Ultralogic as universal?
Author(s)
Bibliographic Information
Ultralogic as universal?
(Synthese library, 396 . The Sylvan jungle ; v. 4)
Springer, c2019
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Note
"With notes and commentaries."
Bibliography: p. 195-202
Includes index
Description and Table of Contents
Description
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.
Table of Contents
Table of Contents
Contributors
Editor's Introduction by Zach Weber
Preface to the transcription
Chapter 1. Ultralogic as universal?
Richard Routley
Chapter 2. Notes on the text
Richard Routley
Chapter 3. The Universality of Relevance
Edwin Mares
Chapter 4. On The Law of Excluded Middle
Ross T. Brady
Chapter 5. Implication Principles in Routley Arithmetic
Chris Mortensen
Bibliography
Index
by "Nielsen BookData"