Philosophiæ Naturalis Principia Mathematica¶
Newton, I. (1687). Philosophiæ Naturalis Principia Mathematica.
Cited by¶
11 citations across 11 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Conservation Laws
- Determinism
- The canonical formulation is Laplace's demon — Newton (1687) supplied the dynamical laws, and Laplace (1814) supplied the metaphysical reading.
This sourceExpounds the three laws of motion and universal gravitation, supplying the dynamical laws (Newton's equations of motion) that the Laplacian/Newtonian-determinism claim treats as the law-governing component of the state-plus-law transition (081).
- The canonical formulation is Laplace's demon — Newton (1687) supplied the dynamical laws, and Laplace (1814) supplied the metaphysical reading.
- Discrete vs. Continuous (Quantization)
- Classical continuum mechanics (Galileo 1638, Newton 1687
This sourceLays out classical mechanics over continuous space and time — continuous trajectories, real-valued position and momentum. Cited as the continuum-mechanics baseline against which quantum discreteness is contrasted.
- Classical continuum mechanics (Galileo 1638, Newton 1687
- Equivalence Principle
- The principle manifests in three strengths: weak equivalence principle (WEP, asserting
This sourceEstablishes (Book III) that gravitational and inertial mass are proportional, 'as I have found by experiments on pendulums, very accurately made' — the empirical basis of the weak equivalence principle.
- The principle manifests in three strengths: weak equivalence principle (WEP, asserting
- Frame of Reference
- Newton
This sourceThe opening Scholium lays out absolute, true, and mathematical time and space as a fixed background, grounding the inertial frame as a privileged reference frame; the rotating-bucket argument is offered as evidence for absolute rotation.
- Newton
- Inertia
- Newton's 1687 Principia
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- Newton's 1687 Principia
- Mach's Principle
- The construct originated in Ernst Mach's Die Mechanik in ihrer Entwicklung (1883)
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- The construct originated in Ernst Mach's Die Mechanik in ihrer Entwicklung (1883)
- Oscillation
- Newton's analysis in the Principia (1687)
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- Newton's analysis in the Principia (1687)
- Perturbation
- Every perturbation claim specifies (1) the reference state or baseline trajectory relative to which the perturbation is defined, (2) the magnitude and nature of the perturbation, (3) the response of interest (linear, leading-order nonlinear, statistical distribution of outcomes), and (4) the regime of validity within which the perturbative treatment is a good approximation.
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- Every perturbation claim specifies (1) the reference state or baseline trajectory relative to which the perturbation is defined, (2) the magnitude and nature of the perturbation, (3) the response of interest (linear, leading-order nonlinear, statistical distribution of outcomes), and (4) the regime of validity within which the perturbative treatment is a good approximation.
- Time
- Time is the dimension along which events are ordered from earlier to later, with measurable duration, irreversible succession, and a privileged direction (arrow) as core features, an account that traces from Newton's (1687) treatment of absolute, mathematical time as an ordering parameter that "of itself, and from its own nature, flows equably without relation to anything external."
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- Time is the dimension along which events are ordered from earlier to later, with measurable duration, irreversible succession, and a privileged direction (arrow) as core features, an account that traces from Newton's (1687) treatment of absolute, mathematical time as an ordering parameter that "of itself, and from its own nature, flows equably without relation to anything external."
- Uniformitarianism
- Not strict invariance (#9 invariance) — strict invariance asserts a property does not change; uniformitarianism asserts that process types (not necessarily rates or intensities) are preserved, distinguishing it from the strong form of physical-law invariance Newton (1687) embedded in his Principia (laws unchanged across time and space).
This sourceEstablishes physical laws (gravitation, motion) as universal across time and space — the strong invariance claim that ontological uniformitarianism inherits but that methodological uniformitarianism distinguishes itself from by allowing rate or boundary-condition variation.
- Not strict invariance (#9 invariance) — strict invariance asserts a property does not change; uniformitarianism asserts that process types (not necessarily rates or intensities) are preserved, distinguishing it from the strong form of physical-law invariance Newton (1687) embedded in his Principia (laws unchanged across time and space).
Verification¶
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Links previously used in the corpus¶
Before the registry existed this work was also linked 3 other ways.
- https://www.loc.gov/item/2021667054/ ×2
- https://archive.org/details/McGillLibrary-osl_newton-philosophiae-naturalis-principia-mathematica_N563p1687-20098 ×1
- https://doi.org/10.5479/sil.52126.39088015628399 ×1
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