Carlo Cellucci and Donald Gillies, eds. Mathematical Reasoning and Heuristics. London: King's College Publications, 2005. ISBN 1-904987-07-9. Pp. xxx + 212 [Book Review]

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Philosophia Mathematica 13 (3):345-345 (2005)
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Abstract

AUTHORS AND TITLESEmily Grosholz, Constructive ambiguity in mathematical reasoning, pp. 1–23.Ladislav Kvasz, Similarities and differences between the development of geometry and of algebra, pp. 25–47.Yehuda Rav, Reflections on the proliferous growth of mathematical concepts and tools: Some case histories from mathematicians' workshops, pp. 49–69.David Corfield, Categorification as a heuristic device, pp. 71–86.Donald Gillies, Heuristics and mathematical discovery: The case of Bayesian networks, pp. 87–118.Gianluigi Oliveri, Do we really need axioms in mathematics?, pp. 119–135.Carlo Cellucci, Mathematical discourse vs. mathematical intuition, pp. 137–165.Mary Leng, Mathematical explanation, pp. 167–189.Cesare Cozzo, Can a proof compel us?, pp. 191–212.

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