
Originally Posted by
Rex Germanius
If you're tired, this is probably not the time to read this. However, here goes:
Assume A is logic.
According to logic, no system that is not proven valid is true. Therefore we must prove the validity of logic, or henceforth, A.
A, however, cannot be validated by A, as this is a tautology, which is not proof. Essentially, that's tantamount to claiming a religion is true because it claims it's true.
Therefore, we must assume that logic works. However, that is not allowed either. In fact, that is termed a paradox.
But step back and consider for a moment that reason, which is logic, was used in thinking this through. That is yet another violation of the rules which lead to another paradox. Yet, in order to make this conclusion, logic was used. Another paradox. I coined the phrase 'Propagating Paradoxes Problem', or 'PPP' for short, to describe this. I find this quite catchy, as I'm always fond of alliteration. Quote it at will.
However, there is a road out of this debacle: invent another system that validates logic. There is a problem, with this, though; it is that, according to logic, which should reign supreme, this system itself must be proven valid. That yields another system to be proven. Eventually, there are an infinite number of systems. This, I called the 'Infinite Systems Quandary'.
(I was tempted to quote another of my posts which explained this, but I was somewhat inebriated at the time, so I wasn't as clear.)
Thus, I concluded that A does not reign supreme, and can be proven valid with the invention of a system which serves such a purpose. But this has other implications. One of which is that that is nothing that stops anyone from inventing a system that proves logic invalid. Therefore, anyone can believe what they want, they just won't hold the reasonable highground of proof, and therefore, truth. Basically, all forms of thinking is based on assumptions, or as they are otherwise known, beliefs.
In essence, I am the demarcator of logic; reason does not limit me.