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nLab > Latest Changes: Gottfried Leibniz

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 21st 2019
    • (edited May 21st 2019)

    added pointer to

    • Mikhail Katz, David Sherry, Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond (arXiv:1205.0174)

    where on the bottom of p. 9 I find

    Leibniz rejects nilsquare and nilcube infinitesimals, which are alto-gether incompatible with his approach to differential calculus,

    So if not Leibniz, who can be credited with first considering nilpotent infinitesimals?

    diff, v6, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 21st 2019

    We had a lengthy discussion about Leibniz and infinitesimals back here.

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 11th 2019

    Added a quotation about Leibniz’s metaphysics which tallies with my understanding.

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 12th 2023
    • (edited Aug 12th 2023)

    the entry used to bluntly claim that from Leibniz’s “monads” :

    we get the names of both the monads of category theory and the infinitesimal neighbourhoods of nonstandard analysis.

    I have reworded this (here) to qualify the statement more

    diff, v10, current

1 to 4 of 4

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