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stone space

(6,498 posts)
25. Ok, I'll rephrase it.
Thu Feb 26, 2015, 04:29 PM
Feb 2015
(And it has been proven for 20 years now, FYI... so it does.)


Do you believe that the set theoretical assumptions that Wiles used in his proof of FMT 20 years ago are consistent?

Here's an article that discusses Wiles' set theoretical assumptions:

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9050242&fileId=S1079898600000810

If you can't access the published version, here's a pdf version of the same article that is not behind a paywall.

http://www.cwru.edu/artsci/phil/Proving_FLT.pdf

That is, do you believe in the existences of Grothendieck universes (essentially, strongly inaccessible cardinals), or at least do you believe that their existence does not lead to contradictions?

How about a whole Proper Class of Grothendieck universes?



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Considering that math is the language of science... DetlefK Feb 2015 #1
Mistitled, a little dated Android3.14 Feb 2015 #2
In addition, I can't for the life of me figure out the connection to religion. cbayer Feb 2015 #3
Not religion per say, but some do... stone space Feb 2015 #9
We often discuss the conflict (or lack thereof) between belief cbayer Feb 2015 #10
Given point (3) in the article, ... stone space Feb 2015 #12
So you are saying that math relies on belief? cbayer Feb 2015 #13
I like the description of mathematics as... stone space Feb 2015 #14
I think it's about hostility in both directions. cbayer Feb 2015 #16
"Atheist fundamentalists think religion is trying to destroy science." trotsky Feb 2015 #19
No, Agnostics think it too. Dont call me Shirley Feb 2015 #26
I think... gcomeau Feb 2015 #20
Do you believe in Fermat's Last Theorem? (nt) stone space Feb 2015 #21
The question makes no sense. gcomeau Feb 2015 #22
Very odd that someone who skepticscott Feb 2015 #23
Ok, I'll rephrase it. stone space Feb 2015 #25
Sigh. gcomeau Feb 2015 #29
How? stone space Feb 2015 #30
The same way I can see 2+2 =4. gcomeau Feb 2015 #31
Divine revelation, perhaps? stone space Feb 2015 #32
Doing. The. Freaking. Math. gcomeau Feb 2015 #33
You are the one claiming... stone space Feb 2015 #34
I simply pointed out the proof existed. gcomeau Feb 2015 #35
That wasn't the question. stone space Feb 2015 #36
If. You. Want. To. Dispute. The. Proof. Do. The. Work. gcomeau Feb 2015 #37
How can I dispute your work? stone space Feb 2015 #38
I didn't write the proof you linked. And now you're *really* playing dumb. -eom gcomeau Feb 2015 #39
I didn't link to a proof. stone space Feb 2015 #41
Allow me to translate gcomeau's responses okasha Feb 2015 #42
Nice try, but gcomeau had it pretty well nailed in post 29 skepticscott Feb 2015 #45
I think they can coexist quite well. stone space Feb 2015 #4
It's a silly question Android3.14 Feb 2015 #5
Thus, goats. trotsky Feb 2015 #6
Congrats. You're seeing what everyone else sees, too. cleanhippie Feb 2015 #7
I feel fairly certain that you are trying to make a point here that cbayer Feb 2015 #8
My math is limited. okasha Feb 2015 #43
As the thread has evolved, I have gotten a somewhat better understanding cbayer Feb 2015 #46
You copied the title from the OP, right? stone space Feb 2015 #11
Oh, bother edhopper Feb 2015 #15
Ah, that's my childhood alter-ego. cbayer Feb 2015 #18
I'm guessing you enjoyed Anathem. AtheistCrusader Feb 2015 #17
Math is fundamental to much of science (no pun intended). Don't see the connection w/ religion here. pinto Feb 2015 #24
Math and Science are the inextricably bound together. Agnosticsherbet Feb 2015 #27
Somehow, I suspect that science would weather the storm. stone space Feb 2015 #44
I refuse to believe in 'imaginary numbers' until someone can proove they are real... n/t PoliticAverse Feb 2015 #28
Oh, jeezus. Iggo Feb 2015 #40
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