set-theoretical
11Finite set — In mathematics, a set is called finite if there is a bijection between the set and some set of the form {1, 2, ..., n} where n is a natural number. (The value n = 0 is allowed; that is, the empty set is finite.) An infinite set is a set which is… …
12Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… …
13Zermelo set theory — Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article… …
14Quasi-set theory — is a formal mathematical theory of collections of indistinguishable objects, mainly motivated by the assumption that certain objects treated in quantum physics are indistinguishable. Quasi set theory is closely related to, yet distinct from,… …
15Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… …
16Rough set — A rough set originated by prof. Zdzisław I. Pawlak is a formal approximation of a crisp set (i.e., conventional set ) in terms of a pair of sets which give the lower and the upper approximation of the original set. The lower and upper… …
17Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… …
18Causal set theory bibliography — Main article: Causal Sets This Causal Set Theory Bibliography is intended to aid causal set research. It gathers together academic papers, books, talks and PhD theses related to causal set theory and is intended to help readers find references… …
19Feedback vertex set — In the mathematical discipline of graph theory, a feedback vertex set of a graph is a set of vertices whose removal leaves a graph without cycles. In other words, each feedback vertex set contains at least one vertex of any cycle in the graph.… …
20Upper set — The powerset algebra of the set {1,2,3,4} with the upset colored green. In mathematics, an upper set (also called an upward closed set or just an upset) of a partially ordered set (X,≤) is a subset U with the property that x is in …
