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

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

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 (490-430)

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

John Wallis 17th century English mathematician further extended the work of Torricelli (1608-1647) and Cavalieri (1598- 1647) 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….

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

The Infinity Sign Today

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

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

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

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

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