Yeah, perhaps some are true, but all he directly proved is that they are unknowable.
No he didnt. Reread my post again or, better yet, actually take a course in mathematics on formal systems to at least gain a clue. For the benefit of what appears to be someone very slow on the uptake the key point is this:
[SIZE=+5]
Unknowable does not equal unproveable[/SIZE]
Ffs, the fact that you cant even state Gödels theorem accurately should be a red flag.
Steven Hawking in post 1 may be the most famous scientist on earth.
From that lecture:
This is very reminiscent of Gödels theorem. This says that any finite system of axioms, is not sufficient to prove every result in mathematics.
Fancy that. Your own source disagrees with you on what Gödels theorem entails. He even actually went through the theorem itself. Did miss/ignore that part?
What about "Godel and the End of Physics" did you find complicated?
None of it. This is a public lecture where the concepts and ideas are being simplified for the layperson.
Normal humans can't follow that kind of math, but it's a world class scientist flat out saying it applies to physics and that it's been proven with math.
And he is probably right since pretty much all of physics boils down to a formal axiomatic-based model at some point. Theories in physics
are mathematical models. The problem here is that what Stephan is saying isnt what you think he is saying. If you cant even state Gödels theorem accurately then how can you even pretend to understand Stephans extrapolation of it?
Greg Chaitin in post 1 who invented Algorithmic Information Theory, information theory for digital information probably is the greatest living mathematician, he's sure the greatest living expert on Godel. And he says the same damn thing.
Same problem as above what he is saying isnt what you are claiming he is saying. This is probably due to you having no understanding whatsoever of formal mathematics and the precise meaning of the word incomplete within that context.
It's damn obvious if you understand it,
The problem is that you dont understand it.
but what both are talking about, is the educated, informed argument against Godel. What about if you use an infinite number of axioms, what if you take an infinite number of things on pure faith, can you then plug all the gaps?
Neither of the two are even remotely close to discussing that. In fact, considering that the theorem is inherently to do with things known but unproaveable, the term gaps is you once again twisting Gödel into something it is not nor never will be. To be pretty blunt, you are making shoite up and massacring the words and works of others in an attempt to justify your crap.
What they are talking about in those two peer reviewed papers, is that even with an infinite number of axioms, even if you take an infinite number of things on pure faith, and are right about all of them, even then, the math is incomplete, and science will never describe the universe, much less make it work.
Stephans was a layperson lecture not a peer reviewed paper. Unfortunately it appears he failed to simply his material sufficiently for you to have followed it. He also at no point ever discussed what you say above (probably due to it being false).
Greg also did not discuss anything relating to an infinite number of axioms. The reason he didnt is probably because your claim that
if you take an infinite number of things on pure faith, and are right about all of them, even then, the math is incomplete is flat out false as follows:
Let X be the set of all true statements, and suppose that we have a formal system Y defined axiomatically by the elements in X. By definition any true statement under system Y is provable and hence complete. Q.E.D.
You also fail to take into account that Gödels work only applies to effectively generated systems. That is, systems built upon countable sets of axioms.
As I said before:
[SIZE=+5]Leave Gödel alone and stop massacring his work.[/SIZE]
Unknowable to science as long as it uses math. Not necessarily unknowable to some other system. I have another thread based on the same principle, "Some positions Based on Faith are closer to Truth than Science'.
Unknowable does not equal unprovable. Even within any given formal system where Gödel applies something being unprovable does not make it unknowable. Take a course in mathematics and learn what these terms mean and in what context they are used. Seriously.
Easy to prove I don't know French, that it's unknowable to me. That doesn't mean I know French.
French would be unknowable to you if you were dead, retarded, linguistically deficient, a non-human incapable of learning human communication skills, a human incapable of learning communication skills, etc. The fact that you can learn French, that you have the means at your disposal to carry out the act of learning French, means it is by definition
knowable. The fact that you can be assessed to determine whether or not you know French means that is definitionally
knowable.
That a person doesnt even know the difference between knowing and knowable while attempting to discuss something involving formal logic isnt just funny it is tragically funny.
You can prove (Godel's Proof) that some statements (Godel's Incompleteness Theorem) are eternally unknowable. That doesn't mean you know if it's true or false.
You do realise that Gödels theorem was entirely concerned about the existence of true statements that are unprovable right? That the possibility of knowing a statement to be true but unprovable was why his theorem made such a ripple when published? You do realise that including the word eternally to Gödels theorem is a joke when the simple addition of one more axiom renders any chosen statement provable? You do know it is a joke to use the word unknowable when Gödels theorem has nothing to do with unknowable statements?