Like I said before. You need to return to the real world, to this reality, rather than delve into concepts which are pretty much irrelevant to your well being.
I find it funny when you try to talk about reality, Ted.
It's like Inuits talking about The Caribbean.
Like I said before, your ignorance of my character isn't an argument for anything but your own naivety.
Tell me this. Is mathematics real or simply a logical concept? How do you verify mathematics? Is it via real world observations or simply logical reasoning? If it's logical reasoning is that not based off the real world you observe?
Mathematics cannot be proven empirically. Mathematics is a priori. Although the real world can influence mathematics-Newton is a great example. However, no amount of empirical evidence can overturn a mathematical truth. How much mathematics can you understand? If I were to prove that 1+1=2 via the peano axioms, would you be able to comprehend it?
There is no "one logic". Logic comes in the forms of logics. Classical logic and paraconsistent logics are worlds apart. Logics are languages. All languages have limitations. Logic isn't a universal truth machine.
Mathematics is far more than just formal systems of logical inference, reverse mathematics shows that.