Set theory

List of set theory topics

This page is a list of articles related to set theory. (Wikipedia).

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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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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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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 || 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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Set Theory 1.1 : Axioms of Set Theory

In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW

From playlist Set Theory

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Review of set theory -- Proofs

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

From playlist Proofs

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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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How to Identify the Elements of a Set | Set Theory

Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times

From playlist Set Theory

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Introduction to text analysis in python

Speaker: Austin van Loon (SICSS-Princeton 19; Ph.D. student in Sociology at Stanford University) Description: The increased availability of machine-readable text provides a unique opportunity for social scientists, granting us unprecedented access to many aspects of both historical and co

From playlist All Videos

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Mathematical Knowledge Management software survey (paper review)

In this video I talk about the paper "The Space of Mathematical Software Systems — A Survey of Paradigmatic Systems" found here: https://arxiv.org/abs/2002.04955 My notes on the text and all links shown on in the video can be found here: https://gist.github.com/Nikolaj-K/87371836d1dd1abfba

From playlist Reviews

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Lognormal property of stock prices assumed by Black-Scholes (FRM T4-10)

Although the Black-Scholes option pricing model makes several assumptions, the most important is the first assumption that stock prices follow a lognormal distribution (and that volatility is constant). Specifically, the model assumes that log RETURNS (aka, continuously compounded returns)

From playlist Valuation and RIsk Models (FRM Topic 4)

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A road to the infinities: Some topics in set theory by Sujata Ghosh

PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.

From playlist Summer School for Women in Mathematics and Statistics 2019

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Advice to Amateur Research Mathematicians: Poly Number theory-- future directions for greater import

Number theory is a very attractive subject, but in this video we argue that for prospective amateur researchers, the chance of making an important contribution is minimal. Better to focus on a much bigger and more wide open area: Poly Number theory! Polynumbers, developed in the Algebrai

From playlist Maxel inverses and orthogonal polynomials (non-Members)

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Partitions, Dyson, and Ramanujan - George Andrews

George Andrews The Pennsylvania State University September 27, 2013 More videos on http://video.ias.edu

From playlist Dreams of Earth and Sky

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04 - Topic Selection & Overview of Psychological Models

Initial discussion of topic selections and group formation (to be completed for next week) Introduction to psychological theories as relevant for Serious Games

From playlist 2021 - IMT4307 - Serious Games

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A (somewhat) new paradigm for mathematics and physics | Diffusion Symmetry 1 | N J Wildberger

The current understanding of symmetry in mathematics and physics is through group theory. However in the last 120 years, a new strand of thought has gradually appeared in a number of disciplines, from as varied as character theory, strongly regular graphs, von Neumann algebras, Hecke algeb

From playlist Diffusion Symmetry: A bridge between mathematics and physics

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Intro to Set Theory

This video covers the basic concepts of Set Theory: what is a set, union and intersection, subsets, the integers, rational and real numbers. Venn diagrams are used to explain De Morgan's Laws and I provide the beginnings of a proof.

From playlist Foundational Math

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Moduli Spaces of Principal 2-group Bundles and a Categorification of the Freed.. by Emily Cliff

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

Related pages

Rough set | Linear partial information | Giuseppe Peano | Complete Boolean algebra | Infinity-Borel set | Beth number | Fuzzy set | Analytical hierarchy | Paul Bernays | Tree (set theory) | AD+ | Tarski–Grothendieck set theory | Descriptive set theory | Alfred Tarski | Axiom of power set | List of set identities and relations | Constructible universe | Continuum hypothesis | Aleph number | List of properties of sets of reals | Analytic set | Supercompact cardinal | Projection (mathematics) | Morse–Kelley set theory | Cardinality | Set-theoretic topology | Power set | Von Neumann–Bernays–Gödel set theory | Richard Dedekind | Θ (set theory) | Infinite descending chain | Positive set theory | Hartogs number | Continuum (set theory) | Measurable cardinal | Universally measurable set | Complement (set theory) | Wilhelm Ackermann | Covering lemma | New Foundations | Lightface analytic game | Forcing (mathematics) | Inner model | List of large cardinal properties | Zermelo–Fraenkel set theory | Determinacy | Multiset | Perfect set property | Tree (descriptive set theory) | Algebra of sets | Cartesian product | Alternative set theory | Hereditary set | Semiset | Weakly compact cardinal | Zermelo set theory | Property of Baire | Simple theorems in the algebra of sets | Von Neumann universe | Polish space | Cantor's diagonal argument | Glossary of set theory | Kripke–Platek set theory with urelements | Set theory | Gottlob Frege | Intersection (set theory) | Mahlo cardinal | George Boolos | Limit ordinal | Core model | Burali-Forti paradox | Well-order | Quasi-set theory | Set (mathematics) | Cantor's theorem | András Hajnal | Inaccessible cardinal | Successor ordinal | Wacław Sierpiński | Cantor's paradox | General set theory | Thoralf Skolem | Axiom of real determinacy | Axiom of projective determinacy | Countable set | Pocket set theory | Cabal (set theory) | Scott–Potter set theory | Zero sharp | Mouse (set theory) | Zorn's lemma | Prewellordering | Transfinite induction | Empty set | Relation (mathematics) | Naive set theory | Ordinal number | Inner model theory | John von Neumann | Suslin's problem | Boolean-valued model | Cardinal number | Set-builder notation | Union (set theory) | Gaisi Takeuti | Internal set theory | Uniformization (set theory) | Axiom of determinacy | Subset | L(R) | Borel equivalence relation | Class (set theory) | Nicolas Bourbaki | Set theory (music) | Bertrand Russell | Russell's paradox | Paul Finsler