Quote:
It was Kurt Godel who proved, in his famous incompleteness theorem, that
a)The Principia Mathematic was inherently flawed and more importantly
b)ANY mathematical system would also be similarly flawed (assuming it was "powerful" enough)
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The flaw is a very subtle one:
"There is a question you can ask the system cannot answer."
And it is more than just about Mathematical systems. It is any system where:
1> You can determine if you are saying nonsense easily. (basically, this means a decent logical system)
2> It contains enough power to talk about the counting numbers (1, 2, 3, etc)
Other brutally important philosphers off the top of my head:
Descarts
Pascal
Einstien