Search results
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was ...
Apr 10, 2007 · The Early Development of Set Theory. First published Tue Apr 10, 2007; substantive revision Thu Jun 18, 2020. Set theory is one of the greatest achievements of modern mathematics. Basically all mathematical concepts, methods, and results admit of representation within axiomatic set theory. Thus set theory has served quite a unique role by ...
Georg Cantor. Georg Ferdinand Ludwig Philipp Cantor ( / ˈkæntɔːr / KAN-tor, German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯]; 3 March [ O.S. 19 February] 1845 – 6 January 1918 [1]) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics.
Jun 3, 2024 · one-to-one correspondence. transfinite number. On the Web: Jewish Encyclopedia - Georg Cantor (June 03, 2024) Georg Cantor (born March 3, 1845, St. Petersburg, Russia—died January 6, 1918, Halle, Germany) was a German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely ...
- The Editors of Encyclopaedia Britannica
May 2, 2024 · Fundamental set concepts. In naive set theory, a set is a collection of objects (called members or elements) that is regarded as being a single object. To indicate that an object x is a member of a set A one writes x ∊ A, while x ∉ A indicates that x is not a member of A. A set may be defined by a membership rule (formula) or by listing its ...
Oct 8, 2014 · Set Theory. First published Wed Oct 8, 2014; substantive revision Tue Jan 31, 2023. Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. Pure set theory deals exclusively with sets, so the only sets under consideration are those whose members are also sets.
People also ask
Who invented set theory?
What is set theory?
Who was the first physicist to write a set theory?
Who proved set theory in 1895 and 1897?
Dedekind was working independently on irrational numbers and Dedekind published Continuity and irrational numbers. In 1874 Cantor published an article in Crelle 's Journal which marks the birth of set theory. A follow-up paper was submitted by Cantor to Crelle 's Journal in 1878 but already set theory was becoming the centre of controversy.
