Logic Without Gaps or Gluts: How to Solve the Paradoxes Without Sacrificing Classical Logic

Author:   Benjamin Alan Burgis
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   458
ISBN:  

9783030946234


Pages:   189
Publication Date:   26 February 2022
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Logic Without Gaps or Gluts: How to Solve the Paradoxes Without Sacrificing Classical Logic


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Overview

This book offers a defense against non-classical approaches to the paradoxes. The author argues that, despite appearances, the paradoxes give no reason at all to reject classical logic. In fact, he believes classical solutions fare better than non-classical ones with respect to key tests like Curry’s Paradox, a Liar-like paradox that dialetheists are forced to solve in a way totally disjoint from their solution to the Liar. Graham Priest’s In Contradiction was the first major work that advocated the use of non-classical approaches. Since then, these views have moved into the philosophical mainstream. Much of this movement is fueled by a widespread sense that these logically heterodox solutions get to the real nub of the issue. They lack the ad hoc feel of many other solutions to the paradoxes. The author believes that it's long past time for a response to these attacks against classical orthodoxy. He presents a non-logically-revisionary solution to the paradoxes. This title offers a literal way of cashing out the disquotation metaphor. While the details of the view are novel, the idea has a pre-history in the relevant literature. The author examines objections in detail. He rejects each in turn and concludes by comparing the virtues of his logically orthodox approach with those of the paraconsistent and paracomplete competition.

Full Product Details

Author:   Benjamin Alan Burgis
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   458
Weight:   0.471kg
ISBN:  

9783030946234


ISBN 10:   3030946231
Pages:   189
Publication Date:   26 February 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1. Logic and the Liar Paradox.- Chapter 2. Graham Priest and Dialetheism.- Chapter 3. How to Solve Priest’s Paradoxes Without Sacrificing Classical Logic.- Chapter 4. Dialetheism and the Laws of Logic.- Chapter 5. Dialetheism, Rejection, and Curry’s Paradox.- Chapter 6. Dialetheism, Rejection, and Probability Theory.- Chapter 7. Hartry Field and Paracompleteness.- Chapter 8. How to Solve the Liar Paradox Without Sacrificing Classical Logic.- Index.

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Author Information

Ben Burgis holds a Ph.D. from the University of Miami. He works in philosophy of logic and philosophy of language with a particular focus on the semantic paradoxes and the debate between logical pluralism and logical monism.

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