infinitary combinatorics

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• Infinitary combinatorics — In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied include continuous graphs and trees, extensions of Ramsey s theorem, and Martin s axiom …   Wikipedia

• Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… …   Wikipedia

• Outline of combinatorics — See also: Index of combinatorics articles The following outline is presented as an overview of and topical guide to combinatorics: Combinatorics – branch of mathematics concerning the study of finite or countable discrete structures. Contents 1… …   Wikipedia

• List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   Wikipedia

• Комбинаторика — (Комбинаторный анализ)  раздел математики, изучающий дискретные объекты, множества (сочетания, перестановки, размещения и перечисления элементов) и отношения на них (например, частичного порядка). Комбинаторика связана со многими другими… …   Википедия

• Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

• Arrow notation — may refer to: *Conway chained arrow notation *Knuth s up arrow notation *Infinitary combinatorics …   Wikipedia

• Matthew Foreman — Matthew Dean Foreman (born March 21, 1957) is a set theorist at University of California, Irvine. He has made contributions in widely varying areas of set theory, including descriptive set theory, forcing, and infinitary combinatorics. Foreman… …   Wikipedia

• Reinhardt cardinal — In set theory, a branch of mathematics, a Reinhardt cardinal is a large cardinal kappa;, suggested by harvs|txt=yes|last=Reinhardt|year=1967|year2=1974, that is the critical point of a non trivial elementary embedding j of V into itself.A minor… …   Wikipedia

• Discrete mathematics — For the mathematics journal, see Discrete Mathematics (journal). Graphs like this are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real world problems, and their… …   Wikipedia

• Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …   Wikipedia