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Mathematical intuition vs. mathematical monsters

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Publication:1840991
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DOI10.1023/A:1005223128130zbMath1001.03012MaRDI QIDQ1840991

Solomon Feferman

Publication date: 20 May 2001

Published in: Synthese (Search for Journal in Brave)


zbMATH Keywords

Banach-Tarski paradoxmathematical intuitionconservative extension of Peano arithmeticdevelopment of mathematicsunexpected consequences of intuitive notions


Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Methodology of mathematics (00A35) Foundations of classical theories (including reverse mathematics) (03B30) Other constructive mathematics (03F65)


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The foundational problem of logic, And so on \dots : reasoning with infinite diagrams, Against naturalized cognitive propositions, Platitudes in mathematics, A Paradox Arising from the Elimination of a Paradox, Intuition and visualization in mathematical problem solving, Why do mathematicians need different ways of presenting mathematical objects? The case of Cayley graphs



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