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Let W C Nx N be a Godel universal set. Show that there is a number x ? for which W_{x}={x} .

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Answer #1

If W ⊂ N X N and N X N equals to U (Godel universal set), then there must a case in which a number x = Wx because both W and x are part of that N X N set or say N X N Universal set.

Example - N X N = {1,2,3,4,5,6,7,8,9}, W = {3.4.5}, then if we choose number 5 as our x then it can also part of W.

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