Aleks Veselovsky's Reviews > Proofs and Refutations: The Logic of Mathematical Discovery

Proofs and Refutations by Imre Lakatos
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Jan 28, 2012

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Although I appreciates Lakatos' classroom discussion style as original I had a hard time keeping up with the development of the conversation and keeping the original question in mind. Nevertheless, I can name a few lessons learned. I think that the use of counterexamples is underutilized in the classroom and Lakatos shows how useful it can be. The idea that the definition creates the mathematical meaning is a another powerful one, and I think it would be interesting to do an activity where students could come up with initial definitions and then try to rewrite them to make them more broad or more narrow.
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