New directions for nominalist philosophers of mathematics

DOI10.1007/s11229-009-9489-9zbMath1216.03020OpenAlexW1972779367MaRDI QIDQ625702

Charles S. Chihara

Publication date: 25 February 2011

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-009-9489-9

zbMATH Keywords

nonstandard analysisgroup theorynominalismfictionalismindispensability argument

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Nonstandard models in mathematics (03H05) Logic in the philosophy of science (03A10)

Cites Work

• A nominalistic proof of the conservativeness of set theory
• Modern algebra and the rise of mathematical structures
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