Choice set

Set Game

SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/

From playlist Games and puzzles

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

(ML 11.4) Choosing a decision rule - Bayesian and frequentist

Choosing a decision rule, from Bayesian and frequentist perspectives. To make the problem well-defined from the frequentist perspective, some additional guiding principle is introduced such as unbiasedness, minimax, or invariance.

From playlist Machine Learning

Introduction to Sets and Set Notation

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

From playlist Sets (Discrete Math)

The Axiom of Choice | Epic Math Time

The axiom of choice states that the cartesian product of nonempty sets is nonempty. This doesn't sound controversial, and it might not even sound interesting, but adopting the axiom of choice has far reaching consequences in mathematics, and applying it in proofs has a very distinctive qua

From playlist Latest Uploads

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)

Set Theory (Part 5): Functions and the Axiom of Choice

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce functions as a special sort of relation, go over some function-related terminology, and also prove two theorems involving left- and right-inverses, with the latter theorem nic

From playlist Set Theory by Mathoma

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

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

Choice Functions and Length: Why you can't measure everything you choose

I haven't talked about the axiom of choice in a while, and the relationship between choice functions and length (or size) and why you can't measure everything you choose seemed like a good way to do so. The interplay between choice functions and how one can construct sets for which measure

From playlist The New CHALKboard

Zermelo Fraenkel Choice

This is part of a series of lectures on the Zermelo-Fraenkel axioms for set theory. We dicuss the axiom of chice, and sketch why it is independent of the other axioms of set theory. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52EKVgPi-p50f

From playlist Zermelo Fraenkel axioms

Introduction to counting -- Proof Writing 6

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Proof Writing

Predicting and Understanding Human Choices using PCMC-Net with an application to Airline Itineraries

Speaker(s): Alix Lheritier Facilitator(s): Omar Nada Find the recording, slides, and more info at https://ai.science/e/predicting-and-understanding-human-choices-using-pcmc-net-with-an-application-to-airline-itineraries--T7VHeDI6OAv0cXM7HWYT Motivation / Abstract The work focuses on pred

From playlist Recommender Systems

RA1.2. Foundations

Real Analysis: Noting that we assume only naive set theory and basic properties of the natural numbers for this playlist, we give a brief account of some issues in the quest for mathematical rigor. These include the Axiom of Choice, the Law of the Excluded Middle, and Godel's Incompleten

From playlist Real Analysis

Axiom of Choice and Regularity each imply LEM

I recommend you go through all parts, but thee AC-LEM proof starts at 55:30. If you skip stuff, still watch the section at 8:22, because I talk in terms of those semantics later. The Regularity-LEM proof at 1:50:55 requires definitions from the earlier AC-LEM proof. Timestamps: 0:00 Intro

From playlist Summer of Math Exposition 2 videos

The Axiom of Choice and Sets | #some2

The axiom of choice is a powerful tool and underlies a lot of mathematics. But what is this tool? How can we use it? And what do we need to do to get there? Find out more in this video by Proffesional Math LLC! Made for SoME2. More info at https://youtu.be/hZuYICAEN9Y #some2

From playlist Summer of Math Exposition 2 videos

Category Theory: The Beginner’s Introduction (Lesson 1 Video 5)

Lesson 1 is concerned with defining the category of Abstract Sets and Arbitrary Mappings. We also define our first Limit and Co-Limit: The Terminal Object, and the Initial Object. Other topics discussed include Duality and the Opposite (or Mirror) Category. These videos will be discussed

From playlist Category Theory: The Beginner’s Introduction

Lec 16 | MIT 6.042J Mathematics for Computer Science, Fall 2010

Lecture 16: Counting Rules I Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010

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