Mathematical objects | Set theory

Set (mathematics)

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton. A set may have a finite number of elements or be an infinite set. Two sets are equal if they have precisely the same elements. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel set theory, has been the standard way to provide rigorous foundations for all branches of mathematics since the first half of the 20th century. (Wikipedia).

Set (mathematics)
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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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Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Introduction to Set Theory (Discrete Mathematics)

Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************

From playlist Set Theory

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Introduction to Set Theory

This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/

From playlist Sets

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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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Maths for Programmers: Sets (What Is A Set?)

We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod

From playlist Maths for Programmers

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Introduction to ADVANCED CALCULUS Sets and Notation

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to ADVANCED CALCULUS Sets and Notation - Definition of a Set and notion/symbols denoting set membership. - Set builder and interval notation. - Definition of union and intersection of sets and set complement. - The set

From playlist Advanced Calculus

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An Introduction to Sets (Set Theory)

What is a set in math? What are elements? What is cardinality? What are subsets? In this video we will answer all of those questions. We will pinpoint the definition of sets in math, talk about elements, explain what cardinality is, and what a subset is. I hope you find this video helpful,

From playlist Set Theory

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Five Stages of Accepting Constructive Mathematics - Andrej Bauer

Andrej Bauer University of Ljubljana, Slovenia; Member, School of Mathematics March 18, 2013 Discussions about constructive mathematics are usually derailed by philosophical opinions and meta-mathematics. But how does it actually feel to do constructive mathematics? A famous mathematician

From playlist Mathematics

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IMS Public Lecture - Can Every Mathematical Problem Be Solved?

Menachem Magidor, The Hebrew University of Jerusalem, Israel

From playlist Public Lectures

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The Mathematical Truth | Enrico Bombieri

Enrico Bombieri, Professor Emeritus, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/bombieri October 29, 2010 In this lecture, Professor Enrico Bombieri attempts to give an idea of the numerous different notions of truth in mathematics.

From playlist Mathematics

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Introduction and Invitation | Six: An Elementary Course in Pure Mathematics Six 1| Wild Egg

Welcome to Six --- an Elementary Course in Pure Mathematics meant for a general lay audience with a minimal amount of mathematical prerequisites! In this video we introduce the basic objects: the symbols 1,2,3,4,5 and 6 along with the basic tools to create more complex mathematical objec

From playlist Six: An elementary course in Pure Mathematics

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What Are Numbers? Philosophy of Mathematics (Elucidations)

What is mathematics about and how do we acquire mathematical knowledge? Mathematics seems to be about numbers, but what exactly are numbers? Are numbers and other mathematical objects something discovered or invented? Daniel Sutherland discusses some of these issues in the philosophy of ma

From playlist Logic & Philosophy of Mathematics

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Additive number theory: Extremal problems and the combinatorics of sum. (Lecture 4) by M. Nathanson

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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The Road to Gödel's Incompleteness Theorems - Juliette Kennedy

Friends Lunch with a Member Topic: The Road to Gödel's Incompleteness Theorems Speaker: Juliette Kennedy Date: November 22, 2019

From playlist Friends of the Institute

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Wolfram Physics Project: Axiomatization of the Computational Universe Tuesday, Feb. 16, 2021

This is a Wolfram Physics Project working session about the axiomatization of the Computational Universe. Begins at 1:36 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announceme

From playlist Wolfram Physics Project Livestream Archive

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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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SHM - 16/01/15 - Constructivismes en mathématiques - Henri Lombardi

Henri Lombardi (LMB, Université de Franche-Comté), « Foundations of Constructive Analysis, Bishop, 1967 : une refondation des mathématiques, constructive, minimaliste et révolutionnaire »

From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques

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Category of sets | Rough set | Mathematical object | Algebraic structure | Countable set | Equality (mathematics) | Set theory | Venn diagram | Closure (mathematics) | Rock paper scissors | Infinite set | Codomain | Gödel's incompleteness theorems | Intersection (set theory) | Group (mathematics) | Algebraic number | Mereology | Map (mathematics) | Permutation | Uncountable set | Domain of a function | Complement (set theory) | Fuzzy set | Symmetric difference | Paradoxes of the Infinite | Bernard Bolzano | Extensionality | Rational number | Foundations of mathematics | Sequence | E (mathematical constant) | Empty set | Independence (mathematical logic) | Naive set theory | Relation (mathematics) | Zermelo–Fraenkel set theory | Multiset | Dense set | Element (mathematics) | Universe (mathematics) | Line segment | Natural number | Function (mathematics) | Field (mathematics) | De Morgan's laws | Integer | Partition of a set | Algebra of sets | Family of sets | Pi | Real number | Euclidean space | Euler diagram | Cartesian product | Boolean ring | Alternative set theory | Mathematical model | Ring (mathematics) | Singleton (mathematics) | Blackboard bold | Bijection | Cantor's paradox | Ellipsis | Principia Mathematica | Abstract algebra | Class (set theory) | Complex number | Irrational number | Tuple | Primitive notion | Bertrand Russell | Russell's paradox | Vertical bar | Internal set | First-order logic | Union (set theory)