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A comprehensive study of the history and development of logic, including its philosophical foundations, major figures, and key concepts. This classic work is a must-read for anyone interested in understanding the nature of reasoning and argumentation. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter
"Everything is contradictory," Hegel declares in Science of Logic. In this analysis of one of the most difficult and neglected topics in Hegelian studies, Songsuk Susan Hahn tackles the status of contradiction in Hegel's thought. Properly philosophical thinking in the Hegelian mode recognizes that contradiction pervades all organic forms of life. Contradiction in Motion presents Hegel's doctrine of contradiction, once widely dismissed, as one deserving serious consideration. The book argues that contradiction is not a sign of error or incoherence, but rather plays an important role in the development of Hegel's system. The first part of the book sets up Hegel's logic of organic wholes in such a way as to motivate his claim that everything is contradictory. Hahn explores how Hegel tests his abstract logical and methodological apparatus against the more concrete, unmanageable aspects of empirical nature. The second and third parts of the book examine the extent to which Hegel's organic model informs his aesthetics and ethics. Hahn reveals the privileged role of art forms in expressing our consciousness of organic unity and shows how Hegel's organic-holistic conception of cognition and nature, with its distinctively contradictory stance, can be incorporated coherently into his ethics.
In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce’s important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be his greatest contribution to human thought. The manuscripts from 1895—1913, most of which are published here for the first time, testify the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories told about the evolution of modern logic. This second volume collects Peirce’s writings on existential graphs related to his Lowell Lectures of 1903, the annus mirabilis of his that became decisive in the development of the mature theory of the graphical method of logic.