What we talk about when we talk about numbers

DOI10.1016/j.apal.2018.08.009OpenAlexW2789094425WikidataQ129406828 ScholiaQ129406828MaRDI QIDQ1799042

Richard Pettigrew

Publication date: 18 October 2018

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://research-information.bris.ac.uk/ws/files/142020917/what_we_talk_about_3_anon.pdf

zbMATH Keywords

foundations of mathematicsphilosophy of mathematicsnominalismmathematical structuralismset-theoretic foundations

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Methodology of mathematics (00A35) Logic in the philosophy of science (03A10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Predicativity and structuralism in Dedekind's construction of the reals
• Structuralism as a philosophy of mathematical practice
• Dedekind's structuralism: An interpretation and partial defense
• Truth, objects, infinity. New perspectives on the philosophy of Paul Benacerraf
• A single axiom for set theory
• Logical structuralism and Benacerraf's problem
• The primes contain arbitrarily long arithmetic progressions
• Individuation of objects -- a problem for structuralism?
• Rigor and Structure
• Platonism and Aristotelianism in Mathematics
• Structuralism and Representation Theorems†
• Cohesive Toposes and Cantor's 'lauter Einsen'
• Structure in Mathematics and Logic: A Categorical Perspective
• On What There's Not
• INDISPENSABILITY ARGUMENTS AND INSTRUMENTAL NOMINALISM
• Category Theory as an Autonomous Foundation
• Structuralism, Invariance, and Univalence
• AN ELEMENTARY THEORY OF THE CATEGORY OF SETS
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
• General Theory of Natural Equivalences

This page was built for publication: What we talk about when we talk about numbers