uncountable set

  • 41Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …

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  • 42Mathematical 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… …

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  • 43Counterexamples in Topology —   Author(s) Lynn Arthur Steen J. Ar …

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  • 44Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …

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  • 45Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …

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  • 46Intuitionism — This article is about Intuitionism in mathematics and philosophical logic. For other uses, see Ethical intuitionism. In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as …

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  • 47Probability space — This article is about mathematical term. For the novel, see Probability Space (novel). In probability theory, a probability space or a probability triple is a mathematical construct that models a real world process (or experiment ) consisting of… …

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  • 48Zero sharp — In the mathematical discipline of set theory, 0# (zero sharp, also 0#) is defined to be a particular real number satisfying certain conditions, namely, to be the real number that codes in the canonical way the Gödel numbers of the true formulas… …

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  • 49Mixture distribution — See also: Mixture model In probability and statistics, a mixture distribution is the probability distribution of a random variable whose values can be interpreted as being derived in a simple way from an underlying set of other random variables.… …

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  • 50Cantor, Georg — born March 3, 1845, St. Petersburg, Russia died Jan. 6, 1918, Halle, Ger. German mathematician, founder of set theory. He was the first to examine number systems, such as the rational numbers and the real numbers, systematically as complete… …

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