Epictetus comments on Logical Pinpointing - Less Wrong

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

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Comment author: Epictetus 05 May 2015 11:40:14AM 1 point [-]

I refer you to the Lowenheim-Skolem Theorem:

Every (countable) first-order theory that has an infinite model, has a model of size k for every infinite cardinal k. You cannot use first-order logic to exclude non-standard numbers unless you want to abandon infinite models altogether.