Infinity, choice, and Hume's principle

DOI10.1007/S10992-024-09771-6MaRDI QIDQ6623819

Stephen Mackereth

Publication date: 24 October 2024

Published in: Journal of Philosophical Logic (Search for Journal in Brave)

zbMATH Keywords

Hume's principlesecond-order logicaxiom of choiceinfinitypermutation modelsabstractionismneo-fregeanism

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

Cites Work

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• Sur les ensembles finis.
• Zu \textit{H. Webers} elementarer Mengenlehre.
• Grundgesetze der Arithmetik. Begriffsschriftlich abgeleitet. I. Band.
• What are the meaning and the purpose of numbers?
• The independence of various definitions of finiteness
• Definitions of finiteness based on order properties
• The Axiom of Choice in Second‐Order Predicate Logic
• Finiteness and choice
• The Art of Mathematics – Take Two
• The axiom of choice
• A NOTE ON CHOICE PRINCIPLES IN SECOND-ORDER LOGIC
• TWO-SORTED FREGE ARITHMETIC IS NOT CONSERVATIVE

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