Some criteria for acceptable abstraction

DOI10.1215/00294527-1435492zbMath1252.03015OpenAlexW2024349210MaRDI QIDQ645749

Øystein Linnebo

Publication date: 10 November 2011

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00294527-1435492

zbMATH Keywords

stabilityconservativenessunboundednessabstraction principlesbad company problemirenicity

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Models of other mathematical theories (03C65)

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FOR BETTER AND FOR WORSE. ABSTRACTIONISM, GOOD COMPANY, AND PLURALISM ⋮ THE STRENGTH OF ABSTRACTION WITH PREDICATIVE COMPREHENSION ⋮ Identity and the cognitive value of logical equations in Frege's foundational project ⋮ TWO-SORTED FREGE ARITHMETIC IS NOT CONSERVATIVE ⋮ Cardinality and acceptable abstraction ⋮ Is Hume’s Principle analytic? ⋮ DEDUCTIVE CARDINALITY RESULTS AND NUISANCE-LIKE PRINCIPLES

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