You're right, it doesn't prove the non-existence of God. It just makes God unnecessary.
Look, I am writing to you from the Hancock Library, the mathematics and physics library of the Australian National University. And this library contains millions of equations. But in not one of all these millions of equations is God mentioned even once.
God is entirely unnecessary. God is now an optional extra. God is little more than a fashion accessory for the dollar and Islamic Jihad.
Occam's Razor cuts God out of the picture.
Well, so many mathematicians have sought to find God through mathematics. Hilbert is a good example. And they have been very reluctant, even today, to give up the search. Instead they have tried to destroy their mathematical colleagues, Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing, with ad hominem attacks, academic marginalization, and refusal to publish.
But Kurt Gödel's two incompleteness theorems are crystal clear and undeniable. And undeniably unsettling. Just as the death of God is unsettling, almost as unsettling as the death of mathematics.
This discovery is so unsettling the great mathematicians who made it went mad or were driven mad by their colleagues and committed suicide.
So ask yourself - why do you know more about Lindsay Lohan than Georg Cantor, Ludwig Boltzmann, Kurt Gödel or Alan Turing?
Victor, would you elaborate more on Gödel's incompleteness theorems a little more? you seem very well versed on the subject. I think while i might understand the gist of what his work concludes, I don't feel that I fully comprehend what it means..but I'm very interested.
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summary from wikipedia:
The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an "effective procedure" (essentially, a computer program) is capable of proving all facts about the natural numbers. For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem shows that if such a system is also capable of proving certain basic facts about the natural numbers, then one particular arithmetic truth the system cannot prove is the consistency of the system itself.
i think i can see the big picture, which (from what i can gather) is that a paradox exists here simply because mathematics is a concept created by man, and thus flawed like every other idea we come up with which, i think, totally makes sense. what i find myself uncertain of is the details of the italicized bits...
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Introverted Sensing (17.0)