What is the nature of time? Does it flow? Do the past and future exist? Drawing connections between historical and present-day questions, A Critical Introduction to the Metaphysics of Time provides an up-to-date guide to one of the most central and debated topics in contemporary metaphysics. Introducing the views and arguments of Parmenides, Plato, Aristotle, Descartes, Newton and Leibniz, this accessible introduction covers the history of the philosophy of time from the Pre-Socratics to the beginning of the 20th Century. The historical survey presents the necessary background to understanding more recent developments, including McTaggart's 1908 argument for the unreality of time, the open future, the perdurance/endurance debate, the possibility of time travel, and the relevance of current physics to the philosophy of time. Informed by cutting-edge philosophical research, A Critical Introduction to the Metaphysics of Time evaluates influential historical arguments in the context of contemporary developments. For students looking to gain insights into how ideas within the philosophy of time have developed and better understand recent arguments, this is the ideal starting point.

This book provides an overall interpretation of Deleuze's philosophy alongside a critical introduction to one of the most important unifying ideas in his work: the construction of new and important philosophies of time.

Throughout his career, Deleuze developed a series of original philosophies of time and applied them successfully to many different fields. Now James Williams presents Deleuze's philosophy of time as the central concept that connects his philosophy as a whole. Through this conceptual approach, the book covers all the main periods of Deleuze's philosophy: the early studies of Hume, Nietzsche, Kant, Bergson and Spinoza, the two great philosophical works, Difference and Repetition and Logic of Sense, the Capitalism and Schizophrenia works with Guattari, and the late influential studies of literature, film and painting.The result is an important reading of Deleuze and the first full interpretation of his philosophy of time.

Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

This is the first comprehensive book on the philosophy of time. Leading philosophers discuss the metaphysics of time, our experience and representation of time, the role of time in ethics and action, and philosophical issues in the sciences of time, especially quantum mechanics and relativity theory.

A Critical Introduction to the Metaphysics of Modality examines the eight main contemporary theories of possibility behind a central metaphysical topic. Covering modal skepticism, modal expressivism, modalism, modal realism, ersatzism, modal fictionalism, modal agnosticism, and the new modal actualism, this comprehensive introduction to modality places contemporary debates in an historical context. Beginning with a historical overview, Andrea Borghini discusses Parmenides and Zeno; looks at how central Medieval authors such as Aquinas, and Buridan prepared the ground for the Early Modern radical views of Leibniz, Spinoza, and Hume and discusses advancements in semantics in the later-half of the twentieth century a resulted in the rise of modal metaphysics, the branch characterizing the past few decades of philosophical reflection. Framing the debate according to three main perspectives - logical, epistemic, metaphysical- Borghini provides the basic concepts and terms required to discuss modality. With suggestions of further reading and end-of-chapter study questions, A Critical Introduction to the Metaphysics of Modality is an up-to-date resource for students working in contemporary metaphysics seeking a better understanding of this crucial topic.