Naive set theory

BM5. Naive Set Theory

Basic Methods: We introduce basic notions from naive set theory, including sets, elements, and subsets. We give examples of showing two sets are equal by mutual inclusion. Then we define the power set and note Russell's paradox.

From playlist Math Major Basics

Introduction to Sets

We give some basic definitions and notions associated with sets. In particular, we describe sets via the "roster method", via a verbal description, and with set-builder notation. We also give an example of proving the equality of two sets. Please Subscribe: https://www.youtube.com/michael

From playlist Proof Writing

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

The Most Famous Book on Set Theory

In this video I will show you what is considered to be perhaps the most influential book ever written on Set Theory. The book is called Set Theory and it was written by Felix Hausdorff. Another wonderful book is Naive Set Theory by Paul Halmos. We will look at both books and I will explain

From playlist Book Reviews

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

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

Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition

The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this

From playlist Set Theory

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

The Problem of Perception (John Searle)

John Searle discusses here the nature of perception and some of the main positions in the history of philosophy, as well as some of the problems that arise for each type of view. This is a version of something that I put together awhile ago and that was originally uploaded to the previous

From playlist Philosophy of Mind

Modern "Set Theory" - is it a religious belief system? | Set Theory Math Foundations 250

Modern pure mathematics suffers from a uniform disinterest in examining the foundations of the subject carefully and objectively. The current belief system that "mathematics is based on set theory" is quite misguided, and in its current form represents an abdication of our responsibility t

From playlist Math Foundations

What is a set: Basics of sets and quantifiers in math | Intro to Math Structures VS1.2

I'm sort of going to tell you what a set is while avoiding the ZFC axioms. This video has some exercises dispersed through it and goes through the basics of sets in math. In particular we'll go through basic notation, the union, intersection, set difference, complement, and symmetric diff

From playlist The CHALKboard 2022

Buried Math Book Treasure at the Beach

In this video we go looking around the beach for a long lost forgotten math book. What better place to do a book review than the actual beach:) We end up finding a book, which is very famous and well written. The book is called Naive Set Theory and it is written by Paul R. Halmos. This

From playlist Cool Math Stuff

Naive homology versus Suslin homology - Fabien Morel

Fabien Morel March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu

From playlist Mathematics

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

Matthew WALTERS - Studying RG Flows with Lightcone Conformal Truncation

https://indico.math.cnrs.fr/event/2435/

From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”

Set Theory (Part 2a): Russell's Paradox

Please feel free to leave comments/questions on the video below! In this video, I briefly speak about the Russell paradox and why ZFC avoids this paradox when discussing pathological sets. One should hopefully see why it is that this paradox is disastrous for the naive set theory adopted

From playlist Set Theory by Mathoma

String spreading and S-matrix data: Eva M Silverstein

URL: https://strings2015.icts.res.in/talkTitles.php

From playlist Strings 2015 conference

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

"Drei Minuten Spaß mit Logik & Co.", Folge 4: Naive Mengenlehre, mit Thoralf Räsch

In welchem Sinne ist die "Naive Mengenlehre" naiv? Kann da was Schlimmes schiefgehen? Zur Reihe "Drei Minuten Spaß mit Logik & Co.": Mathematik als Wissenschaft zu betreiben, ist vielleicht nicht einfach und braucht auf jeden Fall - wie die Entwicklung der meisten Kompetenzen - sehr vie

From playlist Drei Minuten Spaß mit Logik & Co.