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Consider the following (very famous) quantified statement nZ,n3(x,y,zZ+xn+yn=zn) (a) Rewrite this statement in an equivalent form without the symbol. In other words, apply the formula
Consider the following (very famous) quantified statement nZ,n3(x,y,zZ+xn+yn=zn) (a) Rewrite this statement in an equivalent form without the symbol. In other words, apply the formula for negation of quantified statements. (b) The above statement is true when n is an integer 3, and x,y,z are required to be positive integers. Assume that n=3, and x,y,z>0 are allowed to belong to R. Is the above statement true then? If your answer is "yes", explain why. If your answer is "no", give an example showing that () does not hold
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