shminux comments on The Limits of Intelligence and Me: Domain Expertise - Less Wrong

28 Post author: ChrisHallquist 07 December 2013 08:23AM

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Comment author: shminux 10 December 2013 06:31:05PM 1 point [-]

It's possible that the only numbers that exist are the complex numbers

All numbers are abstractions and are therefore in the map. Positive integers have no more claim for existence than quaternions or what have you.

Comment author: Eugine_Nier 11 December 2013 04:44:49AM 0 points [-]

Disagree. Mathematical objects exist in the same way physical objects do at the very least, i.e., the standard anti-solipsist arguments for the existence of the physical world apply equally well to mathematical objects.

Comment author: shminux 11 December 2013 05:11:24AM 0 points [-]

I sort of agree, but probably not in the way you mean. In the above I followed the map/territory meme, where you can find sheep in the territory, but the numbers in the map. However, I am interested if you outline or link to the arguments you mention.