4 days ago · Introduction, Set Theory. Monday March 31. In our first lecture together, we'll discuss the big questions we will answer in CS103, then explore the finite and the infinite through the …

This playlist contains four lectures from Robin Knight's 3rd Year Oxford Mathematics Undergraduate course on Set Theory. Robin writes: "Infinity baffled math...

There are a few key sets that we will use throughout this class: 1. The set of natural numbers: N = f1; 2; 3; 4; : : : g. 2. The set of integers: Z = f0; 1; 1; 2; 2; 3; 3; : : : g. 3. The set of rational …

This Zermelo-Fraenkel set theory is the subject of this course. One key feature of this theory is its adoption of the axiomatic method: it consists of axioms, statements about the universe of sets, …

Here are some playlists of free video lectures in basic or non-basic set theory given by skilled lecturers and in some cases recorder live. The reviewed and selected video lectures in set …

While logic gives a language and rules for doing mathematics, set theory provides the material for building mathematical structures. Set theory is not the only possible framework. More recently …

1. Basic Concepts of Set Theory. 1.1. Sets and elements Set theory is a basis of modern mathematics, and notions of set theory are used in all formal descriptions. The notion of set is …

M. Macauley (Clemson) Lecture 1.1: Basic set theory Discrete Mathematical Structures 8 / 14 Venn diagrams A useful way to visualize a small number of sets and their intersections, …

Set theory was created by George Cantor (1845-1918) in the years 1874-1897. He was led to his ideas by certain problems in real analysis (Fourier series). In 1874 Cantor discovered that one …

MATH 5001: Introduction to Set Theory Axioms of set theory, transfinite induction and recursion, cardinal numbers, cardinal arithmetic, ordinal numbers, ordinal arithmetic, Axiom of Choice, …

Basic Set Theory A set is a Many that allows itself to be thought of as a One. - Georg Cantor This chapter introduces set theory, mathematical in-duction, and formalizes the notion of …

Set theory studies sets, the fundamental building blocks of mathematics. While logic describes the language of all mathematics, set theory provides the framework for additional structures. In …

These notes cover introductory set theory. Starred sections below are op- tional. They discuss interesting mathematics connected to concepts covered in the course.

This series of lessons cover the essential concepts of math set theory - the basic ways of describing sets, use of set notation, finite sets, infinite sets, empty sets, subsets, universal …

Introduction to Set Theory ≡. Course Information; Syllabus; Canvas; Gradescope; Syllabus. The following is a tentative syllabus for the course. This page will be updated irregularly (last …

Lecture 7: Set Theory and Logic We will focus primarily on the work of two mathematicians: Georg Cantor and Kurt G¨odel. as their mathematics changed our way we think and teach about …

This article examines the implementation of mathematical concepts in set theory.The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC …

Set thoery is about building math from the ground up using only LogicTM. The central concept of this book, that of a set, is, at least on the surface, extremely simple. A set is any collection, …