This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics ...(展开全部)

This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics ...(展开全部)

The problem of representation - that the representation of a concept can never be that concept - is a version of the enduring philosophical problem of the difference between appearance and its underlying reality. Examining how the limitations of representation have been discussed from Kant up through Marxist theorists of postmodernism, The Abyss of Representation illuminates th...(展开全部)

An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range...(展开全部)

Many of the great minds of the past used mathematics to explore and then define the principal laws of nature. In this way

Many of the great minds of the past used mathematics to explore and then define the principal laws of nature. In this way

An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range...(展开全部)

The Roots of Normativity concerns one of the most basic philosophical questions: how to explain normativity in its many guises. Over many decades, Joseph Raz has sought to develop an answer to this question, according to which understanding normativity is understanding the roles and structures of normative reasons which, when they are reasons for action, are based on values. Th...(展开全部)

"Our only channel of information about the world is the impact of external forces on our sensory surfaces. So says science itself. There is no clairvoyance. How, then, can we have parlayed this meager sensory input into a full-blown scientific theory of the world? This is itself a scientific question. The pursuit of it, with free use of scientific theory, is what I call natural...(展开全部)

The Roots of Normativity concerns one of the most basic philosophical questions: how to explain normativity in its many guises. Over many decades, Joseph Raz has sought to develop an answer to this question, according to which understanding normativity is understanding the roles and structures of normative reasons which, when they are reasons for action, are based on values. Th...(展开全部)