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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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Title
| - 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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skos:prefLabel
| - 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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skos:notation
| - RIV/00216224:14210/13:00072270!RIV14-MSM-14210___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216224:14210/13:00072270
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Wittgenstein; mathematics (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...in/vavai/riv/obor
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