In axiomatic set theory, a discipline within mathematics, a filter F in a poset is called D-generic if Set theory is a branch of mathematics created principally by the German mathematician Georg Cantor at the end of the 19th century. ... Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations related to: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... In mathematics, a filter is a special subset of a partially ordered set. ... In mathematics, a partially ordered set (or poset for short) is a set equipped with a special binary relation which formalizes the intuitive concept of an ordering. ...

for all E ∈ D

This definition is often used in the context of forcing, specifically in the Rasiowa-Sikorski lemma in axiomatic set theory. In mathematical logic, forcing is a technique in set theory, invented by Paul Cohen. ... Jump to: navigation, search In axiomatic set theory, a discipline within mathematics, the Rasiowa-Sikorski lemma is one of the most fundamental facts used in the technique of forcing in axiomatic set theory. ... Set theory is a branch of mathematics created principally by the German mathematician Georg Cantor at the end of the 19th century. ...

References

• K. Ciesielski, Set Theory for the Working Mathematician, London Mathematical Society