Ernst Zermelo PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Ernst Zermelo PDF full book. Access full book title Ernst Zermelo by Heinz-Dieter Ebbinghaus. Download full books in PDF and EPUB format.
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3540495533
Category : Mathematics
Languages : en
Pages : 368
Get Book Here
Book Description
This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3540495533
Category : Mathematics
Languages : en
Pages : 368
Get Book Here
Book Description
This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
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
Author: Gregory H. Moore
Publisher: Courier Corporation
ISBN: 0486488411
Category : Mathematics
Languages : en
Pages : 450
Get Book Here
Book Description
"This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--
Author: Kurt Gödel
Publisher: Oxford University Press
ISBN: 0198500750
Category : Computers
Languages : en
Pages : 691
Get Book Here
Book Description
The collected works of Kurt Godel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Author: Lorenz J. Halbeisen
Publisher: Springer Science & Business Media
ISBN: 1447121732
Category : Mathematics
Languages : en
Pages : 449
Get Book Here
Book Description
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
Author: Andrés Eduardo Caicedo
Publisher: American Mathematical Soc.
ISBN: 1470422565
Category : Mathematics
Languages : en
Pages : 346
Get Book Here
Book Description
This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.
Author:
Publisher: Springer Nature
ISBN: 3662700573
Category :
Languages : en
Pages : 244
Get Book Here
Book Description
Author: Corry Shores
Publisher: Bloomsbury Publishing
ISBN: 1350062278
Category : Philosophy
Languages : en
Pages : 313
Get Book Here
Book Description
French philosopher Gilles Deleuze wrote two 'logic' books: Francis Bacon: The Logic of Sensation and The Logic of Sense. However, in neither of these books nor in any other works does Deleuze articulate in a formal way the features of the logic he employs. He certainly does not use classical logic. And the best options for the non-classical logic that he may be implementing are: fuzzy, intuitionist, and many-valued. These are applicable to his concepts of heterogeneous composition and becoming, affirmative synthetic disjunction, and powers of the false. In The Logic of Gilles Deleuze: Basic Principles, Corry Shores examines the applicability of three non-classical logics to Deleuze's philosophy, by building from the philosophical and logical writings of Graham Priest, the world's leading proponent of dialetheism. Through so doing, Shores argues that Deleuze's logic is best understood as a dialetheic, paraconsistent, many-valued logic.
Author: Robert Arp
Publisher: Simon and Schuster
ISBN: 1667201743
Category : Social Science
Languages : en
Pages : 960
Get Book Here
Book Description
Trace the progress of humanity—from prehistoric times to the present day—through 1,001 ideas that changed how we connect to each other and the world around us. From the ability to control fire to augmented reality, the power of humanity’s ideas has revolutionized how we live and experience the world around us. 1001 Ideas That Changed the Way We Think looks at the innovations and concepts that have played a key role in our progress since before recorded history. Covering a wide range of topics—from political and religious ideas to modern innovations such as social media and clean energy—this captivating volume offers a comprehensive look at how human ideas have evolved over the millennia.
Author: John Stillwell
Publisher: CRC Press
ISBN: 1439865507
Category : Mathematics
Languages : en
Pages : 202
Get Book Here
Book Description
Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h
