Alexander George

Daniel J. Velleman

Philosophies of Mathematics

Philosophers answer your questions about love, nothingness, and everything else

What Would Socrates Say?

Alexander George’s lucid interpretation of Hume’s “Of Miracles” provides fresh insights into this provocative text, explaining the concepts and claims involved. He also shows why Hume’s argument fails to engage with committed religious thought and why philosophical argumentation so often proves ineffective in shaking people’s deeply held beliefs.

Hume on Miracles

The Everlasting Check

The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.

Mathematics and Mind

What Would Socrates Say? helps the armchair philosopher solve age-old quandaries and contemporary ethical dilemmas. - If no one ever loves me during my lifetime—if I don’t have a relationship—will I have not lived a good life? - Do the advances in the field of biotechnology threaten our moral values? - Are there any reasons to have a child that aren’t selfish? - Is there no such thing as bad art? - What’s the difference between a terrorist and a freedom fighter? - Am I morally bound to tell my sex partner if I fantasize about someone else while making love to him or her? These are among the profound, paradoxical, playful, and classic questions asked and answered in this book drawn from AskPhilosophers.org, the popular website created by some of today’s most highly esteemed philosophers. Using their knowledge of the arguments laid down by the likes of Aristotle, Camus, Locke, and Socrates, and their own insightful interpretations, they break down tough issues in a digestible, personal, and even humorous style. Included are questions on today’s hot-button topics (war, euthanasia); timeless conundrums about religion and morality (how do we know God exists?); personal perplexities about adultery, child-rearing, and sex; and a few lighthearted topics like whether it’s right to let your kids believe in Santa. Featuring real questions from real people around the world—doctors, lawyers, the uneducated, the elderly, and even young children (for example, “If everything has an opposite, like night and day, then what’s the opposite of a banana?”)—this book is for anyone seeking enlightenment on a complicated or an elusive concept relevant to the lives we lead today. Whether you agree with the answers given or not, this book reminds us of Socrates’ famous words—“a life unexamined is not worth living”—and, in doing so, encourages us to think a little more deeply, a little more critically, and, well, a little more philosophically about how we make our way in the world From the Hardcover edition.

Philosophers tackle questions about love, nothingness, and everything else.

Dieses Buch blickt in eine bedeutende Epoche der Philosophie der Mathematik zurück, deren Strömungen die heutige Gestalt der Mathematik prägten. In der Wende vom 19. zum 20. Jahrhundert befand sich die Mathematik in einem fundamentalen Umbruch, der die Mathematiker dieser Zeit herausforderte. Sie mussten Stellung beziehen. Die Grundsätze und Wege der philosophischen Richtungen, die dieses Buch verständlich, kritisch und anerkennend beschreibt, wurden von Mathematikern formuliert. Eine Zeit gravierender Disharmonien begann, die bis in Streit und Feindschaften mündeten und zugleich faszinierende und fruchtbare Ergebnisse hervorbrachten, mathematisch wie philosophisch. Es war ein aufregendes, intellektuelles Abenteuer zu Beginn des 20. Jahrhunderts auf einem außergewöhnlich scharfsinnigen und kreativen Niveau. Die Debatte über die unversöhnlichen Ansichten versiegte allmählich und inzwischen ist wieder relative Ruhe in die Gemeinde der Mathematiker eingekehrt. Zentrale philosophische Fragen aber, die damals die Protagonisten spalteten, sind nach wie vor unbeantwortet. Die Suche nach dem Wesen der Mathematik geht weiter und greift auf die Ideen dieser Kontroversen zurück.

Logizismus, Intuitionismus, Finitismus, Gödel'sche Unvollständigkeitssätze

Zur Philosophie der Mathematik

Philosophers from around the globe answer some of life's most baffling questions, furnishing insights into such topics as war, art, love, sex, suicide, God, and natural disasters, while offering a clear study of complex philosophical concepts.

Alexander George

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