Kripke, Quine and Steiner on Representing Natural Numbers in Set Theory

DOI10.1007/978-3-031-21655-8_9OpenAlexW4375825434MaRDI QIDQ6152196

Oliver R. Marshall

Publication date: 12 February 2024

Published in: Mathematical Knowledge, Objects and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-21655-8_9

zbMATH Keywords

numbersarithmeticfoundationsset theoryKripkenumerical notation\textit{de re}Axiom of infinityknowledge-\textit{wh}

Mathematics Subject Classification ID

Philosophy of mathematics (00A30)

Cites Work

• Saying it with numerals
• Cardinality, counting, and equinumerosity
• Rigor and Structure
• A basis for number theory in finite classes
• Developing arithmetic in set theory without infinity: some historical remarks
• The Psychology and Philosophy of Natural Numbers†
• On the Buck-Stopping Identification of Numbers†
• Computing with Numbers and Other Non-syntactic Things: De re Knowledge of Abstract Objects†
• The Calculi of Lambda Conversion. (AM-6)
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