Philosophical Perspectives on Infinity by Graham Oppy (PDF)

Description

This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.

User’s Reviews

Editorial Reviews: Review “I did encounter some new and provocative examples beyond the standard fare of Zeno’s paradox and Hilbert’s Hotel, and the meticulous framing of each conundrum and possible resolutions was fascinating and worth the effort.” – MAA Review Bonnie Shulman, Bates College”…read this book.” Mathematical Reviews Book Description Graham Oppy examines how the infinite lurks everywhere. About the Author Graham Oppy is Associate Dean of Research in the Faculty of Arts at Monash University in Australia. He is the author of Ontological Arguments and Belief in God and Arguing about Gods (Cambridge University Press, 2009), and has received fellowships from the Australian Research Council. He is associate editor of the Australasian Journal of Philosophy and sits on the editorial boards of Philo, Religious Studies, and Sophia. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is the other half of Graham Oppy’s “Arguing About Gods”. They were originally supposed to be a mega-book titled “God and Infinity”. It is good that Dr. Oppy separated them because both are heavy duty and may have been too much and too expensive if joined.This book is a review of many of the puzzles surrounding infinity through the ages (for some reason, the other reviewer can not appreciate professor Oppy’s goal of making this book definitive). While it covers some classical problems, it mostly focuses on those that have made their way into philosophical discussions involving mathematics and religion. The author’s style is meticulous and concise. He carefully lays out his preliminary questions about different areas of mathematics, then dives right in. As someone who loves mathematics, physics, and philosophy, I really enjoyed this book.

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