PA theorem
Giovanni Lagnese
giov.lagn at gmail.com
Sat Jul 17 20:42:50 EDT 2021
It is true that, for any formula with a free variable P(x) in the language
of first order arithmetic, it is a PA theorem that:
If:
i) an x exists such that P(x)
ii) for each x such that P(x) there exists a y>x such that P(y)
Then for every z there exists a k such that P(k) and k>z?
Is this, for any formula with a free variable P(x), a theorem of PA?
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