Sets Archives - The Nature of Mathematics - 13th Edition

Individual Research Project Section 2.5

September 28, 2015June 30, 2015 by elaine

Project 2.5

Let S be the set of all real numbers between 0 and 1. Prove that the set S is not a countable set.… See the whole entry

Reference Topics 2-3

December 12, 2016June 30, 2015 by elaine

Venn diagrams with two, three, and four sets:
If you click on the question mark, you can practice with three overlapping sets.
http://www.math.csusb.edu/notes/sets/node5.html

This site shows a statement of De Morgan’s law.
https://www.quora.com/What-is-the-significance-of-De-Morgans-Laws… See the whole entry

Reference Topics 2-2

February 11, 2018June 30, 2015 by elaine

This is a web-based instructional module on the algebra of sets.

http://www.math-only-math.com/laws-of-algebra-of-sets.html

Union of Sets:
https://www.basic-mathematics.com/union-of-sets.html

Intersection of Sets:
https://www.basic-mathematics.com/intersection-of-sets.html

Venn Diagrams for union and intersection:
https://www.mathsisfun.com/sets/venn-diagrams.html… See the whole entry

Reference Topics 2-1

June 30, 2015 by elaine

Basic concepts and notation for sets:
http://www.math.utah.edu/~alfeld/math/sets.html

This (slightly advanced) site reviews sets and set notation:
http://www.math.csusb.edu/notes/sets/node1.html#SECTION00010000000000000000 … See the whole entry

Section 2.1: Sets, Subsets, and Venn Diagrams

September 24, 2015June 30, 2015 by elaine

2.1 Outline

Denoting sets
1. undefined term; set
2. circular definition
3. specifying sets
  1. description method
  2. roster method
4. well-defined set
5. terms
  1. members
  2. elements
  3. belong to
  4. contained in
6. Sets of numbers
  1. natural numbers
  2. counting numbers
  3. integers
  4. rational numbers
7. set-builder notation
Equal and equivalent sets

… See the whole entry