Contributions to the Founding of the Theory of Transfinite Numbers

Contributions to the Founding of the Theory of Transfinite Numbers PDF Author: Georg Cantor
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 236

Get Book Here

Book Description

Contributions to the Founding of the Theory of Transfinite Numbers

Contributions to the Founding of the Theory of Transfinite Numbers PDF Author: Georg Cantor
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 236

Get Book Here

Book Description


A Transfinite Type Theory with Type Variables

A Transfinite Type Theory with Type Variables PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080957579
Category : Computers
Languages : en
Pages : 161

Get Book Here

Book Description
A Transfinite Type Theory with Type Variables

Pristine Transfinite Graphs and Permissive Electrical Networks

Pristine Transfinite Graphs and Permissive Electrical Networks PDF Author: Armen H. Zemanian
Publisher: Springer Science & Business Media
ISBN: 1461201632
Category : Mathematics
Languages : en
Pages : 189

Get Book Here

Book Description
This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks.

The Dark Mind

The Dark Mind PDF Author: Colin Kapp
Publisher: Gateway
ISBN: 0575133740
Category : Fiction
Languages : en
Pages : 138

Get Book Here

Book Description
FAILWAY- the organisation whose process could break through into an inferior energy level, transporting the people into other dimensions, bringing them pleasures simple, exciting, exotic or erotic... FAILWAY- a police state, which tolerated no opposition. It was ruthless, thorough, and invariably fatal to its opponents... FAILWAY- against whose other-world power stood one man... DALROI

The Theory of Sets and Transfinite Arithmetic

The Theory of Sets and Transfinite Arithmetic PDF Author: Alexander Abian
Publisher:
ISBN:
Category : Set theory
Languages : en
Pages : 432

Get Book Here

Book Description


Transfinite Life

Transfinite Life PDF Author: Bruce Rosenstock
Publisher:
ISBN: 9780253029706
Category : Philosophy
Languages : en
Pages : 270

Get Book Here

Book Description
Oskar Goldberg was an important and controversial figure in Weimar Germany. He challenged the rising racial conception of the state and claimed that the Jewish people were on a metaphysical mission to defeat race-based statism. He attracted the attention of his contemporaries--Walter Benjamin, Gershom Scholem, Thomas Mann, and Carl Schmitt, among others--with the argument that ancient Israel's sacrificial rituals held the key to overcoming the tyranny of technology in the modern world. Bruce Rosenstock offers a sympathetic but critical philosophical portrait of Goldberg and puts him into conversation with Jewish and political figures that circulated in his cultural environment. Rosenstock reveals Goldberg as a deeply imaginative and broad-minded thinker who drew on biology, mathematics, Kabbalah, and his interests in ghost photography to account for the origin of the earth. Caricatured as a Jewish proto-fascist in his day, Goldberg's views of the tyranny of technology, biopolitics, and the "new vitalism" remain relevant to this day.

Transfiniteness

Transfiniteness PDF Author: Armen H. Zemanian
Publisher: Springer Science & Business Media
ISBN: 1461207673
Category : Mathematics
Languages : en
Pages : 252

Get Book Here

Book Description
"What good is a newborn baby?" Michael Faraday's reputed response when asked, "What good is magnetic induction?" But, it must be admitted that a newborn baby may die in infancy. What about this one- the idea of transfiniteness for graphs, electrical networks, and random walks? At least its bloodline is robust. Those subjects, along with Cantor's transfinite numbers, comprise its ancestry. There seems to be general agreement that the theory of graphs was born when Leonhard Euler published his solution to the "Konigsberg bridge prob lem" in 1736 [8]. Similarly, the year of birth for electrical network theory might well be taken to be 184 7, when Gustav Kirchhoff published his volt age and current laws [ 14]. Ever since those dates until just a few years ago, all infinite undirected graphs and networks had an inviolate property: Two branches either were connected through a finite path or were not connected at all. The idea of two branches being connected only through transfinite paths, that is, only through paths having infinitely many branches was never invoked, or so it appears from a perusal of various surveys of infinite graphs [17], [20], [29], [32]. Our objective herein is to explore this idea and some of its ramifications. It should be noted however that directed graphs having transfinite paths have appeared in set theory [6, Section 4.

Understanding the Infinite

Understanding the Infinite PDF Author: Shaughan Lavine
Publisher: Harvard University Press
ISBN: 0674265335
Category : Mathematics
Languages : en
Pages : 262

Get Book Here

Book Description
An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice

Mathematics and the Historian's Craft

Mathematics and the Historian's Craft PDF Author: Michael Kinyon
Publisher: Springer Science & Business Media
ISBN: 0387282726
Category : Mathematics
Languages : en
Pages : 366

Get Book Here

Book Description
The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility

Forever Finite

Forever Finite PDF Author: Kip K. Sewell
Publisher: Rond Books
ISBN:
Category : Philosophy
Languages : en
Pages : 828

Get Book Here

Book Description
INFINITY IS NOT WHAT IT SEEMS… Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes in a divine Creator infinite in knowledge, power, and benevolence. According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, Forever Finite offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology.