Infinity And Paradox
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Infinity Causation And Paradox
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Author : Alexander R. Pruss
language : en
Publisher: Oxford University Press
Release Date : 2018-07-26
Infinity Causation And Paradox written by Alexander R. Pruss and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-26 with Philosophy categories.
Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes in Infinity, Causation and Paradox. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause).
Infinity Causation And Paradox
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Author : Alexander R. Pruss
language : en
Publisher:
Release Date :
Infinity Causation And Paradox written by Alexander R. Pruss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with PHILOSOPHY categories.
Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause).
Infinity And Paradox
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Author : Manuel Agrião
language : en
Publisher: Independently Published
Release Date : 2021-09-10
Infinity And Paradox written by Manuel Agrião and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-10 with categories.
This is a journey that begins upstream of existence itself and ends with the contemplative acceptance of the human condition, in particular, the subjective integrity of each one. It is a journey that goes from the absolute to the relative, whose driving force is telescopic and invites the reader to make several intermediate stops to reflect on suffering, reality, identity, art, and more. There are 252 texts divided into 20 chapters that help to form a whatever perspective on the Infinite. This is a book of understandings to use as a shoe sole.
On The Brink Of Paradox
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Author : Agustin Rayo
language : en
Publisher: MIT Press
Release Date : 2019-04-02
On The Brink Of Paradox written by Agustin Rayo and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-02 with Mathematics categories.
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.
Vicious Circles And Infinity
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Author : Patrick Hughes
language : en
Publisher: Penguin Group
Release Date : 1978
Vicious Circles And Infinity written by Patrick Hughes and has been published by Penguin Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Logic categories.
The Infinity Paradox
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Author : Rick Anthony
language : en
Publisher: Independently Published
Release Date : 2023-05-10
The Infinity Paradox written by Rick Anthony and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-10 with categories.
In a universe where the boundaries of time and space are no longer unyielding barriers, the cosmos extends beyond the limits of human imagination, revealing a multiverse that encompasses an infinity of realities. The concept of a single timeline gives way to a vast, interconnected web of alternate universes, each shaped by the choices, actions, and mere existence of countless beings. This ever-evolving dance of creation and destruction is bound together by a delicate balance that holds the fabric of reality together, an intricate interplay of forces that allows life to flourish in a myriad of forms and manifestations. "The Infinity Paradox" is a tale of adventure, discovery, and sacrifice, exploring the journey of a brilliant scientist, Dr. Isabella Reyes, who inadvertently finds herself entangled in the infinite possibilities of the multiverse. Through her groundbreaking work in the field of time travel, Isabella unwittingly opens a doorway to a cosmic web of parallel universes, each a unique reflection of the choices and actions of their inhabitants. As she navigates the boundless realms of existence, Isabella is confronted with the consequences of her actions, forced to question her own morals, values, and the responsibilities that come with the knowledge she has uncovered. Along her journey, she encounters alternate versions of herself, lost travelers, and tormented souls, each of whom provide her with invaluable insights, wisdom, and a deeper understanding of her own character and the true nature of the multiverse. "The Infinity Paradox" is a story of self-discovery, courage, and the enduring power of hope, empathy, and compassion. As Isabella explores the cosmic web and seeks to restore balance to the multiverse, she uncovers the profound impact that a single individual can have on the fate of countless lives and realities. Through her experiences, she learns that the true measure of her success lies not in the pursuit of scientific achievement, but in the connections she forms and the lives she touches along the way. In this sweeping narrative, we are invited to join Isabella on her journey through the infinity paradox, to venture alongside her into the endless expanse of the multiverse and to bear witness to the transformative power of hope, empathy, and compassion. As we delve into the infinite possibilities that await her, we are reminded of the boundless potential for growth, change, and the indomitable spirit of life that exists within us all. Embark on this thrilling adventure through the cosmic web and explore the depths of the human spirit, as we follow Dr. Isabella Reyes on her quest to unravel the mysteries of the multiverse, to restore balance to the delicate fabric of reality, and to discover the true meaning of courage, sacrifice, and self-discovery in the process. The infinity paradox awaits.
Paradoxes Of The Infinite Routledge Revivals
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Author : Bernard Bolzano
language : en
Publisher: Routledge
Release Date : 2014-03-18
Paradoxes Of The Infinite Routledge Revivals written by Bernard Bolzano and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Philosophy categories.
Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Vicious Circles And Infinity
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Author : Patrick Hughes
language : en
Publisher: Jonathan Cape
Release Date : 1976
Vicious Circles And Infinity written by Patrick Hughes and has been published by Jonathan Cape this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Paradox categories.
Infinity And The Mind
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Author : Rudy Rucker
language : en
Publisher: Princeton University Press
Release Date : 2019-07-23
Infinity And The Mind written by Rudy Rucker and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-23 with Computers categories.
A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Approaching Infinity
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Author : M. Huemer
language : en
Publisher: Springer
Release Date : 2016-05-23
Approaching Infinity written by M. Huemer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-23 with Philosophy categories.
Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.