mogliboy04 Conqueror
Posts : 527 Join date : 20110327
 Subject: How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics Tue Apr 19, 2011 7:29 pm  
 How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics by William Byers
P...n University Press  2007  ISBN: 0691145997  424 pages  PDF  12 MB To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodicallyeven algorithmicallyfrom one blackandwhite deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this lessfamiliar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. DOWNLOAD http://www.filesonic.in/file/760870644/0691145997.rar 

tunnelier Conqueror
Posts : 1672 Join date : 20110526 Age : 36
 Subject: Re: How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics Tue Jun 07, 2011 2:24 am  
 
