That all math is “real” in some sense you observe directly any time you do any. The insight is not that math is MORE real than previously thought, but just that there isn’t some additional find of realness. Sort of, this is an oversimplification.
Combine this with the simulation hypothesis; a universe can only simulate less computationally expensive universes. (Of course this is handwavy and barely an argument, but it’s possible something stronger could be constructed along these lines. I do think that much more work needs to be done here.)
That all math is “real” in some sense you observe directly any time you do any. The insight is not that math is MORE real than previously thought, but just that there isn’t some additional find of realness. Sort of, this is an oversimplification.
Also check out: http://lesswrong.com/lw/1zt/the_mathematical_universe_the_map_that_is_the/
That post is a confused jumble of multiple misinterpretations of the word “exist”.
If all levels of the Turing hierarchy are about as real, it’s extremely unlikely our universe is at level zero. Yet Church-Turing looks pretty solid.
Combine this with the simulation hypothesis; a universe can only simulate less computationally expensive universes. (Of course this is handwavy and barely an argument, but it’s possible something stronger could be constructed along these lines. I do think that much more work needs to be done here.)