## Individual Research Project Section 2.5

### 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

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

Write a report discussing the creation of colors using additive colorÂ mixing and subtractive color mixing.

What is the millionth positive integer that is not a square, cube, or fifth power?… See the whole entry

What is the millionth positive integer that is not a square or a cube?… See the whole entry

The KenKen puzzle is an arithmetical puzzle that ties together sets, magic squares, and suduko-type puzzles.

Each of these puzzles uses the set consisting of the first n counting numbers. The rules are simple:

- Fill in the grid

**Infinity (from scratch) – slightly humorous, but mathematically correct. (time: 9:42)**

**The smallest Infinity (time: 9:33)**

… See the whole entry

**Venn diagrams (time: 2:00)**

*This site introduces the idea of infinite sets:*

https://www.geeksforgeeks.org/infinite-set/

*This site introduces the idea that there are different sizes of infinity:*

https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/

*Venn diagrams with two, three, four, five or six sets:*

https://www.interactivenn.net/

*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

*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