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3 questions
28
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13
answers
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Are there any good nonconstructive "existential metatheorems"?
Are there any good examples of theorems in reasonably expressive theories (like Peano arithmetic) for which it is substantially easier to prove (in a metatheory) that a proof exists than it is ...
20
votes
12
answers
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The best text to study both incompleteness theorems
Hi!
What text on both incompleteness theorems you would recommend for beginner?
Specifically, I'm looking for the text with the following properties:
1) The proofs should be finitistic, in Godel's ...
1
vote
2
answers
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An undergraduate's guide to the foundational theorems of logic [closed]
How would you explain one of these theorems in the foundations of mathematics to a fellow colleague outside the field of logic (or rather to an undergraduate mathematics student) handwaving over the ...