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Record W2494849421 · doi:10.1017/cbo9780511497988.005

Kurt Gödel's <i>Ontologischer Beweis</i>

2003· book-chapter· de· W2494849421 on OpenAlex
Jordan Howard Sobel

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueCambridge University Press eBooks · 2003
Typebook-chapter
Languagede
FieldArts and Humanities
TopicPhilosophy, Science, and History
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsPhilosophy

Abstract

fetched live from OpenAlex

Texts and style. Photocopies of three handwritten pages titled “Güdel's Ontological Proof” (Appendix B) began to circulate in the early 1980s. The handwriting is Dana Scott's; the ideas are Kurt Güdel's. They agree with ideas conveyed in two pages of notes in Güdel's own hand dated 10 February (Appendix A). Scott's three pages, on which I concentrate here, contain a sketch of a theory of positive properties, individual essences, and necessary existence that culminates in a theorem that says that it is necessary that there is a being that has every positive property. The plan of the proof honors Leibniz. It goes through demonstrations of the possibility of such a being, and that such a being is either not possible or necessary. Its style is Spinozistic but formal: Axioms and definitions are set, and theorems are proved in a formal language that is free of amphibolies that bother classical proofs. Its logic is quantified modal, not simply quantificational as classical proofs, nor only sentential modal as Hartshorne's. As said, it does not merely postulate the possibility of its God-like being but demonstrates it with no suggestion that it is forthcoming given merely the conceivability of a being that has every positive property, and that this definition of God-likeness harbors no contradiction.

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.

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Science and technology studies
Consensus categoriesScience and technology studies
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.808
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0000.000
Science and technology studies0.0020.004
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0000.001

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 head0.041
GPT teacher head0.191
Teacher spread0.150 · 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