Timeline for What are some slogans that express mathematical tricks?
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| Dec 15, 2009 at 8:19 | comment | added | Dan Petersen | Another famous example of this is the notion of stacks: quotients of schemes by group actions do not necessarily exist? We make them exist by sheer brute force! (And it's funny that the definition of a stack also mimics the definition of a distribution somehow -- in both situations, the idea is to forget the object itself and only remember how it acts on some class of "test objects".) | |
| Dec 14, 2009 at 21:15 | comment | added | John D. Cook | Related to that, "Look in a bigger bag." For example, to find an integer solution, first find a rational or even complex solution then try to show it's an integer. Or find a solution in a Sobolev space then prove the solution is actually a classical solution. | |
| Dec 14, 2009 at 15:15 | history | answered | Orbicular | CC BY-SA 2.5 |