Logic A History Of Its Central Concepts

The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

The A to Z of Logic introduces the central concepts of the field in a series of brief, non-technical, cross-referenced dictionary entries. The 352 alphabetically arranged entries give a clear, basic introduction to a very broad range of logical topics. Entries can be found on deductive systems, such as propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and paraconsistent logic. Similarly, there are entries on topics relating to those previously mentioned such as negation, conditionals, truth tables, and proofs. Historical periods and figures are also covered, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Gödel, and Quine. There are even entries relating logic to other areas and topics, like biology, computers, ethics, gender, God, psychology, metaphysics, abstract entities, algorithms, the ad hominem fallacy, inductive logic, informal logic, the liar paradox, metalogic, philosophy of logic, and software for learning logic. In addition to the dictionary, there is a substantial chronology listing the main events in the history of logic, an introduction that sketches the central ideas of logic and how it has evolved into what it is today, and an extensive bibliography of related readings. This book is not only useful for specialists but also understandable to students and other beginners in the field.

Human cultures generate meanings, and the history of ideas, broadly conceived, is the study of these meanings. An adequate theory of culture must therefore rest on a suitable philosophical enquiry into the nature of the history of ideas. Mark Bevir's book explores the forms of reasoning appropriate to the history of ideas, enhancing our understanding by grappling with central questions such as: What is a meaning? What constitutes objective knowledge of the past? What are beliefs and traditions? How can we explain why people held the beliefs they did? The book ranges widely over issues and theorists associated with post-analytic philosophy, post-modernism, hermeneutics, literary theory, political thought, and social theory.

The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.

This book is a collection of rare material regarding logical and analytic-philosophical traditions in Central and Eastern European countries, covering the period from the late nineteenth century to the early twenty-first century. An encyclopedic feature covers the history of l...

This indispensable volume adds for the first time a comprehensive anthology of the most important of Martin Heidegger's recently discovered early essays. Translated by preeminent Heidegger scholars, these supplements to Heidegger's published corpus are drawn from his long series of early experimental, constantly supplemental attempts at rethinking philosophy. Written during 1910–1925, they precede Being and Time and point beyond to Heidegger's later writings, when his famous "turn" took, in part, the form of a "return" to his earliest writings. Included are discussions of Nietzschean modernism, the mind's intentional relation to being and the problem of the external world, the concept of time in the human and natural sciences, the medieval theory of the categories of being, Jaspers's Kierkegaardian philosophy of existence and its relation to Husserl's phenomenology, being and factical life in Aristotle, the being of man and God in Luther's primal Christianity, and the relevance of Dilthey's philosophy of history for a new conception of ontology. A detailed chronological overview of Heidegger's early education, teaching, research, and publications is also included.

This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.

While social scientists and historians have been exchanging ideas for a long time, they have never developed a proper dialogue about social theory. William H. Sewell Jr. observes that on questions of theory the communication has been mostly one way: from social science to history. Logics of History argues that both history and the social sciences have something crucial to offer each other. While historians do not think of themselves as theorists, they know something social scientists do not: how to think about the temporalities of social life. On the other hand, while social scientists’ treatments of temporality are usually clumsy, their theoretical sophistication and penchant for structural accounts of social life could offer much to historians. Renowned for his work at the crossroads of history, sociology, political science, and anthropology, Sewell argues that only by combining a more sophisticated understanding of historical time with a concern for larger theoretical questions can a satisfying social theory emerge. In Logics of History, he reveals the shape such an engagement could take, some of the topics it could illuminate, and how it might affect both sides of the disciplinary divide.