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Results tagged with big-list
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user 689
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.
26
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11
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Different ways of thinking about the derivative
In Thurston's philosophical paper, "On Proof and Progress in Mathematics", Thurston points out that mathematicians often think of a single piece of mathematics in many different ways. As an example, …
5
votes
Most harmful heuristic?
"Mathematical knowledge is contained and communicated primarily by documents."
I'm not sure if this is a heuristic, but in terms of beliefs that inhibit learning, this is definitely the one that hurt …
16
votes
Most harmful heuristic?
Any attempt to draw a fat Cantor set is a bad heuristic in my opinion. I saw such a diagram as an undergrad and believed for a while that there were intervals contained in the fat Cantor set. I don' …
68
votes
Most harmful heuristic?
One extremely harmful heuristic I held until fairly recently: identifying math with algebraic manipulation. When asked to prove an identity or an inequality I would often dive straight into algebraic …