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nLab: Parametricity Theorem

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    • CommentRowNumber1.
    • CommentAuthorvpatryshev
    • CommentTimeDec 21st 2014
    (sorry, this is my first post here, pls don't be harsh)

    Everybody heard about Reynold's parametricity theorem and Wadler's theorems for free. I had spent some time trying to figure out what's the trick, and what it actually amounts to.
    I believe I have an opinion on this, a rather cynical one, but maybe somebody who knows math can explain the actual meaning of it?

    So far it looks to me like this: take a well-pointed category with products, exponentials (and, maybe, a classifier), map its objects to Set so that points, products, exponentials and classifier are preserved - and you get a functor. (Period.) And?
    • CommentRowNumber2.
    • CommentAuthorspitters
    • CommentTimeDec 21st 2014

    There’s a bit more to it :-) E.g. see Mike’s post

    • CommentRowNumber3.
    • CommentAuthorvpatryshev
    • CommentTimeDec 23rd 2014
    Oh, now I see. Thanks a lot!!!

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