All proven maths statements cant be truefron Godels theorem
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Voting Style:  Open  Point System:  7 Point  
Started:  5/20/2014  Category:  Science  
Updated:  7 years ago  Status:  Post Voting Period  
Viewed:  839 times  Debate No:  55126 
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australias leading erotic poet colin leslie dean notes
All proven maths statements cant be truefron Godels theorem (if there is only one definition of truth in mathematics) godel proved that there are true mathematic statements which cant be proven http://www.scribd.com... http://en.wikipedia.org... ?Any effectively generated theory cap ?Any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete. In particular, for any consistent, effectively generated formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true,[1] but not provable in the theory (Kleene 1967, p. 250) For each consistent formal theory T having the required small amount of number theory ? provabilitywithinthetheoryT is not the same as truth; the theory T is incomplete.? this means then Godels theorem means All provable mathematics statements cant be true including his own theorem 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 (if there is only one definition of truth in mathematics) that means then that all provable mathematic statements cant be true as a condition on being true is that it must be nonprovable corollary 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 nonprovable This place godels theorem in a paradox 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 nonprovable For something to be true, it must be provable, not unprovable. That is a highly flawed definition of truth. Btw, why are you so obsessed with Colin Dean, it get's so annoying. Stop talking about her on all of your debates. 

con says
"For something to be true, it must be provable, not unprovable" please address these two points 1)godel proved http://en.wikipedia.org... "arithmetical statement that is true,[1] but not provable" therefore your statement that "For something to be true, it must be provable" is wrong 2)godel proved "arithmetical statement that is true,[1] but not provable" so by a simple use of logic it entails that for a mathematics statement to be trues a condition on it being true must be that it cant be proven that entails (if there is only one definition of truth in mathematics) All provable mathematics statements cant be true including his own theorem By the way you said it, you made it seem like you think for something to be true it must be unprovable, something can be true without being provable, but being unprovable isn't a requirement to be true, like you entailed. 

con says
", something can be true without being provable," thus as dean says 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 (if there is only one definition of truth in mathematics) that means then that all provable mathematic statements cant be true as a condition on being true is that it must be nonprovable Something CAN be true without being provable, but it's not a requirement to be true. There are plenty of things that are true and are provable. 
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