A New Introduction to Modal Logic¶
Cresswell, M. J., & Hughes, G. E. (1996). A New Introduction to Modal Logic. Routledge.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Modal Reasoning
- The structural insight is robust across vastly different substrates because the operator and its accessibility relation are domain-neutral: a logician quantifying over possible worlds, a judge asking what would have happened but for an act, a planner enumerating reachable states, and a physicist comparing a trajectory to the field of allowed microstates all instantiate the same shape, a unifying observation Hughes and Cresswell (1996) develop in tracing how a single relational semantics underlies alethic, deontic, temporal, and epistemic systems.
This sourceTraces how a single relational semantics underlies alethic, deontic, temporal, and epistemic systems, develops frame-correspondence and operator-duality (□ ≡ ¬◇¬) results, and treats the S5 equivalence-relation frame under which iterated modalities collapse (◇p → □◇p).
- The structural insight is robust across vastly different substrates because the operator and its accessibility relation are domain-neutral: a logician quantifying over possible worlds, a judge asking what would have happened but for an act, a planner enumerating reachable states, and a physicist comparing a trajectory to the field of allowed microstates all instantiate the same shape, a unifying observation Hughes and Cresswell (1996) develop in tracing how a single relational semantics underlies alethic, deontic, temporal, and epistemic systems.
Mechanisms¶
- Modal Claim Table
- Its strength is making modal-language drift visible and blocking the modal scope fallacy
This sourceDistinguishes the scope of modal necessity and, in System K, licenses □Q from □(P→Q) only when □P is also available.
- Its strength is making modal-language drift visible and blocking the modal scope fallacy
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