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DanielLC comments on What are your contrarian views? - Less Wrong Discussion
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In that case, it sounds like you're just not a math realist. There are plenty of people who believe that Peano arithmetic somehow exists on its own. Or possibly people who have a different definition of "exist" from me. It's hard to tell the difference. But I don't think disagreeing with that is all that unusual.
I'm not good enough at math to confidently answer that question. I'm good enough at math that I think that people want to debate whether or not something like infinite small numbers exist.
I don't care primarily about math. I see math as a tool. I'm happy that there are some people who build useful math and I'm happy to use it when convenient but it's not central for me.