[btilly]

You are quick to dismiss the argument in every way possible, including ad hominem attacks, but you failed to actually try to comprehend it. Just as you failed to try to verify your ad hominem attack about my mathematical ignorance. (Here is a hint. People whose expertise comes from quoting "hipster blogs and wikipedia" usually can't turn around and point to things like http://dspace.library.uvic.ca:8080/bitstream/handle/1828/277... as evidence that they actually know some math.)

But let's move on to the critical point. You said this:

The real numbers are not accessible to in a "reality" way. They lie fully in the realm of arcane mathematics. Like many other things do.

You are lecturing me on the nature of the nature of existence of things which cannot be described or verified by any process that can be carried out or imagined by any process that can exist in our universe. In a discussion about whether we should accept any existence for such things. And are failing to address the point that assuming axioms that lead to the conclusion of existence is an entirely unprovable assumption!

Do you see the obvious problem here?