## 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.

## 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.

## Understanding Infinity

 Author : Anthony Gardiner Publisher : Courier Corporation Total Pages : 308 Release : 2002-01-01 ISBN 10 : 048642538X ISBN 13 : 9780486425382 Language : EN, FR, DE, ES & NL

Understanding Infinity Book Description:

Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

## Naming Infinity

 Author : Loren Graham Publisher : Harvard University Press Total Pages : 256 Release : 2009-03-31 ISBN 10 : 9780674053915 ISBN 13 : 0674053915 Language : EN, FR, DE, ES & NL

Naming Infinity Book Description:

In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

## Fictions of Infinity

 Author : Martin Riedelsheimer Publisher : Walter de Gruyter GmbH & Co KG Total Pages : 256 Release : 2020-10-12 ISBN 10 : 9783110712421 ISBN 13 : 3110712423 Language : EN, FR, DE, ES & NL

Fictions of Infinity Book Description:

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 infinite in Emmanuel Levinas’s ethics, the function of such ‘fictions of infinity’ turns out to be ethical: infinite textuality disrupts reading patterns and calls into question the reader’s spontaneity to interpret. This hypothesis is put to the test in detailed readings of four 21st-century novels, David Mitchell’s Cloud Atlas, Jeanette Winterson’s The Stone Gods, Ian McEwan’s Saturday and John Banville’s The Infinities. This book thus combines ethical criticism with structural aesthetics to uncover ethical potential in fiction.

## Infinity

 Author : Ramael S. Publisher : iUniverse Total Pages : 56 Release : 2012-04 ISBN 10 : 9781469773933 ISBN 13 : 1469773937 Language : EN, FR, DE, ES & NL

Infinity Book Description:

JOIN AFREL AND AFRODITE AS THEY ENDURE THE FIGHT OF THEIR LIVES IN THEIR QUEST TO STOP THE COMET DESTINED TO DOOM THE EARTH. THEY NOT ONLY FIGHT THE COMET ITSELF BUT THOSE FORCES OUT TO KEEP IT'S EXISTENCE A SECRET. WITH ALL THAT THEY'RE UP AGAINST, STOPPING THE COMET WILL BE THE EASY PART.

## 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.

## Infinity Over Zero

 Author : Cole Coonce Publisher : Kerosene Bomb Publishing Total Pages : 264 Release : 2002 ISBN 10 : 9780971997707 ISBN 13 : 0971997705 Language : EN, FR, DE, ES & NL

Infinity Over Zero Book Description:

meditations on maximum velocity and the land speed record

## On Infinity

 Author : Augustus De Morgan Publisher : Total Pages : 45 Release : 1865 ISBN 10 : UOM:39015017349971 ISBN 13 : Language : EN, FR, DE, ES & NL

On Infinity Book Description:

## Study of the Critical Points at Infinity Arising from the Failure of the Palais Smale Condition for n Body Type Problems

 Author : Hasna Riahi Publisher : American Mathematical Soc. Total Pages : 112 Release : 1999 ISBN 10 : 9780821808733 ISBN 13 : 0821808737 Language : EN, FR, DE, ES & NL

Study of the Critical Points at Infinity Arising from the Failure of the Palais Smale Condition for n Body Type Problems Book Description:

In this work, the author examines the following: When the Hamiltonian system $m_i \ddot{q}_i + (\partial V/\partial q_i) (t,q) =0$ with periodicity condition $q(t+T) = q(t),\; \forall t \in \mathfrak R$ (where $q_{i} \in \mathfrak R^{\ell}$, $\ell \ge 3$, $1 \le i \le n$, $q = (q_{1},...,q_{n})$ and $V = \sum V_{ij}(t,q_{i}-q_{j})$ with $V_{ij}(t,\xi)$ $T$-periodic in $t$ and singular in $\xi$ at $\xi = 0$) is posed as a variational problem, the corresponding functional does not satisfy the Palais-Smale condition and this leads to the notion of critical points at infinity. This volume is a study of these critical points at infinity and of the topology of their stable and unstable manifolds. The potential considered here satisfies the strong force hypothesis which eliminates collision orbits. The details are given for 4-body type problems then generalized to n-body type problems.