Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics. The chapters are written by some of the world's finest mathematicians, mathematical physicists and philosophers of mathematics, each giving their perspective on this fascinating debate. Every chapter is followed by a short response from another member of the author team, reinforcing the main theme and raising further questions. Accessible to anyone interested in what mathematics really means, and useful for mathematicians and philosophers of science at all levels, Meaning in Mathematics offers deep new insights into a subject many people take for granted.
The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education.
This book explains the origins of over 1500 mathematical terms used in English.
Pirie, S. and Kieren, T. (1989) A recursive theory of mathematical understanding', For the Learning ofMathematics, 9(3), 7–11. Pirie, S. and Kieren, T. (1992) 'Watching Sandy's understanding grow', 211 REFERENCES.
... 117, 126, 175, 189,196,220, 223, 225, 283 LINDEMANN, Ferdinand 261 LIOUVILLE, Joseph 261 LOUIS XIV, King of France 235 LOVELACE, Countess of 170 LUTHER, Martin 64 MACLAURIN, Colin 208 MAHAVIRA 197,206, 207 MARTELL, CHARLES 70 MERAY, ...
Through the use of the Hall-Tonna framework of values, the researcher investigates the value positions being ... The Hall-Tonna Values Inventory questionnaire (Values Technology, 1995) is one instrument by which to obtain an individual ...
This edition contains recommended web links, which are accessible and kept up to date via the Dictionary of Mathematics companion website.
But what is meaning in the mind? How do material minds get meanings?Gödel's Mistake connects Gödel's and Turing's theorems to the question of meaning.
The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.
in J. Berg , ed . , Proceedings of the University of Haifa International Conference on the work of Saul Kripke : Naming , Necessity , and More ( forthcoming ) " " Must ” and “ Might ” , for a chapter on modal logic to appear in D.
Containing more than 1,000 entries, the Dictionary of Classical and Theoretical Mathematics focuses on mathematical terms and definitions of critical importance to practicing mathematicians and scientists.