Set Theory and Hierarchy Theory V
Author : A. Lachlan
Publisher : Springer
Page : 353 pages
File Size : 29,72 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540370323
Set Theory and Hierarchy Theory
Author : W. Marek
Publisher : Springer
Page : 344 pages
File Size : 12,78 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540381228
Book Description
The Philosophy of Set Theory
Author : Mary Tiles
Publisher : Courier Corporation
Page : 258 pages
File Size : 15,40 MB
Release : 2012-03-08
Category : Mathematics
ISBN : 0486138550
Book Description
DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div
Set Theory and Its Philosophy
Author : Michael D. Potter
Publisher : Clarendon Press
Page : 345 pages
File Size : 17,11 MB
Release : 2004
Category : Mathematics
ISBN : 9780199269730
Book Description
A wonderful new book ... Potter has written the best philosophical introduction to set theory on the market - Timothy Bays, Notre Dame Philosophical Reviews.
A Book of Set Theory
Author : Charles C Pinter
Publisher : Courier Corporation
Page : 259 pages
File Size : 38,24 MB
Release : 2014-07-23
Category : Mathematics
ISBN : 0486497089
Book Description
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
From Sets and Types to Topology and Analysis
Author : Laura Crosilla
Publisher : Oxford University Press
Page : 371 pages
File Size : 22,73 MB
Release : 2005-10-06
Category : Mathematics
ISBN : 0198566514
Book Description
Bridging the foundations and practice of constructive mathematics, this text focusses on the contrast between the theoretical developments - which have been most useful for computer science - and more specific efforts on constructive analysis, algebra and topology.
Set Theory of the Continuum
Author : Haim Judah
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 14,1 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461397545
Book Description
Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 1989-90, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of set-theoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J.Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin.
The Axiom of Constructibility
Author : K. J. Devlin
Publisher : Springer
Page : 105 pages
File Size : 35,15 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 354037034X
Book Description
Hierarchy Theory
Author : Valerie Ahl
Publisher : Columbia University Press
Page : 224 pages
File Size : 37,53 MB
Release : 1996
Category : Computers
ISBN : 9780231084819
Book Description
This basic guide introduces the relationships between observation, perception, and learning that form the substance of hierarchy theory. This theory aims to answer the question of whether there is a basic structure to nature, comprising discreet levels of organization within an overall pattern.
Lectures on the Philosophy of Mathematics
Author : Joel David Hamkins
Publisher : MIT Press
Page : 350 pages
File Size : 32,54 MB
Release : 2021-03-09
Category : Mathematics
ISBN : 0262542234
Book Description
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
