![]() 495 BCE), although this theory is disputed by some. Some sources claim the term was coined by Pythagoras ( c. No extensive training in mathematical logic itself is required on the reader's part: the book will thus prove valuable in philosophical development and the history of Western ideas.Philosophy (from Greek: φιλοσοφία, philosophia, 'love of wisdom') is the systematized study of general and fundamental questions, such as those concerning existence, reason, knowledge, values, mind, and language. The final chapter fiscusses the contributions of Jevons, Schröder, Peirce (“the father of semantics”), Frege, and Peano. ![]() Boole himself, and his Calculus of Classes., is the subject of a full chapter. Hamilton and Drobisch is seen as an anticipation of that of Boole. Next, the Logic of Relations of Johann Lambert and the intentional Logical Calculuses of Maimon and Castillon are discussed. The direct forerunners of Leibniz himself, especially his methodological principles and the three stages in the development of his Logical Calculus. The author's main attention is devoted to the development of logical symbolism (paralleling the earlier rise of algebraic symbolism) that could be used to treat in a mathematically formal way the deductive parts of classical Aristotelian logic.Īn introductory chapter sets the stage for the advent of the scientific era and reviews the state of logic as it emerged from the Middle Ages of special interest is the treatment of modal logic and the theory of semantic paradoxes. The method of the history is dual in approach and moves in contrary motion one approach follows the logical (is sometimes devious) development of the subject from the past toward the present, the other traces back the essential concepts of modern logic to their sources in the past. The purpose of this history is to present the development of mathematical logic up to its critical stage after which such work as Russel and Whitehead's Principia Mathematica could proceed apace. The flourishing of mathematical logic in the twentieth century into its present state as a vigorous, self-sustaining branch of modern mathematics could not have come about without the careful nurturing of its conceptual roots in the several centuries preceding. If you can’t find the resource you need here, visit our contact page to get in touch.Įstablished in 1962, the MIT Press is one of the largest and most distinguished university presses in the world and a leading publisher of books and journals at the intersection of science, technology, art, social science, and design. The MIT Press has been a leader in open access book publishing for over two decades, beginning in 1995 with the publication of William Mitchell’s City of Bits, which appeared simultaneously in print and in a dynamic, open web edition.Ĭollaborating with authors, instructors, booksellers, librarians, and the media is at the heart of what we do as a scholarly publisher. Today we publish over 30 titles in the arts and humanities, social sciences, and science and technology. ![]() MIT Press began publishing journals in 1970 with the first volumes of Linguistic Inquiry and the Journal of Interdisciplinary History. International Affairs, History, & Political Science. ![]() MIT Press Direct is a distinctive collection of influential MIT Press books curated for scholars and libraries worldwide.
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