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    Ferdinand von Lindemann — Carmelics
    Thinkers/Ferdinand von Lindemann
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    Ferdinand von Lindemann

    modernPhilosophy of Mathematics

    1852 – 1939

    Carl Louis Ferdinand von Lindemann (1852–1939) was a German mathematician whose 1882 proof that π is a transcendental number settled the ancient problem of squaring the circle. Beyond his landmark result in number theory, Lindemann engaged with foundational questions in the philosophy of geometry, situating him within late 19th-century debates about the epistemological status of mathematical axioms.

    WWikipedia

    Notable Achievements

    1

    Proved the transcendence of π (1882), demonstrating that squaring the circle with compass and straightedge is impossible

    2

    Extended Hermite's method for proving e transcendental to establish a general transcendence theorem

    3

    Contributed to foundational debates on whether geometric axioms express truths or are conventional stipulations

    4

    Produced work in projective and non-Euclidean geometry during a period of intense foundational reassessment

    Positions & Arguments

    (1)

    Modality & Possibility

    claim

    Metric geometry is neither true nor false.

    Truth & Knowledge

    claim

    Metric geometry is neither true nor false.

    At a Glance

    Ideas

    1

    Topics

    2

    Era

    modern

    Tradition

    Philosophy of Mathematics

    Topic Influence

    Truth & Knowledge1
    Modality & Possibility1

    Related Thinkers

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