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Ep: 88 Critically Creative (Critical and Creative Thinking 2.0).

ToKCast

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The Role of Criticism in Mathematics

In mathematics, we less often speak of experiments as we do of proofs. Criticism in mathematics amount to computations that show some theorem or some guess is wrong. Identifying an error is a kind of criticism, and that allows progress too. We are humans, not machines, we think we do not simply follow an automatic algorithm like a computer. How to come up with good criticisms? Well, we must create them. Creativity is needed. There's no deep dichotomy here. It's all creativity of a kind.

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