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How to Think Like a Mathematician by Kevin Houston

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CHAPTER 8

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Finer points concerning implications

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He’s suffering from Politician’s Logic. Something must be done, this is something, therefore we must do it.

Antony Jay and Jonathan Lynn, Power to the People, episode of Yes, Prime Minister

The English language is full of ambiguities. The humorous quote above exploits this and works because the word ‘something’ has two different meanings in the sentence. With mathematical language we aim to remove such ambiguities. In this chapter we will first look at a particular problem that can occur in everyday ...

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