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Mathematical legacy

2019· book-chapter· en· W4231634480 on OpenAlexaboutno aff
Francine F. Abeles

Bibliographic record

VenueOxford University Press eBooks · 2019
Typebook-chapter
Languageen
FieldComputer Science
TopicHistory of Computing Technologies
Canadian institutionsnot available
Fundersnot available
KeywordsSubject (documents)SyllogismWork (physics)Quarter (Canadian coin)Section (typography)VotingMathematicsMathematical economicsCalculus (dental)Computer scienceEpistemologyHistoryPhilosophyEngineeringPolitical scienceLawPoliticsLibrary scienceArchaeology

Abstract

fetched live from OpenAlex

This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfaced in the 20th century. The chapter is divided into subject areas: geometry (including his alternative version of Euclid’s parallel postulate), trigonometry (for which he devised a new set of symbols), algebra (his work on determinants), logic (where the work of Bartley and others has led to a significant re-evaluation of Dodgson’s involvement), voting theory (on which he was in contact with a number of senior politicians), and probability, and concludes with a section on ciphers and cryptology. There has been a growing interest by scholars in Dodgson’s serious mathematical work since the third quarter of the 20th century, particularly as more of it has been published.

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 imitation

Not 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.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.032
Threshold uncertainty score0.105

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0020.001
Science and technology studies0.0030.005
Scholarly communication0.0030.006
Open science0.0010.002
Research integrity0.0010.004
Insufficient payload (model declined to judge)0.0320.015

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 head0.025
GPT teacher head0.196
Teacher spread0.171 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreOther

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

Citations3
Published2019
Admission routes1
Has abstractyes

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Same venueOxford University Press eBooksSame topicHistory of Computing TechnologiesFrench-language works237,207