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'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will...
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas.
The intellectual drama will attract readers who are interested in mystical religion and the foundations of mathematics. The personal drama will attract readers who are interested in a human tragedy with characters who met their fates with exceptional courage--Freeman Dyson.
This study traces the connection of infinity and Levinasian ethics in 21st-century fiction. It tackles the paradox of how infinity can be (re-)presented in the finite space between the covers of a book and finds an answer that combines conceptual metaphor theory with concepts from classical narratology and beyond, such as mise en abyme, textual circularity, intertextuality or omniscient narration. It argues that texts with such structures may be conceptualised as infinite via Lakoff and Núñez’s Basic Metaphor of Infinity. The catachrestic transfer of infinity from structure to text means that the texts themselves are understood to be infinite. Taking its cue from the central role of the ...
Have you ever asked yourself why the world exists, why suffering seems unavoidable, or what the higher purpose of life might be? Well, look no further. This book delivers answers to some of our most enduring questions, clearly revealing the single truth that underpins every other truth. The author observes that while we tend to think of science and religion as opposites, they both try to understand the same reality. The problem is that understanding reality is tricky. Fortunately, the infinity principle tells us that we can understand the fundamental truths about this world. In fact, the answer is close by and is one we can find without scientific knowledge or religious creed. The infinity principle sheds light on our most haunting paradoxes and helps us grasp the ground conditions that rule our journey through space and time. Since the very first why was posed, mankind has pondered the deep enigmas of this world. Finally, a thorough answer is presented, and there is nothing mysterious about it.
Well known that mathematics and physics have problems in their development. Only one mathematician, Morris Kline, discovered illogicality of development of mathematics. Despite this, he attempted to justify illogicality in math by fruitfulness of usage of mathematics in physics, instead to stay problem about illogical development of physics. Here is discussing inconsistencies of undefined notions which are reasons of paradoxes. Main initial notion of mathematics is notion of infinity, and it has inconsistence and this inconsistency is distributed to derived notions of infinitesimal and continuity. Those notions related to almost all branches of mathematics which used physics. Also in work is considering miss inconsistencies of Euclids and non-Euclids geometries. A lot approaches like physics is geometry or geometry is physics was and is ignoring those inconsistencies of geometries.
Infinity Fish: Economics and the Future of Fish and Fisheries is a practical and science-based reference that demonstrates how to value the benefits from restored marine ecosystems to sustain ocean and fishery resources for years to come. It discusses ecological and economical aspects to support the preservation of marine resources by understanding cost-benefits of fishery management systems. The book explains the economic benefits of restoring ecosystems that have been overexploited and how to maintain fisheries in a sustainable level. Infinity Fish: Economics and the Future of Fish and Fisheries is a useful reference to a wide range of audiences. It is for those who wish to make systematic efforts to develop their fisheries sector, scientists and researchers, anyone in fisheries management, marine resource management, economists, fish farmers, policy makers, leaders and regulators, operations researchers, as well as faculty and students. - Includes case studies for each topic and provides detailed summaries to further understand them - Presents examples and practical applications of cost-benefit concepts - Provides models of statistical analysis to optimize decision making
The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22—24, 2015.