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 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 : 1992

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 1992 with 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).

The Infinite

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Author : A.W. Moore
language : en
Publisher: Routledge
Release Date : 2018-10-09

The Infinite written by A.W. Moore and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Philosophy categories.

We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.

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

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Author : Roy T. Cook
language : en
Publisher: John Wiley & Sons
Release Date : 2013-04-03

Paradoxes written by Roy T. Cook and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Philosophy categories.

Paradoxes are arguments that lead from apparently true premises, via apparently uncontroversial reasoning, to a false or even contradictory conclusion. Paradoxes threaten our basic understanding of central concepts such as space, time, motion, infinity, truth, knowledge, and belief. In this volume Roy T Cook provides a sophisticated, yet accessible and entertaining, introduction to the study of paradoxes, one that includes a detailed examination of a wide variety of paradoxes. The book is organized around four important types of paradox: the semantic paradoxes involving truth, the set-theoretic paradoxes involving arbitrary collections of objects, the Soritical paradoxes involving vague concepts, and the epistemic paradoxes involving knowledge and belief. In each of these cases, Cook frames the discussion in terms of four different approaches one might take towards solving such paradoxes. Each chapter concludes with a number of exercises that illustrate the philosophical arguments and logical concepts involved in the paradoxes. Paradoxes is the ideal introduction to the topic and will be a valuable resource for scholars and students in a wide variety of disciplines who wish to understand the important role that paradoxes have played, and continue to play, in contemporary philosophy.

Approaching Infinity

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Author : M. Huemer
language : en
Publisher: Palgrave Macmillan
Release Date : 2016-03-14

Approaching Infinity written by M. Huemer and has been published by Palgrave Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-14 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.

Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas

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Author : Janusz Czyz
language : en
Publisher: World Scientific
Release Date : 1994-01-14

Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas written by Janusz Czyz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-14 with Mathematics categories.

In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.

Paradoxes

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Author : Piotr Łukowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02

Paradoxes written by Piotr Łukowski 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 2011-06-02 with Philosophy categories.

This book, provides a critical approach to all major logical paradoxes: from ancient to contemporary ones. There are four key aims of the book: 1. Providing systematic and historical survey of different approaches – solutions of the most prominent paradoxes discussed in the logical and philosophical literature. 2. Introducing original solutions of major paradoxes like: Liar paradox, Protagoras paradox, an unexpected examination paradox, stone paradox, crocodile, Newcomb paradox. 3. Explaining the far-reaching significance of paradoxes of vagueness and change for philosophy and ontology. 4. Proposing a novel, well justified and, as it seems, natural classification of paradoxes.