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Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much de...
Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolute generality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semanticindeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety of approaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws ahelpful map of the philosophical terrain.
The thesis of mental fragmentation has recently attracted increased attention as a way of explaining facts about mind and language. This volume provides an accessible introduction and essays on foundations and applications of fragmentation.
Articulates and defends a novel theory of properties and propositions, based on Frege's insight that properties are not objects.
Philosophical questions regarding the nature and methodology of philosophical inquiry have garnered much attention in recent years. Perhaps nowhere are these discussions more developed than in relation to the field of metaphysics. The Routledge Handbook of Metametaphysics is an outstanding reference source to this growing subject. It comprises thirty-eight chapters written by leading international contributors, and is arranged around five themes: • The history of metametaphysics • Neo-Quineanism (and its objectors) • Alternative conceptions of metaphysics • The epistemology of metaphysics • Science and metaphysics. Essential reading for students and researchers in metaphysics, philosophical methodology, and ontology, The Routledge Handbook of Metametaphysics will also be of interest to those in closely related subjects such as philosophy of language, logic, and philosophy of science.
This volume explores the use of higher-order logics in metaphysics. Higher-order logics are natural extensions of the common systems of predicate logic, with a history going back to the very beginnings of formal logic. Such logics are well suited to formalize metaphysical views and arguments. Over the last decade, there has been a resurgence of interest in higher-order metaphysics. Seventeen original essays are grouped under five headings. Three introductory chapters present higher-order languages and motivate their use in metaphysics. Three chapters on pure higher-order metaphysics discuss different options of higher-order languages and logics which may be used in metaphysics. Three chapters on applied higher-order metaphysics consider the application of higher-order logic to various central topics of metaphysics. Three historical chapters trace the development of higher-order logic as it relates to metaphysics over the last 150 years. The volume concludes with a discussion, containing two chapters criticizing the use of higher-order logic in metaphysics, as well as responses to these criticisms by two authors.
Oxford Studies in Metaphysics is the forum for the best new work in this flourishing field. Much of the most interesting work in philosophy today is metaphysical in character: this series is a much-needed focus for it.
Octavio Alberola has spent over eighty years thinking, living, and formulating his life from an anarchist perspective. He belongs to a generation of protagonists in some of the twentieth century’s most notable events: the Spanish Revolution, the dictatorship of General Francisco Franco, the internal conflicts of the international anarchist movement, and the great social struggles around the world. He was exiled to Mexico as a youth, and knows the precariousness of a life lived underground. His acquaintances include García Oliver, Che Guevara, Cipriano Mera, Federica Montseny, Félix Guattari, Daniel Cohn-Bendit, Régis Debray, Stuart Christie, Rigoberta Menchú, and Giangiacomo Feltrinelli. In this remarkable, layered biography, Agustín Comotto sits you at the feet of a veteran militant, as content to recall dramatic exploits as to discuss art, physics, family life, or political history. Born in 1928 and active in social struggles since he was a teenager, Alberola conveys hard-earned lessons. Most important of all: never countenance pessimism.
What sorts of alien languages can there be? And might reality be such that some alien language represents reality better than familiar languages do? Alien languages are here languages that use different kinds of semantic tools than any familiar languages use. The question of the existence of alien languages is interesting in itself: what kinds of languages are possible? But attending to the issue of alien languages also problematizes the relationship between language and reality, and highlights the possibility that reality could have a fundamentally different structure than we otherwise take it to have. Despite the foundational significance of these questions, they have received virtually no...