From inside the book. IntisarulHaque Wittgenstein on Number.

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Shanker Limited preview - Common terms and phrases acquaintance affairs analysis apply argued argument arithmetic assertion sign atomic Begriffsschrift Bemerkungen Carnap colour combination common complex constituents contains criticism discussion elementary propositions elements empiricism existence experience explain expression fact false Frege function grammar Ibid idea important internal properties interpretation language-games later limits linguistic logical atomism logical constants logical form Logical Positivism Logical Positivists logical structure logical syntax logical truth Ludwig Wittgenstein mathematical propositions meaning metaphysical names nature nonsense Notebooks notion objects ordinary language ostensive definition P.

Hacker passage phenomenology philo Philosophical Investigations Philosophische pictorial picture theory possible priori problem propo propositional sign question reality reference relation remarks representation represents rules Russell Russell's theory Schlick seems sense sentence simple sitions solipsism spatial statement symbol tautologies thesis things thought tion tokens Tractatus Logico-Philosophicus true truth-function understanding Vienna Circle Waismann Wittgenstein says word writes.

## Wittgenstein and the Turning Point in the Philosophy of Mathematics

Bibliographic information. This is in a sense misleading: Kronecker was not so much the first constructivist as the greatest representative at the time of a tradition of algebraists which includes Isaac Newton, Pierre de Fermat, Leonhard Euler, Carl Gustav Jacob Jacobi, Jacques Charles Francois Sturm — all responsible, as Kronecker was, for the discovery of powerful algorithms — and which has continued since with names such as Adolf Hurwitz, Denes Konig, and Francis Macaulay.

Kronecker obtained deep results in arithmetic of modular functions and the theory of elliptic functions with complex multiplication which turned out to be of fundamental importance for 20th-century mathematics.

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## Wittgenstein and the Turning Point in the Philosophy of Mathematics

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