@catbeasy,
Quote:This is what I mean when I say its self defining.
I think you are not cleared about this yourself, no offense intended, as I am not sure what you mean by self-defining. Nothing can self-define. We humans define something as such which may or may not be correct.
Also, I think you a nit picking here a bit. A consequence of Godel's Incompleteness Theorem is that there is no true axiom so I use axiom and assumption interchangeably, which even my professor does in an advanced math class. A set of assumptions or most people call "axioms" are formed before you can carry out a deductive process (since you say I "need" to take logic class, let me show you what a logic class would look like):
For all elements X in set A, X is red
B is an element in set A
Therefore, B is red.
I'd love to use logical operators, but, I'm too lazy to turn on symbols. The conclusion, that is, the last statement is true based on the deductive statements based on first statement, which is an assumption or "axiom". In other words, it's taken to be true and it does NOT prove its own truthfulness.
But right now, the cutting Edge physics are mostly based on Math, and then subsequent experiment to find these "theoretical particles" Here's some fruit for your thought:
Nature tends to be symmetrical as much as it could be
Particles are part of nature
Therefore, particles must have their super-partners called "Sparticles"
Unfortunately, we are yet to discover them. If they don't exist, then to what extent are the exceptions? Therefore, based current understanding, we make assumptions then we draw conclusions, let it be statistical or any other methods. One day we realize that the initial assumption is wrong, then we correct it and then realize it has vast implications and we have to go back to the drawing board.
I don't doubt scientists understand these themselves. The public, however, takes our current understanding of science as absolute. That is very, very unfortunate, and is in my view, sheer arrogance. In fact, again, it's Maddie that brought up this topic of science vs religion. I personally don't even care much -- you believe what you want to believe. The purpose of this thread was to see whether there's any chance that Hawking could have been wrong. Not wrong about the Big Bang, but wrong about time travel. His entire logic is based on this:
Something cannot come out of nothing -- Axiom
To travel back in time, something must come out of nothing -- premise
Therefore, time travel is impossible -- conclusion
However, obviously in the big bang, something came out of nothing so WTF? So far none of the replies has proven anything otherwise.