Re: Request for Review of ZF Inconsistency Proof
- From: "Jesse F. Hughes" <jesse@xxxxxxxxxxxxx>
- Date: Tue, 05 Jun 2007 14:15:03 -0400
Scott <ToaTerra@xxxxxxxxx> writes:
Continuing:
Proposition 2.2: There exists an injective function f' from S to N.
Proof: Let f' be
f'(s) = Sum(x=0..infinity) of (2^x * s[x]).
By construction, every string s will generate some natural number n.
Suppose f'(s)=n and f'(s)=m where n != m. Then there exists some y
such that (2^y*s[y]) != (2^y*s[y]). Contradiction. Therefore, f' is an
injective function from S to N.
Comments/feedback?
Let s be the string 11111... . What is f'(s)?
--
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And the bees make honey.
The miller's man does all the work,
But the miller makes the money. --- Mother Goose
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