## Aristotle on Mathematical Infinity

Author | : Theokritos Kouremenos |

Publisher | : Franz Steiner Verlag |

Total Pages | : 131 |

Release | : 1995 |

ISBN 10 | : 3515068511 |

ISBN 13 | : 9783515068512 |

Language | : EN, FR, DE, ES & NL |

**Aristotle on Mathematical Infinity Book Description:**

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.

## Infinity a Very Short Introduction

Author | : Ian Stewart |

Publisher | : Oxford University Press |

Total Pages | : 144 |

Release | : 2017-03-23 |

ISBN 10 | : 9780198755234 |

ISBN 13 | : 0198755236 |

Language | : EN, FR, DE, ES & NL |

**Infinity a Very Short Introduction Book Description:**

Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

## Infinity

Author | : Hannah Moscovitch |

Publisher | : |

Total Pages | : 96 |

Release | : 2017-02-17 |

ISBN 10 | : 1770917349 |

ISBN 13 | : 9781770917347 |

Language | : EN, FR, DE, ES & NL |

**Infinity Book Description:**

"Sarah Jean is an intelligent mathematics student who finds safety in numbers, in the reliability of their defined nature. Her affinity for unhealthy relationships, however, remains a complete mystery. Her flings turn into year-long relationships against better judgment and her confusing emotional patterns are only now coming to light. It's time for Sarah Jean to make sense of her past in terms she understands and to discover there is more to time than just its inevitable passing. Elliot is a theoretical physicist who spends most of his time thinking about time, and how to unify all physics. So when he meets Carmen, a violinist, the two bond over talks about music and theory. Talks that lead them into bed and into a marriage that should and shouldn't be. As their relationship teeters through time, work and family become an unbalanced balancing act, and theories are thrown to the stars revealing truths they're not ready to face."--

## The Diagonal Infinity

Author | : H. M. Hubey |

Publisher | : World Scientific |

Total Pages | : 522 |

Release | : 1998 |

ISBN 10 | : 9810230818 |

ISBN 13 | : 9789810230814 |

Language | : EN, FR, DE, ES & NL |

**The Diagonal Infinity Book Description:**

CD-ROM consists of four directories: parametric plots, fractals, etc; nonlinear differential equations; fuzzy logics; and graphics files.

## Infinity

Author | : Sherrilyn Kenyon |

Publisher | : St. Martin's Griffin |

Total Pages | : 480 |

Release | : 2010-05-25 |

ISBN 10 | : 1429928603 |

ISBN 13 | : 9781429928601 |

Language | : EN, FR, DE, ES & NL |

**Infinity Book Description:**

At fourteen, Nick Gautier thinks he knows everything about the world around him. Streetwise, tough, and savvy, his quick sarcasm is the stuff of legends. . .until the night when his best friends try to kill him. Saved by a mysterious warrior who has more fighting skills than Chuck Norris, the teenaged Nick is sucked into the realm of the Dark-Hunters: immortal vampire slayers who risk everything to save humanity. Nick quickly learns that the human world is only a veil for a much larger and more dangerous one: a world where the captain of the football team is a werewolf and the girl he has a crush on goes out at night to stake the undead. But before he can even learn the rules of this new world, his fellow students are turning into flesh-eating zombies--and he's next on the menu. As if starting high school isn't hard enough. . .now Nick has to hide his new friends from his mom, his chain saw from the principal, and keep the zombies and the demon Simi from eating his brains, all without getting grounded or suspended. How in the world is he supposed to do that?

## Totality and Infinity

Author | : E. Levinas |

Publisher | : Springer Science & Business Media |

Total Pages | : 297 |

Release | : 2012-12-06 |

ISBN 10 | : 9789400993426 |

ISBN 13 | : 9400993420 |

Language | : EN, FR, DE, ES & NL |

**Totality and Infinity Book Description:**

Ever since the beginning of the modern phenomenological movement disciplined attention has been paid to various patterns of human experi ence as they are actually lived through in the concrete. This has brought forth many attempts to tind a general philosophical position which can do justice to these experiences without reduction or distQrtion. In France, the best known of these recent attempts have been made by Sartre in his Being and Nothingness and by Merleau-Ponty in his Phenomenol ogy of Perception and certain later fragments. Sartre has a keen sense for life as it is lived, and his work is marked by many penetrating descrip tions. But his dualistic ontology of the en-soi versus the pour-soi has seemed over-simple and inadequate to many critics, and has been seriously qualitied by the author himself in his latest Marxist work, The Critique of Dialetical Reason. Merleau-Ponty's major work is a lasting contri but ion to the phenomenology of the pre-objective world of perception. But asi de from a few brief hints and sketches, he was unable, before his unfortunate death in 1961, to work out carefully his ultimate philosophi cal point of view. This leaves us then with the German philosopher, Heidegger, as the only contemporary thinker who has formulated a total ontology which claims to do justice to the stable results of phenomenology and to the liv ing existential thought of our time.

## Infinity and Perspective

Author | : Karsten Harries |

Publisher | : MIT Press |

Total Pages | : 380 |

Release | : 2002-08-23 |

ISBN 10 | : 026258218X |

ISBN 13 | : 9780262582186 |

Language | : EN, FR, DE, ES & NL |

**Infinity and Perspective Book Description:**

A philosophical exploration of the origin and limits of the modern world.

## To Infinity and Beyond

Author | : Eli Maor |

Publisher | : Princeton University Press |

Total Pages | : 284 |

Release | : 1991 |

ISBN 10 | : 0691025118 |

ISBN 13 | : 9780691025117 |

Language | : EN, FR, DE, ES & NL |

**To Infinity and Beyond Book Description:**

Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the horror infiniti of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates.--Los Angeles Times [Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama.--Choice Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics.--Science -- "Science"

## Infinity

Author | : Michael Heller |

Publisher | : Cambridge University Press |

Total Pages | : |

Release | : 2011-02-07 |

ISBN 10 | : 9781139495561 |

ISBN 13 | : 1139495569 |

Language | : EN, FR, DE, ES & NL |

**Infinity Book Description:**

This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.