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Record W4366809638 · doi:10.1353/rss.2006.0000

Russell’s Notes on Frege’s Grundgesetze der Arithmetik, from §53

2006· article· de· W4366809638 on OpenAlexvenueno aff
Bernard Linsky

Bibliographic record

VenueRussell the Journal of Bertrand Russell Studies · 2006
Typearticle
Languagede
FieldArts and Humanities
TopicPhilosophy, Science, and History
Canadian institutionsnot available
Fundersnot available
KeywordsMathematical proofContradictionPhilosophyArithmetic functionReading (process)MathematicsClassicsEpistemologyHistoryLinguisticsDiscrete mathematics

Abstract

fetched live from OpenAlex

This paper completes a series of three devoted to the notes that Russell made on reading Gottlob Frege’s works beginning in the summer of 1902. Notes in the two previous papers were used in the preparation of Appendix a of The Principles of Mathematics, “The Logical and Arithmetical Doctrines of Frege”. The bulk of the notes published here are on the formal proofs in Grundgesetze der Arithmetik, which begin at §53 and continue through the rest of Vol. 1. There is no mention of these notes in published works of Russell. Additional notes were made in 1903 when Vol. 2 arrived. Brief notes found in Russell’s copy of Grundgesetze include some on Die Grundlagen der Arithmetik and preliminary notes on Grundgesetze. With material on the contradiction already published this completes the publication of Russell’s notes on Frege in the Russell Archives.

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 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)0.002
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Science and technology studies, Insufficient payload (model declined to judge)
Consensus categoriesScience and technology studies
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.650
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0010.000
Science and technology studies0.0030.003
Scholarly communication0.0010.001
Open science0.0010.000
Research integrity0.0000.002
Insufficient payload (model declined to judge)0.0010.001

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.

Opus teacher head0.040
GPT teacher head0.248
Teacher spread0.209 · 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; both teacher heads agree on what is shown here.

Study designNot applicable
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".

Quick stats

Citations0
Published2006
Admission routes1
Has abstractyes

Explore more

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