Clear all
Work #1310 · Early

The Principles of Mathematics

Bertrand Russell
1903 · English
Mathematical-philosophical treatise · Analytic philosophy / Logicism / Mathematical logic

Russell's 1903 foundational logicist treatise

Attribute Fingerprint

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

Attribute The Principles of Mathematics (Early)
Time · Extent Infinite
Time · Ontological Status Substantival
Time · Grain Discrete
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 None
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 Discrete

Dimension-by-Dimension Evidence

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

Time

The Principles of Mathematics

1903 early-Russell.

Space

The Principles of Mathematics

Cambridge.

Matter

The Principles of Mathematics

Mathematical-logical subjects.

Observer

The Principles of Mathematics

Russell as logicist.

Energy

The Principles of Mathematics

Mathematical-logical energies.

Information

The Principles of Mathematics

Systematic treatise content.

Internal Tensions

Where each work's argument pulls against itself.

The Principles of Mathematics

Russell's paradox revealed in the Principles itself; subsequent logicism developed in Principia Mathematica.