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Timeline for Blackbox Theorems [closed]

Current License: CC BY-SA 3.0

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Sep 10, 2013 at 13:01 review Reopen votes
Sep 10, 2013 at 13:04
Sep 9, 2013 at 12:58 review Reopen votes
Sep 9, 2013 at 13:06
Sep 15, 2012 at 9:38 history closed Benjamin Steinberg
Bill Johnson
Felipe Voloch
Will Jagy
Asaf Karagila
no longer relevant
Jun 28, 2012 at 4:00 answer added Karl Schwede timeline score: 4
Jun 28, 2012 at 3:09 answer added Jeff H timeline score: 10
Jun 28, 2012 at 2:04 answer added Owen Sizemore timeline score: 1
Jun 26, 2012 at 19:33 answer added David Corwin timeline score: 17
Jun 26, 2012 at 17:15 answer added cheyne timeline score: 9
Jun 23, 2012 at 18:14 answer added Marty Isaacs timeline score: 10
Jun 18, 2012 at 17:10 answer added Scott Aaronson timeline score: 8
Jun 17, 2012 at 22:46 comment added Benjamin Steinberg I think older well known theorems are often not cited from the source and also are not well counted by citation counts. I am pretty sure the classification of simple groups is not always cited in a way that checking bibliographical references will catch.
Jun 17, 2012 at 16:58 comment added Alexander Chervov 100 papers ... so many ... are there really so many theorems which are black box and used so wide ? If you would require to provide a paper where the theorem has been proved, then by number of citations from e.g. scholar.google one can make answer more veriafiable more quantative :) :)
Jun 17, 2012 at 3:41 answer added Nate Eldredge timeline score: 4
Jun 17, 2012 at 3:08 comment added Benjamin Steinberg In my mind I was hoping for things used in at least 100 papers and understood in all technical detail by fewer than 5% of people in the general area to which the theorem belongs. But it need not be this rigid.
Jun 16, 2012 at 20:41 answer added Salvatore Siciliano timeline score: 10
Jun 16, 2012 at 19:21 comment added Benjamin Steinberg The classification is used by people working on permutation groups and graph theory all the time. Also they are used in profinite group theory.
Jun 16, 2012 at 12:57 comment added Alexander Chervov If would set quantative measure: " widely applied means one knows more than N papers which use theorem" within N = 25 or 50 or whatever... would it change answers? It seems alll hard theorems are in the list:) are they really so widely applied? PS any way great question PS PS is classification of simple groups applied some where?
Jun 16, 2012 at 1:40 answer added HeWhoHungers timeline score: 3
Jun 15, 2012 at 15:39 comment added Timothy Chow It's interesting to compare this question with other MO questions about personally verifying results that you cite: mathoverflow.net/questions/23758/… and mathoverflow.net/questions/98821/… for example.
Jun 15, 2012 at 12:23 answer added wildildildlife timeline score: 12
Jun 15, 2012 at 8:57 answer added Deane Yang timeline score: 4
Jun 15, 2012 at 8:31 answer added Deane Yang timeline score: 6
Jun 15, 2012 at 8:19 answer added Gil Kalai timeline score: 12
Jun 15, 2012 at 6:55 answer added Daniel McLaury timeline score: 4
Jun 15, 2012 at 4:12 answer added Yemon Choi timeline score: 3
Jun 15, 2012 at 3:17 answer added Dori Bejleri timeline score: 17
Jun 15, 2012 at 2:20 answer added David Harris timeline score: 4
Jun 15, 2012 at 0:20 answer added Jeff Strom timeline score: 1
Jun 15, 2012 at 0:19 comment added Felipe Voloch @Zsbán: That theorem has nice consequences, e.g., in finite geometry. But treating it as a blackbox is just laziness, since the proof is just a couple of pages of basic graduate algebra.
Jun 15, 2012 at 0:14 answer added Paul Siegel timeline score: 7
Jun 15, 2012 at 0:04 answer added Paul Siegel timeline score: 11
Jun 14, 2012 at 23:08 answer added Gerry Myerson timeline score: 1
Jun 14, 2012 at 22:02 comment added Zsbán Ambrus While we're at algebra, would the theorem that all finite skew fields are fields count? Or is that a curiosity that has no actual applications?
Jun 14, 2012 at 15:16 answer added darij grinberg timeline score: 2
Jun 14, 2012 at 15:05 answer added darij grinberg timeline score: 8
Jun 14, 2012 at 11:17 answer added Ricky timeline score: 14
Jun 14, 2012 at 10:49 answer added Mikhail Bondarko timeline score: 6
Jun 14, 2012 at 10:32 answer added C.S. timeline score: 3
Jun 14, 2012 at 10:18 answer added Martin Brandenburg timeline score: 28
Jun 14, 2012 at 10:09 answer added Zsbán Ambrus timeline score: 3
Jun 14, 2012 at 10:07 answer added Martin Brandenburg timeline score: 13
Jun 14, 2012 at 9:58 comment added Martin Brandenburg Quite related: mathoverflow.net/questions/32409/examples-of-folk-theorems
Jun 14, 2012 at 9:46 answer added Denis Serre timeline score: 1
Jun 14, 2012 at 8:37 answer added Martin Brandenburg timeline score: 8
Jun 14, 2012 at 8:29 answer added Martin Brandenburg timeline score: 14
Jun 14, 2012 at 7:02 answer added Michael Greinecker timeline score: 4
Jun 14, 2012 at 6:20 answer added Fred Rohrer timeline score: 23
Jun 14, 2012 at 5:02 answer added Kestutis Cesnavicius timeline score: 36
Jun 14, 2012 at 1:36 answer added Malik Younsi timeline score: 31
Jun 14, 2012 at 1:26 answer added S. Carnahan timeline score: 18
Jun 14, 2012 at 1:26 answer added Daniel Moskovich timeline score: 32
Jun 14, 2012 at 1:12 answer added weakstar timeline score: 9
Jun 13, 2012 at 23:54 answer added Gjergji Zaimi timeline score: 48
Jun 13, 2012 at 23:51 answer added Anthony Quas timeline score: 4
Jun 13, 2012 at 23:25 answer added Abhishek Parab timeline score: 25
Jun 13, 2012 at 23:05 answer added Gerry Myerson timeline score: 42
Jun 13, 2012 at 23:03 answer added Asaf Karagila timeline score: 6
Jun 13, 2012 at 23:01 answer added Benjamin Steinberg timeline score: 3
Jun 13, 2012 at 23:00 answer added Gerry Myerson timeline score: 25
Jun 13, 2012 at 22:42 answer added tweetie-bird timeline score: 18
Jun 13, 2012 at 22:21 answer added Zsbán Ambrus timeline score: 7
Jun 13, 2012 at 22:08 answer added Noah Schweber timeline score: 3
Jun 13, 2012 at 22:08 answer added Zsbán Ambrus timeline score: 23
Jun 13, 2012 at 22:05 comment added Steve Huntsman Domain of use is important here. Many theorems are invoked by physicists who have no idea of the actual proofs.
Jun 13, 2012 at 21:45 answer added Ralph timeline score: 11
Jun 13, 2012 at 21:43 answer added Karl Schwede timeline score: 24
Jun 13, 2012 at 21:43 answer added Santiago timeline score: 4
Jun 13, 2012 at 21:38 comment added Karl Schwede The simpler proofs are still at least 20 pages of fairly technical mathematics though.
Jun 13, 2012 at 21:36 answer added Karl Schwede timeline score: 13
Jun 13, 2012 at 21:36 answer added Jan Weidner timeline score: 12
Jun 13, 2012 at 21:34 answer added Denis timeline score: 5
Jun 13, 2012 at 21:31 answer added Jan Weidner timeline score: 48
Jun 13, 2012 at 21:30 answer added Dirk timeline score: 0
Jun 13, 2012 at 21:28 comment added darij grinberg I have heard the resolution of singularities being mentioned as an example of this (although there seem to be simpler proofs around now).
Jun 13, 2012 at 20:58 history asked Benjamin Steinberg CC BY-SA 3.0