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.
Mathematical Commentary on Diophantus
The mathematical and philosophical legacy of the last great Alexandrian scholar — reconstructed from fragments and testimony
Attribute Fingerprint
Rows where works disagree are highlighted in gold. The full ontology grid is shown.
| Attribute | Mathematical Commentary on Diophantus |
|---|---|
| Time · Extent | Infinite |
| Time · Ontological Status | Substantival |
| Time · Grain | Continuous |
| Time · Freedom | Deterministic |
| Time · Traversability | Cyclical |
| Time · Dimensionality | One |
| Time · Direction | Uni-directional |
| Space · Extent | Infinite |
| Space · Ontological Status | Substantival |
| Space · Curvature | Curved |
| Space · Dimensionality | Three |
| Space · Locality | Local |
| Matter · Extent | Infinite |
| Matter · Ontological Status | Emergent |
| Matter · Conservation | Conserved |
| Matter · Dimensionality | Three |
| Matter · Locality | Local |
| Observer · Time Instance | Single |
| Observer · Space Instance | Single |
| Observer · Knowledge Extent | Partial |
| Observer · Knowledge Retainment | Total |
| Observer · Physicality | Embodied |
| Observer · Agency | Active |
| Observer · Number | Plural |
| Observer · Metaphysical Agency | Cosmic-ordering |
| 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 | Continuous |
Dimension-by-Dimension Evidence
What each work's passages reveal about its stance on each of the six dimensions.
Time
Mathematical Commentary on Diophantus
Within the Neoplatonic framework Hypatia taught, time is the moving image of eternity — cyclical at the cosmic level, directed within each world-cycle.
Space
Mathematical Commentary on Diophantus
The Alexandrian Neoplatonic cosmos is hierarchically structured from the One through Nous to the material world. Space is real but derivative of higher intelligible structures.
Matter
Mathematical Commentary on Diophantus
Matter in Neoplatonism is the lowest emanation — real but deficient, the substrate that receives form from above. Hypatia's mathematical focus treats material particulars as expressions of intelligible mathematical form.
Observer
Mathematical Commentary on Diophantus
The observer in Hypatia's framework is the rational soul — embodied but capable of ascending through mathematical contemplation to the intelligible realm.
Energy
Mathematical Commentary on Diophantus
The Neoplatonic emanation is the energetic structure — reality flows outward from the One and the soul's task is to reverse the flow through contemplation.
Information
Mathematical Commentary on Diophantus
Mathematical truths are eternal, substantival information — the structure of reality itself. Personal knowledge participates in this structure but the individual soul does not conserve its particular identity in the Neoplatonic return.
Internal Tensions
Where each work's argument pulls against itself.
The fundamental tension is the fragmentary nature of the evidence: we reconstruct Hypatia's thought from student letters, later lexica, and the textual tradition of the works she edited. Her philosophical position is inferred rather than directly attested. A second tension is between her Neoplatonic metaphysics and her rigorous mathematical-empirical practice — the same tension that runs through late-antique Alexandrian science generally.