The Collatz conjecture. A case study in mathematical problem solving

Logic and Logical Philosophy 14 (1):7-23 (2005)
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Abstract

In previous papers (see Van Bendegem [1993], [1996], [1998], [2000], [2004], [2005], and jointly with Van Kerkhove [2005]) we have proposed the idea that, if we look at what mathematicians do in their daily work, one will find that conceiving and writing down proofs does not fully capture their activity. In other words, it is of course true that mathematicians spend lots of time proving theorems, but at the same time they also spend lots of time preparing the ground, if you like, to construct a proof

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Jean Paul Van Bendegem
Vrije Universiteit Brussel

References found in this work

The Unreasonable Richness of Mathematics.Jean Paul Van Bendegem & Bart Van Kerkhove - 2004 - Journal of Cognition and Culture 4 (3-4):525-549.
Proofs and arguments: The special case of mathematics.Jean Paul Van Bendegem - 2005 - Poznan Studies in the Philosophy of the Sciences and the Humanities 84 (1):157-169.

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