Bibliographic record
Abstract
Abstract In ‘On the Guiding Thread for the Discovery of all Pure Concepts of the Understanding’ Kant attempts to derive the complete table of categories from the table of the logical functions of judging. However, he gives little explicit indication of how this is to be done for each function and its corresponding category. This chapter attempts to reconstruct Kant’s derivation of the categories. The key idea in my reconstruction is that we map hierarchies of concepts to manifolds of intuition in such a way that individual logical objects (instances of concepts) get mapped to objects of intuition and (some) concepts get mapped to ‘fusions’ of such objects. It then argues that this mapping induces a mapping from logical functions to structure in objects, from which we can abstract categories as general concepts of objects as standing in such structures. Due to limitations of space, the chapter presents only the mapping from the logical functions of Quantity (universal, particular, singular) to the corresponding categories of Quantity (totality, plurality, unity). It concludes by indicating, briefly, how to extend this derivation to the logical functions and categories of Quality, Relation, and Modality.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.003 | 0.024 |
| Scholarly communication | 0.004 | 0.005 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.002 | 0.005 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".