Xavier Sabatier. Les formes du realisme mathematique. Paris: Vrin, 2009. ISBN 978-2-7116-2193-4. Pp. 304
Bibliographic record
Abstract
The book under review discusses the most standard forms of mathematical realism, a.k.a. ‘Platonism’, elaborated in the mainstream of twentieth-century philosophy of mathematics. Its purpose is therefore to introduce franco phone readers to an important set of ideas that have been, for the most part, cultivated by analytic philosophers. It originates from a doctoral dissertation at Université Paris 1. It comprises 287 pages of text divided into four main parts, completed by an eight-page bibliography. Beginning with Frege, Russell, and Gödel, Xavier Sabatier discusses the work of several contemporary Platonists, such as Quine, Resnik, Shapiro, and Maddy. Since the last no longer considers herself a Platonist in mathematics (p. 219), the author restricts his commentary to her Realism in Mathematics (published in 1990). The introductory first part ends with a discussion of the...
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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.004 | 0.004 |
| Science and technology studies | 0.002 | 0.002 |
| Scholarly communication | 0.005 | 0.010 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.003 | 0.006 |
| Insufficient payload (model declined to judge) | 0.213 | 0.146 |
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".