Descriptive set theory

Coanalytic set

In the mathematical discipline of descriptive set theory, a coanalytic set is a set (typically a set of real numbers or more generally a subset of a Polish space) that is the complement of an analytic set (Kechris 1994:87). Coanalytic sets are also referred to as sets (see projective hierarchy). (Wikipedia).

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Determine Sets Given Using Set Notation (Ex 2)

This video provides examples to describing a set given the set notation of a set.

From playlist Sets (Discrete Math)

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Power Set of the Power Set of the Power Set of the Empty Set | Set Theory

The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p

From playlist Set Theory

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Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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Finite and Infinite Sets

This video defines finite and infinite sets. http://mathispower4u.com

From playlist Sets

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Set Theory (Part 3): Ordered Pairs and Cartesian Products

Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser

From playlist Set Theory by Mathoma

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Intermediate Algebra-Sets

Intermediate Algebra-Sets

From playlist Intermediate Algebra

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What is a Set Complement?

What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go

From playlist Set Theory

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Set Theory (Part 18): The Rational Numbers are Countably Infinite

Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a

From playlist Set Theory by Mathoma

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Set Theory (Part 1): Notation and Operations

Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make

From playlist Set Theory by Mathoma

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Hereditarily finite sets

In this video I give an implementation of the power set operation for a crude notion of sets. I then use it to general the hereditarily finite set. I'm motivated both by providing a nice elaboration of a simple model of the ZFC axioms as well as giving a bridge to talk about the AVL-tree d

From playlist Programming

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The perfect number of axioms | Axiomatic Set Theory, Section 1.1

In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T

From playlist Axiomatic Set Theory

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What is the Power Set of the Empty Set? | Set Theory

What is the power set of the empty set? We will answer this question in today’s math lesson! We will write the empty set like so: { }. Recall that the power set of a set A is the set containing all subsets of A. So, for example, P({ 1 }) = { { }, { 1 } }. Also, recall that if the cardinali

From playlist Set Theory

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SUBSETS AND POWER SETS - DISCRETE MATHEMATICS

Today we look at subsets and power sets. This includes the empty set, and the power set of the empty set. Support me on Patreon: http://bit.ly/2EUdAl3 Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.y

From playlist Discrete Math 1

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Find All Subsets of a Set (Example Problems) | Set Theory Exercises

How do you find all subsets of a given set? We go over eight subset example problems in today's lesson, including sets with the empty set, the empty set itself, sets with strange elements like the real numbers and the rationals, and more. We also briefly mention power sets, and the number

From playlist Set Theory

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Sets (data structure) - Beau teaches JavaScript

See how the set data structure can be implemented. Also learn about the es6 Set object. Code: 🔗 http://codepen.io/beaucarnes/pen/dvGeeq?editors=0012 More information: 🔗 https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Set Beau Carnes on Twitter: https://

From playlist Data Structures and Algorithms - Beau teaches JavaScript

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Determine Sets Involving Unions, Intersections, and Compliments Using a Venn Diagram

This video explains how to determine a variety of sets involving intersections, unions, and compliments using a Venn diagram.

From playlist Sets (Discrete Math)

Related pages

Descriptive set theory | Analytic set | Set (mathematics) | Real number | Polish space | Projective hierarchy