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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
1
vote
Elementary + short + useful
Stone's representation theorem.
16
votes
Elementary + short + useful
Strong law of large numbers
8
votes
Accepted
An undergraduate's guide to the foundational theorems of logic
Edit: This answer was given to the original formulation of the question, which asked for five-minute explanations for laypersons met on the street, rather than handwavy introductions for undergraduate …