Explanation and Realism: Interwoven Themes in the Philosophy of Mathematics

DOI10.1007/978-3-031-21655-8_4OpenAlexW4375825438MaRDI QIDQ6152208

Mark Colyvan, Michael D. Resnik

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_4

zbMATH Keywords

philosophy of mathematicsmathematical explanationindispensability argumentmathematical realismmark Steinerif-thenism

Mathematics Subject Classification ID

Philosophy of mathematics (00A30)

Cites Work

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• Optimisation and mathematical explanation: doing the Lévy walk
• Mathematical explanations of the rainbow
• The ins and outs of mathematical explanation
• Inference to the best explanation and mathematical realism
• Mathematical Explanation in Science
• The Explanatory Power of Phase Spaces
• Explanation, Independence and Realism in Mathematics
• Naturalism and Ontology
• On the Explanatory Role of Mathematics in Empirical Science
• Non-ontological Structuralism†
• Sets and Numbers
• Mathematics as a Science of Patterns: Ontology and Reference
• Mathematics as a Science of Patterns: Epistemology
• Mathematics, Explanation, and Scientific Knowledge
• The Varieties of Mathematical Explanation

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