The Fifth Corner of Four: an Essay on Buddhist Metaphysics and the Catuṣkoṭi, Oxford University Press, 2018.
Graham Priest presents an exploration of Buddhist metaphysics, drawing on texts which include those of Nāgārjuna and Dōgen. The development of Buddhist metaphysics is viewed through the lens of the catuṣkoṭi. At its simplest, and as it appears in the earliest texts, this is a logical/metaphysical principle which says that every claim is true, false, both, or neither; but the principle itself evolves, assuming new forms, as the metaphysics develops. An important step in the evolution incorporates ineffability. Such things make no sense from the perspective of a logic which endorses the principles of excluded middle and non-contradiction, which are standard fare in Western logic. However, the book shows how one can make sense of them by applying the techniques of contemporary non-classical logic, such as those of First Degree Entailment, and Plurivalent Logic. An important issue that emerges as the book develops is the notion of non-duality and its transcendence. This allows many of the threads of the book to be drawn together at its end. All matters are explained, in as far as possible, in a way that is accessible to those with no knowledge of Buddhist philosophy or contemporary non-classical logic.
Logic: a Very Short Introduction, Second (extended) edition, Oxford University Press 2017. (First edition, University Press, 2000.)
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-technical terms, showing that logic is a powerful and exciting part of modern philosophy.
Translated into Portuguese as Lógica para Começar, Temas & Debates, 2002. Translated into Spanish as Una Brevísima Introducción a la Lógica, Oceano, 2006. Translated into Czech, as Logica, Dokorán, 2007. Translated into Japanese, Iwanami Shoten, 2008. Translated into Chinese by Yilan Press, 2011. Translated in Farsi, Press?, 2007. Translated into Italian, Condice Edizioni, 2012. Translated into Turkish as Mantik, Dost Kitabevi, 2017.
Towards Non-Being, 2nd (extended) edition. Oxford University Press, 2016. (First edition, Oxford University Press, 2005.)
Towards Non-Being presents an account of the semantics of intentional language–verbs such as ‘believes’, ‘fears’, ‘seeks’, ‘imagines’. Graham Priest tackles problems concerning intentional states which are often brushed under the carpet in discussions of intentionality, such as their failure to be closed under deducibility. Priest’s account draws on the work of the late Richard Routley (Sylvan), and proceeds in terms of objects that may be either existent or non-existent, at worlds that may be either possible or impossible. Since Russell, non-existent objects have had a bad press in Western philosophy; Priest mounts a full-scale defence. In the process, he offers an account of both fictional and mathematical objects as non-existent. The book will be of central interest to anyone who is concerned with intentionality in the philosophy of mind or philosophy of language, the metaphysics of existence and identity, the philosophy or fiction, the philosophy of mathematics, or cognitive representation in AI.
This updated second edition adds ten new chapters to the original eight. These further develop the ideas of the first edition, reply to critics, and explore new areas of relevance. New topics covered include: conceivability, realism/antirealism concerning non-existent objects, self-deception, and the verb to be.
One: Being an Investigation into the Unity of Reality and of its Parts, including the Singular Object which is Nothingness. Oxford University Press, 2014.
An original exploration of philosophical questions concerning the one and the many. Priest 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 draws on ideas from Plato, Heidegger, and Nagarjuna, among other philosophers.
Logic. Sterling [Nook Book], 2010
Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this engaging and accessible introduction, Graham Priest shows how wrong that 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, Priest lays out the basics of formal logic in simple, nontechnical terms.
[Note that this is an illustrated version of Logic: a Very Short Introduction.]
An Introduction to Non-Classical Logic: From If to Is. Cambridge University Press, Second Edition, 2008.
This revised and considerably expanded Second Edition edition 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 explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed.
Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.
Part 1 was published as Introduction to Non-Classical Logic by CUP in 2001, and has been translated into German as Einführung in die nicht-klassische Logik, Mentis, 2008.
Doubt Truth to be a Liar. Oxford University Press, 2006.
Dialetheism is the view that some contradictions are true. This is a view which runs against orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core notions of philosophy.
Doubt Truth to Be a Liar explores these implications for truth, rationality, negation, and the nature of logic, and develops further the defense of dialetheism first mounted in Priest’s In Contradiction.
In Contradiction: A Study of the Transconsistent. Oxford University Press, Second (Extended) Edition, 2006. (First edition, Martinus Nijhoff, 1987.)
This book advocates and defends the view that there are true contradictions (dialetheism), a view that has flown in the face of orthodoxy in Western philosophy since Aristotle’s time.
The book has been at the centre of the controversies surrounding dialetheism ever since the first edition was published in 1987. This text contains the second edition of the book. It expands upon the original in various ways, and also contains the author’s reflections on developments over the last two decades.
Beyond the Limits of Thought. Oxford University Press, Second (extended) Edition, 2002. (First edition published by Cambridge University Press, 1995.)
This is a philosophical investigation of the nature of the limits of thought. Drawing on recent developments in the field of logic, Graham Priest shows that the description of such limits leads to contradiction, and argues that these contradictions are in fact veridical.
Beginning with an analysis of the way in which these limits arise in pre-Kantian philosophy, Priest goes on to illustrate how the nature of these limits was theorised by Kant and Hegel. He offers new interpretations of Berkeley’s master argument for idealism and Kant on the antimonies. He explores the paradoxes of self reference, and provides a unified account of the structure of such paradoxes. The book concludes by tracing the theme of the limits of thought in modern philosophy of language, including discussions of the ideas of Wittgenstein and Derrida.
Translated into Romanian as Dincolo de limitele gândirri (trs. Dimitru Gheorghiu), Paralela 45, 2007. The first edition was published by Cambridge University Press in 1995.
On Paraconsistency (with R. Routley). Research Report #l3, Research School of Social Sciences, Australian National University l983.
Reprinted as the introductory chapters of Paraconsistent Logic, G. Priest, R. Routley and J. Norman (eds.), Philosophia Verlag, 1989. Translated into Romanian as chapters in I. Lucica (ed.), Ex Falso Quodlibet: studii de logica paraconsistenta (in Romanian), Editura Technica, 2004.Download PDF