Titlebook: Ernst Schröder on Algebra and Logic; Stephen Pollard Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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https://doi.org/10.1007/978-981-19-4625-7ques for manipulating equations involving these four inverse operations as well as the three direct ones. Venturing into the world of abstract algebra, he studies the behavior of a non-commutative form of multiplication with two inverses. Having allowed his operations to take classes as inputs and t

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Book 2022ons and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C. S. Peirce. Today he still engages the sympathetic interest of logicians and philosophers. .The works translated record Schröder’s journey out of algebra into alg

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Book 2022ders interested in algebraic logic and abstract algebra can look forward to a tour of the early history of those fields with a guide who was exceptionally thorough, unfailingly honest, and deeply reflective..

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https://doi.org/10.1007/978-3-031-59390-1ish “assumptions or premises as clearly as possible and investigate what each of them entails.” He further develops his class-algebra by allowing his operations to have classes as both inputs and outputs.

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The Four Inverse Operations,, he studies the behavior of a non-commutative form of multiplication with two inverses. Having allowed his operations to take classes as inputs and to have classes as outputs even when the inputs are individuals, he develops a powerful apparatus for handling this new class-algebra.

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https://doi.org/10.1007/978-981-99-7566-2ality, and logical subordination (the relation that holds, for example, between a species and its genus). Schröder’s interest in logical topics is evident in his reflections on “general number-signs” or, as we would now say, universally quantified variables.