Update, thanks to @AlexKontorovich and @HannesMalmberg1https://twitter.com/ben_golub/status/1221639442663792641 …
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Update, thanks to @AlexKontorovich and @HannesMalmberg1https://twitter.com/ben_golub/status/1221639442663792641 …
I heard Kahneman say something very similar when he gave a series of talks here years ago: everyone remembers Linda the Bank Teller and it is easier to generalize from that example than to go in the reverse direction.
It's been a while since I read it, but I think this is an example of/follows from Tversky's early work on similarity (which would be well-known to Kahneman) http://www.cogsci.ucsd.edu/~coulson/203/tversky-features.pdf …
Along with the Gowers blog post, this great article by John E. McCarthy, “How to give a good colloquium”, makes a similar point about the value of doing examples first: https://www.ams.org/profession/leaders/workshops/gcoll.pdf … [PDF]
This is the main teaching strategy I learnt from @sstern_mit. Finding the "right" execute is a lot harder than it looks though.
Sounds like you found what you were looking for -- but sounded quite like "Gelfand principle" https://sites.math.rutgers.edu/~zeilberg/Opinion65.html …
Not only for talks, for all learning this is my preferred method. I like to see a concrete example, then learn how it generalizes from there. Some people, though, do seem to be top-down, but I think they are a small minority.
A rule I always try to follow in my writing and presentations. Though sometimes it makes the point so clear that readers/viewers thought they understood it beforehand.
However, people are also very good at generalizing wrongly from a misleading example.
Or even from a good example, in isolation. ¯\_(ツ)_/¯
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