Philosophy of Mathematics in the Twentieth Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Mathematics in the Twentieth Century write by Charles Parsons. This book was released on 2014-03-10. Philosophy of Mathematics in the Twentieth Century available in PDF, EPUB and Kindle. In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Philosophy of Science, Logic and Mathematics in the Twentieth Century
Philosophy of Science, Logic and Mathematics in the Twentieth Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Science, Logic and Mathematics in the Twentieth Century write by Stuart Shanker. This book was released on 2003. Philosophy of Science, Logic and Mathematics in the Twentieth Century available in PDF, EPUB and Kindle. First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Mathematics in Twentieth-Century Literature & Art
Mathematics in Twentieth-Century Literature & Art - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Twentieth-Century Literature & Art write by Robert Tubbs. This book was released on 2014-07-03. Mathematics in Twentieth-Century Literature & Art available in PDF, EPUB and Kindle. The author of What Is a Number? examines the relationship between mathematics and art and literature of the 20th century. During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it coincidence, or were these artists following their instincts, which were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts? In this exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, this book will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art. “Though the content of Tubbs’s book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts.” —Choice
Philosophy of Mathematics
Philosophy of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Mathematics write by David Bostock. This book was released on 2009-03-09. Philosophy of Mathematics available in PDF, EPUB and Kindle. Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals
The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics
The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics write by John L. Bell. This book was released on 2019-09-09. The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics available in PDF, EPUB and Kindle. This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.
