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    Cesare Burali-Forti — Carmelics
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    Cesare Burali-Forti

    Cesare Burali-Forti

    modernMathematical Logic / Peano School

    1861 – 1931

    Cesare Burali-Forti (1861-1931) was an Italian mathematician and logician, a member of Giuseppe Peano's school in Turin. He is best known for discovering the Burali-Forti paradox in 1897, one of the earliest antinomies in set theory, which showed that the set of all ordinal numbers leads to a contradiction.

    WWikipedia

    Notable Achievements

    1

    Discovered the Burali-Forti paradox (1897), the first published paradox of set theory

    2

    Contributed to the development of transfinite ordinal number theory

    3

    Collaborated with Giuseppe Peano on symbolic logic and the Formulario Mathematico

    4

    Published influential works on vector analysis and linear transformations

    5

    Advanced the axiomatization of mathematics in the Italian logical tradition

    Positions & Arguments

    (1)

    Truth & Knowledge

    claim

    For any real number x, the terms of a conditionally convergent series can be rearranged so that x is the sum of the rearranged series.

    At a Glance

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    Era

    modern

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    Mathematical Logic / Peano School

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    Truth & Knowledge1

    Related Thinkers

    Immanuel Kant1 sharedDavid Lewis1 sharedBoyd1 sharedBrian Skyrms1 sharedStathis Psillos1 sharedBertrand Russell1 sharedDavid Hume1 sharedAristotle1 shared

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