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Godel's Theorem

W

WoodenPupa

Member
Can anyone summarize Godel's incompleteness theorems in something that resembles layman's terms? I'm not formally educated in mathematical theory so I am somewhat limited as far as what I can comprehend when gaggles of math jargon are used. However I do enjoy the subject and I can figure out some of the stuff with enough effort. Godel's theorem however has really eluded me; so far I haven't encountered an explanation with enough meat---it's way too abstract.

It seems to indicate something along the lines of, for any given mathematical language, there will always be a statement within it that cannot be proven or disproven. That's about all I can decipher. Can anyone help with this?
 
I can't explain Godel's theorem but, I commend the book Godel, Bach, & Escher to your attention. I think it's as close to a non-technical explanation as you're going to get.
 
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