1. The History of Infinity
By Beebe Sanders, Danny Stern, and Jake Valente

2. A number greater than any assignable quantity or countable number!
What is infinity?
A number greater than any assignable quantity or countable number!
(symbol ∞)

3. Infinity in Ancient Greece
Pythagoreans and apeiron
Unbounded, infinite, indefinite, undefined
Questions brought on by physical observations
Time seems without end.
Space and time can be unendingly subdivided.
Space is without bound.
Zeno’s Paradox ( )

4. Infinity in Medieval Europe
Augustine, Infinity and Divinity
Infinity is an inborn concept which enables any knowledge
Infinity can be found in the purest form and mathematics
God is neither finite nor infinite, and his greatness surpasses even the infinite

5. John Wallis 17th century English mathematician
further extended the work of Torricelli
( ) and Cavalieri ( )
in his work Arthmetica Infinitorum
With exploration and studying of
indivisibles and by way of induction
Wallis established the following equation
4/π = 3*3*5*5*7*7*9*9…/2*2*4*4*6*6*8*8….

6. The Infinity Sign Sign was applied by Wallis in 1657
Symbol signifies an unending curve
Mathematicians caught onto the symbol and it has remained untouched for centuries
Today is formally named a
lemniscate

7. The Infinity Sign Today

8. Galileo Galilei 1564-1642 Galileo’s Paradox
1-to-1 correspondence in infinite sets

9. Georg Cantor Studied infinity in the late 19th and early 20th century
Invented Set Theory
Cantor’s Theorem
Continuum Hypothesis

10. Kurt Gödel 1906-1978 Austrian Mathematician
Whether or not the continuum hypothesis is true, it has no impact on the field of mathematics

11. Euclid
300 BC
Euclid’s Proof: There are infinitely many primes

12. JUST KIDDING, INFINITY NEVER ENDS!!!!
The End!
JUST KIDDING, INFINITY NEVER ENDS!!!!