Three formulations of the IVT, with proof of equivalence and a non-mathematical explanation of the theorem.
Three formulations of the IVT, with proof of equivalence and a non-mathematical explanation of the theorem.

Graeme Taylor
University of Bristol
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hi,
As I was searching for the motivation of baire’s category theorem, I just came to this site and saw your proof .It was really constuctive , but now also I should say frankly could’nt make out what motivated baire to give such a statement.(its geometry behind).
Also as I read the motivation given by you of intermediate value theorem it’s really nice.