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date: 28 March 2020

Abstract and Keywords

The nineteenth century saw one of the most significant transitions in the history of Western logic. The traditional logic of the syllogism was swept away and replaced by mathematical logic. The chapter traces the highly significant German contribution to this process. It starts with traditional logic, as found in Kant, and the flowering of dialectical logic in Hegel and then Engels. It then reviews debates about the nature of logic, and the decisive rejection of psychologism by Bolzano. The foundational work in mathematical logic provided by the algebraic techniques of Schröder and Frege’s Begriffsschrift are then discussed.

Keywords: Bolzano, Frege, Hegel, Kant, Schröder, dialectic, logic, psychologism, syllogistic

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