>Yet first order logic encompasses 99.9% of the mathematics anyone ever does, even professional mathematicians.
I'm way out of my depth here, but I'm curious about this statement. In first order logic you can't even assert that the natural numbers cannot be put into a one-to-one correspondence with the real numbers, which seems like a fairly basic mathematical fact.
I'm way out of my depth here, but I'm curious about this statement. In first order logic you can't even assert that the natural numbers cannot be put into a one-to-one correspondence with the real numbers, which seems like a fairly basic mathematical fact.