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Author
Publisher
W.W. Norton & Company
Pub. Date
[2021]
Language
English
Appears on list
Description
"The first major biography of the logician and mathematician whose incompleteness theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true--yet never provable--continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has...
Author
Publisher
Yale University Press
Pub. Date
2020.
Language
English
Description
An inclusive vision of mathematics-its beauty, its humanity, and its power to build virtues that help us all flourish. For mathematician Francis Su, a society without mathematical affection is like a city without museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a diverse audience but especially for those disenchanted by their past experiences, an award-winning...
Author
Publisher
Princeton University Press
Pub. Date
[2021]
Language
English
Description
"In The Two Greatest Ideas, Linda Zagzebski tells the history of two hugely impactful ideas and their crucial role in shaping human culture over the last two thousand years. These ideas, Zagzebski argues, underlie virtually all of the intellectual innovations of human civilization, yet are so simple they are almost invisible. The first idea is that the human mind is capable of grasping the universe. The second is that the human mind is capable of...
Author
Publisher
The MIT Press
Pub. Date
©2013.
Language
English
Description
Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of...
Author
Publisher
Princeton University Press
Pub. Date
[2021]
Language
English
Description
"For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for...
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