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How to Think Like a Mathematician by Kevin Houston

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CHAPTER 33

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Generalization and specialization

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All generalizations are misleading.

Anon.

To some extent we have been generalizing and specializing throughout the book. Discussing it in detail has been delayed until now as one needs to see examples before really getting to grips with these ideas.

Generalization

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Weakening the hypotheses

Given a theorem a question you should ask is ‘Can I weaken the hypothesis and still get the same conclusion?’ The ...

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