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Results tagged with big-picture
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user 2757
Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
28
votes
What are interesting families of subsets of a given set?
Even families of subsets closed under unions are interesting. The following conjecture of Peter Frankl has been open for 31 years:
Let $A$ be a finite set, and let $\mathcal{F}$ be a collection o …
- 23.8k
97
votes
Experimental mathematics leading to major advances
Computer experiments (in the early 1960s!) led Birch and Swinnerton-Dyer to the formulation of their conjecture, which stimulated the development of much of arithmetic geometry.