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Post by Eugene 2.0 on Jan 11, 2022 9:31:30 GMT
- Math cannot be described using logic (Godel's proof)
- Logic can be described using math by calculating concepts (Frege's proof)
- We can get rid of concepts (Aristotle's proof)
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Post by xxxxxxxxx on Jan 23, 2022 23:21:06 GMT
[b A coincidence requires a rational argument to prove it is a coincidence. To say x is a coincidence requires arguing that there is no cause other then chance behind it....it requires an argument, thus logic, about chance. So, we're logical, but only under some specific conditions. I mean, I can be rational at one point not being rational about the others. Let's say I use both axioms and deduce a theorem from them, however what are those axioms? Are they necessary rational? I don't think so. Axioms - as you previously said somewhere in the earlier posts - are taken by chance, rather by some strictly rational point. Axioms derive their value by there relationship to other axioms, this is logic. An axiom on its own terms is empty.
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