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# ðŸ“™ Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures by James Robert Brown â€” 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:

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...

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. ...

Our understanding of how the human brain performs mathematical calculations is far from complete. But in recent years there have been many exciting scientific discoveries, some aided by new imaging techniques - which allow us for the first time to watch t...

Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or ...

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundame...

This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging acc...

The Nobel Prize winner, Rabindranath Tagore (1861-1941) - 'the Indian Goethe', as Albert Schweitzer called him - was not only the foremost poet and playwright of modern India, but one of its most profound and influential thinkers. Kalyan Sen Gupta's book ...

An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented i...

Wisdom is an integral part of all philosophical and religious traditions in the world. Focusing on the concept of wisdom, this book examines the difficulties and problems facing comparative studies of the early Confucian and Israelite traditions by explor...

"Learning from Chinese Philosophies" engages Confucian and Daoist philosophies in creative interplay, developing a theory of interdependent selfhood in the two philosophical traditions. Karyn Lai draws on the unique insights of the two philosophies to add...

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....