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1. 1. Lectures On The Foundations Of Mathematics, Cambridge 1939

   Cambridge 1939

   

   A collection of lectures that examines what mathematics is and how mathematical propositions acquire their necessity and certainty, arguing that mathematics is not a discovery of abstract objects but a human, rule-governed activity rooted in linguistic practice and forms of life. It analyzes the nature of proof, the role of definitions and rules, and the grammar of mathematical statements, offering a critique of formalist, logicist, and naïve platonist accounts while reassessing the significance of Gödel-type results. Emphasizing the communal and normative aspects of mathematical practice, the lectures aim to dissolve philosophical confusions by clarifying how mathematical expressions function within particular language-games and techniques.

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