Set Theory History | Reference.com

The history of set theory is rather different from the history of most other areas of mathematics. For most areas a long process can usually be traced in which ideas evolve until an ultimate flash of inspiration, often by a number of mathematicians almost simultaneously, produces a discovery of major importance.

www-history.mcs.st-and.ac.uk/HistTopics/Beginnings_of_s... www-history.mcs.st-and.ac.uk/HistTopics/Beginnings_of_set_theory.html

Set Theory (Stanford Encyclopedia of Philosophy)

One of the basic principles of set theory is the existence of an infinite set. The concept can be formulated precisely in the language of set theory, using only the membership relation, and the definition captures the ... The history of the Axiom of Choice bears strong resemblance to that of the other notorious axiom,

plato.stanford.edu/entries/set-theory/ plato.stanford.edu/entries/set-theory/

03E: Set theory

Naive set theory considers elementary properties of the union and intersection operators -- Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusion-exclusion principle, ... One can certainly do no better describing the history of Set Theory than the people at St Andrew's.

www.math.niu.edu/~rusin/known-math/index/03EXX.html

Set Theory -- from Wolfram MathWorld

Ferreirós, J. Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics. Basel, Switzerland: Birkhäuser, 1999. ...

mathworld.wolfram.com/SetTheory.html mathworld.wolfram.com/SetTheory.html

Set Theory Course (F01): Lecture 1 A Short History of Set Theory (PDF File)

Set Theory Course (F01): Lecture 1 A Short History of Set Theory Cantor Origin in the study of series; development of the basic concepts and theorems; the Continuum Hypothesis. Frege Set-theory in its foundational role (as a basis for arithmetic and analysis).

www.nyu.edu/gsas/dept/philo/courses/settheory/lecture1.... www.nyu.edu/gsas/dept/philo/courses/settheory/lecture1.pdf

Some Early History of Set Theory

Problems with definitions of what a set could be go back very far. Note that since George Boole (1815 - 1864) showed how Set Theory and Logic are really the same thing, these problems can crop up in a logical background.

www.gap-system.org/~john/analysis/Lectures/A2.html

Set Theory

a collection of links to set theory history, especially of mathematicians who had an impact on set theory; last updated 2001/06/28 ... Some history and biography resources ... Georg Cantor, 1845-1918, foundations of set theory, ordinal and cardinal numbers.

www.math.ufl.edu/~jal/set_theory/history.html www.math.ufl.edu/~jal/set_theory/history.html

Set theory -- History (subject at ISBNdb.com)

Labyrinth of thought: a history of set theory and its role in modern mathematics; José Ferreirós, Publisher: Basel ; Birkhäuser, c2007. ISBN: 3764383496 ... Set theory -- History; Referred from 8 books ... "Set theory" -- Topical Term, 650/a; Similar Subjects: Set theory (341); Axiomatic set theory (69);

isbndb.com/d/subject/set_theory_history.html isbndb.com/d/subject/set_theory_history.html

Set theory -- History -- 19th century (subject at ISBNdb.com)

The search for mathematical roots, 1870-1940: logics, set theories, and the foundations of mathematics from Cantor through Russell to Gödel; I. Grattan-Guinness; Publisher: Princeton, N.J. : Princeton University Press, 2000. ISBN: 069105858X DDC: ... Set theory -- History -- 19th century; Referred from 2 books...

isbndb.com/d/subject/set_theory_history_19th_century.ht... isbndb.com/d/subject/set_theory_history_19th_century.html