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Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into ten languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The Philadelphia Inquirer praised it as "absolutely ...

Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into ten languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The Philadelphia Inquirer praised it as "absolutely scintillating." In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the "Republic of Numbers," where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. "Less than All," wrote William Blake, "cannot satisfy Man." The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

Offering both the first major revision of satiric rhetoric in decades and a critical account of the modern history of satire criticism, Fredric V. Bogel maintains that the central structure of the satiric mode has been misunderstood. Devoting attention to Augustan satiric texts and other examples of ...

Offering both the first major revision of satiric rhetoric in decades and a critical account of the modern history of satire criticism, Fredric V. Bogel maintains that the central structure of the satiric mode has been misunderstood. Devoting attention to Augustan satiric texts and other examples of satire -- from writings by Ben Jonson and Lord Byron to recent performance art -- Bogel finds a complicated interaction between identification and distance, intimacy and repudiation.

Drawing on anthropological insights and the writings of Kenneth Burke, Bogel articulates a rigorous, richly developed theory of satire. While accepting the view that the mode is built on the tension between satirist and satiric object, he asserts that an equally crucial relationship between the two is that of intimacy and identification; satire does not merely register a difference and proceed to attack in light of that difference. Rather, it must establish or produce difference.

The book provides fresh analyses of eighteenth-century texts by Jonathan Swift, John Gay, Alexander Pope, Henry Fielding, and others. Bogel believes that the obsessive play between identification and distance and the fascination with imitation, parody, and mimicry which mark eighteenth-century satire are part of a larger cultural phenomenon in the Augustan era -- a questioning of the very status of the category and of categorical distinctness and opposition.

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the ...

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic