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I know there's something called "ultrafinitism" which is a very radical form of constructivism that I've heard said means people don't believe that really large integers actually exist. Could someone make this a little bit more precise? Are there good reasons for taking this point of view? Can you actually get math done from that perspective?

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    How is this question not community wiki?2010-10-03
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    It is fun to also consider this question: What is "ZFC" and why do people beleive in it?2010-10-03
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    @Asaf: It seems OK - it's asking for an explanation of an established position in the philosophy of maths. The 2nd subquestion, "are there good reasons", is maybe a bit open-ended, but the question has hardly generated a deluge of opinionated posts.2010-10-04
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    Good question .2010-10-27
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    Hm... does induction only work up to the amount of things I can prove before the death of the universe? =P2017-12-28

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