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Topic: All provable mathematics statements cant be true
Replies: 0

 byron Posts: 891 Registered: 3/3/09
All provable mathematics statements cant be true
Posted: Apr 12, 2013 3:00 AM

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http://www.scribd.com/doc/32970323/Godels-incompleteness-theorem-invalid-illegitimate

godel proved that there are true mathematic statements which cant be proven

so that entails then that what ever a true mathematics statement is a condition on it being true must be that it cant be proven

that means then
that all provable mathematic statements cant be true
as a condition on being true is that it must be non-provable

Thus godel giving a proof of his theorem means his theorem cant be true as a condition on being true is that it must be non-provable

This place godels theorem in a paradox
If his theorem is true then his theorem must be not true
Or
He has proved his theorem but his theorem means then his theorem cant be true as a condition on being true is that it must be non-provable
Or
Godels theorem is considered true but if it is true then it cant be true as he has proved his theorem but his theorem means then his theorem cant be true as a condition on being true is that it must be