The Gamma Paradoxes

The Gamma Paradoxes

Author: Jeremy Kirby

Publisher: Lexington Books

Published: 2018-04-24

Total Pages: 189

ISBN-13: 1498540376

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In this book, Jeremy Kirby analyzes Book Gamma of Aristotle's Metaphysics and introduces the debates (or paradoxes as he refers to them) such as relativism versus the idea of a ready-made world, the possibility of true contradictions, the nature and possibility of metaphysics, the limits of thought, and logic.


The Paradoxical Brain

The Paradoxical Brain

Author: Narinder Kapur

Publisher: Cambridge University Press

Published: 2011-07-21

Total Pages: 489

ISBN-13: 1139495798

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The Paradoxical Brain focuses on a range of phenomena in clinical and cognitive neuroscience that are counterintuitive and go against the grain of established thinking. The book covers a wide range of topics by leading researchers, including: • Superior performance after brain lesions or sensory loss • Return to normal function after a second brain lesion in neurological conditions • Paradoxical phenomena associated with human development • Examples where having one disease appears to prevent the occurrence of another disease • Situations where drugs with adverse effects on brain functioning may have beneficial effects in certain situations A better understanding of these interactions will lead to a better understanding of brain function and to the introduction of new therapeutic strategies. The book will be of interest to those working at the interface of brain and behaviour, including neuropsychologists, neurologists, psychiatrists and neuroscientists.


Saving Truth From Paradox

Saving Truth From Paradox

Author: Hartry Field

Publisher: OUP Oxford

Published: 2008-03-06

Total Pages: 432

ISBN-13: 0191528161

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Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.


The Gamma Paradoxes

The Gamma Paradoxes

Author: Jeremy Kirby

Publisher:

Published: 2018

Total Pages: 0

ISBN-13: 9781498540360

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In the fourth book, Book Gamma, of his Metaphysics, Aristotle treats the nature and range of science, outlines an approach to ontology, formulates and defends first principles, articulates an influential conception of truth, and defends his views against his relativist contemporaries. In The Gamma Paradoxes, Jeremy Kirby analyzes Book Gamma and introduces debates-or paradoxes-such as relativism versus the idea of a ready-made world, the possibility of true contradictions, the nature and possibility of metaphysics, and the limits of thought and logic. These paradoxes raise issues of contemporary interest: that which may be known a priori; the relationship between mind, language, and world; and, inter alia, the values of logic. Book Gamma is the mise-en-scène for Aristotle's investigation into the perennial question, the nature of substance, and the denouement, as unmoved mover. Book jacket.


The Concept of Motion in Ancient Greek Thought

The Concept of Motion in Ancient Greek Thought

Author: Barbara M. Sattler

Publisher: Cambridge University Press

Published: 2021-10-31

Total Pages: 437

ISBN-13: 9781108745215

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This book examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a consistent account of motion, and which mathematical notions were introduced to gain control over conceptual problems of motion. It shows how the idea of motion raised two fundamental problems in the 5th and 4th century BCE: bringing together being and non-being, and bringing together time and space. The first problem leads to the exclusion of motion from the realm of rational investigation in Parmenides, the second to Zeno's paradoxes of motion. Methodological and logical developments reacting to these puzzles are shown to be present implicitly in the atomists, and explicitly in Plato who also employs mathematical structures to make motion intelligible. With Aristotle we finally see the first outline of the fundamental framework with which we conceptualise motion today.


Paradox and Paraconsistency

Paradox and Paraconsistency

Author: John Woods

Publisher: Cambridge University Press

Published: 2003

Total Pages: 384

ISBN-13: 9780521009348

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In a world plagued by conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible systems. This original book explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.


The Sorites Paradox

The Sorites Paradox

Author: Sergi Oms

Publisher: Cambridge University Press

Published: 2019-10-10

Total Pages: 345

ISBN-13: 1107163994

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Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.


Paradoxes In Immunology

Paradoxes In Immunology

Author: Geoffrey W. Hoffman

Publisher: CRC Press

Published: 2019-08-15

Total Pages: 357

ISBN-13: 100069397X

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First published in 1986: Paradoxes play a key role in the advancement of science. They are associated with excitement, and with the knowledge that we must be looking at something the wrong way. This book discusses in detail Paradoxes in Immunology.