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set of assumptions

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  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • Set cover problem — The set covering problem is a classical question in computer science and complexity theory. As input you are given several sets. They may have some elements in common. You must select a minimum number of these sets so that the sets you have… …   Wikipedia

  • 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

  • Thin set (Serre) — In mathematics, a thin set in the sense of Serre is a certain kind of subset constructed in algebraic geometry over a given field K , by allowed operations that are in a definite sense unlikely . The two fundamental ones are: solving a polynomial …   Wikipedia

  • Autocatalytic set — An autocatalytic set is a collection of entities, each of which can be created catalytically by other entities within the set, such that as a whole, the set is able to catalyze its own production. In this way the set as a whole is said to be… …   Wikipedia

  • Constructible set (topology) — For a Gödel constructive set, see constructible universe. In topology, a constructible set in a noetherian topological space is a finite union of locally closed sets. (A set is locally closed if it is the intersection of an open set and closed… …   Wikipedia

  • Kripke–Platek set theory with urelements — The Kripke–Platek set theory with urelements (KPU) is an axiom system for set theory with urelements that is considerably weaker than the familiar system ZF. PreliminariesThe usual way of stating the axioms presumes a two sorted first order… …   Wikipedia

  • Cabal (set theory) — The Cabal was, or perhaps is, a grouping of set theorists in Southern California, particularly at UCLA and Caltech, perhaps also at UC Irvine. Organization and procedures range from informal to nonexistent, so it is difficult to say whether it… …   Wikipedia

  • Statistical inference — In statistics, statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference,… …   Wikipedia

  • logic, philosophy of — Philosophical study of the nature and scope of logic. Examples of questions raised in the philosophy of logic are: In virtue of what features of reality are the laws of logic true? ; How do we know the truths of logic? ; and Could the laws of… …   Universalium

  • Presuppositional apologetics — is a school of Christian apologetics, a field of Christian theology that aims to (1) present a rational basis for the Christian faith, (2) defend the faith against objections, and (3) expose the perceived flaws of other worldviews. [Frame (1994) …   Wikipedia

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