Media Summary: Finding the cardinal number of a set, also known as What is infinity? Can there be different sizes of infinity? Surprisingly, the answer is yes. In fact, there are many different ways to ... ... need to calculate the cardality of a set which is the next topic that we're going to explore so the
Mod01lec02 Cardinality - Detailed Analysis & Overview
Finding the cardinal number of a set, also known as What is infinity? Can there be different sizes of infinity? Surprisingly, the answer is yes. In fact, there are many different ways to ... ... need to calculate the cardality of a set which is the next topic that we're going to explore so the We describe the Banach-Tarski Theorem as a way of providing our first hint of non-measurable sets; and a further reminder of the ... We prove Cantor's Theorem which asserts that the Discrete Mathematics Section 1.1.6 of the FSU lecture notes for MAD 2104 (This is a student submission. Any views expressed ...
We recall the definitions for functions to injective, surjective, and bijective, and then use this to define when two sets have the ... In this video we talk about countable and uncountable sets. We show that all even numbers and all fractions of squares are ... We describe what are sets and collections of sets. Some basic set operations such as set inclusion, equality, union and ...