The Road to Universal Logic
Title | The Road to Universal Logic PDF eBook |
Author | Arnold Koslow |
Publisher | Springer |
Total Pages | 520 |
Release | 2014-10-10 |
Genre | Mathematics |
ISBN | 3319101935 |
This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
The Road to Universal Logic
Title | The Road to Universal Logic PDF eBook |
Author | Arnold Koslow |
Publisher | Birkhäuser |
Total Pages | 604 |
Release | 2015-06-10 |
Genre | Mathematics |
ISBN | 3319153684 |
This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.
The Road to Universal Logic
Title | The Road to Universal Logic PDF eBook |
Author | Arnold Koslow |
Publisher | |
Total Pages | 534 |
Release | 2014-10-31 |
Genre | |
ISBN | 9783319101941 |
The Road to Universal Logic
Title | The Road to Universal Logic PDF eBook |
Author | Arnold Koslow |
Publisher | |
Total Pages | |
Release | 2015 |
Genre | |
ISBN |
Universal Logic, Ethics, and Truth
Title | Universal Logic, Ethics, and Truth PDF eBook |
Author | Timothy J. Madigan |
Publisher | Springer Nature |
Total Pages | 296 |
Release | |
Genre | |
ISBN | 3031444612 |
From Frege to Gödel
Title | From Frege to Gödel PDF eBook |
Author | Jean van Heijenoort |
Publisher | Harvard University Press |
Total Pages | 684 |
Release | 1967 |
Genre | Mathematics |
ISBN | 9780674324497 |
Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.
Universal Logic
Title | Universal Logic PDF eBook |
Author | Ross Brady |
Publisher | Stanford Univ Center for the Study |
Total Pages | 346 |
Release | 2006 |
Genre | Mathematics |
ISBN | 9781575862552 |
This work conceptualizes a new logic, where the main inference connective is understood as meaning containment. Classical logic plays a restricted role, applying to classical sentences, while the new logic is studied in depth with chapters on semantics, proof theory, and properties. Based on this logic, simple consistency is proved for naive class theory, also in conjunction with classical theories such as a Z-F-style set theory. This book shows how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.