The most important thing: Wittgenstein, engineering, and the foundations of mathematics.

This paper revisits Wittgenstein's heavily criticized claims about the admissibility of inconsistencies in mathematics. It argues from the perspective of mathematics as a tool and combines material from the history and practice of engineering that makes Wittgenstein's claims about contradiction and...

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Publicado en:British Journal for the History of Philosophy Vol. 33; no. 3; pp. 635 - 658
Autor principal: Lenhard, Johannes
Formato: Artículo
Publicado: Taylor & Francis Ltd May2025
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: The most important thing: Wittgenstein, engineering, and the foundations of mathematics.
      aug:
        au: Lenhard, Johannes
        affil: Philosophy in Science and Engineering, Laboratory for Engineering Thermodynamics, Rhineland-Palatinate Technical University (RPTU), Kaiserslautern-Landau, Kaiserslautern, Germany
      su:
        Mathematics
        Wittgenstein, Ludwig, 1889-1951
        Engineering
        Inconsistency (Logic)
        Philosophy
      sug:
        subj:
          Mathematics
          Wittgenstein, Ludwig, 1889-1951
          Engineering
          Inconsistency (Logic)
          Philosophy
      keyword:
        Anti-maths movement
        engineering
        inconsistency
        practice
      ab: This paper revisits Wittgenstein's heavily criticized claims about the admissibility of inconsistencies in mathematics. It argues from the perspective of mathematics as a tool and combines material from the history and practice of engineering that makes Wittgenstein's claims about contradiction and inconsistency look much more plausible. Against this background, the paper interprets passages from Wittgenstein, including his exchange with Alan Turing where he highlights that basic laws of thought are at issue and that reflecting on them would be "the most important thing" he has talked about.
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    language: English
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