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  • The core in Wittgenstein's conception of mathematics can be summed up in the motto that %22arithmetical rules are statements of internal relations%22. (PPO, p. 390) I am going to focus on Wittgenstein's insistence on a certain pictorial aspect of mathematical notation, which is, of course, his Tractarian heritage. Mathematical notation must always be capable to depicture a state of affairs. This is true of numbers, but also of mathematical proofs. Numbers and proofs are for Wittgenstein a sort of prototypes of certain activities. (1) The pictorial aspect of numerals is expressed in the key definition of a cardinal number: %22A cardinal number is an internal property of a list%22. (PR, p. 140) Wittgenstein's concrete and finitistic approach takes numeral for concrete objects as opposed to Frege-Russell's approach based on abstract sets.
  • The core in Wittgenstein's conception of mathematics can be summed up in the motto that %22arithmetical rules are statements of internal relations%22. (PPO, p. 390) I am going to focus on Wittgenstein's insistence on a certain pictorial aspect of mathematical notation, which is, of course, his Tractarian heritage. Mathematical notation must always be capable to depicture a state of affairs. This is true of numbers, but also of mathematical proofs. Numbers and proofs are for Wittgenstein a sort of prototypes of certain activities. (1) The pictorial aspect of numerals is expressed in the key definition of a cardinal number: %22A cardinal number is an internal property of a list%22. (PR, p. 140) Wittgenstein's concrete and finitistic approach takes numeral for concrete objects as opposed to Frege-Russell's approach based on abstract sets. (en)
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  • Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
  • Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs (en)
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  • Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
  • Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs (en)
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