Stuart_Armstrong comments on Completeness, incompleteness, and what it all means: first versus second order logic - Less Wrong

45 Post author: Stuart_Armstrong 16 January 2012 05:38PM

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Comment author: Stuart_Armstrong 07 September 2015 03:18:45PM 0 points [-]

"Every set of numbers has a least element" - along with the other, non-inductive axioms of Peano arithmetic.

Comment author: gjm 09 September 2015 12:20:17PM 2 points [-]

You might want to insert "non-empty", though.

Comment author: Stuart_Armstrong 09 September 2015 12:43:09PM 1 point [-]

Done!

Comment author: capybaralet 22 September 2015 03:05:17PM 1 point [-]

You should say "replace THEM", in that case, to refer to the infinite set of axioms, as opposed to Peano Arithmetic.

Comment author: Stuart_Armstrong 23 September 2015 01:37:37PM 0 points [-]

Corrected