The Parallel Structure of Mathematical Reasoning

DOI10.1007/978-94-007-6534-4_18zbMath1355.97003OpenAlexW190974940MaRDI QIDQ2950044

Andrew Aberdein

Publication date: 5 October 2015

Published in: The Argument of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-007-6534-4_18

zbMATH Keywords

mathematical reasoningmathematical practicemathematical proofmathematical argumentargumentation schememathematical dialogueToulmin layout

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Methodology of mathematics (00A35) Reasoning and proving in the mathematics classroom (97E50)

Cites Work

• A mathematician reflects on the useful and reliable illusion of reality in mathematics
• Aristotle's prohibition rule on kind-crossing and the definition of mathematics as a science of quantities
• The argument of mathematics
• Why do informal proofs conform to formal norms?
• Towards a theory of mathematical argument
• Checking Proofs
• Mathematics as the Art of Abstraction
• “Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics
• Carnap, Formalism, and Informal Rigour
• The Philosophical Implications of the Four-Color Problem
• An Editor Recalls Some Hopeless Papers
• The Derivation-Indicator View of Mathematical Practice
• Managing Informal Mathematical Knowledge: Techniques from Informal Logic
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