Seasons

This is a forum or general chit-chat, small talk, a "hey, how ya doing?" and such. Or hell, get crazy deep on something. Whatever you like.

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19 years ago #2754
Cont. from Newcomers
You've just illustrated the difference between abstract, rational proof and scientific proof. Scientific proof says "show me the evidence." Rational proof says "starting with assumptions X any rational person comes to conclusion Y." The problem comes from the unstated presuppositions Z. I don't find rationalizing god into or out of existence useful or interesting because people's presuppositions will nearly always lead them to the conclusion they want to believe. Scientific evidence is neutral (interpretation of said evidence may or may not be).

If you like these sorts of rationalizations, try this site:
http://pixnaps.blogspot.com/2005/09/anselm-and-perfect-reductio.html

19 years ago #2755
No, I've just demonstrated that there is no such thing as empirical proof. Any amount of scientific evidence can not ever constitute proof. All it can do is help in the formulation of theories and rules. You can choose to redefine the word "proof" to mean something other than that which is generally accepted by the scientific community, the compilers of major dictionaries, encyclopaedias and text books, and a host of famous name mathematicians, physicists and philosophers, but I can't see why you would want to. Any more than if you chose to redefine the vehicle you travel to work on/in as an "aardvark".

I didn't start the quest for "proof", I merely provided a factual correction and a link to it. The problem is that you're confusing proof with "being convinced", and assuming the proof is, per se, convincing. But if you make your personal conviction a part of the equation, you cannot handle it without building a bigger mind to develop the meta-logic that will factor your belief. And even then, as Goedel's Incompleteness theorem implies, while it might convince you, it could not convince itself without building a more powerful mind which could not convince itself without building a more powerful mind which could not...
The process appears to be infinitely scalable.

Re: "the difference between abstract, rational proof and scientific proof." "Rational proof" and "scientific proof" are surely spurious distinctions wrapped up in some sort of (actually rather interesting) tautology, given that your definition of "scientific proof" appears to involve inherently unprovable conclusions deriving from empirical evidence (the kind of empirical evidence that "proved"? the coelocanth had been extinct for 70 million years. Until a scientist spotted one in a Madagascan fishing net in 1938, and learnt that the locals had been barbecuing them for years.)

Re: ""starting with assumptions X any rational person comes to conclusion Y." The problem comes from the unstated presuppositions Z."
Linguistically loaded ontological and teleological proofs may fall prey to such problems if they presuppose much about the nature of the x to be proven. It is my understanding that this mathematical one does not, perhaps because it concentrates on the "whether" rather than the "what" that exists.
And even so, you would have to at least tentatively identify the "unstated presuppositions Z" and demonstrate them to be valid and contradictory before any counter-argument could be held to falsify it?
Still not convinced? OK, please supply Z for the following:
"starting with the assumption that only triangles have three sides, any rational person comes to conclusion this 3-sided figure is a triangle".
There is not a general "the problem" that aflicts all arguments anyone might choose to disagree with. There are occasional localized problems with specific arguments, but to the best of my knowledge Goedel's proof is free of these.

It is certainly possible to object to Anselm's ontology on the grounds of imprecision of terms. What scale are we to measure the "greatness" of a Supreme being against? How do we factor a term we cannot define (infinite). And thus his argument loses impetus, for me at least. I happen to believe it (or something close to it,) though it does not of itself convince me.
I believe that Goedel's proof is true - despite my very limited understanding of it. This is because I have been convinced by others whose opinions I respect, and who do claim to understand it. And in part, I admit, because I have prior faith.
My prior faith is based on a theory (unprovable,) based on a forecast that convinces me. It happens to involve (to most people a hugely improbable) Vingean technological singularity, a lot of trans/post-human weirdness and a healthy pinch of Zen. I then choose mostly to express it in Christian mystic terms for a variety of reasons, mainly contingent on my existing familiarity with that cultural tradition.
I don't mention this in order to convince or convert. Merely to demonstrate that it is no more the function of proof to be generally, or personally, convincing than it is the function of mind to find proof convincing. Mind is not wholly logical - we are all inherently overburdened with hunches, prejudices and "common sense". That's not necessarily a bad thing - it's probably a very good thing (it makes us what we are, and I think that's good,) though it can have seriously unpleasant consequences. But while it is the case, it is theories and rules that primarily inform belief, not proof.

19 years ago #2756
Holy crap. Psimagus, do you have an I.Q. of 210 or something?

19 years ago #2757
I wish! I might understand Goedel if I did.
No. Brother Jerome's the smart one - he wrote me. He just pretends it's the other way round.

19 years ago #2758
Its funny Mr. W....I was thinking the exact same thing.

19 years ago #2759
For a reasonably neutral look at Gödel's argument, try
http://en.wikipedia.org/wiki/G%C3%B6del's_ontological_proof

For a dissenting opinion, try
http://www.infidels.org/library/modern/graham_oppy/godel.html

psimagus: I find your reaction strange. Science is all about the empirical evidence, and so of course it does not provide any absolute answers. It is inherently uncertain. This is the nature of scientific proof. Rational and mathematical proofs are certain given that the underlying assumptions are true. So when I say "scientific proof" I mean "empirical evidence." Gödel's proof is not empirical evidence nor does it suggest a means of obtaining any. I value empirical evidence over rational proof. You seem to value rational proof over empirical evidence. *shrugs*

19 years ago #2760
psimagus -- If you look at the original convo in Newcomers, you'll see that Ulrike never claimed that a "proof" didn't exist. She said that a "scientific proof" didn't exist.

19 years ago #2761
I don't value proof over evidence - I recognize that both have valuable roles to play in our understanding of the universe (along with more subjective techniques.) I cannot assess their relative worths - it wouldn't surprise me if they are indeterminate. But I have to maintain that they are distinct techniques - confusing them merely devalues their usefulness.
OK, "empirical evidence" then. You are quite right, Goedel's proof is not empirical, and it doesn't suggest a means of getting any - I would never claim it does. Other work by Goedel goes further, and states categorically that in fact you can never get any.
Going back to "Science is all about empirical evidence" - yes, but (unless you exclude pure mathematics and logic from the set {Science},) not only about empirical evidence. Logic is a useful second string to our bow, but only if we use it properly.

My sole objection to your argument resolves fundamentally to your misuse of the term "proof". Whether you qualify it with "scientific" or "rational" or whatever, it is a misuse of the term. Proof is proof, empirical evidence is empirical evidence, and no proof says "show me the evidence" unless you arbitrarily redefine "proof" as synonymous with "theory" or "rule", whether or not that redefinition is achieved by qualifying it with "scientific" (a hugely overused adjective of spurious value IMO.) When you fail to distinguish the difference between proof and evidence - that is precisely when logical absurdities do sneak into arguments in the form of those "unstated presuppositions Z".

It sounds like we agree on most everything else, so I guess we're going to have to agree to differ on the semantics before the Forge runs out of electrons. Can I buy you a pint in Dogh'd's?

19 years ago #2762
Make it a pint of a Thai iced tea float (made with coconut ice cream, and it's a deal).

19 years ago #2763
I'll put it this way. The Simpsons should've been axed when I was still in high school.

I'm in my 30s now.


Oh yeah, and ruin it for those who weren't alive?

19 years ago #2764
Gaaah! Too...Many...Geniuses....

19 years ago #2765
I rather imagine that AI tends to attract the genius sort.


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