Overview
- A seminal text that has had a major influence on the development of non-classical logic by a founder of paraconsistent and relevant logic
- Provides an expansive and singular vision of how advances in logic can solve major problems in set theory, arithmetic, probability, and science
- Includes new commentaries alongside the original essay
Part of the book series: Synthese Library (SYLI, volume 396)
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Table of contents (5 chapters)
Keywords
About this book
Ultralogic as Universal? is a seminal text in non-classcial logic. Richard Routley (Sylvan) presents a hugely ambitious program: to use an 'ultramodal' logic as a universal key, which opens, if rightly operated, all locks. It provides a canon for reasoning in every situation, including illogical, inconsistent and paradoxical ones, realized or not, possible or not. A universal logic, Routley argues, enables us to go where no other logic—especially not classical logic—can.
Routley provides an expansive and singular vision of how a universal logic might one day solve major problems in set theory, arithmetic, linguistics, physics, and more. It circulated in typescript in the late 1970s before appearing as the Appendix to Exploring Meinong's Jungle and Beyond. With engaging, forceful prose, unsparing criticism of entrenched institutions, and many tantalizing proof sketches (is the Axiom of Choice a theorem of naive set theory?), Ultralogic? has had a major influence on the development of paraconsistent and relevant logic.
This new edition makes this work available for a modern audience, newly typeset and corrected, along with extensive notes, and new commentary essays.
Authors, Editors and Affiliations
About the editor
Zach Weber is a senior lecturer in philosophy at the University of Otago. His work is on paraconsistent logic and its applications in mathematics and philosophy.
Bibliographic Information
Book Title: Ultralogic as Universal?
Book Subtitle: The Sylvan Jungle - Volume 4
Authors: Richard Routley
Editors: Zach Weber
Series Title: Synthese Library
DOI: https://doi.org/10.1007/978-3-319-91974-4
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-91973-7Published: 21 May 2019
eBook ISBN: 978-3-319-91974-4Published: 08 May 2019
Series ISSN: 0166-6991
Series E-ISSN: 2542-8292
Edition Number: 1
Number of Pages: XXXII, 205
Topics: Logic, Mathematical Logic and Foundations, Semantics, Epistemology, Philosophy of Science