Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-tech...

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-tech...

Graham Priest presents an original exploration of philosophical questions concerning the one and the many. He covers a wide range of issues in metaphysics--including unity, identity, grounding, mereology, universals, being, intentionality, and nothingness--and deploys the techniques of paraconsistent logic in order to offer a radically new treatment of unity. Priest brings together traditions of Western and Asian thought that are usually kept separate in academic philosophy: he dr...

Mathematical pluralism is the view that there is an irreducible plurality of pure mathematical structures, each with their own internal logics; and that qua pure mathematical structures they are all equally legitimate. Mathematical pluralism is a relatively new position on the philosophical landscape. This Element provides an introduction to the position.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-tech...

This revised and considerably expanded 2nd edition, published in 2008, brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are exp...

The bayonet was originally developed in the seventeenth century in its early ‘plug’ form, probably as a hunting ancillary. From this starting point it became a military success, helping to abolish the pike as a British army weapon. Innovative technologies were used to allow both bayonet and musket to be used together, by adoption of a socket, and the use of this weapon in many European wars during the early eighteenth century influenced its international prestige. In the nineteenth century...

A Dictionary of Logic expands on Oxford's coverage of the topic in works such as The Oxford Dictionary of Philosophy, The Concise Oxford Dictionary of Mathematics, and A Dictionary of Computer Science. Featuring more than 450 entries primarily concentrating on technical terminology, the history of logic, the foundations of mathematics, and non-classical logic, this dictionary is an essential resource for both undergraduates and postgraduates studying phi...

Is it possible for reality as a whole to be part of itself? Can the world appear within itself without thereby undermining the consistency of our thought and knowledge-claims concerning more local matters of fact?This is a question on which Markus Gabriel and Graham Priest disagree. Gabriel argues that the world cannot exist precisely because it is understood to be an absolutely totality. Priest responds by developing a special form of mereology according to which reality is a sing...

Typically, in the Western philosophical tradition, the presence of paradox and contradictions is taken to signal the failure or refutation of a theory or line of thinking. This aversion to paradox rests on the commitment-whether implicit or explicit-to the view that reality must be consistent. In What Can't be Said, Yasuo Deguchi, Jay L. Garfield, Graham Priest, and Robert H. Sharf extend their earlier arguments that the discovery of paradox and contradiction can deepen rather tha...

This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in...

Socrates, an Athenian soldier, was a calmly efficient killing machine. His student Plato was an accomplished and broad-shouldered wrestler. Martial arts and philosophy have always gone hand in hand, as well as fist in throat. Philosophical argument is closely parallel with hand-to-hand combat. And all of today’s Asian martial arts-like Karate, Kung-Fu, Judo, or Aikido-were developed to embody and apply philosophical ideas.The Japanese martial tradition of Budo, for instance, was inf...