Eugine_Nier comments on Logical Pinpointing - Less Wrong

62 Post author: Eliezer_Yudkowsky 02 November 2012 03:33PM

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Comment author: Eugine_Nier 03 November 2012 11:03:28PM 1 point [-]

But the axiom schema of induction does not completely exclude

Eliezer isn't using an axiom schema, he's using an axiom of second order logic.

Comment author: Incorrect 03 November 2012 11:57:49PM *  1 point [-]

I don't see what the difference is... They look very similar to me.

At some point you have to translate it into a (possibly infinite) set of first-order axioms or you wont be able to perform first-order resolution anyway.

Comment author: Eugine_Nier 04 November 2012 03:18:08AM 0 points [-]

What's wrong with second order resolution?

Comment author: Incorrect 04 November 2012 04:56:55AM *  0 points [-]

There's no complete deductive system for second-order logic.

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