Paradoxes Of The Infinite
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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.
Paradoxes Of The Infinite
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Author : Bernard Bolzano
language : en
Publisher:
Release Date : 1950
Paradoxes Of The Infinite written by Bernard Bolzano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Infinite categories.
Paradoxes And The Infinite
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Author : Graham Flegg
language : en
Publisher:
Release Date : 1975
Paradoxes And The Infinite written by Graham Flegg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Infinite categories.
Paradoxes Of The Infinite
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Author : Bernard Bolzano
language : en
Publisher:
Release Date : 1977
Paradoxes Of The Infinite written by Bernard Bolzano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Infinite categories.
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.
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).
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.
The Infinite
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Author : A. W. Moore
language : en
Publisher: Psychology Press
Release Date : 1990
The Infinite written by A. W. Moore and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Philosophy categories.
This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.
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.
In Search Of Infinity
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Author : N.Ya. Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
In Search Of Infinity written by N.Ya. Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.