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How to Think Like a Mathematician by Kevin Houston

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CHAPTER 21

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Some common mistakes

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To err is human. To really mess up takes a computer.

Anon.

The direct method of proof is probably the most basic and will be used in the other methods. Despite this there are a couple of pitfalls that are easy to fall into. Two of the most common are assuming what had to be proved and incorrect use of equivalence. We shall investigate these in this chapter. And since it would be nice to gather common mistakes together in one handy chapter rather than having them distributed throughout the book some other mistakes ...

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