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Feke, Jacqueline. Ptolemy’s Philosophy: Mathematics as a Way of Life

2020· article· en· W3092247175 on OpenAlexvenueno aff
Cristian Tolsa Domènich

Bibliographic record

VenueAestimatio Sources and Studies in the History of Science · 2020
Typearticle
Languageen
FieldArts and Humanities
TopicDiverse Historical and Scientific Studies
Canadian institutionsnot available
Fundersnot available
KeywordsPtolemy's table of chordsPhilosophyMathematicsEpistemologyGeometry

Abstract

fetched live from OpenAlex

Jacqueline Feke's book presents the results of her efforts to elucidate Claudius Ptolemy's philosophical system. That Ptolemy conceived his mathematical studies as forming part of a broader investigation is especially clear in the elaborate preface of the Almagest, in which he defends the thesis that mathematics is the only non-conjectural part of philosophy. For Ptolemy, only with mathematics can we advance in physics and theology, the two other branches of theoretical philosophy in the classification of knowledge that he proposes; and, furthermore, only mathematics helps us approach the divine. Thus, even if at the beginning of this preface he posits that ethics is independent of theoretical philosophy, Ptolemy ends up making it dependent upon it. As Feke notes [78], this is typical of several philosophical passages in Ptolemy's works, in which his writing takes the form of a serious, ongoing philosophical investigation, as in his discussion of the constitution of body and soul in On the Criterion and the Commanding Faculty. We would perhaps expect that short philosophical excursions by a mathematician adopt a more expositional, handbook tone; but they turn out to be original and valuable records that are worth studying for his thinking process, the vivid style of which (I dare propose) demonstrates Ptolemy's admiration for Plato's dialogues and of Aristotle's treatises. 1 Ptolemy's philosophy is mainly to be connected with Middle Platonist trends that appropriated key concepts from Aristotle's esoteric works, which were made available sometime during the first century bc, the time of Androni-1 The two authorities seem to be alluded to in the preface of the Almagest: this is obvious for Aristotle, who is cited for the classification of the theoretical parts of philosophy, but a typical form of Socratic criticism of other philosophers in Plato's dialogues is probably also in Ptolemy's mind at the very beginning, when he uses the expression 'the true philosophers' ( ). Cf., e.g., Resp. 473d .

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How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesScience and technology studies
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Qualitative · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.511
Threshold uncertainty score0.993

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.010
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.195
GPT teacher head0.273
Teacher spread0.078 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designQualitative
Domainnot available
GenreEmpirical

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".

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Citations0
Published2020
Admission routes1
Has abstractyes

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