Logic Without Gaps or Gluts - Benjamin Alan Burgis

Logic Without Gaps or Gluts

How to Solve the Paradoxes Without Sacrificing Classical Logic
Buch | Softcover
VII, 189 Seiten
2023 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-94626-5 (ISBN)
106,99 inkl. MwSt
This book offers a defense against non-classical approaches to the paradoxes. 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.

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.

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.

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.

Erscheinungsdatum
Reihe/Serie Synthese Library
Zusatzinfo VII, 189 p. 1 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 314 g
Themenwelt Geisteswissenschaften Philosophie Allgemeines / Lexika
Geisteswissenschaften Philosophie Logik
Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Allgemeines / Lexika
Schlagworte Curry's paradox • Dialetheism Excluded Middle • disquotationalism • Graham Priest • Hartry Field • JC Beall • law of excluded middle • law of non-contradiction • Law of the Excluded Middle • Laws of Logic • Liar paradox • Logical Monism • logical pluralism • Paracompleteness • Paraconsistency • paraconsistent logic • Paradoxes of Motion and Change • Paradoxes of Self-reference • Semantic Paradox • Set-Theoretic Paradoxes
ISBN-10 3-030-94626-6 / 3030946266
ISBN-13 978-3-030-94626-5 / 9783030946265
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