PDF Introduction to Mathematical Philosophy Download
- Author: Bertrand Russell
- Publisher:
- ISBN:
- Category : Mathematics
- Languages : en
- Pages : 224
An Introduction to the Philosophy of Mathematics
PDF An Introduction to the Philosophy of Mathematics Download
- Author: Mark Colyvan
- Publisher: Cambridge University Press
- ISBN: 0521826020
- Category : Mathematics
- Languages : en
- Pages : 199
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Thinking about Mathematics
PDF Thinking about Mathematics Download
- Author: Stewart Shapiro
- Publisher: OUP Oxford
- ISBN: 0192893068
- Category : Philosophy
- Languages : en
- Pages : 323
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.
A Friendly Introduction to Mathematical Logic
PDF A Friendly Introduction to Mathematical Logic Download
- Author: Christopher C. Leary
- Publisher: Lulu.com
- ISBN: 1942341075
- Category : Computers
- Languages : en
- Pages : 382
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
A Mathematical Introduction to Logic
Principia Mathematica
Lectures on the Philosophy of Mathematics
PDF Lectures on the Philosophy of Mathematics Download
- Author: Joel David Hamkins
- Publisher: MIT Press
- ISBN: 0262542234
- Category : Mathematics
- Languages : en
- Pages : 350
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.
An Introduction to Mathematical Logic
PDF An Introduction to Mathematical Logic Download
- Author: Richard E. Hodel
- Publisher: Courier Corporation
- ISBN: 0486497852
- Category : Mathematics
- Languages : en
- Pages : 514
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.
Philosophy of Mathematics
PDF Philosophy of Mathematics Download
- Author: David Bostock
- Publisher: John Wiley & Sons
- ISBN: 1405189924
- Category : Mathematics
- Languages : en
- Pages : 345
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 Philosophy of Mathematical Practice
PDF The Philosophy of Mathematical Practice Download
- Author: Paolo Mancosu
- Publisher: Oxford University Press on Demand
- ISBN: 0199296456
- Category : Philosophy
- Languages : en
- Pages : 460
There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
