Here's Looking at Euclid: From Counting Ants to Games of

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Here's Looking at Euclid: From Counting Ants to Games of

Category : Number Theory

Format: Paperback

Language: English

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Now let's consider the possibility that both are true: $$(\exists x)\, 0\cdot x \ne 0 \tag{P1}$$ $$(\forall y,z)\, (-y)z = -(yz) \tag{P2}$$ Which clearly contradicts closure and existance of an inverse. His compliments were, however, delivered by a servant, with an offer to provide any thing in his power that could be useful to Captain Waverley on his journey, which he intimated would be continued that evening. We don't lose closure by removing zero, because the product of two nonzero rationals is never zero.

Pages: 336

Publisher: Free Press; Reprint edition (April 19, 2011)

ISBN: 1416588280

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