Nyd den ubegrænsede adgang til tusindvis af spændende e- og lydbøger - helt gratis
Fakta
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white 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 less-familiar 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.
© 2010 Princeton University Press (E-bog): 9781400833955
Release date
E-bog: 12. april 2010
Over 600.000 titler
Download og nyd titler offline
Eksklusive titler + Mofibo Originals
Børnevenligt miljø (Kids Mode)
Det er nemt at opsige når som helst
For dig som vil prøve Mofibo.
1 konto
20 timer/måned
Eksklusivt indhold hver uge
Fri lytning til podcasts
Gem ubrugt tid
Ingen binding
For dig som lytter og læser ofte.
1 konto
100 timer/måned
Eksklusivt indhold hver uge
Fri lytning til podcasts
Ingen binding
For dig som lytter og læser ubegrænset.
1 konto
Ubegrænset adgang
Eksklusivt indhold hver uge
Fri lytning til podcasts
Ingen binding
For dig som ønsker at dele historier med familien.
2-6 konti
100 timer/måned pr. konto
Fri lytning til podcasts
Kun 39 kr. pr. ekstra konto
Ingen binding
2 konti
179 kr. /månedDansk
Danmark