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Walpurgis
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Re:Unreason: a meme you need
« Reply #30 on: 2002-06-24 04:22:25 »
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[Lucifer7] No, I don't understand how a theory could be useful without corresponding to reality.

[Walpurgis] I'm not talking about theory generally, but mathematics and theories based on maths (like physics).

Perhaps Heinrich Hertz put is more succinctly: "One cannot escape the feeling that these mathematical forumlae have an independant existence and intelligence of their own, that they are wiser than we are, wiser than theri discoverers, that we get more out of them than was originall put into them."

This feeling is expressed by einstein when he said "I hold it true that pure thought can grasp reality, as the ancients dreamed." (see On the Method of Theoretical Physics  in "Ideas and Opinions")

At the centre is the question: what is the relationship between mathematical forms in the human mind called "physical theory" and physical reality?

Quantum theory clearly indicates limits to math. theory. There is inherent uncertainty in physics, so there is no ontological bridge between math theory and physical reality.

Bohr was the first to realise that this means we must profoundly revise the epistemological foundations of modern science.
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Re:Unreason: a meme you need
« Reply #31 on: 2002-06-24 09:53:29 »
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Actually, as Hermit has frequently observed in the past (and which I am repeating only on the grounds of his current absence), modern science, following Popper's rejection of both Plato's forms and Aristotle's subjectivity, recognizes that the universe exists as a logical necessity. By and large, you are correct to say that science could be said to speak to a set that contains all things (real or imaginary) which would include the 'real' universe. The existence of this set does not speak to the reality of that universe.

Instead, the reality of that universe  is argued from a more pragmatic basis - the paradox which exists when it is deleted and the violence which the concept of an imaginary Universe would do to falsifiable probability as it leads directly to the fallacy of "proving the non-existence of that for which no evidence of any kind exists." Proof, logic, reason, thinking, knowledge pertain to and deal only with that which exists. They cannot be applied to that which does not exist. Nothing can be relevant or applicable to the non-existent. The non-existent is nothing. A
positive statement, based on facts that have been erroneously interpreted,
can be refuted - by means of exposing the errors in the interpretation of the facts. Such refutation is the disproving of a positive, not the proving of a negative.... Rational demonstration is necessary to support even the claim that a thing is possible. It is a breach of logic to assert that that which has not been proven to be impossible is, therefore, possible. An absence does not constitute proof of anything. Nothing can be derived from nothing.
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Re:Unreason: a meme you need
« Reply #32 on: 2002-06-24 13:07:50 »
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[Lucifer7] No, I don't understand how a theory could be useful without corresponding to reality.

[Walpurgis8] I'm not talking about theory generally, but mathematics and theories based on maths (like physics).

[Lucifer9] The same goes for math and physics. I don't understand how they could be useful without corresponding to reality. I concede that no one knows why there is a relationship, indeed that may be one of the great mysteries. But I suggest there is no doubt that an isomorphism exists.
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Re:Unreason: a meme you need
« Reply #33 on: 2002-06-24 21:41:43 »
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[Lucifer 7] No, I don't understand how a theory could be useful without corresponding to reality.

[Walpurgis 8] I'm not talking about theory generally, but mathematics and theories based on maths (like physics).

[Lucifer 9] The same goes for math and physics. I don't understand how they could be useful without corresponding to reality. I concede that no one knows why there is a relationship, indeed that may be one of the great mysteries. But I suggest there is no doubt that an isomorphism exists.

[rhinoceros 10] Just remember the history of Euclid's fifth axiom, the axiom of the parallel line. Euclid himself seemed to believe that this axiom was not as clearly intuitive as the other ones, and developed the first part of his geometry without using it. Generations of mathematicians spent their whole lives trying to prove that this axiom could be derived from the first four axioms and failed. In this effort, Bolyai, Lobachevsky and Gauss tried to develop geometries with a contradictory fifth axiom, hoping that these geometries would show inconsistencies. To their dismay, the elliptic and hyperbolic geometries they developed proved to be fully logically consistent.

At the time, these alternative logically consistent geometries were useless in modelling reality. Eventually, they found their place in the space-time of general relativity, while Euclidian geometry is now considered a false but sufficient model for our everyday needs.

But this is not the point. The point is that Euclidian geometry as a mathematical theory is still fully logically consistent, as good as any other geometry. The problem emerges only when we try to use it as a model for the real world. I would say that mathematics do not have to correspond to reality, but a mathematical model used in physics *does* have to correspond to reality, or else it would be meaningless -- just bad modelling.

(Allow me a pedantic note, although besides the point: The term isomorphism, at least in mathematics, is normally used in the context of two different mathematical constructs).



[Walpurgis 8]
At the centre is the question: what is the relationship between mathematical forms in the human mind called "physical theory" and physical reality?

[rhinoceros 10]
According to what I said above, I think "mathematical forms" are nothing more than logical constructs of our own, initially inspired by our experience but not restricted by it. What we call "physical theory" is about developing and applying such logical constructs in an effort to quantify reality. "Physical reality" just is.


[Walpurgis 8]
Quantum theory clearly indicates limits to math. theory. There is inherent uncertainty in physics, so there is no ontological bridge between math theory and physical reality.

[rhinoceros 10]
We should not forget that uncertainty principle is a mathematical quantity. Even in quantum physics, maths have gone much further than what Bohr used to consider real, and continue to do so.

What was really falsified was only the deterministic model of the quantum world and the universal status of the classical description using the "position and momentum" pair or the "energy and time" pair. This fact never stopped the efforts for mathematical modelling of quantum reality. Even Bohm's mathematical formalism, which is supposed to suggest a "realistic" interpretation, is mathematically equivalent with the mainstream mathematical formalisms and gives the same results.
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Re:Unreason: a meme you need
« Reply #34 on: 2002-06-27 17:57:47 »
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Re:Unreason: a meme you need
« Reply #35 on: 2002-07-01 12:24:55 »
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[rhinoceros] But this is not the point. The point is that Euclidian geometry as a mathematical theory is still fully logically consistent, as good as any other geometry. The problem emerges only when we try to use it as a model for the real world.

[Lucifer] Euclidian geometry is a very good model for 3-dimensional space.

[rhinoceros] I would say that mathematics do not have to correspond to reality, but a mathematical model used in physics *does* have to correspond to reality, or else it would be meaningless -- just bad modelling.

[Lucifer] I agree on both points. I suspect Walpurgis would agree to the first point, but not the second.
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Re:Unreason: a meme you need
« Reply #36 on: 2002-12-29 15:17:08 »
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Re:Unreason: a meme you need
« Reply #37 on: 2003-01-04 22:55:44 »
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Quote from: garyrob on 2002-12-29 15:17:08   
Now, of course that reasoning is arguably fallacious. But once you put "reason" on the throne, how do you know which reasoning is correct and which is faulty?


As you have already implied, I don't consider examples of fallacious reasoning any sort of argument against reasoning in general. Even if those canonical bad guys, the nazis, were correctly using valid inference rules, I think it is pretty clear that they were operating from false premises.

The only way to know which reasoning is correct and which is faulty is valid (non-fallacious) reasoning. That is not quite true, I suppose it is possible to know the difference on an intuitive level. But to communicate the difference, and more importantly, convince other reasonable people of the difference, valid reasoning is necessary.


« Last Edit: 2003-01-04 23:04:49 by David Lucifer » Report to moderator   Logged
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Re:Unreason: a meme you need
« Reply #38 on: 2003-01-05 10:24:40 »
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Re:Unreason: a meme you need
« Reply #39 on: 2003-01-05 13:35:02 »
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Gary,

Interesting argument! If you're interested in the Golden Rule, I believe I have made a cogent argument in favour of it here:

http://noumenal.net/exiles/primeaxiom.html

Any comments?

Walpurgis
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Re:Unreason: a meme you need
« Reply #40 on: 2003-01-05 13:51:55 »
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Re:Unreason: a meme you need
« Reply #41 on: 2003-01-05 14:05:31 »
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You are right, we are in a global memetic war and at stake is nothing less than the future of humanity and the world. What tools (weapons) should we use to win the hearts and minds of the populace? I believe the decision is a moral choice. Perhaps two choices. First you have to decide what kinds of arguments will change your own mind. Then decide what kinds of arguments you will use on other minds.

Is it OK to believe what we want to believe or does the truth matter? I have argued that the truth does matter, though others on this forum have argued that individual happiness is more important. If the truth does matter, how do we know what is true and what is not? As you have pointed out, it is not simple. Intelligent, educated people have never reached a concensus on anything important. Does that mean there is no truth? Does that mean even if there is we will never know if we find it? (More on this later)

Even if we personally decide that we will not be swayed by appeals to authority, threat, pity, force, popularity, strawmen, non-sequiturs, or the hundreds of other kinds of fallacious reasoning, is it OK to use these methods on others. I agree with you that they are more effective of most people. Does the end justify the means?

Personally I feel a responsibility to educate people rather than taking advantage of their ignorance. I called this religion Virus because it is designed to infect their minds with new ideas. Moreover, it will infect them with ideas that are beneficial to the individual, that will protect them against fraud and manipulation. It will infect them with ideas that allows them to sort out the good from the bad, the true from the false, the beneficial from the harmful. It will infect them ideas that allow them to understand the world, find their place in it, make a positive difference, and give meaning to their life.

Perhaps, as you suggest, using reason as our sole tool of persuasion will handicap Virus memetically in competing with other new and old religions. Actually I don't doubt that it true, it will make our job harder. But to do otherwise would be the height of hypocrisy. To retain our moral integrity we must practice what we preach or the whole project is pointless.
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Re:Unreason: a meme you need
« Reply #42 on: 2003-01-05 14:33:55 »
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Re:Unreason: a meme you need
« Reply #43 on: 2003-01-05 14:51:10 »
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Re:Unreason: a meme you need
« Reply #44 on: 2003-01-05 15:25:09 »
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