From Kant To Hilbert Volume 2

Download From Kant To Hilbert Volume 2 full books in PDF, epub, and Kindle. Read online From Kant To Hilbert Volume 2 ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

From Kant to Hilbert Volume 2

Author : William Bragg Ewald
Publisher : OUP Oxford
ISBN 13 : 0191523100
Total Pages : 710 pages
Book Rating : 4.1/5 (915 download)

DOWNLOAD NOW!

Book Synopsis From Kant to Hilbert Volume 2 by : William Bragg Ewald

Download or read book From Kant to Hilbert Volume 2 written by William Bragg Ewald and published by OUP Oxford. This book was released on 2005-04-21 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.

From Kant to Hilbert Volume 2

Author : William Bragg Ewald
Publisher : Oxford University Press
ISBN 13 : 0198505361
Total Pages : 709 pages
Book Rating : 4.1/5 (985 download)

DOWNLOAD NOW!

Book Synopsis From Kant to Hilbert Volume 2 by : William Bragg Ewald

Download or read book From Kant to Hilbert Volume 2 written by William Bragg Ewald and published by Oxford University Press. This book was released on 1999 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available as a separate volume.

From Kant to Hilbert

Author :
Publisher :
ISBN 13 : 9781383021080
Total Pages : 0 pages
Book Rating : 4.0/5 (21 download)

DOWNLOAD NOW!

Book Synopsis From Kant to Hilbert by :

Download or read book From Kant to Hilbert written by and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked.

From Kant to Hilbert (2 Vol.)

Author : W. B. Ewald
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (14 download)

DOWNLOAD NOW!

Book Synopsis From Kant to Hilbert (2 Vol.) by : W. B. Ewald

Download or read book From Kant to Hilbert (2 Vol.) written by W. B. Ewald and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Kant to Hilbert Volume 1

Author : William Bragg Ewald
Publisher : Oxford University Press, USA
ISBN 13 : 0198505353
Total Pages : 695 pages
Book Rating : 4.1/5 (985 download)

DOWNLOAD NOW!

Book Synopsis From Kant to Hilbert Volume 1 by : William Bragg Ewald

Download or read book From Kant to Hilbert Volume 1 written by William Bragg Ewald and published by Oxford University Press, USA. This book was released on 1996 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics - algebra, geometry, number theory, analysis, logic, and set theory - with narratives to show how they are linked.

Plato's Ghost

Author : Jeremy Gray
Publisher : Princeton University Press
ISBN 13 : 1400829046
Total Pages : 528 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Plato's Ghost by : Jeremy Gray

Download or read book Plato's Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2008-09-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.

Logic from Kant to Russell

Author : Sandra Lapointe
Publisher : Routledge
ISBN 13 : 9780367663346
Total Pages : 256 pages
Book Rating : 4.6/5 (633 download)

DOWNLOAD NOW!

Book Synopsis Logic from Kant to Russell by : Sandra Lapointe

Download or read book Logic from Kant to Russell written by Sandra Lapointe and published by Routledge. This book was released on 2020-09-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of the central influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge. The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds--intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy's past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)

DOWNLOAD NOW!

Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

What Is Mathematics, Really?

Author : Reuben Hersh
Publisher : Oxford University Press
ISBN 13 : 0198027362
Total Pages : 368 pages
Book Rating : 4.1/5 (98 download)

DOWNLOAD NOW!

Book Synopsis What Is Mathematics, Really? by : Reuben Hersh

Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Philosophy of Mathematics

Author : Øystein Linnebo
Publisher : Princeton University Press
ISBN 13 : 069120229X
Total Pages : 214 pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Mathematics by : Øystein Linnebo

Download or read book Philosophy of Mathematics written by Øystein Linnebo and published by Princeton University Press. This book was released on 2020-03-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.

From Brouwer to Hilbert

Author : Paolo Mancosu
Publisher : Oxford University Press, USA
ISBN 13 : 9780195096316
Total Pages : 337 pages
Book Rating : 4.0/5 (963 download)

DOWNLOAD NOW!

Book Synopsis From Brouwer to Hilbert by : Paolo Mancosu

Download or read book From Brouwer to Hilbert written by Paolo Mancosu and published by Oxford University Press, USA. This book was released on 1998 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Brouwer To Hilbert: The Debate on the Foundations of Mathematics in the 1920s offers the first comprehensive introduction to the most exciting period in the foundation of mathematics in the twentieth century. The 1920s witnessed the seminal foundational work of Hilbert and Bernays inproof theory, Brouwer's refinement of intuitionistic mathematics, and Weyl's predicativist approach to the foundations of analysis. This impressive collection makes available the first English translations of twenty-five central articles by these important contributors and many others. The articleshave been translated for the first time from Dutch, French, and German, and the volume is divided into four sections devoted to (1) Brouwer, (2) Weyl, (3) Bernays and Hilbert, and (4) the emergence of intuitionistic logic. Each section opens with an introduction which provides the necessaryhistorical and technical context for understanding the articles. Although most contemporary work in this field takes its start from the groundbreaking contributions of these major figures, a good, scholarly introduction to the area was not available until now. Unique and accessible, From Brouwer ToHilbert will serve as an ideal text for undergraduate and graduate courses in the philosophy of mathematics, and will also be an invaluable resource for philosophers, mathematicians, and interested non-specialists.

On Logic and the Theory of Science

Author : Jean Cavailles
Publisher : MIT Press
ISBN 13 : 1913029417
Total Pages : 143 pages
Book Rating : 4.9/5 (13 download)

DOWNLOAD NOW!

Book Synopsis On Logic and the Theory of Science by : Jean Cavailles

Download or read book On Logic and the Theory of Science written by Jean Cavailles and published by MIT Press. This book was released on 2021-04-27 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Philosophy of Mathematics in the Twentieth Century

Author : Charles Parsons
Publisher : Harvard University Press
ISBN 13 : 0674419499
Total Pages : 365 pages
Book Rating : 4.6/5 (744 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Mathematics in the Twentieth Century by : Charles Parsons

Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Why Is There Philosophy of Mathematics At All?

Author : Ian Hacking
Publisher : Cambridge University Press
ISBN 13 : 1107729823
Total Pages : 212 pages
Book Rating : 4.1/5 (77 download)

DOWNLOAD NOW!

Book Synopsis Why Is There Philosophy of Mathematics At All? by : Ian Hacking

Download or read book Why Is There Philosophy of Mathematics At All? written by Ian Hacking and published by Cambridge University Press. This book was released on 2014-01-30 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

Simplicity: Ideals of Practice in Mathematics and the Arts

Author : Roman Kossak
Publisher : Springer
ISBN 13 : 3319533851
Total Pages : 305 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Simplicity: Ideals of Practice in Mathematics and the Arts by : Roman Kossak

Download or read book Simplicity: Ideals of Practice in Mathematics and the Arts written by Roman Kossak and published by Springer. This book was released on 2017-06-28 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.

The Foundations of Geometry

Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (129 download)

DOWNLOAD NOW!

Book Synopsis The Foundations of Geometry by : David Hilbert

Download or read book The Foundations of Geometry written by David Hilbert and published by . This book was released on 1910 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Visual Thinking in Mathematics

Author : Marcus Giaquinto
Publisher : Oxford University Press
ISBN 13 : 0199285942
Total Pages : 298 pages
Book Rating : 4.1/5 (992 download)

DOWNLOAD NOW!

Book Synopsis Visual Thinking in Mathematics by : Marcus Giaquinto

Download or read book Visual Thinking in Mathematics written by Marcus Giaquinto and published by Oxford University Press. This book was released on 2007-07-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.