- Taschenbuch: 292 Seiten
- Verlag: Palgrave Macmillan; Auflage: 1st ed. 2016 (14. März 2016)
- Sprache: Englisch
- ISBN-10: 113756086X
- ISBN-13: 978-1137560865
- Größe und/oder Gewicht: 14 x 1,5 x 21,6 cm
- Durchschnittliche Kundenbewertung: Schreiben Sie die erste Bewertung
- Amazon Bestseller-Rang: Nr. 526.330 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)
- Komplettes Inhaltsverzeichnis ansehen
Approaching Infinity (Englisch) Taschenbuch – 14. März 2016
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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.
Über den Autor und weitere Mitwirkende
Michael Huemer received a B.A. from UC Berkeley and a Ph.D. from Rutgers University. He is presently a full professor at the University of Colorado, where he has taught since 1998. He has published three single-author scholarly books, one edited anthology, and more than fifty academic articles in epistemology, ethics, political philosophy, and metaphysics. His articles have appeared in such journals as the Philosophical Review, Mind, the Journal of Philosophy, Ethics, and others. Michael's first book, Skepticism and the Veil of Perception, significantly advanced the theory of Phenomenal Conservatism in epistemology, which is now considered one of the leading theories of justified belief and is the focus of the recent anthology, Seemings and Justification (Oxford, 2013). His second book, Ethical Intuitionism, is one of the leading contemporary defenses of ethical intuitionism and of moral realism more generally. It has been assigned as course reading by two colleagues at my own university, in addition to philosophers at the University of Massachusetts at Amherst, Lafayette College, Huron University College, Syracuse University, and Princeton University. It was the subject of a book symposium in Philosophy and Phenomenological Research. Michael's most recent book, The Problem of Political Authority, was published in 2013.
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My favorite part of the book: Huemer's reply to the "anti-foundational" view that our beliefs can be justified through an infinite series of reasons rather than resting on foundational premises.
I doubt I'll ever read another book steeped in the philosophy of mathematics. But Huemer is such a singular intellect I'm grateful to read his thoughts about anything. If you're going to read one book about infinity, choose Approaching Infinity.
My main concern is that Huemer's theory is based on an epistemological position called rationalism. In a nutshell, it says that some substantive knowledge of reality is gained via intuition; not all knowledge is rooted in sensory experience. Huemer admits that this is very controversial in philosophy, and any empiricists who read this book will reject his theory. Perhaps the book could have had a subtitle indicating that Huemer's approach assumes the truth of rationalism. To be fair to him, he does include a short section summarising his reasons for rejecting empiricism, and he references other works where the arguments are developed in more detail. However, any empiricist who remains unconvinced by this material may be left wondering whether they should even bother reading the second half of the book.
There is no reason to drudge through this amateurish twaddle when there are so many excellent books on infinity out there, e.g. Gamow's "One, Two, Three... Infinity", D. F. Wallace's "Everything and More: A Compact History of Infinity" and, for the advanced, Heller and Woodin's "Infinity: New Research Frontiers". Give these a shot if you want to learn something about infinity, and leave Huemer's book on the shelf.