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Work #38

Philosophiæ Naturalis Principia Mathematica

Isaac Newton
1687 (first ed.); 1713, 1726 (second and third revised eds) · Latin (English translation Andrew Motte 1729)
Mathematical-physical treatise in three books, with Definitions, Laws of Motion, and General Scholium · Early modern natural philosophy / classical physics

Absolute space and time; universal gravitation; the system of the world deduced from three laws — the founding text of mathematical physics

Attribute Fingerprint

Rows where works disagree are highlighted in gold. The full ontology grid is shown.

Attribute Philosophiæ Naturalis Principia Mathematica
Time · Extent Infinite
Time · Ontological Status Substantival
Time · Grain Continuous
Time · Freedom Deterministic
Time · Traversability Linear
Time · Dimensionality One
Time · Direction Uni-directional
Space · Extent Infinite
Space · Ontological Status Substantival
Space · Curvature Flat
Space · Dimensionality Three
Space · Locality Non-local
Matter · Extent Infinite
Matter · Ontological Status Substantival
Matter · Conservation Conserved
Matter · Dimensionality Three
Matter · Locality Non-local
Observer · Time Instance Single
Observer · Space Instance Single
Observer · Knowledge Extent Total
Observer · Knowledge Retainment Total
Observer · Physicality Embodied
Observer · Agency Active
Observer · Number Plural
Observer · Metaphysical Agency Personal
Observer · Moral Authority Reason
Observer · Theological Method
Energy · Extent Infinite
Energy · Ontological Status Substantival
Energy · Conservation Conserved
Energy · Dispersibility Irreversible
Information · Ontological Status Substantival
Information · Cosmic Conservation Conserved
Information · Personal Conservation Conserved
Information · Granularity Continuous

Dimension-by-Dimension Evidence

What each work's passages reveal about its stance on each of the six dimensions.

Time

Philosophiæ Naturalis Principia Mathematica

Absolute time is the Newtonian thesis: time flows equably, independently of any physical process, the same everywhere. Substantival, infinite, continuous, linear, uni-directional. Newton's framework was overturned by Einstein's special relativity (1905), but for over two centuries it defined what time was in scientific thought.

Space

Philosophiæ Naturalis Principia Mathematica

Absolute space exists independently of bodies — Newton's bucket experiment (Scholium) argues that rotational motion is real with respect to absolute space, not just relative to other bodies. The famous Clarke-Leibniz correspondence is a sustained attack on this view; Einstein's general relativity ultimately vindicated a more relational treatment. Newton's gravity is *non-local* in the precise sense: instantaneous action at a distance across arbitrary spatial separations.

Matter

Philosophiæ Naturalis Principia Mathematica

Substantival, conserved (Newton's mass-conservation principle underlies the Principia's mathematical treatment), three-dimensional. Matter is the bearer of gravity and inertia.

Observer

Philosophiæ Naturalis Principia Mathematica

The Newtonian observer is the rational philosopher who frames mathematical hypotheses against the phenomena. The metaphysical agency in the General Scholium is personal — Newton's God is a real, providential being — though within the working physics the observer's role is to deduce the system of the world.

Energy

Philosophiæ Naturalis Principia Mathematica

The Principia predates the modern concept of energy (formalised by Helmholtz in the 1840s), but Newton's framework laid the groundwork: vis viva, mass, momentum, and force are all rigorously treated. Substantival, conserved across collisions in the elastic case, irreversibly dissipative in the inelastic.

Information

Philosophiæ Naturalis Principia Mathematica

The mathematical structure of nature is the substantival informational pattern, conserved across cosmic history. Newton himself maintained a robust Christian doctrine of personal immortality — the General Scholium's God is genuinely providential — so personal information is conserved across death.

Internal Tensions

Where each work's argument pulls against itself.

Philosophiæ Naturalis Principia Mathematica

Newton's absolute space and time were attacked at the time by Leibniz (the Clarke-Leibniz correspondence is the philosophical core of this dispute) and have been definitively replaced by Einsteinian relativistic spacetime since 1915. Whether the Newtonian framework should be read as a useful limit-case approximation or as historically superseded false metaphysics is one of the live questions in philosophy of physics. Newton's "I feign no hypotheses" about the cause of gravity sits uneasily with his evident commitment to a theistic-providential framework outside the Principia.