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The Mathematical and Poetical Investigations, Wittgenstein and the Grammar of Mathematics and Poetry

Hidoux-Le Hénaff, Alexandre
(2022)

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Hidoux--LeHenaffAlexandre_67642000_2022.pdf
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Details

Supervisors
Verdée, Peter
Faculty
Faculté de philosophie, arts et lettres
Degree label
Master [120] en philosophie, à finalité approfondie
Abstract
This thesis is an investigation of the language of mathematics and poetry following Wittgenstein’s methodology in the Philosophical Investigations. Its objective is to see if both domains share similarities in language and if they can inform us on how language works. The key distinction made in the Tractatus between saying and showing serves as a landmark to our work. Starting with Wittgenstein’s criticism of the referential theory of language, we argue that propositions of mathematics and poetry both lack sense. They instead manipulate language in a specific way that makes them show how language works. Mathematics shows syntax, that is rules of grammar of which we act when we use language. Poetry shows semantics which is the necessary context in which words are used. Syntax and semantics make us understand how language works and is used in Wittgenstein’s late philosophy as they contribute to the understanding of meaning as use.