MA121 Lecture 3: 备注 2019年1月29日

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27 Feb 2019
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1 which is odd nitti it 1 for somekaz. Let ntz then it n 1 is odd proof case 1 in is even then it and so ritntk4ktt. tl. Hence in is odd then rn 4141 2kt. X er is a real number then example if x. Thus x 1 present a counterexample of the claim. Therefore the claim is false art l. li example if a b 4 then either ab or an. Bp uqi at b and an b . There does no exist integer x suh hat. The counterexample for a statement p an ape ftp. ranexampefunpisaarmterenptpz n. pmg. Jupmfpmf by antradition example proposition there is no largestinteger if i assume that n was the largest tnt. 3 there is real result is f umber. 1 2 2 3 r t 32 t l. Existential quantnfw fwg. fr g fsme. fr at least one. 1 not empty z. it s t x er x_x. 64. 128 2 2 7one is enough e 1 enough.

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