Aristotle on Mathematical Infinity

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

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

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

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

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

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

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

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

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

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.