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.
The Foundations of Arithmetic
Arithmetic is reducible to logic — numbers are not subjective ideas but objective abstract entities accessible to reason
Attribute Fingerprint
Rows where works disagree are highlighted in gold. The full ontology grid is shown.
| Attribute | The Foundations of Arithmetic |
|---|---|
| Time · Extent | Infinite |
| Time · Ontological Status | Substantival |
| Time · Grain | Continuous |
| Time · Freedom | Non-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 | 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 | Finite |
| 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
The Foundations of Arithmetic
Numbers are timeless abstract objects. Real time in physical reality is the standard nineteenth-century framework.
Space
The Foundations of Arithmetic
Numbers are not in space. Standard treatment of physical space.
Matter
The Foundations of Arithmetic
Material objects are real but not the subject of arithmetic. Standard scientific realism.
Observer
The Foundations of Arithmetic
The Fregean observer is the rational agent capable of grasping objective thoughts. The "third realm" of objective thoughts is accessible to all rational minds.
Energy
The Foundations of Arithmetic
Not engaged.
Information
The Foundations of Arithmetic
Numbers and thoughts are substantival abstract informational entities. Personal information not philosophically privileged.
Internal Tensions
Where each work's argument pulls against itself.
Russell's paradox destroyed the formal program of the Foundations; Frege's appendix to the Grundgesetze volume II (1903) acknowledged the catastrophe but could not resolve it. The philosophical achievements survived independently of the formal failure, and the twenty-first-century neo-logicism (Crispin Wright, Bob Hale) has attempted to recover the program with new principles.