Introduction to Mathematical Philosophy
Author: Bertrand Russell
Publisher:
Published: 1920
Total Pages: 224
ISBN-13:
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Introduction to Mathematical Philosophy
Author: Bertrand Russell
Publisher: Spokesman Books
Published: 2008
Total Pages: 220
ISBN-13: 0851247385
DOWNLOAD EBOOKBertrand Russell is probably the most important philosopher of mathematics in the 20th century. He brought together his formidable knowledge of the subject and skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics.
Introduction to Mathematical Philosophy
Author: Bertrand Russell
Publisher: Cosimo, Inc.
Published: 2007-04-01
Total Pages: 221
ISBN-13: 1602062919
DOWNLOAD EBOOKNot to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates. Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
An Introduction to the Philosophy of Mathematics
Author: Mark Colyvan
Publisher: Cambridge University Press
Published: 2012-06-14
Total Pages: 199
ISBN-13: 0521826020
DOWNLOAD EBOOKA fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Thinking about Mathematics
Author: Stewart Shapiro
Publisher: OUP Oxford
Published: 2000-07-13
Total Pages: 323
ISBN-13: 0192893068
DOWNLOAD EBOOKThinking 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.
A Mathematical Introduction to Logic
Author: Herbert B. Enderton
Publisher: Elsevier
Published: 2001-01-23
Total Pages: 330
ISBN-13: 0080496466
DOWNLOAD EBOOKA Mathematical Introduction to Logic
Principia Mathematica
Author: Alfred North Whitehead
Publisher:
Published: 1910
Total Pages: 688
ISBN-13:
DOWNLOAD EBOOKLectures on the Philosophy of Mathematics
Author: Joel David Hamkins
Publisher: MIT Press
Published: 2021-03-09
Total Pages: 350
ISBN-13: 0262542234
DOWNLOAD EBOOKAn 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.
An Introduction to Mathematical Logic
Author: Richard E. Hodel
Publisher: Courier Corporation
Published: 2013-01-01
Total Pages: 514
ISBN-13: 0486497852
DOWNLOAD EBOOKThis 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.
Philosophy of Mathematics
Author: David Bostock
Publisher: John Wiley & Sons
Published: 2009-03-09
Total Pages: 345
ISBN-13: 1405189924
DOWNLOAD EBOOKPhilosophy 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
