Arithmetic, enumerative induction and size bias

DOI10.1007/s11229-021-03198-1zbMath1529.00014OpenAlexW3167024786MaRDI QIDQ6147190

Alexander Paseau

Publication date: 1 February 2024

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-021-03198-1

zbMATH Keywords

arithmeticinductionFregemathematicsGoldbach's conjecturesize biasMillenumerative inductionmathematical justificationinductive scepticismnon-deductive methods in mathematics

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) First-order arithmetic and fragments (03F30) Connections of number theory and logic (11U99)

Cites Work

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• The Riemann hypothesis. A resource for the afficionado and virtuoso alike
• Empiricism, probability, and knowledge of arithmetic: a preliminary defense
• Odd perfect numbers are greater than $10^{1500}$
• Rigor and Structure
• Knowledge of Mathematics without Proof
• Non-deductive Logic in Mathematics
• The Consistency Problem for Set Theory: An Essay on the Cantorian Foundations of Mathematics (II)
• What is Cantor's Continuum Problem?

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