Proof and other dilemmas

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Sixteen original essays provide a sampler of current topics in the philosophy of mathematics, from the nature of mathematical objects (How can one tell when one mathematical object is really the same as another?) to the boundaries between mathematics and other disciplines (What does one relegate to "applied" mathematics?). The essays by a broad range of mathematicians and philosophers of mathematics offer the most recent thinking on emerging questions in mathematics and philosophy as well as on classical topics, from the problem of "What is mathematics?" to the nature of proof and probabilities. The material is accessible to anyone who has been thinking about or would like an introduction to the philosophy of mathematics.