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Record W2103168978

Logic, modality, and philosophy of mathematics

2000· article· en· W2103168978 on OpenAlexaboutno aff
Introductions by Dagfill Føllesdal

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicLogic, Reasoning, and Knowledge
Canadian institutionsnot available
Fundersnot available
KeywordsQuinePhilosophyEpistemologyPhilosophical logicPhilosophy of mathematicsMathematical logicAnalytic philosophyArgument (complex analysis)Foundations of mathematicsMetaphysicsSurpriseMathematicsContemporary philosophySociologyAlgorithm
DOInot available

Abstract

fetched live from OpenAlex

MODALITY Smullyan, A F, Modality and Description, Journal of Symbolic Logic 13 [1948] Myhill, John, Problems Arising in the Formalization of Intentional Logic, Logique et Analyse I [1958] Wilson, N L, Modality and Identity, Journal of Philosophy, 62 [1965] Sleigh, Robert,Jr, A Note on an Argument of Quine's, Philosophical Studies 17 [1966] Burge, Tyler, Kaplan, Quine and suspended Belief, Philosophical Studies 31 [1977] Church, Alonzo, A Remark concerning Quine's Paradox and Modality, In Nathan Salmon and Scott Soames, eds., Propositions and Attitudes [Oxford: Oxford University Press: 1988] SINGULAR TERMS Wilson, Neil L, Property Designation and Description, Philosophical Review 64 [1955] Strawson, P F, Singular Terms and Predication, Journal of Philosophy 58 [1961] Loar, Brian, Reference and Propositional Attitudes, Philosophical Review 81 [1972] Linsky, Leonard, Quine on Quantifying in, Journal of Philosophy 66 [1969] Hornsby, Jennifer, Singular Terms in Contexts of Propositional Attitude, Mind 86 [1977] IDENTITY Evans, Gareth, Identity and predication, Journal of Philosophy 72 [1975] PHILOSOPHY OF MATHEMATICS Parsons, Charles, Ontology and Mathematics, Philosophical Review 80 [1971] LOGIC Leblanc, Hughes, Commentary on W V Quine's Free Logic, description and Virtual Clases, Dialogue: Canadian Philosophical Review 36 [1977] SURPRISE EXAM Ayer, A J, On A Supposed Antinomy, Mind 82 [1973] Bennett, Johnathan, Review of Several Papers on the Surprise Exam, Journal of Symbolic Logic 30 [1965] NEW FOUNDATION (1937) Boffa, M, Sets Equipollent to their power set in NF, Journal of Symbolic Logic 40 [1975] Boffa, M, The Consistency Problem for NF, Journal of Symbolic Logic 42 [1977] Boffa, M, ZFJ and the Consistency Problem for NF, Jahrbuch der Kurt Goedel Gesselschaft [1988] Crabbe, M, On the Consistency of an Imprecicative Subsytem of Quine's NF, Journal of Symbolic Logic 47 [1982] Crabbe, M, The Hauptsatz for Stratified Comprehension: A Semantic Proof, Mathematical Logic Quarterly 40 [1994] Crabbe, M, On NFU, Notre Dame Journal of Formal Logic 33 [1992] Dzierzgowski, Daniel, Models of Intuitionistic TT and NF, Journal of Symbolic Logic 60 [1995] Forster, Thomas, Quine's NF 60 years on, American Mathematical Monthly 104 [November 1997] Forster, Thomas, Term Models for weak Set Theories with a Universal Set, Journal of Symbolic Logic 57 [1987] Forster, Thomas and Kaye, End extensions preserving power set, Journal of Symbolic Logic 56 [1991] Grishin, V N, Consistency of a Fragment of Quine's NF System

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation 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: Empirical · Consensus signal: none
Teacher disagreement score0.887
Threshold uncertainty score0.414

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
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 head0.027
GPT teacher head0.248
Teacher spread0.221 · 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.

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

Citations1
Published2000
Admission routes1
Has abstractyes

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