LOGICISM, INTERPRETABILITY, AND KNOWLEDGE OF ARITHMETIC

DOI10.1017/S1755020313000397zbMath1345.03013OpenAlexW2096837500MaRDI QIDQ2940868

Sean Walsh

Publication date: 21 January 2015

Published in: The Review of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1755020313000397

zbMATH Keywords

logicismarithmetical knowledge

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05)

Related Items (7)

RELATIVE CATEGORICITY AND ABSTRACTION PRINCIPLES ⋮ THE STRENGTH OF ABSTRACTION WITH PREDICATIVE COMPREHENSION ⋮ ON MORITA EQUIVALENCE AND INTERPRETABILITY ⋮ INTERPRETATION, LOGIC AND PHILOSOPHY: JEAN NICOD’S GEOMETRY IN THE SENSIBLE WORLD ⋮ Naturalizing indispensability: a rejoinder to `The varieties of indispensability arguments' ⋮ Empiricism, probability, and knowledge of arithmetic: a preliminary defense ⋮ THE PREHISTORY OF THE SUBSYSTEMS OF SECOND-ORDER ARITHMETIC

Cites Work

• Quasi finitely axiomatizable totally categorical theories
• Where do the natural numbers come from?
• Frege and the rigorization of analysis
• Finitude and Hume's principle
• On the untenability of Nelson's predicativism
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• Frege meets Dedekind: A neologicist treatment of real analysis
• Reals by Abstractiont
• Frege’s Conception of Logic
• HUME’S PRINCIPLE, BEGINNINGS
• Introduction to Boolean Algebras
• Describing Groups
• A note on interpretations of many-sorted theories
• Frege’S reduction
• Model Theory
• Mathematics as a Science of Patterns: Ontology and Reference
• Is Hume's principle analytic?
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