wedrifid comments on The role of mathematical truths - Less Wrong
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My reading of Silas's essay (and in particular looking at his diagrams) gave me impression that his '2' is closer to what you would describe as a 'property' than the category in which you put 'Silas'.
I was just starting from the observation that in our mathematical discourse we treat numbers like objects, not properties. "The number between 2 and 4", "there is a prime number greater than one million", "5 is odd" etc. all treat numbers as objects.
I would call those properties that had properties. But I'm a programmer, not a mathematician or philosopher (so don't know which limitations I'm supposed to have placed around my thinking!)
By the way, I think 'cool' is kinda 'lame' but 'awesomeness' is kinda 'cool'. Just sayin'.