WITTGENSTEIN AND THE MEASUREMENT OF THE CIRCUMFERENCE

Authors

  • André Porto

DOI:

https://doi.org/10.5216/phi.v12i2.6300

Keywords:

Wittgenstein, Philosophy of mathematics, continuity.

Abstract

Wittgenstein’s philosophy of mathematics involves two highly controversial theses: the idea that mathematical propositions are not about (abstract) objects and the idea that no mathematical conjecture is ever answered as such, because the advent of the proof always determines a semantical shift of the meanings of the terms involved in the conjecture. The present article offers a reconstruction of Wittgenstein’s arguments supporting these theses within a very restricted setting: Archimedes’ discovery of an algorithm for calculating the number Pi.

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Author Biography

  • André Porto

    Departamento de Filosofia, UFG.
    Filosofia da matemática, Filosofia da Linguagem

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Published

2016-06-20

Issue

Vol. 12 No. 2 (2007): Philosophy of Language and mind

Section

Artigos Originais

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How to Cite

PORTO, A. WITTGENSTEIN AND THE MEASUREMENT OF THE CIRCUMFERENCE. Philósophos a journal of philosophy, v. 12, n. 2, 20 Jun.2016.