Set theory - Wikipedia, the free encyclopedia
Set theory is the branch of mathematics that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that ...
en.wikipedia.org/wiki/Set_theory
Wikipedia has related information at; set theory ... Set Theory starts very simply: it examines whether an object belongs, or does not belong to a set of objects which has been described in some non-ambiguous way.
en.wikibooks.org/wiki/Discrete_Mathematics/Set_theory en.wikibooks.org/wiki/Discrete_Mathematics/Set_theory
KEYWORDS: Textbook, Platonism, intuition and the nature of mathematics, Axiomatic set theory, First order arithmetic, Hilbert's Tenth problem, Incompleteness theorems, Around Goedel's theorem, About model theory...
archives.math.utk.edu/topics/logic.html archives.math.utk.edu/topics/logic.html
A history of set theory Algebra index History Topics Index The history of set theory is rather different from the history of most other areas of mathematics. ... Set Theory Page ... Home > Science > Mathematics > Set Theory;
www.einet.net/directory/14878/Set_Theory.htm www.einet.net/directory/14878/Set_Theory.htm
In this sense, set theory serves as Foundations of Mathematics. The significance of this is that all questions of provability (or unprovability) of mathematical statements can be in principle reduced to formal questions of formal derivability from the generally accepted axioms of Set Theory.
plato.stanford.edu/entries/set-theory/ plato.stanford.edu/entries/set-theory/
Dan Rinne ; Mon Jul 8 15:30:05 PDT 1996 ... Notation and Terminology ... More on set operations...
www.math.csusb.edu/notes/sets/sets.html www.math.csusb.edu/notes/sets/sets.html
From Dave Rusin's "Known Math" collection. ... Since most of mathematics can be interpreted in set theory, one may then also "fuzzify" other branches of math: one has for example fuzzy group theory (where G is a fuzzy set with the group theory axioms), fuzzy analysis, and fuzzy topology.
www.math.niu.edu/~rusin/known-math/index/03EXX.html www.math.niu.edu/~rusin/known-math/index/03EXX.html
Karel Prikry ... [ prikry@math.umn.edu] ; Professor , Ph.D. 1968 University of California Berkeley ; set theory, measure theory, boolean algebras ... Enter keyword search...
www.math.umn.edu/grad/areas/logic.html www.math.umn.edu/grad/areas/logic.html
Public lectures: What is mathematics? - What is science? Science is modeling! ... 2. Axiomatic set theory ... 2.1. The origin of Cantor's set theory...
www.ltn.lv/~podnieks/gt.html
The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to Set Theory. ... Logic and Set Theory (Mathematics Archives) - University of Tennessee, Knoxville (UTK); An extensive list of links to sites with...
mathforum.org/library/topics/set_theory/ mathforum.org/library/topics/set_theory/
Definitions