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0 votes
1 answer
126 views

Is there a set-theoretic proof of Induction on the complexity of formulae? [closed]

The Induction on the complexity of formulae is a theorem on the syntax of PL that states the following: Suppose an arbitrary property holds for all atomic formulae in PL, and, if it holds for A and B, ...
Arthur M's user avatar
0 votes
1 answer
56 views

A small question concerning the correctness of induction

I think I've read enough about the Peano axioms and I also checked the similar posts here on StackExchange, but all I want to know is why induction can't be validated for all n by writing down the ...
Mohamad Hussein Naim's user avatar
0 votes
2 answers
820 views

Proof of "Induction proof method"

So I have been proving various logical statements using induction method (like structural induction , strong induction , weak induction etc ).I was wondering If there is a proof of this "...
Kripke Platek's user avatar