Possible Worlds presents the first up-to-date and comprehensive examination of one of the most important topics in metaphysics. John Divers considers the prevalent philosophical positions, including realism, antirealism and the work of important writers on possible worlds such as David Lewis, evaluating them in detail.

**“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific AmericanThe Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands**The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract...

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Along with Plato and Socrates, Aristotle (384-322 B.C.) is one of the triumvirate of philosophers responsible for the establishment of Western philosophy as it exists today. Socrates, Plato and Aristotle were among the first to refine philosophical thought, and Socrates is credited with devising the Socratic Method as a way to argue and debate points rationally. The Ancient Greek philosophers further stressed the importance of virtue and stoicism, advocating the improvement of ones self th...

Second edition of the introductory guidebook to the basic principles of constructing sound arguments and criticising bad ones. Non-technical in approach, it is based on 186 examples, which Douglas Walton, a leading authority in the field of informal logic, discusses and evaluates in clear, illustrative detail. Walton explains how errors, fallacies, and other key failures of argument occur. He shows how correct uses of argument are based on sound strategies for reasoned persuasion and criti...

Charles Taylor has been one of the most original and influential figures in contemporary philosophy: his 'philosophical anthropology' spans an unusually wide range of theoretical interests and draws creatively on both Anglo-American and Continental traditions in philosophy. A selection of his published papers is presented here in two volumes, structured to indicate the direction and essential unity of the work. He starts from a polemical concern with behaviourism and other reductionist the...

In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematic...

This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite d...

While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place.Logic is more than ...

This robust, clear, and well-researched textbook for classes in logic introduces students to both formal logic and to the virtues of intellectual inquiry. Part 1 challenges students to develop the analytical skills of deductive and inductive reasoning, showing them how to identify and evaluate arguments. Part 2 helps students develop the intellectual virtues of the wise inquirer. The book includes helpful pedagogical features such as practice exercises and a concluding summary with definit...

This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields ...

Bertrand Russell changed Western philosophy forever. He tackled many puzzles--how our minds work, how we experience the world, and what the true nature of meaning is. In "Introducing Bertrand Russell "we meet a passionate eccentric, active in world politics, who had outspoken views on sex, marriage, religion, and education.