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Politics : Should God be replaced? -- Ignore unavailable to you. Want to Upgrade?


To: Solon who wrote (1108)9/27/2000 11:43:39 PM
From: cosmicforce  Read Replies (2) | Respond to of 28931
 
Well, in a way yes! If I suspect that proposition A->B, might be false for some A, then I can't assume B to always follow from A. But some people think since A*A = A+A in the case of of 2 and 0, that it must be true for all A.

Or, A->B->C:
Aristotle was a man. My dog is named Aristotle. My dog is a man. QED

I love another example: "This statement is true". It is linguistically correct. Even correctly postulated logically . But totally unverifiable due to its self-reference. I can't remember who it was (in the 50's I think, worked with Turing) but there was a mathematical proof (very arcane) that no closed, self-referencing system can be proved to be correct from within that frame. One needs to be outside of the reference frame of "This statement is true" to assess its truth.