Quote:
Originally Posted by Elahrairah
You are saying "If" it is true, then it is false.....big "If" there.

No, it's a little "if". If it isn't true, then it's false. Either way it's a paradox.
Quote:
Originally Posted by Elahrairah
No, I am saying if Godel proved that A can sometimes (or always) not equal A, then he proved a mathematical/logical equation, therefore, instances where A do not equal A are no longer paradoxes, just wierdass situations...

Why is this "weirdass situation" not a paradox? Are you assuming that proof and paradox are mutually exclusive? If so, you're wrong. That's what Gödel proved. Every formal system of logic that can represent basic arithmetic contains a provably true statement that another statement is equivalent to its negation. I think you ought to read his paper or one of the many published explanations of it.
Quote:
Originally Posted by Elahrairah
As far as why they shouldn't exist I simply feel that we are creating them ourselves and our lack of understanding is what keeps us from explaining them. A drive to rid the universe of a paradox should be paramount to any underlying dream to learn more. Hell, at one time, the concept of long division was a paradox to me (how can a 3 go into a 9? damn does that mean a sandwich can go into a carrot?).

Gödel showed that they are a property of logic itself, not the result of a flaw in our logic or our understanding. You can't rid the universe of paradox and keep logic.
Why do you think paradoxes are keeping us from learning more?
Quote:
Originally Posted by Elahrairah
Trust me, I'm as confused about them as anyone, I don't claim to have the answer, nor do I claim I will ever come close to having the mindset to even come up with some possible answers, I just know in the back of head that there is an answer to all riddles somewhere....

Nope. Some problems aren't solvable. That's been proven, too.
Quote:
Originally Posted by Elahrairah
I am not trying to resist them in any true argumentative way, just trying to ask "why"?

You asked if they existed. I gave some examples and you rejected them. That comes across as resisting them.