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Atrium > Mathematics, Physics & Philosophy: lenses and optics

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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 22nd 2018

    Plenty of people were mentioning lenses at SYCO 1. Can’t say I gained much of a feel for them. De Paiva’s Dialectica interpretation was mentioned in this respect, and apparently Mitchell Riley’s Categories of Optics is the place to go for a broader account.

    Curious how many young researchers reference the nLab, but shy away from describing their work there.

  2. Fascinating! I would have naively thought that, whilst obviously the technology has changed, the theory of lenses hadn’t evolved significantly since Spinoza was making them…!

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeSep 23rd 2018

    I think this meaning of “lens” is a mathematical one…

  4. Oh, oops!

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 23rd 2018

    Sorry, I thought you were joking, or I would have answered myself.

  6. Hehe, no problem. As will now be evident, I hadn’t actually clicked on the links!

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2018
    • (edited Sep 24th 2018)

    But saying “lenses” and on top of that “optics” without any further qualification, as I see them do, is actively conjuring misunderstanding.

    I had had exactly the same thought that Richard had - and how should one not? - until I finally opened one of the articles.

    Hopefully there is enough substance in the theory to make up for this grandiose highjacking of terms?

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeSep 24th 2018

    Do you similarly object to words like “chromatic homotopy theory”? Mathematics has always stolen words from outside mathematics and given them new mathematical meanings.

    • CommentRowNumber9.
    • CommentAuthorAlexisHazell
    • CommentTimeSep 24th 2018

    According to this page,

    The name lens goes back to Benjamin Pierce’s work on bidirectional programming. … Before that they were a folklore technique in the functional programming world, known as ’functional references”

1 to 9 of 9

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