On 11/5/12 11/5/12 - 7:56 PM,
bja...@teranews.com wrote:
> what happens when two equally internally consistent but
> opposite mathematical systems are proposed. Which one is "reality"? Answer
> NEITHER!
Of course! Mathematics is part of the MODEL, not of the world (aka reality).
When two EQUALLY VALID [*] models/theories/mathematical-systems are proposed in
the same domain, since they are equally valid [*], one cannot decide between
them, and must keep both until new experiment(s) are performed that can
distinguish between them.
[*] Valid means the model accurately predicts the results of
ALL known experiments within its domain.
For instance, if relativity had been proposed in 1720, there would have been no
experiments that could distinguish it from Newtonian mechanics for several
centuries.
Today, all of these theories are being studied, because there is no experiment
that can distinguish them:
* string theory
* loop quantum gravity
* general Relativity
> What has to happen is mathematics has to stop being worshiped as
> science. It may be knowledge, but it isn't physics. It's only a physics tool.
Sure. No physicist "worships" mathematics, but we certainly use it. Math QUITE
CLEARLY is not science -- it is completely abstract; it is the APPLICATION of
mathematics to models of the world that is important in physics.
> Phenomena is not tested as being consistent with mathematics, but rather simply
> as what is measured. Reality is the measurement. The actual facts. Calling 2+2 =
> a "fact" is ignorant. I've already pointed out that -A X -A = -B. Mathematics is
> ANYTHING I can imagine.
People often speak loosely. Yes, 2+2=4 is a mathematical theorem, not really a
fact, and certainly not a fact about the world. But nevertheless, people often
use the word "fact" in referring to such theorems. For your "-A X -A = -B", you
must mean something other than normal numbers for A and B, and you MUST specify
your context for such equations to make sense (in "2+2=4" the symbols are so
common that the context of natural numbers is implicit; not so for your symbols
A, B, X, etc.).
And mathematics is most definitely NOT "anything you can imagine". There are
rules that mathematics must follow. For instance, "invisible blue fairies" is
not mathematics, but can be imagined.
> Physics and other sciences are anything I can measure. Mathematics is only
> useful as a tidy way of expressing ideas in symbols with all the other rules of
> the chosen system IMPLIED. Hence the shorthand. But you and so many others like
> to turn that on it's head. There is the implicit assumption that the better and
> more abstruse mathematician a person is, that this is somehow proof that he/she
> is therefore a better scientist. We can probably blame the worship of Einstein
> for this error. The concept being that if someone's mathematics are so
> spectacular that nobody can understand him, that this is somehow "proof" that
> the person is "smart". It's just the opposite.
That is all nonsense. SCIENTISTS do not "worship" Einstein, thought it appears
that many people around here, including yourself, thing we do. He was a great
man who discovered/created several interesting ideas and theories. But he was no
God.
In modern physics, the mathematics has been getting more complicated, because
the phenomena being addressed have become more complicated and subtle.
> As Einstein pointed out:
> "If you can't explain it simply, you don't understand it well enough."
> Albert Einstein
He also said "Make things as simple as possible, BUT NO SIMPLER." [emphasis mine].
Complex phenomena cannot be described simply. Live with it. You have no choice.
And the world we inhabit is VERY complex.
Tom Roberts