Cardinal numbers | Basic concepts in set theory

Finite set

In mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could in principle count and finish counting. For example, is a finite set with five elements. The number of elements of a finite set is a natural number (possibly zero) and is called the cardinality (or the cardinal number) of the set. A set that is not a finite set is called an infinite set. For example, the set of all positive integers is infinite: Finite sets are particularly important in combinatorics, the mathematical study of counting. Many arguments involving finite sets rely on the pigeonhole principle, which states that there cannot exist an injective function from a larger finite set to a smaller finite set. (Wikipedia).

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From playlist Sets

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From playlist Basics: College Algebra

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From playlist Sets (Discrete Math)

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From playlist Set Theory

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From playlist Set Theory

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This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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From playlist Advanced Calculus

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From playlist Sets (Discrete Math)

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https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html

From playlist Fundamentals of Mathematics

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From playlist Stability and Testability

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From playlist Real Analysis

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From playlist Course 6: Introduction to Analysis

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From playlist Course 6: Introduction to Analysis (Fall 2017)

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From playlist Point Set Topology

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From playlist [Shai Simonson]Theory of Computation

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From playlist Foundations seminar

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