Manfred comments on Rationality Quotes October 2011 - Less Wrong

3 Post author: MinibearRex 03 October 2011 06:41AM

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Comment author: Manfred 05 October 2011 11:14:28PM *  7 points [-]

It's not just about 8 examples - with any number of examples it would be perfectly valid to insert something like 6 = 1. And so there's an additional axiom in Peano arithmetic that has to explicitly rule it out (if you're talking about numbers that way). Not super-shocking.

Comment author: Alejandro1 06 October 2011 06:44:34PM 6 points [-]

My interpretation of the original quote was to take "see that 5 + 4 is not 6" as "prove that you cannot prove that 5 + 4 = 6", in other words, "prove that Peano's arithmetic is consistent". Maybe I was too influenced by this.

Comment author: Manfred 06 October 2011 08:29:11PM 2 points [-]

I think that's a way better interpretation :D