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# π Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures by James Robert Brown β free epub

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I've always had trouble with the idea that mathematicians discover things, as opposed to inventing them. You see, if you discover something, the implication is that that something is, in some sense, out there. But where would mathematical entities reside, if not inside human brains and thought processes? I must say, reading this book has if not changed my mind at least made me seriously question my positions - which is really what you want from any good book. Brown's treatment is relatively accessible, but of course you will be in for a good amount of philosophy, and some not so easily digestible math. Still, the attentive reader can get the gist of the arguments without having to follow every proof presented by the author. I am a little less convinced, though still intrigued, by Brown's claim that pictures can - in some circumstances - do the work of formal proofs. Then again, that notion does appeal to my generally pluralistic attitude about methods of inquiry, and it does fit very well with the author's overall contention that mathematics is - surprisingly - a lot more like the natural sciences than one might think at first. Of course, all of this leaves completely unanswered the underlying question of the ontological status of mathematical objects. Oh well, can't get everything out of a single book.

## About book:

## About file:

Security code:

- Series:
**Philosophical Issues in Science** - Author:
**James Robert Brown** - Year:
**1999** - Publisher:
**Routledge** - Language:
**English** - ISBN:
**0415122759,9780415122757,0415122740,9780415122740,9780203980378**

- File size:
**3 219 428** - Format:
**pdf**

Security code:

Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophic...

Discover a provocative, timeless overview of philosophy that you will find nowhere else with the eleventh edition of this classic introductory text, PHILOSOPHY: AN INTRODUCTION TO THE ART OF WONDERING. Author James L. Christian takes a unique synoptic app...

A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a ...

This authoritative anthology presents key selections from the best contemporary work in philosophy of film and motion pictures. Designed for classroom use, the essays that comprise this volume have been specially chosen for their clarity, precision, philo...

This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in one and in several variables. Starting with a detailed and self-contained discussion of the general cons...

Paperback book. Daniel Solow, author. Approximate size, 5.50 x 8.50. Total 172 pages. John Wiley & Sons, Publishers. Printed in the USA. 1982 Edition. The covers are glossy and deep burgundy with light orange colors. "An introduction to mathematical thoug...

Proofs and Algorithms: An Introduction to Logic and ComputabilityLogic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.Proofs and Algo...

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure f...

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 s...

Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. ...

The 2004 election of the European Parliament marks something of a defining point in the history of European integration. The 2004 elections seemed simultaneously mundane and an accepted feature of a sui generis system, now accepted as a polity in its own ...

These proceedings include most of the available information on this major seismic event and its consequences. With an estimated moment magnitude of 7.7 and a heavy toll in terms of human and economic losses, it ranks as the largest intermediate-depth eart...

This edited volume is based on a highly original survey carried out between November 2011 and June 2012 among a panel of 6,000 voters. The panel was interviewed on 12 separate occasions about how and why they made their voting choices. The book focuses on...

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The continuation of Thai for Beginners. Users are expected to be able to read basic Thai language. There is a little transliteration when new words are introduced....