The Mathematical Theories of Logic and Probabilities

An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities by George Boole, first published in 1854, is the second of Boole's two monographs on algebraic logic. Boole's work founded the discipline of algebraic logic, and is often credited as being the source of what we know today as Boolean algebra. Boole was a professor of mathematics at what was then Queen's College, Cork (now University College Cork), in Ireland. At the age of twenty, George Boole taught himself mathematics, then worked his way through the mathematics of his day, published papers in a wide range of mathematical fields, until, in this remarkably accessible seminal work, he laid down postulates and axioms for logic for the first time - just as Euclid had done for geometry. Boolean algebra has become the basis for practical digital circuit design; thus Boole has provided the theoretical grounding for the Information Age. "A classic of pure mathematics and symbolic logic"- Scientific American. Pure mathematics was discovered by George Boole in his work published in 1854. -Bertrand Russell. This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.