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Author: Agustin Rayo
Publisher: MIT Press
ISBN: 0262351382
Category : Mathematics
Languages : en
Pages : 321
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Book Description
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
Author: Agustin Rayo
Publisher: MIT Press
ISBN: 0262351382
Category : Mathematics
Languages : en
Pages : 321
Get Book Here
Book Description
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
Author: Phillip Peterson
Publisher:
ISBN: 9781977974013
Category :
Languages : en
Pages : 444
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Book Description
Travel to the Stars . . . A Dream Fulfilled or Humankind's Worst Nightmare?Ed Walker's last mission almost ended in catastrophe. Although the NASA astronaut had been able to save the lives of his crewmates, he's still in danger of going down in history as the commander of the mission that wrecked the International Space Station. So he can hardly believe his luck when he's chosen to head the first manned exploration of the outer solar system.One of his new crew members is the young physicist David Holmes, who is studying the mysterious disappearance of three space probes.But as their spaceship approaches interstellar space, humanity's most pressing question is no longer: Are we alone in the universe? It is rather: Are we ready for the truth?For fans of Apollo 13, The Martian and Interstellar+++ Winner of the 2015 Storyteller Award at the Frankfurt International Bookfair +++
Author: Thomas A. Fudge
Publisher: Edwin Mellen Press
ISBN: 9780773482494
Category : Biography & Autobiography
Languages : en
Pages : 406
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Book Description
Author: Agustin Rayo
Publisher: MIT Press
ISBN: 0262039419
Category : Mathematics
Languages : en
Pages : 321
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Book Description
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
Author: Phillip Peterson
Publisher:
ISBN: 9781717267535
Category :
Languages : en
Pages : 248
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Book Description
Assumed dead, they are fighting for the future of humankind at the end of time and space.After their mission to the outer limits of the solar system failed, David and his crewmates wake up in a faraway place and a faraway time. And this time, the alien intelligence wants them to go on a dangerous mission: circumnavigate the universe. If they succeed, they will secure the future of humankind.But the universe is even more threatening than the extra-terrestrials believed. In the end, David, Ed, Grace, and Wendy must fight for survival in a place beyond space and time.The long-awaited sequel to the best-selling winner of the Storyteller Award, Paradox
Author: James E. von der Heydt
Publisher: University of Iowa Press
ISBN: 1587297736
Category : Literary Criticism
Languages : en
Pages : 263
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Book Description
From popular culture to politics to classic novels, quintessentially American texts take their inspiration from the idea of infinity. In the extraordinary literary century inaugurated by Ralph Waldo Emerson, the lyric too seemed to encounter possibilities as limitless as the U.S. imagination. This raises the question: What happens when boundlessness is more than just a figure of speech? Exploring new horizons is one thing, but actually looking at the horizon itself is something altogether different. In this carefully crafted analysis, James von der Heydt shines a new light on the lyric craft of Emily Dickinson, Robert Frost, Elizabeth Bishop, and James Merrill and considers how their seascape-vision redefines poetry's purpose. Emerson famously freed U.S. literature from its past and opened it up to vastness; in the following century, a succession of brilliant, rigorous poets took the philosophical challenges of such freedom all too seriously. Facing the unmarked horizon, Emersonian poets capture—and are captured by—a stark, astringent version of human beauty. Their uncompromising visions of limitlessness reclaim infinity's proper legacy—and give American poetry its edge. Von der Heydt's book recovers the mystery of their world.
Author: Barry Tyrrell
Publisher: FriesenPress
ISBN: 1460280792
Category : Fiction
Languages : en
Pages : 198
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Book Description
Tshiremba, the great witchdoctor, has a ruthless scheme to subjugate the Zulus of kwaZulu — Natal to his own ends in the “New” South Africa. Dr. Philemon Thlabati, is a thorn in his side, and Tshiremba is not above using ancient witchcraft to destroy his enemies. But the life of Philemon Thlabati is also influenced by powerful forces; and centuries old Zulu stories foretell of a destiny that must be fulfilled. Philemon and his friends set out on a quest to solve the mystery of a lost tribe; and along the way they find adventure, unexpected romance, and the legacy of a princess. The setting for this tale is the beautiful rolling hills, mountains and rivers of Zululand, South Africa — Shaka Zulu’s former domain. There, an epic battle between good and evil is fought with clubs, spears and cunning; and by summoning the precocious spirits of the ancestors.
Author: George Horne
Publisher:
ISBN:
Category : Faith and reason
Languages : en
Pages : 446
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Book Description
![An Enquiry whence cometh Wisdom and Understanding to man? ... Being the substance of two Sermons [on Rom. x. 17], etc PDF](https://books.google.com/books/content/images/frontcover/8cplAAAAcAAJ?fife=w80-h100)
Author: John ELLIS (D.D., Vicar of St. Catherine's, Dublin.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
Author: Isidore Diala
Publisher: Cambridge Scholars Publishing
ISBN: 1527521265
Category : Literary Criticism
Languages : en
Pages : 234
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Book Description
This book appraises André Brink’s reputation as an internationally acclaimed commentator on the enormities of the apartheid state and one of South Africa’s foremost novelists. Highlighting Brink’s enduring meditation on the writer’s responsibility to a society in a state of moral and political siege and his exemplary position in the interrogation of the subtle discursive strategies of the apartheid establishment, it refers extensively to Brink’s oeuvre, but focuses mainly on his first seven novels in English: The Ambassadors, Looking on Darkness, An Instant in the Wind, Rumours of Rain, A Dry White Season, A Chain of Voices and The Wall of the Plague. Aimed primarily at students of South Africa, it draws on postcolonial theory to examine the ideological implications of the Western aesthetic and intellectual background that nurtured Brink’s imagination, his fixation with the tragic vision, Christian theology, and existentialism, in the context of his professed political affiliations.
