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You are not logged in. #1 20080731 12:37:33
Fermats Last TheoremI was just reading about the theorem when i came upon that it was proved. I would like to see the proof. Or an explanation at the least how the Andrew Wiles proved the conjecture and used it prove the theorem. I m still in High School so i might not understand all of it but i cant believe it without seeing it. #2 20080731 20:45:51
Re: Fermats Last TheoremHere you go: #3 20080731 21:06:50
Re: Fermats Last Theorem10 Mb?? Last edited by ZHero (20080731 21:09:15) If two or more thoughts intersect with each other, then there has to be a point. #4 20080801 01:27:52
Re: Fermats Last TheoremSome people think that Fermat's proof had a flaw in it (there are certainly some flaws that could have come up, as people who tried proving it have shown). Why did the vector cross the road? It wanted to be normal. #5 20080801 02:09:41
Re: Fermats Last TheoremYou don't have a chance at understanding the proof. I can say this because I don't have a chance at understanding the proof, at least not yet. You need to understand some rather complex machinery before you can even start to read it. And once you do, it's 200 pages long and from what I hear, a rather complicated argument.
Unless you think there were integers that fit the theorem before Wile's proof and disappeared as soon as he came up with it, yes it was valid.
Not quite. Rather, Fermat's Last Theorem is a corollary to a rather huge theorem. That rather huge theorem is what Wiles proved, known as the Modularity theorem. Specifically, Wiles proved that all elliptic curves were modular, and if there was a solution to FLT, then it would be an elliptic curve that wasn't modular.
None that I'm aware of.
I think he was just making it all up... "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #6 20080801 23:05:03
Re: Fermats Last Theorem
Is this the most difficult proof ever? #7 20080802 00:39:42
Re: Fermats Last Theorem
No. That would probably be, "Classify all finite simple groups." That spanned thousands of papers and hundreds of mathematicians. Another good one is "Prove that any group of odd order is solvable." That one was 255 pages. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20080802 03:19:33
Re: Fermats Last Theorem
Perhaps it's not the longest proof, but has any other theorem taken longer to prove from the time it was first proposed? My hunch is that there has been, but I don't know off the top of my head. Wrap it in bacon #9 20080802 03:28:39
Re: Fermats Last TheoremWhat about the 4colour proof? Why did the vector cross the road? It wanted to be normal. #10 20080802 05:33:10
Re: Fermats Last TheoremIf you want length, look at the classical greek problems like trisecting an angle with a compass and straight edge. That was only answered 1500+ years later. But then again you might say that doesn't count... "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20080802 09:06:36
Re: Fermats Last TheoremThx Jane that was very useful. Thats gonna occupy me for an year or so. I m goin to try and understand it if i can. #12 20080802 12:05:55
Re: Fermats Last Theorem
What I meant is in terms of conceptual and mathematical difficulty. The 4colour theorem (I think) is a computer proof, and covers lots of cases. This may make it long, but it may not make it difficult. #13 20080802 12:16:51
Re: Fermats Last Theorem
You should listen to my warning. Go to college, get an undergraduate degree in mathematics, then a few years in graduate school. Then you can start trying. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #14 20080803 03:13:02
Re: Fermats Last Theorem
Sry i didnt take your warning seriouly the first time but after reading the first 2 pages i think i shall. #15 20080804 03:54:58
Re: Fermats Last Theorem
Ah, so you did. Ricky distracted me by mentioning the length of his example, but that one's probably long and difficult. Why did the vector cross the road? It wanted to be normal. 