improper extrapolation
its like trying to draw a line on a computer screen, its never smooth no matter how small it gets, it will always be jagged.
keyword SMOOTH
Is this person for real?
[quote]
As is typical for a paradox, the above rationalization suggests a result that is not only counterintuitive but also wrong. [/quote]
Does this person even understand the purposes for axioms and paradoxes at all? By saying his explanation for a paradox the answer he has is not only wrong, but counter productive. He's killing the egg and expecting the chicken to still come even though the egg is already hatched and provided him with a chicken. WTF?
So what he's, in a sense, saying is that Pythagoras, whose Pythagorean theorem was constructed oh so many years ago, should not have constructed such a "counter-intuitive" theorem in the first place, though it's fun to discover the mistakes about it. Is this about right? So, he's angry at Mr Pythagoras for making him do some work like making a new breakthrough about the theorem and greater understandings. This guy will never be as great as Pythagoras if he keeps up that attitude. No one would put up with his disrepsectful expressions of self-defeatism. Do you think Pythagoras got angry about people coming up with ridiculous conclusions and stating them as fact? No, he accepted them as the other person's truth, but questioned them, because he had yet to experience similar findings and later found that they were simply mistaken about the details as often comes with discovery. The details often obscure the true picture through their overwhelming effects as often it does in everything. The question is, how to define each detail and keep them seperate while still observing the entire experiment at once?