"God, by definition, is that for which no greater can be conceived. God exists in the understanding. If God exists in the understanding, we could imagine Him to be greater by existing in reality. Therefore, God must exist." Goedel.
"The more I think about language, the more it amazes me that people ever understand each other at all." Goedel
Godel showed that "it is impossible to establish the internal logical consistency of a very large class of deductive systems--elementary arithmetic, for example--unless one adopts principles of reasoning so complex that their internal consistency is as open to doubt as that of the sytems themselves."(10) In short, we can have no certitude that our most cherished systems of math are free from internal contradiction.
Intuition is not proof; it is the opposite of proof. We do not analyze intuition to see a proof but by intuition we see something without a proof. Goedel
seems having started this forum and even this thread it has not been a waste of time, I have learned that I must read more from this guy.
"The more I think about language, the more it amazes me that people ever understand each other at all." Goedel
Godel showed that "it is impossible to establish the internal logical consistency of a very large class of deductive systems--elementary arithmetic, for example--unless one adopts principles of reasoning so complex that their internal consistency is as open to doubt as that of the sytems themselves."(10) In short, we can have no certitude that our most cherished systems of math are free from internal contradiction.
Intuition is not proof; it is the opposite of proof. We do not analyze intuition to see a proof but by intuition we see something without a proof. Goedel
seems having started this forum and even this thread it has not been a waste of time, I have learned that I must read more from this guy.
