather-than-decay of small perturbations is defined relative to a reference state's balance.

Instability is the property whereby small perturbations grow rather than decay, causing departure from a reference state. The construct is meaningful only relative to a specified reference state whose balance is being assessed, and the diagnostic is the failure of restorative mechanisms to dominate amplifying ones. Equilibrium supplies that reference state — the balance condition on a named set of quantities — against which perturbations are measured. Without an underlying equilibrium concept defining the balanced state and its restorative tendency, there would be nothing for instability to deviate from.


Roles are internal constituents of institutions, defining durable positions whose expectations persist across occupants.

An institution is a durable, self-reproducing complex of rules, roles, and shared expectations that structures recurrent behavior beyond particular participants. Roles are internal constituents of that complex: each role defines a position with associated rights, duties, and expected conduct that remains stable as occupants change. Removing roles would eliminate the position-to-expectation structure through which an institution distributes action and reproduces itself across successive incumbents.


An institution presupposes normativity because its rules and roles only function when participants treat them as prescriptions to be followed and sanctioned.

An institution is a self-reproducing complex of rules and roles whose force depends on participants treating its prescriptions as binding standards: deviations are sanctioned, expectations are reproduced across generations. This requires the normative dimension — the standing distinction between correct and incorrect conduct relative to a standard, with criticism and guidance keyed to it. Without normativity's ought-side architecture, institutional rules would be mere regularities with no enforcement logic and no basis for the expectation that participants ought to comply.


Institutional lag presupposes institution because the temporal maladjustment it names occurs between fast-changing conditions and slow-adapting institutional rule systems.

Institutional lag is the temporal maladjustment between rapidly changing material or technological conditions and the formal institutions — laws, regulators, bureaucratic procedures — that should govern them. The construction requires institutions in place as the slow-changing object whose adaptation is being measured. Institution supplies the durable self-reproducing rule-and-role complex whose stability gives it both durability and rigidity. Institutional lag is the consequence of that rigidity meeting accelerating change: the formal rule complex cannot adapt at the rate conditions demand, so it presupposes institutions as the slow-adapting reference body.


Institutional lag presupposes adaptation because the diagnosis only makes sense against the expectation that institutions ought to adapt to changed conditions.

Institutional lag names the temporal maladjustment between fast-changing material conditions and slow-changing formal rule systems, which is intelligible only against the prior commitment that institutions ought to adapt to track the conditions they govern. Without adaptation's machinery — the process by which a system modifies internal structure in response to sustained environmental change — there would be no benchmark against which lag could be measured. Adaptation supplies the expected fit-tracking behavior whose absence or delay the lag pattern diagnoses.


Institutional lag presupposes culture lag because mismatched adaptation rates between formal institutions and material conditions instantiate the general culture-lag pattern.

Institutional lag names the temporal maladjustment between fast-changing material conditions and slower-changing formal institutions like laws and regulatory bodies. This is a particular case of the broader culture-lag pattern in which a society's components change at different rates, producing strain when faster components outpace slower dependents. Culture lag supplies the general structural commitment — differential adaptation rates across coupled components — that institutional lag instantiates with formal rule systems as the slow-changing side. Without the general lag pattern, the institutional case loses its analytical frame.


A time-dependent, correlated (non-zero-mean) drift of a measurement instrument's interpretive practice while its stated spec stays fixed — a specialization of temporal degradation applied to interpretive calibration (vs a static bias removable by one calibration). Temporal Decay and Degradation supplies the genus: System properties or capabilities systematically diminish over time. Instrument Interpretive Drift preserves that general structure while adding its differentia: A measurement instrument's interpretive practice silently shifts over time while its stated specification stays fixed, contaminating longitudinal trends. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Integer Linear Programming is Linear Programming specialized by integrality restrictions on some or all decision variables.

Integer Linear Programming retains Linear Programming's linear objective and linear constraint system while adding the differentia that some or all decision variables must take integer values. Dropping that restriction yields the corresponding continuous LP relaxation. ILP therefore inherits its optimization and internal-constraint structure through LP rather than repeating those broader heads directly.


Integer linear programming presupposes discreteness because the integrality restriction on decision variables imposes the separated-states structure on the feasible set.

Integer linear programming is defined by adding to linear programming the requirement that some or all decision variables take integer values, which is precisely the discreteness commitment: the variables range over an enumerable set of separated states rather than a continuum. Without discreteness's machinery — the separated-states property that admits enumeration and combinatorial reasoning — there would be no integrality to impose and the problem would collapse back to continuous linear programming. The Discreteness prime supplies the separated-states structure that integer programming requires for its yes/no, on/off, and assignment decisions.


An interface is the specific shape boundary takes when it adds an explicit contract specifying what crosses, what is hidden, and what guarantees hold on each side.

An interface is the particularization of boundary to a setting where the demarcation between systems carries an explicit exchange protocol: a contract specifying exposed surfaces, hidden internals, signal types, and side-specific guarantees. Where boundary names the conceptual demarcation between an entity and its outside generally, interface fixes the boundary as bilateral and structured: it adds asymmetric visibility, formal protocol, and the commitment that each side can evolve independently provided the contract is honored — a richer particular form of the boundary pattern.


A rule-governed exchange surface is the internal locus at which an interface mismatch's offered and required contracts fail to align.

Interface Mismatch contains an Interface as its defining locus. The parent supplies two sides, a bounded exchange surface, and an interaction contract; the child adds an offered-versus-required contract gap that prevents composition even though each side may remain locally workable.


Interfacial energy is the per-unit-area COST a boundary carries while it exists — it presupposes a boundary (the line) and prices it. 'a boundary is the static line; interfacial energy is the pressure on that line.' Presupposes-parent. Boundary supplies the prerequisite condition: Defines system limits. Interfacial Energy operates against that background: A per-unit-boundary cost that scales with seam length rather than bulk, driving systems toward configurations with less total boundary unless opposed. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Interference and contention is a specific kind of constraint, where shared-resource competition restricts admissible concurrent throughput.

Interference and contention is a specialization of constraint. The general pattern restricts admissible configurations to those satisfying a binding condition, with the feasible set as a first-class object. Contention instantiates this with the binding condition being shared-resource capacity: when multiple processes demand a single resource, only a subset of concurrent access patterns are admissible, and exceeding capacity produces measurable degradation. It is constraint operating dynamically at the resource bottleneck: the resource's capacity binds the joint feasible region of concurrent demands, producing latency increases and dropped transactions when the bound is approached.


Interference and contention presupposes concurrency because mutual interference among shared-resource consumers requires the consumers to proceed in overlapping time.

Interference and contention presupposes concurrency because its mechanism is multiple simultaneous demands competing for the same limited resource: take away the time-overlapping execution and contention disappears, since sequential consumers would each get the resource in turn without mutual interference. Concurrency supplies the structural condition of overlapping loci of activity with their attendant ordering and coordination problems; contention names what happens when those overlapping activities collide on a bottleneck and degrade each other's latency, throughput, or quality.


Interference and contention presupposes scarcity because competing demands for a single limited resource is the contention dynamic scarcity induces.

Interference and contention presupposes scarcity because the degradation pattern -- mutual interference, queueing, dropped throughput -- arises only when simultaneous demands exceed a shared resource's capacity, which is exactly scarcity's defining condition. Without finite supply relative to demand, parallel processes do not contend; they simply proceed. Contention is scarcity manifesting at the operational interface where each consumer's presence reduces capacity for the others, making the allocation problem visible as latency rather than as price. Scarcity supplies the prerequisite condition: A finite resource is insufficient to satisfy all competing wants. Interference and Contention operates against that background: Competing demands for shared bottleneck degrade throughput. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Interior Lines is a specialization of Positional Advantage, retaining the parent's defining structure while adding the child's specific commitments.

Positional Advantage supplies the genus: Occupying a location in a value-graded space such that the position itself confers advantage — leverage, reach, defensibility, reaction-time — independent of the resources or force held at that location. Interior Lines preserves that general structure while adding its differentia: A centrally-positioned actor with shorter paths to multiple fronts converts a positional property into a reaction-time advantage, reallocating a shared reservoir faster than a dispersed periphery can coordinate. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Interleaving is a specialization of multiplexing in which the dividing dimension is sequential order rather than a physical channel split.

Interleaving is a specialization of multiplexing in which the dividing scheme is time-order within a single sequence: multiple logically distinct item-streams share one resource by alternating their slots rather than each owning a contiguous run. It inherits the general multiplexing commitment of many logical channels over one physical substrate, with the resource partitioned so streams remain non-interfering and a reverse operation can separate them. Its distinctive specialization is that the dividing dimension is fine-grained sequential interleave, which buys the discrimination-forcing and fault-scattering properties characteristic of the pattern.


Intermittency presupposes rhythm because identifying bursts as exceptional requires a baseline expectation of patterned recurrence against which they register as exceptional.

Intermittency presupposes rhythm because its central claim is that activity is dominated by rare bursts separated by long quiet intervals, which only registers as a structural pattern against an implicit expectation of how events should be distributed in time. Rhythm supplies that expectation: it organizes time into a parsable frame of grouping, accent, and interval, against which deviations stand out. Without a rhythmic background frame defining what counts as on-time or as smooth flow, the burst-and-quiet signature collapses into mere unstructured variation with nothing to mark its exceptionality.


Intermittency is a specialization of heavy-tailed distributions in which rare high-amplitude bursts dominate an otherwise quiescent signal.

Intermittency is a specialization of heavy-tailed distributions. Specifically, it instantiates the rare-extremes-dominate-aggregates pattern in the time-series subclass: signal amplitude distributions exhibit heavy tails (flatness above 3, burst clustering, multifractal spectra) so that quiet periods contribute little to totals while sporadic bursts contribute most of the variance and higher moments. Like other heavy-tailed phenomena, it inverts the assumption that the bulk governs behavior; intermittency is the temporal subclass where burst-and-quiet cycling makes the dominance of rare events visible as activity profile.


Internal intensification is a structured trade-off between two qualitatively distinct cost structures (densify-within-boundary vs expand-boundary). concedes 'a pure capacity-cost comparison with no boundary at stake is ordinary trade_offs' — this prime is the boundary-laden specialization. Trade-offs supplies the genus: Balancing competing priorities. Internal Intensification preserves that general structure while adding its differentia: A system needing more capacity densifies, deepens, or re-uses underused positions inside its existing boundary before expanding the boundary outward, a choice between two qualitatively different cost structures that compounds over the trajectory of growth. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Interoperability is a specific kind of modularity, requiring components to compose via shared interface specifications.

Interoperability is a specialization of modularity. The general pattern decomposes a system into discrete components with stable interfaces defining what each provides and depends on, enabling independent design and modification. Interoperability instantiates this across system boundaries: distinct, independently-designed systems can compose and cooperate provided they conform to shared specifications, moving from one-off integration to systematic compatibility. The shared protocol or standard is the stable interface; conformance is the modularity commitment extended across organizational and implementation boundaries. It is modularity as the ecosystem-level capacity for any two protocol-conforming systems to interoperate.


Interoperability is a specialization of compatibility that achieves cross-system function through shared standards rather than pairwise adaptation.

Interoperability is a specialization of compatibility. Specifically, it instantiates the relational coexist-and-compose-without-breakage property by routing the alignment through explicitly agreed-upon standards, interfaces, or protocols, so that any two systems conforming to the spec can communicate and coordinate. Where compatibility names the broad condition that entities can interact without contradiction, interoperability is the engineered subclass where the alignment is achieved systematically and scalably via shared specifications rather than one-off bridges between particular pairs.


Interpretation presupposes representation because recovering meaning from a substrate requires that substrate already encode something interpretable.

Interpretation is the activity of recovering meaning, intent, or applicable function from a representational substrate — sign, text, dataset, behavior, trace — within a framework that makes some readings available and others not. The operation presupposes a representation: a structured mapping where features of the medium correspond to features of a target under some convention. Representation supplies that substrate with its faithfulness claim. Without an underlying representation carrying encoded structure, interpretation would have nothing to decode and no convention against which to test the legitimacy of a reading.


'Set-and-membership supplies the collections and the ∈ test; intersection is one OPERATION on them.' Intersection presupposes the set apparatus and adds the simultaneous-AND combiner. Set and Membership supplies the prerequisite condition: Groups and categorizes elements. Intersection operates against that background: The elements common to all of several collections. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


'this prime is the specific coupling of a beneficial mechanism's output to a harmful output through one inseparable step' — a specialization of coupling. The 0.858 nearest neighbour is coupling, the genuine genus (here child-not-parent). Coupling supplies the genus: Interdependence among subsystems. Intervention-Coupled Harm preserves that general structure while adding its differentia: A beneficial intervention produces its harm through the same causal channel that produces its benefit, so the two cannot be tuned apart. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Sharper case of trade_offs where the harm-benefit ratio is FIXED BY THE mechanism (not independently dialable). frames it explicitly against generic trade_offs. Trade-offs supplies the genus: Balancing competing priorities. Intervention-Coupled Harm preserves that general structure while adding its differentia: A beneficial intervention produces its harm through the same causal channel that produces its benefit, so the two cannot be tuned apart. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


The harm is by definition a state change outside the intervention's declared benefit interface, riding the same channel as the benefit. Side Effect supplies the genus: An action's change to shared state beyond its declared interface. Intervention-Coupled Harm preserves that general structure while adding its differentia: A beneficial intervention produces its harm through the same causal channel that produces its benefit, so the two cannot be tuned apart. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Intervention-Induced Model Invalidation is Reflexivity specialized to a model or calibrated relationship becoming an input to the represented system and thereby undermining its own validity.

The representation enters the causal loop: it selects, justifies, or parameterizes an intervention; affected actors or mechanisms respond; and the relationship the representation encoded changes. Reflexivity is broader and also includes self-fulfilling stabilization, recursive representation, and self-reference that need not invalidate a model.


Intervention-Induced Model Invalidation is Concept Drift specialized to endogenous change caused by deploying an action based on the calibrated rule itself.

It retains Concept Drift's learned relationship, calibration regime, stationarity assumption, changed input-outcome mapping, and silent loss of validity. It adds a causal restriction: the shift is produced by the intervention or control action whose justification depended on that relationship, rather than by an independently moving world.


Intervention Stack Accretion is a specialization of Ratchet Effect, retaining the parent's defining structure while adding the child's specific commitments.

Ratchet Effect supplies the genus: Direction-asymmetric coupling plus a locking element produces accumulating one-way displacement under bidirectional forcing. Intervention Stack Accretion preserves that general structure while adding its differentia: A system accumulates concurrently active interventions, each justified at add-time, whose joint cost grows super-linearly and whose removal requires a distinct named operation. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Intrinsic Ceiling vs Input strictly presupposes a response mapping from which its independent ceiling and input-to-approach coordinates are read.

Every admissible instance in the prime's identity has quantifiable input, response, an asymptote, and an EC50-like position. The source calls the dose-response curve the empirical object and the prime the decision discipline read from it; no exception is supplied that lacks the mapping. The inherited typical qualifier therefore understates a strict identity dependency.


Invasive_species is the ecology-specific child; this is the substrate-general parent covering virgin-soil epidemics, financial-instrument export, platform diffusion, regulatory arbitrage. Release From Controlling Context supplies the genus: An actor's intrinsic dynamics, calibrated by a home context's constraints, run unconstrained when moved to a recipient context lacking them. Invasive Species preserves that general structure while adding its differentia: A newcomer enters a system whose native controls are absent or weak against it, and outpaces them to spread and displace incumbents before the system can adapt. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Inversion is a specific kind of symmetry, reversing a relation or sequence while preserving some underlying equivalence.

Inversion is a specialization of symmetry. The general pattern is invariance under a specified group of transformations, with the algebraic commitment that the transformation leaves a stated feature unchanged. Inversion instantiates this with the transformation being reversal (of a relation, sequence, or dependency chain), and the preserved feature being some underlying element or equivalence (composition with the inverse returns the identity). Jacobi's invert-always-invert heuristic exploits the fact that the inversion transformation belongs to the symmetry group of the structure, so working in the inverted regime is mathematically equivalent for many purposes.


Inversion presupposes reversibility because reversing a relation, sequence, or dependency requires that the operation admits an inverse.

Inversion reverses a relation, sequence, or structure, producing the dual or converse form. This presupposes reversibility: the structural property of whether an action or transition can be undone or restored, with reversibility-as-option distinguished from irreversibility-as-commitment. Inversion can be applied only to relations and operations that admit an inverse; an irreversible process cannot be inverted in the operational sense, only reasoned about counterfactually. The existence of R^(-1) given R, and the preservation under composition with the inverse, are exactly the structural conditions reversibility names.


Inversion is a specialization of transformation that reverses a relation, sequence, or dependency structure while preserving underlying equivalence.

Inversion is a specialization of transformation. Specifically, it instantiates the input-rule-output mapping where the rule reverses a relation, sequence, or dependency chain (R to R-inverse, or a structure to its dual), preserving certain elements or equivalences while altering relational direction. Like other transformations, it specifies what is preserved (the underlying equivalence) and what is reshaped (the order, direction, or dependency); inversion is the subclass whose reshaping operation is reversal itself, generating regimes whose dynamics differ from the unreversed case.


The inverted pyramid is prioritization PLUS the structural commitment to truncation-resilience: it takes an importance ranking and arranges the artifact so any prefix carries the load-bearing content and degrades gracefully. 'prioritization ranks; the pyramid arranges for truncation-resilience.' Presupposes the ranking and adds the truncation envelope and graceful-degradation invariant. Prioritization supplies the prerequisite condition: Ordering competing claims on finite resources by a value or urgency metric to produce a ranked sequence of action under constraint, making explicit what gets done first and what does not get done at all. Inverted Pyramid operates against that background: A communication ordered so the most decision-relevant content appears first, in decreasing order of importance, degrading gracefully under truncation from the bottom. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


The inverted-U is a single-peaked non-monotone (hence nonlinear) response shape with an interior optimum where the first derivative is zero. It is a specialization of nonlinearity (disproportionate, non-proportional output).


Every Invisible Affordance is a genuine affordance whose action-possibility exists but is absent from every surface the prospective user reliably samples.

Invisible Affordance inherits Affordance's real agent-environment fit: the capability genuinely supports an action for the relevant user. It adds an announcement apparatus, a sampled-surface set, and a mismatch that excludes the real option from the user's perceived option set. An invisible affordance cannot lack the underlying affordance, while ordinary affordances may be visible; the relation is therefore strict one-way specialization rather than a sibling analogy.


The floor 'is a constraint, formally a binding inequality at the optimum' but adds the two-level structure (intra-regime vs structural lever) the general constraint concept does not carry. It is a specialization of constraint, specialized to a mechanism-generated bound that transfers variance when over-driven. Constraint supplies the genus: Limits possibilities to guide outcomes. Irreducible Floor preserves that general structure while adding its differentia: A quantity of interest has a structural lower (or upper) bound that the available proximate levers cannot push past without inducing pathology elsewhere, because the floor is a consequence of the system's generating mechanism rather than a target the operator chose. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Irreversibility is a specialization of reversibility-and-irreversibility focused specifically on the one-way pole of the dual structure.

Irreversibility is a specialization of the broader reversibility-and-irreversibility structure, isolating the case where the process has a privileged direction and restoration to the prior state is structurally precluded without compensating environmental change. It inherits the general framework of whether system transitions can be undone and specializes by fixing the answer to one-way: entropy increase, lost information, broken-symmetry selections, sunk costs that cannot be recovered. The reversibility-irreversibility pair frames the dual options; irreversibility names the commitment pole — locked-in resources, closed pathways, thermodynamic or practical infeasibility of return.


Isomorphism is Bijectivity specialized by two-sided preservation of the named operations, relations, order, topology, or other structure.

Every isomorphism is a one-to-one and onto mapping with a unique inverse. It adds the strict differentia that both the mapping and its inverse preserve the structure declared for the objects. Arbitrary bijections need preserve only cardinality, so Bijectivity is the immediate set-level genus.


Isomorphism presupposes invariance because a structure-preserving bijection is the family of transformations under which the structure is preserved.

Isomorphism presupposes invariance because the structure-preservation requirement on the bijection -- group operation, graph adjacency, vector-space linearity, topology -- is exactly the joint commitment to a named preserved feature under a named family of transformations. The isomorphism is the transformation, and the preserved structure is what makes it an isomorphism of that kind rather than a mere bijection. Without invariance's framing of preserved-feature-under-operations, there is no criterion separating structure-preserving maps from arbitrary set-bijections. Invariance supplies the prerequisite condition: Properties unchanged under transformation. Isomorphism operates against that background: Structure-preserving mapping. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Jevons Paradox is the more-than-full Efficiency Rebound region in which demand expansion reverses the sign and raises total resource use.

It inherits the efficiency gain, effective-cost reduction, expandable demand, aggregate recombination, and graded offset. It adds the strict magnitude condition that rebound exceeds 100 percent, so total input use rises rather than merely falling less than expected.


Joint attention is not 'more attention' but a second-order multi-agent relation BUILT ON attention ('built on top of it') — two+ attenders plus mutual registration. It presupposes attention; it does not subsume it. Attention supplies the prerequisite condition: The selective allocation of a fixed processing capacity to some inputs while the rest are filtered out, surfacing scarcity upstream of every decision. Joint Attention operates against that background: Two or more agents share an attentional target and each knows the other attends to it. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Joint-vs-Separate Evaluation presupposes Evaluation because it is a mode effect defined over procedures that map criteria and attributes into verdicts.

The phenomenon cannot occur without an Evaluation: both joint and separate modes evaluate the same bounded options, but each mode changes the criterion frame by making a different subset of attributes evaluable and therefore can change the verdict. Evaluation supplies the common operation on which the mode toggle acts. Comparison remains foundational through Evaluation; the old direct edge was a flattened shortcut and was only typical because comparison is engaged explicitly in joint mode but suppressed in separate mode.


Joint versus Separate Evaluation is the evaluation-procedure species in which simultaneous comparison changes attribute evaluability and can reverse judgments. The evaluated objects remain fixed while a change in their comparison context changes their ordering or valuation. The manipulated context is whether alternatives are evaluated together or separately, and the mechanism is mode-dependent attribute evaluability.


Frames detached verification as the SUBCLASS of procedural_fairness_due_process aimed specifically at neutralizing an interested party's path to the verifier ('procedural fairness is the genus; detached verification is the conflict-of-interest-cutting species'). A specialization. Procedural Fairness (Due Process) supplies the genus: Due process. Journalistic Objectivity preserves that general structure while adding its differentia: A claim is licensed by a procedure whose authority depends on holding the verifier structurally outside the interests at stake, so preferred-outcome leakage is made expensive. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Juxtaposition is a specialization of comparison in which proximity placement is the alignment rule and relational reading is the output.

Juxtaposition is a kind of comparison specialized by its alignment mechanism: placing elements in close spatial, temporal, or conceptual proximity so that their relational reading becomes the primary content-carrying feature. It inherits comparison's commitment to placing items under a shared frame with an alignment rule that yields a relational output, and supplies the specific case where the alignment rule is unmediated adjacency and the output is whatever meaning, contrast, or connection the audience derives from the bare pairing without explicit comparative markers.


Juxtaposition presupposes contrast because relational placement of elements derives its content from the perceptually emphasized differences between them.

Juxtaposition presupposes contrast because placing elements in close proximity produces relational content only when the difference between them is perceptually or cognitively detectable as emphasized. Without contrast's mechanism of foregrounding differences against a background of less-prominent features, mere co-location of elements would not produce meaning beyond the elements themselves. Contrast supplies the difference-detection that makes the bare adjacency content-bearing; juxtaposition is then the specific compositional move that arranges elements to exploit that contrast as the primary message.


Kairos is the specific structure within temporal_dynamics where action effectiveness is conditional on a transient receiving-system state the actor must detect and reach within. 'temporal_dynamics is the broad study; kairos is the specific structure.' A specialization. Temporal Dynamics supplies the genus: System outcomes depend fundamentally on timing, sequencing, duration. Kairos preserves that general structure while adding its differentia: An action's effectiveness depends not on its own quality but on its alignment with a transient state of the receiving system — a window that opens and closes. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


The beauty contest is a coordination game, but a peculiar one whose target is RECURSIVE (the population's own expectation) rather than an exogenous landmark. A specialization of coordination_problem_and_equilibrium_selection where the focal point is a belief about a belief. Coordination Problem and Equilibrium Selection supplies the genus: Multiple stable equilibria require alignment on single outcome. Keynesian Beauty Contest preserves that general structure while adding its differentia: The rational choice is not what you most prefer, nor what you think others prefer, but what you think others believe others will choose. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Last Mile Delivery contains upstream Economies of Scale whose shared trunk amortizes cost across volume, creating the cost contrast that makes endpoint delivery disproportionately expensive.

The pattern requires a consolidated upstream channel whose average cost falls as shared volume amortizes fixed coordination, transport, or infrastructure. Removing those trunk economies erases both the trunk-versus-endpoint contrast and the growing-share invariant by which upstream improvement makes the last mile more dominant. Economies of Scale is therefore a constituent of the mechanism, not a claim that last-mile work itself enjoys scale economies.


Last Mile Delivery contains endpoint Variability because differences in location, access, timing, language, infrastructure, behavior, or trust defeat the trunk's consolidation logic.

The final segment must adapt separately to heterogeneous endpoints, and its cost scales with their cross-instance differences rather than with trunk volume. If endpoints are interchangeable, the shared channel can extend to them and the characteristic last-mile concentration disappears. Variability is thus a load-bearing constituent, while Last Mile Delivery adds the consolidated trunk, interface adaptation, and growing cost-share relation.


Last-Mile Failure is typically a specialization of Bottleneck, retaining the parent's defining structure while adding the child's specific commitments.

Bottleneck supplies the genus: The single limiting stage that caps an entire system's throughput. Last-Mile Failure preserves that general structure while adding its differentia: A distribution network's per-unit cost, latency, and failure rate spike at the final stage where its geometry fans out from few-trunks-carrying-much to many-leaves-each-carrying-little, so upstream throughput overstates endpoint coverage. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Latency is a specific kind of constraint, binding system response time below an irreducible transit minimum.

Latency is a specialization of constraint. The general pattern restricts admissible configurations to those satisfying a binding condition, with the feasible set as a first-class object. Latency instantiates this with the binding condition being the irreducible time interval between stimulus and observable response: no configuration can produce a response faster than the transit cost through the channel or pathway. The bound is physical (signal propagation, processing time, dead time) rather than statistical, and it partitions the achievable response-time region. It is constraint operating along the time dimension as an irreducible lower bound on signal transit.


Latency presupposes time because the irreducible interval between stimulus and response is a temporal duration measured along time's ordering.

Latency is the irreducible time interval between stimulus and observable response — the transit cost of a single signal through a channel or process. The construct is constitutively temporal: it measures the gap between an input event and its corresponding output event along the earlier-to-later dimension. Time supplies that ordering with measurable duration and irreversible succession. Without time as a structural foundation, there would be no interval to measure, no past input distinct from present output, and no characteristic delay distinguishing latency from throughput.


The bundle's invisibility is a per-category accounting frame failing to aggregate across heterogeneous categories — it presupposes the aggregation operation (and critiques its absence across categories). Loosely held; the prime is more a valuation-discipline than an aggregation specialization.


Lateral inhibition presupposes figure-ground because suppressing neighbors to amplify a winner is the mechanism by which figure separates from ground.

Lateral inhibition has activated elements suppress their neighbours, amplifying local differences so a single winner or sharp boundary emerges from a field of competitors. This presupposes figure-ground: the structural organization of a perceptual field into a salient figure and a recessive ground, with reciprocal mutually-exclusive assignment in which the boundary belongs to the figure. The neighbour-suppression dynamic is the computational mechanism by which a distributed system manufactures the figure-ground assignment: the more strongly an element is excited, the harder it pushes neighbours toward ground, producing the bounded shaped figure that pops out from formless context.


Lateral inhibition presupposes feedback because peer-to-peer mutual suppression is a closed loop in which each element's activity controls its neighbors' inputs.

Lateral inhibition operates as mutual sideways suppression among peers: the more strongly an element is excited, the harder it pushes its neighbours down. This presupposes feedback: the structural arrangement in which a portion of a system's output is routed back to influence subsequent input, closing a loop between cause and effect. Each element's activity becomes a (negative-signed) input to its neighbours' subsequent state. The contrast-enhancing dynamic that produces edges and winners depends on the closed mutual loop; without feedback's routing of output back into input, peer suppression has no mechanism by which to act on the field.


Lateral inhibition presupposes contrast because its sideways suppression mechanism exists to amplify local differences into sharp boundaries.

Lateral inhibition presupposes contrast because its functional role is precisely the construction of perceptual contrast: an activated element suppresses its neighbors, so that local differences are amplified into edges, peaks, and crisp boundaries from a smooth gradient. Contrast supplies the general structural notion that meaning, identity, and discrimination emerge through emphasized differences between elements; lateral inhibition is one distributed mechanism by which a system manufactures that discreteness without central control. Without contrast as the goal-state, mutual sideways suppression has no purpose.


Lateral_inhibition is the specific SPATIAL arrangement (active units suppress neighbours to sharpen contrast) of the general applied block; plain inhibition makes no spatial/contrast commitment.

lateral_inhibition is the specific SPATIAL arrangement (active units suppress neighbours to sharpen contrast) of the general applied block; plain inhibition makes no spatial/contrast commitment. inhibition is the substrate-general parent. The 0.9087 similarity resolves to parent-of, not duplicate.


The law presupposes complexity (the quantity it conserves) and adds two specific claims — an irreducible FLOOR and a SHIFT relation that relocates burden without lowering the total. complexity is the embedding-nearest (0.95) and the quantity the prime is about but not identical to. Complexity supplies the prerequisite condition: Measures system intricacy. Law of Conservation of Complexity operates against that background: Every problem has an irreducible complexity floor that design can shift between parties or moments but cannot reduce below the floor. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Tesler's law is adjacent to trade_offs but is CONSERVATION not exchange (file 'Not': it conserves the SAME quantity across an interface rather than swapping one good for another). Trade-offs supplies the prerequisite condition: Balancing competing priorities. Law of Conservation of Complexity operates against that background: Every problem has an irreducible complexity floor that design can shift between parties or moments but cannot reduce below the floor. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


The law of large numbers is convergence specialized to stochastic empirical averages or frequencies approaching their expectation under stated conditions. An indexed family approaches a declared limit so that sufficiently late members lie arbitrarily close in the relevant convergence mode. The indexed family is a normalized aggregate of random observations, the limit is their expectation or long-run rate, and convergence is in probability or almost surely under probabilistic regularity conditions.


The law of large numbers presupposes probability because its random observations, expectation target, and convergence modes are probabilistic objects. Remove probability measures, random variables, expectation, and probabilistic convergence and the theorem loses both its sequence model and limit claim. The law is a theorem inside probability theory, not a probability measure or the general apparatus for quantifying uncertainty.


The law contains aggregation because its empirical mean or relative frequency is constructed by combining observations into a normalized summary. Remove the sum, count, or empirical-measure aggregation across observations and there is no sample average or frequency whose limit can be asserted. parent_in_child


The cross-batch note and both frame law_of_the_instrument as a bias, but a STRONGER, structurally-distinct one: the tool inventory shapes which problem is PERCEIVED (upstream construction), not just the downstream verdict. is a specialization of bias, specialized to capability-shaped perception. 'often filed loosely as a cognitive bias' — admit bias as parent while preserving the perceptual-upstream distinction. Bias supplies the genus: Systematic, directional error distinct from random noise. Law of the Instrument preserves that general structure while adding its differentia: The tools an agent possesses systematically bias what it recognises as a problem, what category the problem is sorted into, and what intervention is generated — the world's joints get carved into shapes the tool can grip, and joints it cannot grip become invisible. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Layered accumulation is a specific kind of aggregation, retaining sequential deposition history rather than collapsing entries into a flat summary.

Layered accumulation is a specialization of aggregation. The general pattern collapses many items into a unified form that retains chosen features while suppressing detail, with the function encoding a claim about what matters. Layered accumulation instantiates this with the retained feature being deposition sequence and conditions: discrete units stack in time-ordered strata, and the current state is the vertical integral of every preserved past state. The aggregation function preserves time-order and per-layer conditions rather than averaging them away. It is aggregation that retains the historical depth dimension as a readable record.


Layered accumulation is a specialization of layering in which strata deposit sequentially over time and preserve their conditions of formation.

Layered accumulation is a specialization of layering. The general layering pattern organizes a system into stacked strata with each layer providing services or abstractions to the next. Layered accumulation specializes by adding two commitments: the layers deposit sequentially in time-ordered fashion, and each layer preserves the conditions of its deposition so the stratigraphy reads as a record of history. The horizontal-strata architecture is retained, with the additional temporal-deposition and history-preservation properties making the stack a readable archive.


Layered Accumulation is a specialization of Accumulation, retaining the parent's defining structure while adding the child's specific commitments.

Accumulation supplies the genus: A stock grows or shrinks as the time-integral of its net inflow minus outflow, so stocks and flows live on different objects and cannot be equated. Layered Accumulation preserves that general structure while adding its differentia: Sequential time-ordered deposition in which each new layer rests atop the prior ones, so the position of a layer encodes when it formed and the stack becomes a readable record of history. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Layered coordination and oversight is a specialization of coordination in which alignment is achieved through tiers of authority with bounded scope.

Layered coordination and oversight is a specialization of coordination in which the alignment of independently controlled actors is achieved through multiple tiers of authority, each responsible for tasks at its own scope, with higher tiers providing strategy, resources, and conflict resolution and lower tiers retaining routine decision rights. It inherits coordination's general apparatus of aligning distributed actors into coherent collective outcomes and specializes by fixing the mechanism to tier differentiation with downward flows of strategy and resources, upward flows of reporting and escalation, and within-tier peer coordination.


Lazy Evaluation is a specialization of Postponement, retaining the parent's defining structure while adding the child's specific commitments.

Postponement supplies the genus: Delay the point at which a system commits to a final configuration until more information about which configuration is wanted arrives, trading earliness for accuracy. Lazy Evaluation preserves that general structure while adding its differentia: Defer work until its result is actually demanded. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Lead-and-support PRODUCES a figure-ground organisation across channels — figure_ground is the effect, deference design is the craft. It presupposes figure_ground (the perceptual foreground/background the craft authors) and adds the active cross-channel deference apparatus along four axes. Figure-Ground supplies the prerequisite condition: Perceptual organization of a field into salient figure and receding ground. Lead-and-Support Hierarchy operates against that background: When multiple simultaneous channels carry related content, one channel takes the lead while the others provide coordinated, structurally subordinate support that actively defers to it in prominence, timing, and register, producing a figure-ground hierarchy across the channels. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


Learned helplessness is a specialization of learning in which the acquired internal capability is a belief that action and outcome are independent.

Learned helplessness is a kind of learning specialized to a maladaptive content: the durable update an agent acquires is a generalized representation that its actions do not control outcomes. It inherits learning's general commitment that experience produces a durable change in internal state altering future behavior, and adds the specific case where uncontrollable aversive exposure produces a learned non-contingency belief that then suppresses escape attempts even when escape becomes possible — a real learning episode whose acquired model is a wrong, action-suppressing one.


Learning is a specialization of adaptation in which an agent's internal capability is the structure modified in response to experience.

Learning is a kind of adaptation specialized to an agent's internal cognitive or behavioral capability. Both share the adaptation pattern of modifying internal structure in response to sustained environmental input so that continued functioning under new conditions improves. Learning narrows the substrate to knowledge, skill, model, or behavior held by an agent, and narrows the trigger to experience or information. The broader adaptation prime spans physiological, developmental, and evolutionary modification; learning is the particular case where the modified system is an information-processing agent whose future predictions or performance change as the durable trace of acquisition.


Memory Consolidation is an internal stabilization phase of Learning when durable change depends on converting a fragile trace into stable memory.

Learning produces a durable, experience-driven change in an agent's knowledge, capability, model, or behavior. Where that durability is achieved through a newly encoded memory trace, Memory Consolidation is the internal stabilization phase that converts the initially fragile trace into a persistent form capable of affecting later performance. The relation is conditional because some learning mechanisms update behavior or parameters without a separately identifiable fragile-to-stable memory stage.


Learning curve effects are a specialization of increasing returns in which unit cost or error rate falls as cumulative experience grows.

Learning curve effects are a kind of increasing returns specialized to cumulative practice as the state variable: each doubling of cumulative output yields a roughly constant fractional improvement in unit cost, time, or error rate. They inherit the general pattern that the marginal benefit of additional accumulation rises rather than falls, producing self-reinforcing advantage and lock-in for the practitioner, and supply the specific case where the accumulating variable is repetitions performed and the increasing-returns mechanism is acquired skill rather than scale, demand-side adoption, or expectational feedback.


Learning curve effects presuppose learning because the predictable cost decline with cumulative experience is a downstream signature of durable self-update.

Learning curve effects describe the empirical regularity that unit cost, time, or error rate falls predictably with cumulative experience, often following a power law. The pattern is parasitic on actual learning happening: without durable experience-driven self-update of the producing agent's internal capability, repetition would yield no improvement. Learning supplies the underlying durable update mechanism; the learning curve is its aggregate quantitative signature visible in production data. So learning curve effects presuppose learning as the underlying capability change that produces the observable cumulative-volume improvement.


Learning-substrate contamination contains a normal learning process whose durable update converts adversarially selected evidence into later behavior.

The adversary shapes experience or evidence rather than directly writing retained state. A learner must incorporate that substrate and preserve its influence for the later distortion to exist.


Legacy integration presupposes dependency because preserving institutional knowledge across rupture requires explicit linkage between new and prior systems.

Legacy integration presupposes dependency because maintaining practice continuity, institutional knowledge, or cultural identity across discontinuous shifts requires that the new structure be linked to and rely on elements of the prior one. Without dependency's directed reliance relation, the post-rupture system could simply discard the legacy without consequence; legacy integration arises precisely because functions, data, or commitments in the new structure remain bound to artifacts from the old. Dependency supplies the structural couplings that make integration — rather than clean replacement — the operative engineering or organizational choice.


Legacy integration is the specific shape continuity-vs-rupture takes when accumulated institutional knowledge is selectively preserved across a discontinuous structural change.

Legacy integration is the continuity-side particularization of the continuity-versus-rupture dimension: in the face of a discontinuous organizational shift, the practice selectively threads elements of the predecessor system into the successor structure, producing layered continuity rather than clean rupture. Where the parent prime situates change between fully continuous evolution and full discontinuous break, legacy integration specifies the active choice to preserve causal and epistemic continuity across what would otherwise be a sharp organizational boundary.


Legibility is Abstraction specialized to retaining the features a distant actor can compare and act on while discarding heterogeneous local context.

It preserves purpose-relative selection from a richer target and fixes the purpose to observation, comparison, coordination, or control at a distance. The child adds an administrative vantage, standardized categories, an action interface, and characteristic loss of local knowledge.


Legibility contains a simplified Representation through which the distant actor sees and acts on selected features of the richer target.

A census, cadastral map, KPI dashboard, schema, or classification is not the target itself but the medium that makes selected target features readable. Remove that target-to-medium mapping and there is no legibility scheme, only direct local familiarity or opaque reality.


Legitimacy presupposes authority because it names the property by which an authority's commands are treated as rightful rather than merely powerful.

Legitimacy presupposes authority because it is defined as a structural property of authority itself — the condition under which those subject to authority voluntarily comply, recognizing it as rightful rather than as bare coercion. Without the prior existence of authority as the capacity to issue binding decisions, there is nothing for legitimacy to qualify. Legitimacy inherits authority's general apparatus of recognized right-to-decide and specializes it by adding the further commitment that compliance flows from acknowledgment of rightfulness — backed by procedural, democratic, performance, traditional, charismatic, or legal sources — rather than from continuous enforcement.


The prime is the specific pathology of an inquiry that YIELDS legitimacy while its findings are structurally insulated from the decision; it presupposes legitimacy as the currency it concerns. 'legitimacy is the currency this prime is about'. Legitimacy supplies the prerequisite condition: Accepted authority. Legitimacy-Yielding Inquiry Insulated from Decision operates against that background: An organisation runs an inquiry, consultation, or review whose nominal purpose is to inform a decision but whose findings are structurally insulated from changing it, so the activity persists because it confers legitimacy rather than because it informs. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Leverage points typically presuppose feedback because the disproportionate effect of small interventions runs through reinforcing or balancing loops.

A leverage point is a location where a small change produces disproportionate effects on system trajectory. The mechanism that amplifies small interventions into large outcomes is typically feedback: a reinforcing loop magnifies the change as it cycles, or a balancing loop transmits the change through compensating dynamics that reshape goals or rules. Feedback supplies the closure A-B-A in which the system's output becomes its own input. Leverage operates through such loops in most cases, though some high-leverage paradigm-level interventions act through belief-restructuring without immediate feedback, hence typical.


Leverage points is the specific shape causality takes when systems have locations where small causes produce disproportionately large effects.

Causality is the structural relation between cause and effect, gated by a productive connection and modal robustness so that variations in the cause produce variations in the effect. Leverage points is the particular shape this relation takes in complex systems where causal influence is highly non-uniform across locations: small changes at certain variables, rules, or paradigm-level commitments produce outsized downstream effects. It is a structurally-particularized instance of causal influence whose specific signature is amplification — disproportionate effect size for a given intervention magnitude — ranked across intervention sites by depth.


License as coordination is coordination specialized to aligning independent actors through standing published permissions.

Coordination aligns independently controlled actors so their actions can combine coherently. License as Coordination does so by publishing reusable permission terms in advance, allowing actors to plan and transact against the same rule without negotiating separately with the rights holder.


Liebig's Law is Constraint specialized to the binding minimum among non-substitutable complementary inputs.

Each required input imposes a bound on feasible output: output cannot exceed that input's available quantity divided by its per-unit requirement. Their intersection is a constrained feasible region, and the smallest ratio is the active binding constraint. Liebig's Law adds fixed-proportion complementarity, a min-operator, a kinked response, and migration of the active constraint when the current minimum is lifted.


Liebig's Law is the quantitative min-over-complements species of the Anna Karenina Principle's conjunction of necessary conditions.

At any proposed output level, every non-substitutable input requirement must be satisfied; a shortfall in any one defeats that level. Liebig's Law specializes the parent by assigning quantities and per-unit requirements to the necessary conditions, making feasible output the minimum supply-to-requirement ratio and causing the binding input to migrate when it is lifted. The distinction is structural, not ecological: both primes transfer across domains, while Liebig fixes the quantitative fixed-proportion production form.


Life Cycle Assessment presupposes boundary critique because its accounting depends on a deliberate, defensible choice of system boundary and functional unit.

Life Cycle Assessment presupposes boundary critique because the entire accounting — what counts inside the system and what is externalized — is determined by the goal-and-scope definition phase that sets the system boundary and functional unit. Different boundary choices produce radically different impact totals, so the analysis is conditional on the boundary as drawn. Boundary critique supplies the reflective-framing machinery that surfaces, questions, and renegotiates that choice; without it, LCA results would be presented as objective measurement when they are in fact conditional on an embedded normative-strategic decision about where to cut.


Life cycle assessment presupposes traceability because totaling environmental burden requires linking impacts back to specific upstream stages and flows.

LCA quantifies the full environmental burden of a product across raw-material extraction, manufacturing, distribution, use, and end-of-life — requiring that every material and energy flow be linked to the specific stage where it occurred. Traceability supplies exactly the infrastructure that lets any element of a system be linked backward through its history of derivation, origin, and custody. Without traceable flows there is no defensible inventory, no attribution of impacts to stages, and no auditable LCA result. LCA therefore presupposes traceability as the data-substrate on which its accounting depends.


Liminality is the specific shape boundary takes in the time dimension, where the threshold itself becomes a marked transitional zone.

Liminality is the specific shape boundary takes when an actor is suspended in the threshold between a prior and subsequent status, neither fully in nor fully out. The boundary pattern names a demarcation between inside and outside with permeability governing flows; liminality particularizes this by extending the boundary into a dwellable temporal interval in which the demarcation criterion is suspended, ordinary rules do not fully apply, and the actor is ritually or institutionally bracketed. It is the boundary turned into a habitat: ambiguity, plasticity, and communitas are what living-on-the-edge looks like structurally.


Liminality presupposes state and state transition because the threshold middle phase between prior and subsequent statuses requires a state space with transitions.

Liminality is the threshold state in which an actor is suspended between prior and subsequent statuses, marked by status ambiguity and characteristic dissolution-and-plasticity. The construct is constitutively about being mid-transition: there is a state before, a state after, and a recognized intermediate region between them. State-and-state-transition supplies that architecture, with the additional commitment that transitions are not instantaneous but can occupy an extended state of their own. Without underlying states and transition structure, there would be no before-and-after for liminality to lie between.


A heavy-tailed lifetime distribution is the PRIOR the effect requires; Lindy adds the age-conditioned update (survival to age t shifts mass into the tail) the bare distribution does not assert. Presupposes heavy_tailed_distributions. Heavy-Tailed Distributions supplies the prerequisite condition: Distributions where rare, extreme events carry most of the weight. Lindy Effect operates against that background: For entities that do not age, the longer they have already survived, the longer their expected remaining survival becomes. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Every Linear Combination is aggregation specialized to scaling each input by a weight and adding the results with no interaction terms.

Linear Combination inherits Aggregation's many-to-one construction from several inputs. It adds a coefficient for each input, scalar multiplication, addition, a stated weight domain, and the no-interaction invariant. Aggregation also includes maxima, medians, nonlinear roll-ups, and other rules, but every admitted linear combination is an additive weighted aggregation.


Linear Independence is the framed or domain-specific realization of Basis; removing the local frame leaves the parent's structural relation intact.

After the mathematics frame is stripped away, the retained structural roles are those of Basis: A minimal independent generating set — the smallest collection from which every element of a space can be produced, with no member derivable from the others. Linear Independence adds the local frame and commitments expressed in its identity: No member of a collection is reproducible as a weighted sum of the others. The parent pattern remains recognizable without that vocabulary, while the child is the framed realization of it. That preservation test establishes decomposition rather than taxonomic subsumption.


Linear Independence presupposes Linear Combination, whose structure must already obtain for the child mechanism to be meaningful or operational.

Linear Combination supplies the prerequisite condition: Scale each of several objects by a weight and add them together. Linear Independence operates against that background: No member of a collection is reproducible as a weighted sum of the others. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


Linear Programming contains linear Constraints that define which candidates are feasible.

A linear program combines an objective with linear equalities, inequalities, and domain restrictions that delimit its feasible candidates. Those Constraints are internal terms of the full optimization problem alongside its decision variables and objective; the whole program is not itself a single Constraint. Removing the restrictions destroys the polyhedral feasible region and leaves at most an unconstrained linear objective.


Linear programming is a specialization of optimization with linear objectives, linear constraints, and continuous variables over a polyhedral feasible region.

Linear programming is a specialization of optimization. Specifically, it instantiates the search-for-an-element-maximizing-or-minimizing-an-objective-under-constraints by restricting both objective and constraints to linear functions and allowing continuous decision variables. The decision variables, objective, constraints, and notion of optimality are exactly an optimization quartet; the linear-and-continuous restriction places the problem in a polyhedral geometric setting where optima lie at vertices and the simplex and interior-point algorithms guarantee efficient global solution, distinguishing it within the broader optimization class.


This prime is the specific MISMATCH failure-mode of order in serial delivery — order-as-failure where sequencing is order-as-existence. A specialization of sequencing. Sequencing supplies the genus: Deliberately ordering steps under precedence constraints so that the arrangement itself, not just the set of tasks, determines the outcome. Linearization-Meaning Mismatch preserves that general structure while adding its differentia: Multi-dimensional content forced through a serial channel is ordered by a principle that does not match the one the consumer reasons by. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Linearization-Meaning Mismatch is the species of representational structure mismatch in which a multi-relational source is projected into one serial order whose principle differs from the consumer's reasoning order. Representational Structure Mismatch supplies the genus: A representation preserves its target's elements but misstates one or more task-relevant relations among them, so content can appear complete while its shape licenses the wrong traversal, inference, or action. Linearization-Meaning Mismatch preserves that general structure while adding its differentia: Multi-dimensional content forced through a serial channel is ordered by a principle that does not match the one the consumer reasons by. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


Linguistic universals is the specific shape invariance takes when structural properties are preserved across the world's languages.

Linguistic universals is the structurally-particularized form invariance takes in the cross-linguistic case: the preserved feature is the named structural property (e.g., "every language distinguishes nouns from verbs"), the transformation group is variation across the ~7,000 languages, and the empirical evidence is the typological sample. It satisfies invariance's joint commitment — what is preserved under which operations — particularized to the case where the operations are inter-linguistic comparison and the invariants are the universals themselves.


Liquidity presupposes exchange because the speed of converting an asset to usable form is a property of the exchange channels available for it.

Liquidity presupposes exchange because the ease and speed with which an asset converts to immediately usable form is a measurement of the exchange channels available — how readily counterparties can be found and conditional transfers consummated without significant loss of value. Without exchange's bilateral-transfer pattern, conversion has no meaning: there is no other party to receive the asset and supply the medium. Exchange supplies the structural substrate; liquidity describes how friction-free that substrate is for a particular asset in a particular context.


Liquidity presupposes transaction costs because the friction it measures is precisely the cost of converting an asset into usable form.

Liquidity presupposes transaction costs because the friction it measures — the time, price concession, and uncertainty between holding an asset and using it — is itself a species of transaction cost: search for counterparty, negotiation, bid-ask spread, settlement. Without transaction costs as a prior category, the concept of liquidity-as-ease-of-conversion would have nothing to vary against; an asset would either be cash or not, with no intermediate gradient. Liquidity inherits the transaction-cost framework and specializes it to the cost of monetization, making it the inverse measure of friction along the convert-to-cash dimension.


Livelock contains a coupled feedback loop in which each responsive move elicits the compensating move that sustains non-progress.

The recurrent active-but-stalled state is constituted by outputs from each participant feeding back as inputs to the other; without that response loop there may be delay or blockage, but not livelock.


Load balancing is the specific shape allocation takes when divisible work is assigned across substitutable units of parallel capacity.

Load balancing is the particularization of allocation to a setting where the limited supply is the aggregate capacity of a pool of interchangeable units and the competing claimants are increments of a divisible workload. Where allocation names the bare assignment of finite supply to competing demands generally, load balancing fixes the structural features: the resources are substitutable in parallel, the demands are stream-like increments that can be split, and the assignment rule routes each increment to wherever spare capacity exists.


Load balancing is a canonical specific resource-allocation technique (distributing work across capacity) within the broader resource management discipline. Resource Management supplies the genus: Allocation of finite assets. Load Balancing preserves that general structure while adding its differentia: Distributing work across resources so none is overloaded. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association. The typical qualifier limits the claim to the characteristic route, not a constitutive requirement of every instance; exceptions must retain the child's identity through another mechanism.


A loading dose presupposes a stock that accumulates net inflow, because the initial excess input exists to fill that stock faster than the maintenance inflow can.

The loading regime is meaningful only for a stock whose level changes by accumulated inflow minus outflow. The temporary excess input closes the initial stock deficit; once the target is reached, only the replacement of ongoing outflow remains.


A loading dose presupposes a target steady operating range whose balancing maintenance input is smaller than the temporary loading input.

The defining contrast between loading and maintenance requires a target operating state in which ordinary inflow balances loss. Without that steady target, there is no principled point at which the exceptional initial input should fall to a maintenance rate. Loading Dose is not a kind of Bootstrapping: it needs neither self-produced stages nor recursive construction from its own outputs.


Local autonomy with tiered escalation presupposes delegation of authority because resolving issues at the lowest competent level requires authority distributed downward with reserved escalation paths.

Local autonomy with tiered escalation presupposes delegation of authority because the principle of resolving issues at the lowest competent tier requires that decision-making power be formally assigned downward, with specified limits and reserved escalation pathways back upward. Without delegation's apparatus -- principal-agent assignment, defined scope, accountability mechanisms -- there is no lower competent level to hold the decision and no procedure for escalating when scope exceeds local capacity. Subsidiarity is delegation patterned by competence-band rather than by hierarchy alone. Delegation of Authority supplies the prerequisite condition: Assign responsibility. Local Autonomy & Tiered Escalation operates against that background: Escalate when needed. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.


A scoped-delegation, decide-at-lowest-competent-level specialization of the inner/outer-authority relation — a kind-of autonomy. Autonomy supplies the genus: A unit's behavior is governed by its own internal rules or chosen reasons rather than external direction, defined by the inner-versus-outer authority asymmetry over a scoped domain. Local Autonomy & Tiered Escalation preserves that general structure while adding its differentia: Escalate when needed. The parent can occur without those added commitments, whereas removing the parent structure leaves no basis for classifying the child as this subtype. That asymmetry establishes subsumption rather than mere association.


'Optimization is the ACTIVITY of which a local optimum is a failure MODE.' A local optimum presupposes a value landscape under improvement search — it is the trap the optimization search falls into. Optimization supplies the prerequisite condition: Finds best solution under constraints. Local Optimum operates against that background: A point best within its neighborhood but not across the whole landscape. If the parent condition is removed, the child relation becomes undefined or loses the mechanism asserted by this edge; the parent can obtain independently, so the relation is presupposition rather than subsumption.