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 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.
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.
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.
This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty. Biological, cognitive, physical, engineering and societal systems are approached from a unifying point of view, both analytically and by numerical simulation, using the methods of nonlinear dynamics and probability theory. Epistemological issues in connection with incompleteness and self-reference are also addressed.
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.
A reprint of the Bobbs-Merrill edition of 1970. These essays lead the reader through the land of the wonderful shrinking genie to the warehouse where the infinity machines are kept. By careful examination of a lamp that is switched on and off infinitely many times, or the workings of a machine that prints out an infinite decimal expansion of pi, we begin to understand how it is possible for Achilles to overtake the tortoise. The concepts that form the basis of modern science---space, time, motion, change, infinity---are examined and explored in this edition. Includes an updated bibliography.
Each of the characters in 'The Palomar Paradox' deals with the Search for Extraterrestrial Intelligence (SETI) in their own way. As in real life, some believe; others don't want you to believe. 'The Palomar Paradox' sees Luper Beauchamps, a brilliant scientist, back in an astronomical observatory searching for signs of extraterrestrial intelligence. He finds himself working with Leila Keiler, a young student recovering from leukaemia, and Karina Lowenhaupt, an experienced astronomer. Other characters include, Trent Foresyth, a senior Pentagon official, and his intern, Rihanna Sorensen. They are charged chiefly with quashing all reports of, and evidence for, extraterrestrial activity.