What would convince me that 2 + 2 = 3, in other words, is exactly the same kind of
evidence that currently convinces me that 2 + 2 = 4: The evidential crossfire of
physical observation, mental visualization, and social agreement.
What has this to do with Peano Arithmetic and a mathematical proof "PA proofs 2+2=4" which is merely a string of symbols? On the other hand, what has PA to do with reality of earplugs except the evidence that PA is a good model for them?
Please explain the miraculous correspondence to apples and earplugs, then.
There is no miraculous correspondence, there is in fact a lot of evidence that FALSIFIES 2 +... (read more)
What has this to do with Peano Arithmetic and a mathematical proof "PA proofs 2+2=4" which is merely a string of symbols? On the other hand, what has PA to do with reality of earplugs except the evidence that PA is a good model for them?
There is no miraculous correspondence, there is in fact a lot of evidence that FALSIFIES 2 +... (read more)