(January 6, 2013 at 5:15 pm)Rhythm Wrote: You think I'm missing an argument, I think it's more likely that you don't have one. You know what leads me to think that this is the case? The way we've immediately gone from "what is 2" to "is there any proof of 2" to "is there any proof that 1+1=2", you can't focus, you can't make a point and have it stick...so we'll just meander like this, likely indefinitely. The answers to all of these questions has already been offered. It didn't leave you any room to bicker, so you'd rather avoid addressing it (or sticking on any one point).
If you'd like to make an argument, then make it plainly, lay it out, don't avoid making it-then complain that I'm missing it.
(if you're honestly having trouyble with figuring out what the proof that 1+1=2 is...the I'm afraid I can't help you..........)
ok i admit I was only throwing the first one out to tease around an idea a bit but lets focus on the 1+1=2 and your answer demonstrates my point as your answer is the response everyone would give. The fact everyone would give it means there is no need to prove it. We don't use logic or proof to accept it we accept it instinctively. So maths can then be built on what we all accept is true and doesn't need to wait to prove these "axioms". there is no debate about axioms
An axiom is a premise or starting point of reasoning. As classically conceived, an axiom is a premise so evident as to be accepted as true without controversy