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Results tagged with intuition
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user 1384
Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).
31
votes
Most 'unintuitive' application of the Axiom of Choice?
The fact that there exist non-measurable sets is highly counter-intuitive; the reason we don't find it so is that we've all been conditioned from day 1 to do measure theory very carefully, and define …
- 44.4k
31
votes
Intuition behind the Eichler-Shimura relation?
Let me highlight some issues that Emerton doesn't:
1) you seem to hint that you don't know that modular forms can be viewed as a product of a bunch of local terms. So there is an adelic story, where …
- 41.4k
3
votes
Examples and intuition for arithmetic schemes
I think that checking these statements formally gave me some sort of intuition as to what was going on at the time. …
- 15.1k
24
votes
Intuition for the last step in Serre's proof of the three-squares theorem
I have never understood this proof either. What in my mind makes it very odd is that a very similar argument can sometimes be used to prove in some sense the exact opposite---that certain equations ha …
- 41.4k