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Author: Alex Citkin Publisher: MDPI ISBN: 303943358X Category : Mathematics Languages : en Pages : 298
Book Description
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Author: Alex Citkin Publisher: MDPI ISBN: 303943358X Category : Mathematics Languages : en Pages : 298
Book Description
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Author: Urszula Wybraniec-Skardowska Publisher: ISBN: 9783039433599 Category : Languages : en Pages : 298
Book Description
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Author: G. Hasenjaeger Publisher: Springer Science & Business Media ISBN: 9401031207 Category : Philosophy Languages : en Pages : 216
Book Description
The field of modern logic is too extensive to be worked through by open cast mining. To open it up, we need to sink shafts and construct adits. This is the method of most text books: a systematic exposition of a number of main topics, supplemented by exercises to teach skill in the appurtenant techniques, lays a secure foundation for subsequent dis cussion of selected questions. Compared with this, the present treatment is more like a network of exploratory drillings to show that it would be worthwhile to start mining operations, or to work the existing shafts and adits, as the case may be. Within this metaphor we may also describe the inherent weakness of this conception: once a cavity is pierced, the duct's capacity will in general not be sufficient to carry away the discovered riches. But whether we are concerned with a new or an already worked mine - at any rate, the experience should stimulate us into either reviving an existing system of shafts or even, in particularly fortunate cases, designing a new ap proach.
Author: Alfred Tarski Publisher: Courier Corporation ISBN: 048628462X Category : Mathematics Languages : en Pages : 271
Book Description
First published in Polish in 1936, this classic work was originally written as a popular scientific book - one that would present to the educated layman a clear picture of certain powerful trends of thought in modern logic.
Author: Publisher: SUNY Press ISBN: 9781438408552 Category : Language Arts & Disciplines Languages : en Pages : 500
Book Description
Clear focus on its application of formal logic to ordinary English is the most distinctive feature of this textbook for the introductory course in deductive logic. Great care is taken with the appropriate translation into logical languages of ordinary English sentences. Evaluation of these translations promotes a more effective use of ordinary language. The Principles of Deductive Logic presents symbolic logic in a fuller and more leisurely fashion than other introductory textbooks. Early chapters cover informal material, including definition and informal fallacies. The remainder of the text is devoted to the treatment of four distinct artificial languages. The Categorical language is the language of syllogistic logic. The Extended Categorical language enriches this first language with the symbolic connectives for conjunction and negation. The Propositional Connective language and the First-Order language (with identity) are the two basic languages of modern logic. Each language is accompanied by a deductive system, and is used as an instrument for exploring ordinary language, including ordinary arguments The book contains a large number of exercises whose answers are supplied in the back of the book, and many more that can be assigned as homework. A solution's manual is available to instructors upon their request. The request must be written on college or university letterhead.
Author: Lukas M. Verburgt Publisher: Bloomsbury Publishing ISBN: 1350228869 Category : Philosophy Languages : en Pages : 333
Book Description
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Author: Michael Wolff Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110785102 Category : Philosophy Languages : en Pages : 438
Book Description
Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common principles. Part I of Wolff’s book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood.
Author: Alex Citkin
Author: Alex Citkin
Author: Urszula Wybraniec-Skardowska
Author: Norman L. Thomas
Author: G. Hasenjaeger
Author: Fred R. Berger
Author: Robert John Ackermann
Author: Alfred Tarski
Author: 
Author: Lukas M. Verburgt
Author: Michael Wolff