somervta comments on Causal Reference - Less Wrong

30 Post author: Eliezer_Yudkowsky 20 October 2012 10:12PM

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Comment author: Eliezer_Yudkowsky 20 October 2012 08:45:56AM 4 points [-]

Meditation:

If we can only meaningfully talk about parts of the universe that can be pinned down inside the causal graph, where do we find the fact that 2 + 2 = 4? Or did I just make a meaningless noise, there? Or if you claim that "2 + 2 = 4" isn't meaningful or true, then what alternate property does the sentence "2 + 2 = 4" have which makes it so much more useful than the sentence "2 + 2 = 3"?

Comment author: somervta 29 October 2012 04:29:28AM 0 points [-]

Unfortunately I accidentally looked at some of the other answers first, but I think my answer would have been this anyway:

The fact "2+2=4" is a fact about the products of certain systems of thought and computation. It is also a abstract description of a certain property of objects in reality (namely, that taking two sets of two objects and combining the sets results in a set of four objects), at least at the classical level.