Mathematical set | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-10-07

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Set_(mathematics)


00:00:06 1 Etymology
00:00:13 2 Definition
00:00:19 3 Set notation
00:00:26 3.1 Roster notation
00:00:32 3.2 Set-builder notation
00:00:39 3.3 Other ways of defining sets
00:00:45 4 Membership
00:00:52 4.1 Subsets
00:00:58 4.2 Partitions
00:01:05 4.3 Power sets
00:01:11 5 Cardinality
00:01:18 6 Special sets
00:01:24 7 Basic operations
00:01:31 7.1 Unions
00:01:37 7.2 Intersections
00:01:44 7.3 Complements
00:01:50 7.4 Cartesian product
00:01:57 8 Applications
00:02:00 9 Axiomatic set theory
00:02:07 10 Principle of inclusion and exclusion
00:02:13 11 De Morgan's laws
00:02:20 12 See also
00:02:26 13 Notes
00:02:33 14 References
00:02:39 15 External links
00:02:46 | B × A |
00:02:52 Applications
00:02:59 x2.  The reason these two are equivalent is for any given value, y that the function is defined for, its corresponding ordered pair, (y, y2) is a member of the set F.
00:03:06 Axiomatic set theory
00:03:12 Principle of inclusion and exclusion
00:03:28 De Morgan's laws
00:03:35 A′ ∪ B′The complement of A intersected with B is equal to the complement of A union to the complement of B.
00:03:41 See also
00:03:45 



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SUMMARY
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In mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right. For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2, 4, 6}. The concept of a set is one of the most fundamental in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived.