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The Algebra of Logic: Large Print By Louis Couturat The algebra of logic was founded by George Boole (1815-1864); it was developed and perfected by Ernst Schroder (1841-1902) The fundamental laws of this calculus were devised to express the principles of reasoning, the laws of thought But this calculus may be considered from the purely formal point of view, which is that of mathematics, as an algebra based upon certain principles arbitrarily laid down It belongs to the realm of philosophy to decide whether, and in what measure, this calculus corresponds to the actual operations of the mind, and is adapted to translate or even to replace argument; we cannot discuss this point here The formal value of this calculus and its interest for the mathematician are absolutely independent of the interpretation given it and of the application which can be made of it to logical problems In short, we shall discuss it not as logic but as algebra. Contents Preface Bibliography Introduction The Two Interpretations of the Logical Calculus Relation of Inclusion Definition of Equality Principle of Identity Principle of the Syllogism Multiplication and Addition Principles of Simplification and Composition The Laws of Tautology and of Absorption Theorems on Multiplication and Addition The First Formula for Transforming Inclusions into Equalities The Distributive Law Definition of 0 and 1 The Law of Duality Definition of Negation The Principles of Contradiction and of Excluded Middle Law of Double Negation Second Formulas for Transforming Inclusions into Equalities The Law of Couturat Postulate of Existence The Development of 0 and of 1 Properties of the Constituents Logical Functions The Law of Development The Formulas of De Morgan Disjunctive Sums Properties of Developed Functions The Limits of a Function Formula of Poretsky Schroder's Theorem The Resultant of Elimination The Case of Indetermination Sums and Products of Functions. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

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