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Statements

Subject Item
n2:RIV%2F00216224%3A14210%2F13%3A00072270%21RIV14-MSM-14210___
rdf:type
n7:Vysledek skos:Concept
dcterms:description
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.
dcterms:title
Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
skos:prefLabel
Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
skos:notation
RIV/00216224:14210/13:00072270!RIV14-MSM-14210___
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n9:I
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I
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n6:2014
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n13:O
n3:duvernostUdaju
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n3:entitaPredkladatele
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n3:idSjednocenehoVysledku
96219
n3:idVysledku
RIV/00216224:14210/13:00072270
n3:jazykVysledku
n17:eng
n3:klicovaSlova
Wittgenstein; mathematics
n3:klicoveSlovo
n12:mathematics n12:Wittgenstein
n3:kontrolniKodProRIV
[1B47B1355038]
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n14:AA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n6:2013
n3:tvurceVysledku
Mácha, Jakub
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14210