… but since Qiaochu asked that we take ultrafinitism seriously, I’ll give a serious answer: something else will probably replace ultrafinitism as my preferred (maximum a posteriori) view of math and the world within 20 years or so. That is, I expect to determine that the question of whether ultrafinitism is true is not quite the right question to be asking, and have a better question by then, with a different best guess at the answer… just because similar changes of perspective have happened to me several times already in my life.
Until I’m destroyed, of course!
… but since Qiaochu asked that we take ultrafinitism seriously, I’ll give a serious answer: something else will probably replace ultrafinitism as my preferred (maximum a posteriori) view of math and the world within 20 years or so. That is, I expect to determine that the question of whether ultrafinitism is true is not quite the right question to be asking, and have a better question by then, with a different best guess at the answer… just because similar changes of perspective have happened to me several times already in my life.