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A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
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.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. [3] Unlike axiomatic set theories, which are defined using formal logic, naive set theory is defined informally, in natural language.
The Venn diagram is a commonly used method to illustrate the relations between sets. The two subjects of mathematical logic and set theory have belonged to mathematics since the end of the 19th century.
File information Description Venn Diagrams Representing all Intersectional Logic Gates Between Two Inputs. Based on Image:LogicGates.jpg.. Source I (ZanderSchubert ()) created this work entirely by myself.
Edwards-Venn diagram for 6 sets. Traced from Image:Edwards-Venn-six.png . Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License , Version 1.2 or any later version published by the Free Software Foundation ; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover ...
Hasse diagram of the Boolean algebra of divisors of 30. For any natural number n, the set of all positive divisors of n, defining a ≤ b if a divides b, forms a distributive lattice. This lattice is a Boolean algebra if and only if n is square-free. The bottom and the top elements of this Boolean algebra are the natural numbers 1 and n ...
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