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Download as PDF; Printable version; In other projects ... an alternative set theory is any of the alternative mathematical approaches to the concept of set and any ...
Download QR code; Print/export Download as PDF; ... This page is a list of articles related to set theory. Articles on individual set theory topics
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.
Download QR code; Print/export Download as PDF; Printable version; In other projects ... "The evolution of large cardinal axioms in set theory". Higher Set Theory ...
Download QR code; Print/export Download as PDF; Printable version; ... This category is for the foundational concepts of naive set theory, ...
Set Theory: An Introduction to Independence Proofs is a textbook and reference work in set theory by Kenneth Kunen. It starts from basic notions, including the ZFC axioms, and quickly develops combinatorial notions such as trees , Suslin's problem , , and Martin's axiom .
While von Neumann–Bernays–Gödel set theory is a conservative extension of Zermelo–Fraenkel set theory (ZFC, the canonical set theory) in the sense that a statement in the language of ZFC is provable in NBG if and only if it is provable in ZFC, Morse–Kelley set theory is a proper extension of ZFC. Unlike von Neumann–Bernays–Gödel ...
Naive set theory is the original set theory developed by mathematicians at the end of the 19th century, treating sets simply as collections of things. Axiomatic set theory is a rigorous axiomatic theory developed in response to the discovery of serious flaws (such as Russell's paradox ) in naive set theory.