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Gödel, incompleteness, unprovability, truth
im sure all the logic junkies around here have already heard of Gödel, if you have not, be sure to wiki or google him, along with the liars paradox and be sure to check out the logical law of bivalence.
now
before Gödel's theorems were published, everbody believed that not only was everything proven by mathematics true, but also that within its conceptual universe everything true could be proven
nope.
he showed there are true statements in certain mathematical systems that can not be proven.
so ppl seem to take this to mean that you cant do everything with math, there are limits to logic, and that by rational and logical thought you can not penetrate to the ultimate truth.
so for those that insist that mathmatics and science and logic will eventually answer all questions and do away with religion and put an end to foolish ideas about God and the supernatural: im sorry, it just isnt so.
there are some ppl that take Gödel and Heisenberg and Einstein together as showing that we cant ever really be sure about anything. "you cant prove shit," the lower-functining philosopher says, "so why dont you stfu?"
but just becuz something cannot be proven, that doesnt make it untrue
i am absolutely not trying to make a case for anti-logic or some kind of subversive attack on rationality. what i want to show you is something else:
there are limits to formal logic so that you cant prove some things, but there is the possibility of finding truths beyond mathmatical formalisms that are absolutely undeniable. the nature of reality is so much bigger and wider than any symbolic abstraction, filled with timeless truths that defy classification and confound bivalence, and human minds can find these truths not by following the futile methodologies of formal systems, but by taking astonishing leaps, making unusual connections, revealing hidden meanings
therefore, the reason i cannot prove some true things is that your systems of symbolic thinking and communication are not sufficient to arrive at the proof. you must achieve a higher level of consciousness to meet me at the truth, rather than demand that i show you proof of color in a black and white format.
discuss
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