{"product_id":"the-continuum-a-critical-examination-of-the-foundation-of-analysis-paperback","title":"The Continuum: A Critical Examination of the Foundation of Analysis - Paperback","description":"\u003cp\u003eby \u003cb\u003eHermann Weyl\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe hard won power ... to assess correctly the continuum of the natural numbers grew out of titanic struggles in the realm of mathematical logic in which Hermann Weyl took a leading part. -- John Archibald Wheeler\u003cbr\u003eHermann Weyl (1885-1955) ranks among the most important mathematicians and physicists of this century. Though Weyl was not primarily a philosopher, his wide-ranging philosophical reflections on the formal and empirical sciences remain extremely valuable. Besides indicating clearly which results of classical analysis are invalidated by an important family of non-circular (predicative) theories, \u003ci\u003eThe Continuum \u003c\/i\u003ewrestles with the problem of applying constructive mathematical models to cases of concrete physical and perceptual continuity. This new English edition features a personal reminiscence of Weyl written by John Archibald Wheeler.\u003cbr\u003eOriginally published in German in 1918, the book consists of two chapters. Chapter One, entitled Set and Function, deals with property, relation and existence, the principles of the combination of judgments, logical inference, natural numbers, iteration of the mathematical process, and other topics. The main ideas are developed in this chapter in such a way that it forms a self-contained whole.\u003cbr\u003eIn Chapter Two, The Concept of Numbers \u0026amp; The Continuum, Weyl systematically begins the construction of analysis and carries through its initial stages, taking up such matters as natural numbers and cardinalities, fractions and rational numbers, real numbers, continuous functions, curves and surfaces, and more.\u003cbr\u003eWritten with Weyl's characteristic passion, lucidity, and wisdom, this advanced-level volume is a mathematical and philosophical landmark that will be welcomed by mathematicians, physicists, philosophers, and anyone interested in foundational analysis.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eAlong with his fundamental contributions to most branches of mathematics, Hermann Weyl (1885-1955) took a serious interest in theoretical physics. In addition to teaching in Zürich, Göttingen, and Princeton, Weyl worked with Einstein on relativity theory at the Institute for Advanced Studies. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eHermann Weyl: The Search for Beautiful Truths \u003cbr\u003e\u003c\/b\u003eOne of the most influential mathematicians of the twentieth century, Hermann Weyl (1885-1955) was associated with three major institutions during his working years: the ETH Zurich (Swiss Federal Institute of Technology), the University of Gottingen, and the Institute for Advanced Study in Princeton. In the last decade of Weyl's life (he died in Princeton in 1955), Dover reprinted two of his major works, \u003ci\u003eThe Theory of Groups and Quantum Mechanics\u003c\/i\u003e and \u003ci\u003eSpace, Time, Matter\u003c\/i\u003e. Two others, \u003ci\u003eThe Continuum\u003c\/i\u003e and \u003ci\u003eThe Concept of a Riemann Surface\u003c\/i\u003e were added to the Dover list in recent years. \u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eIn the Author's Own Words: \u003cbr\u003eMy work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful. \u003c\/p\u003e\u003cp\u003eWe are not very pleased when we are forced to accept mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road; we want to understand the idea of the proof, the deeper context. \u003c\/p\u003e\u003cp\u003eA modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details. -- Hermann Weyl \u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eCritical Acclaim for \u003ci\u003eSpace, Time, Matter\u003c\/i\u003e: \u003cbr\u003eA classic of physics . . . the first systematic presentation of Einstein's theory of relativity. -- \u003ci\u003eBritish Journal for Philosophy and Science\u003c\/i\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 176\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 8.4 x 5.4 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 14, 1994\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47379139231922,"sku":"9780486679822","price":9.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/92c2a04adbf395611641a02bfdc3d838.webp?v=1777755177","url":"https:\/\/box.dadyminds.org\/products\/the-continuum-a-critical-examination-of-the-foundation-of-analysis-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}