Work Classification Layer
Compare Works
Pick two or more works to set their attribute fingerprints, dimension-by-dimension passages, and shared school embodiments side by side. Especially useful for author-stage comparisons (Wittgenstein early vs late) and for setting a single tradition's foundational texts against each other.
Principia Mathematica
The logicist programme in its most ambitious form — three volumes deriving arithmetic, set theory, and analysis from a small set of logical primitives
Attribute Fingerprint
Rows where works disagree are highlighted in gold. The full ontology grid is shown.
| Attribute | Principia Mathematica (Early (both authors)) |
|---|---|
| Time · Extent | Infinite |
| Time · Ontological Status | Relational |
| Time · Grain | Continuous |
| Time · Freedom | Deterministic |
| Time · Traversability | Linear |
| Time · Dimensionality | One |
| Time · Direction | Uni-directional |
| Space · Extent | Infinite |
| Space · Ontological Status | Relational |
| Space · Curvature | Flat |
| Space · Dimensionality | Three |
| Space · Locality | Local |
| Matter · Extent | Infinite |
| Matter · Ontological Status | Substantival |
| Matter · Conservation | Conserved |
| Matter · Dimensionality | Three |
| Matter · Locality | 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 | Non-conserved |
| Information · Granularity | Discrete |
Dimension-by-Dimension Evidence
What each work's passages reveal about its stance on each of the six dimensions.
Time
Principia Mathematica
The logical apparatus is timeless; physical time enters only via its mathematical representation.
Space
Principia Mathematica
Pure logical space; physical space is reconstructed as a derivation from arithmetic and set theory.
Matter
Principia Mathematica
Mathematical-logical reality is the focus; physical matter is presupposed but not analysed.
Observer
Principia Mathematica
The mathematician-logician as ideal rational observer, with total knowledge of the logical apparatus and its consequences (the logicist ideal).
Energy
Principia Mathematica
Not addressed; the work's subject is logical structure, not physical dynamics.
Information
Principia Mathematica
Discrete, symbolic, conserved — the information of the proof system is the focus.
Internal Tensions
Where each work's argument pulls against itself.
Gödel's 1931 incompleteness theorems demonstrated that the logicist programme cannot fully succeed: any consistent formal system powerful enough to express arithmetic contains truths it cannot prove. The ramified theory of types proved cumbersome and was replaced by Zermelo-Fraenkel set theory in subsequent foundational work. The two authors diverged sharply after the work: Whitehead to process metaphysics, Russell to political writing. The work's relation to subsequent philosophy of mathematics (intuitionism, structuralism, neo-logicism, mathematical naturalism) remains an active area of research.