cyborg
deus ex machina
- Joined
- Aug 12, 2005
- Messages
- 4,981
The ultimate thing I'm after when I describe reality is making sure I have the proper relationships.
Yes, that is what one strives to get.
Nonetheless you can't really tell if you have it and you certainly don't get it by directly extracting it from reality. It still remains synthetic.
It leaves this abstract world untouched, unharmed, because the relationships in themselves are what math is about.
Yes, I know.
Okay, but isn't that a tautology?
Yes - but what else would you expect it to be consistent with? The series of squares isn't consistent with the series of cubes but I don't think you'd call these series inconsistent because of it.
Really all I was stating was that if you define something that's its definition and if you can't define something it might as well have an infinitely long definition of what it is because nothing smaller can describe it other than it being what it is.
Pi is what it is defined to be. No more, no less. We shouldn't expect it to change "just because". Either your algorithm is the same or it isn't.
How would QM fit into the "law of excluded middle"? I'm trying to figure out if by "law of the excluded middle" you really mean something I would call "false dichotomy".
If QM can be defined in a way not covered by the above, (in that either you can write down a finite definition or you can't) then it's a false dichotomy.
Since the dichotomy has complete coverage that would be hard to achieve.
It really severely looks like reality can be both describable and not, at the same time--that there are things that can be described, and things that cannot be.
That's the problem with the fact that language allows paradox - mathematics included.
Be more specific. Is it your position that reality is not mathematical? That, say, there are no relationships in reality?
Reality is specifically what it is. Naming it "mathematical" achieves no more understand then naming it "macaroon".
225 is related to the number of dots, or the cost of flubnars, or the momentum of the ball in kg m/s.
225 is not any of these things though is it? The meme does not have weight.