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    Carmelics

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    Raoul Bott — Carmelics
    Thinkers/Raoul Bott
    Raoul Bott

    Raoul Bott

    contemporaryMathematical Logic and Topology

    1923 – 2005

    Raoul Bott (1923-2005) was a Hungarian-American mathematician renowned for his foundational contributions to geometry, topology, and mathematical physics. He is best known for the Bott periodicity theorem, the Atiyah-Bott fixed-point theorem, and Morse-Bott theory, which have had profound influence across modern mathematics.

    WWikipedia

    Notable Achievements

    1

    Proved the Bott periodicity theorem in homotopy theory

    2

    Co-developed the Atiyah-Bott fixed-point theorem

    3

    Introduced Morse-Bott theory generalizing Morse theory

    4

    Awarded the Wolf Prize in Mathematics (2000) and National Medal of Science (1987)

    5

    Advanced the mathematical foundations of gauge theory and index theorems

    Positions & Arguments

    (1)

    Philosophy of Language

    claim

    The semantics of a formal system rich enough to contain elementary mathematics cannot be fully defined in terms of mathematical functions within that same system.

    Truth & Knowledge

    claim

    The semantics of a formal system rich enough to contain elementary mathematics cannot be fully defined in terms of mathematical functions within that same system.

    At a Glance

    Ideas

    1

    Topics

    2

    Era

    contemporary

    Tradition

    Mathematical Logic and Topology

    Topic Influence

    Truth & Knowledge1
    Philosophy of Language1

    Related Thinkers

    Immanuel Kant2 sharedDavid Lewis2 sharedBertrand Russell2 sharedBrian Skyrms2 sharedDavid Hume2 sharedStathis Psillos2 sharedAristotle2 sharedBas van Fraassen2 shared

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