Philosophy Of Mathematics In The Twentieth Century PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Philosophy Of Mathematics In The Twentieth Century PDF full book. Access full book title Philosophy Of Mathematics In The Twentieth Century.
Author | : Charles Parsons |
Publisher | : Harvard University Press |
Total Pages | : 365 |
Release | : 2014-03-10 |
Genre | : Philosophy |
ISBN | : 0674419499 |
Download Philosophy of Mathematics in the Twentieth Century Book 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.
Author | : Charles Parsons |
Publisher | : Harvard University Press |
Total Pages | : 331 |
Release | : 2014-03-17 |
Genre | : Philosophy |
ISBN | : 0674419502 |
Download Philosophy of Mathematics in the Twentieth Century Book in PDF, ePub and Kindle
In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.
Author | : Stuart Shanker |
Publisher | : Psychology Press |
Total Pages | : 508 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780415308816 |
Download Philosophy of Science, Logic and Mathematics in the Twentieth Century Book in PDF, ePub and Kindle
First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Author | : Stuart G. Shanker |
Publisher | : Taylor & Francis |
Total Pages | : 508 |
Release | : 2023-05-09 |
Genre | : Philosophy |
ISBN | : 1000949699 |
Download Philosophy of Science, Logic and Mathematics in the 20th Century Book in PDF, ePub and Kindle
The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.
Author | : David Bostock |
Publisher | : John Wiley & Sons |
Total Pages | : 345 |
Release | : 2009-03-09 |
Genre | : Mathematics |
ISBN | : 1405189924 |
Download Philosophy of Mathematics Book 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
Author | : Stuart G. Shanker |
Publisher | : Psychology Press |
Total Pages | : 461 |
Release | : 2003 |
Genre | : Philosophy |
ISBN | : 9780415308816 |
Download Philosophy of Science, Logic and Mathematics in the Twentieth Century Book in PDF, ePub and Kindle
Contents - Introduction. 1. Philosophy of logic 2. Philosophy of mathematics in the 20th century. 3. Frege 4. Wittgenstein's Tractatus 5. Logical postivism 6. The philosophy of physics 7. The philosophy of science 8. Chance, cause and conduct; probability
Author | : Robert Tubbs |
Publisher | : Johns Hopkins University Press+ORM |
Total Pages | : 276 |
Release | : 2014-07-03 |
Genre | : Mathematics |
ISBN | : 1421414023 |
Download Mathematics in Twentieth-Century Literature & Art Book 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
Author | : Bertrand Russell |
Publisher | : |
Total Pages | : 224 |
Release | : 1920 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Mathematical Philosophy Book in PDF, ePub and Kindle
Author | : Stewart Shapiro |
Publisher | : OUP Oxford |
Total Pages | : 323 |
Release | : 2000-07-13 |
Genre | : Philosophy |
ISBN | : 0192893068 |
Download Thinking about Mathematics Book in PDF, ePub and Kindle
Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.
Author | : S. G. Shanker |
Publisher | : Routledge |
Total Pages | : 500 |
Release | : 2003-09-02 |
Genre | : Philosophy |
ISBN | : 1134393377 |
Download Routledge History of Philosophy Volume IX Book in PDF, ePub and Kindle
Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on the mechanist/vitalist debates. The volume also contains a helpful chronology to the major scientific and philosophical events in the twentieth century. It also provides an extensive glossary of technical terms in the notes on major figures in these fields.