pa.. said:
Plus... Alphanumeric brought up the analogy of using math that cannot create perfect circles and straight lines while living in a universe that does create such things... well Alpha, isn't that the precise converse of the world we live in now?
Yes, that was why I brought up the analogy.
pa.. said:
Just as people today accept quantum physics and string theory as fact. When really... it will just seem yet another peice of the puzzle 100 years from now. A puzzle that never ends.
Find me a scientist who says "Yes, Quantum Theory is fact." or "Yes, String Theory is fact".
pa.. said:
If scientists really believed nothing was absolute, they wouldn't be using math to explain observations.
They never believe their models are absolute. Mathematics, as I've already said, is the most convenient way to express relations. Within itself,
it is absolute, its a closed system. You cannot prove 2+2=10, because it doesn't. You could rebuild mathematics from the axioms up with a slight tweak to make 2+2=10, but I imagine you'd arrive at a nasty contradiction long before that.
You could do exactly the same scientific things we do now, but instead of maths, express the relations in logic, using sentences. It'd be just as valid, provided you accept the consistency of logic. If you doubt the validity of mathematics as a self consistent system, then you doubt logic too.
pa.. said:
So.. math is absolute when it's abstract. When it's used to model reality... If you agree or not (I'm still not sure, because you bring up other crap each post)... but it falls short every time. Especially in newer areas of science like quantum physics. The other points you are trying to argue with me are just sermons for the choir. (I can explain that metaphor to you if it sucks as much as my analogies.)
Mathematics is absolute, full stop. You are confusing mathematics and physics again. The mathematics used in physics is absolute. Its an abstraction where you have assigned meanings like "energy", "mass", "time" to certain mathematical entities, but the whole system is still perfectly self consistent. The error comes in from the physical interpretation of the mathematical symbols. In reality is that symbol really "mass" or should we have interpretated it as "energy", or "inertia" or the like?
Mathematics has been proved from the ground up to be self consistent so far. There are no "loop holes". If you accept logic, then you accept mathematics, since its development is based on logical continuation of initial arguements. Physics is about interpreting the universe. The error lies in interpreting observations into equations. The obervations are correct. The mathematics is self consistent, the problem is just getting them to link, which is what physics is.