Prooemium — Executive Summary¶
Overview of the Five-Part Thomistic Codex on Mathematical Science
This Codex unites the foundational primary texts in which St. Thomas Aquinas establishes the ontology, psychology, logic, and heuristic discovery of geometry.
Five-Part Structural Overview¶
Part |
Primary Thomistic Work(s) |
Core Doctrinal Focus |
Key Geometric Paradigm |
|---|---|---|---|
Super Boetium De Trinitate (qq. 5–6) |
Twofold intellectual act; separatio vs. abstractio formae; materia intelligibilis; judgment terminating at imagination |
Continuous extension abstracted from sensible qualities; imaginative verification of figures |
|
In Posteriora Analytica (I.1–6, 17–19, 42; II.20) |
Supreme certitude; dignitates, suppositiones, petitiones; dust diagrams; unit vs. point; inductive intellectus |
Euclid’s Common Notions & Postulates; triangle in semicircle (I.3); point with positio |
|
Sentencia libri De anima (I.11; II.16; III.8, 12–13) |
Moving point in imagination; carnes et ossa vs. continuum; conversio ad phantasmata; hand as organum organorum |
Determinate drawn triangle manifesting universal angle properties |
|
In Physicam (II.3, III.5, IV.7, VI.1) & De Caelo (I.2, II.2) |
Abstrahentium non est mendacium; ten categories; immobile place; continuum non-atomism; three dimensions |
Infinite divisibility of line; rigid translation & congruence; oriented figures |
|
In Metaphysicam (V.9, VII.10–11, IX.3 & 10), ST I, De Potentia 7.2, De Veritate 10.6 |
Individual vs. common materia intelligibilis; discovery by division in act; agent intellect; ipsum esse |
Bronze vs. mathematical circles; Euclid I.32 & III.31 auxiliary constructions; diagonal incommensurability |