Author: BERTRAND. RUSSELL
Publisher:
Published: 2018
Total Pages: 0
ISBN-13: 9781033092989
DOWNLOAD EBOOK →Author: Mark Colyvan
Publisher: Cambridge University Press
Published: 2012-06-14
Total Pages: 199
ISBN-13: 0521826020
DOWNLOAD EBOOK →A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Author: Joel David Hamkins
Publisher: MIT Press
Published: 2021-03-09
Total Pages: 350
ISBN-13: 0262542234
DOWNLOAD EBOOK →An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Author: Richard E. Hodel
Publisher: Courier Corporation
Published: 2013-01-01
Total Pages: 514
ISBN-13: 0486497852
DOWNLOAD EBOOK →This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Author: Øystein Linnebo
Publisher: Princeton University Press
Published: 2020-03-24
Total Pages: 214
ISBN-13: 069120229X
DOWNLOAD EBOOK →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.
Author: Bertrand Russell
Publisher:
Published: 2009-08
Total Pages: 552
ISBN-13: 0415487412
DOWNLOAD EBOOK →Mathematics.
Author: Bertrand Russell
Publisher: Taylor & Francis
Published: 2022-09-15
Total Pages: 227
ISBN-13: 1000686973
DOWNLOAD EBOOK →"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..." - Bertrand Russell, from the Preface First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics. From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics." This Routledge Classics edition includes a new Foreword by Michael Potter.
Author: Bertrand Russell, Earl
Publisher: Hardpress Publishing
Published: 2013-01-01
Total Pages: 224
ISBN-13: 9781313305914
DOWNLOAD EBOOK →Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author: Bertrand Russell
Publisher: Longman Publishing Group
Published: 2007-12
Total Pages: 200
ISBN-13: 9780321273611
DOWNLOAD EBOOK →Part of the Longman Library of Primary Sources in Philosophy," this edition of Russell's Introduction to Mathematical Philosophy is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for readers. A General Introduction includes the work's historical context, a discussion of historical influences, and biographical information on Bertrand Russell. Annotations and notes from the editor clarify difficult passages for greater understanding, and a bibliography gives the reader additional resources for further study.