Vorlesungen über die Algebra der Logic

work by Schröder

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July 23, 2026

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Ernst Schröder's Vorlesungen über die Algebra der Logik (1890–1905) is a comprehensive presentation of the algebra of logic as understood around 1890. This extensive work, presented in three volumes, includes original contributions and a thorough bibliography of logic's history.12

Schröder's work focuses on an extensional logic, utilizing a special sign for inclusion and incorporating Boolean operations. The first volume details the theory of classes, while the second explores propositional logic. The third volume is dedicated to the logic of relations, drawing significantly from Peirce's work. Schröder's "dualism" property, where switching addition and multiplication, along with 0 and 1, maintains theorem validity, is a notable feature. His work was highly influential on 20th-century German logicians.12

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history of logic
Ernst Schröder
…main work was his three-volume Vorlesungen über die Algebra der Logik (1890–1905; “Lectures on the Algebra of Logic”). This is an extensive and sometimes original presentation of all that was known about the algebra of logic circa 1890, together with derivations of thousands of theorems and an extensive bibliography of…
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…main work was his three-volume Vorlesungen über die Algebra der Logik (1890–1905; “Lectures on the Algebra of Logic”). This is an extensive and sometimes original presentation of all that was known about the algebra of logic circa 1890, together with derivations of thousands of theorems and an extensive bibliography of…
Read More