Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
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angličtina
Original language name
Pictorial Aspects of Mathematical Notation in Wittgenstein: Numbers and Proofs
Original language description
The core in Wittgenstein's conception of mathematics can be summed up in the motto that "arithmetical rules are statements of internal relations". (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 prototypesof certain activities. (1) The pictorial aspect of numerals is expressed in the key definition of a cardinal number: "A cardinal number is an internal property of a list". (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.
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
AA - Philosophy and religion
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů