IS IT POSSIBLE TO COUNT PAST INFINITY By

IS IT POSSIBLE TO COUNT PAST INFINITY? By: Henry Kim

Is infinity a fake concept? ■ Gabriel’s horn – finite volume ■ π? e? ■ Sets of numbers (natural, whole, integer)

Georg Cantor (1845 -1918) ■ Comparing the sizes of two different sets ■ Set (1, 2, 3, 4, 5) and set (a, b, c, d, e) match ■ Set (1, 2, 3, 4, 5) and set (a, b, c, d) don’t match Infinite sets? Set of all natural numbers: 1, 2, 3, 4, 5, … Set of all even natural numbers: 2, 4, 6, 8, 10, …

Infinity + 1 Cardinal Numbers: A number denoting quantity (one, two, three) Ordinal Numbers: Position in a series (first, second, third) § § ∞ + 1 is simply just following the same concept of infinity, always adding one to the next number However, in ordinal form. ∞ + 1 should theoretically be larger than ∞

1 to Omega § Aleph Null is the set of all natural numbers - - First letter of the Hebrew alphabet - Represents 1 to infinity - The smallest infinity § Omega is the next label after Aleph Null - Only in ordinal form § Axioms are statements that are self evidently true, even without any proof

Limit To Knowledge? How does our brain learn? The human brain has a special cell called neurons, these cells compose of a few parts including brain fibres also known as dendrites. As our brain learns more, these brain fibres grow and strengthen which allows them to connect to other cells Brain fibres grow by learning à more brain cells connecting à more information the brain can store

PRACTICE MAKES PERFECT • Can practicing allow us to know things faster, therefore allowing us to learn more? Myelin is a sheath-like material that surrounds the axon (part of the neuron that transmits information) Myelin increases speed and strength of the nerve impulse Study shows that the amount of practice you do correlates with density of white matter

Memory What happens to the information we forget? ■ Jeffrey Johnson of the University of California - “Even though your brain still holds this information, you might not always have access to it” § We remember things because something can trigger the memory, process known as reinstatement § Stronger the memory = stronger the signal

“To infinity and beyond!”? Buzz Lightyear's quote is more than just a catchphrase?

Citations Vsauce. “How To Count Past Infinity. ” You. Tube, 9 Apr. 2016, www. youtube. com/watch? v=Sr. U 9 YDo. XE 88 Accessed 13 November 2017. Dominus, Mark. “The Universe of Discourse. ” Gabriel's Horn Is Not so Puzzling, 10 Nov. 2008, blog. plover. com/math/gabriels-horn. html Accessed 15 November 2017. 09. 30. 03, Posted. “Working With Infinity. ” PBS, Public Broadcasting Service, 5 Aug. 2003, www. pbs. org/wgbh/nova/physics/working-with-infinity. html Accessed 15 November 2017. Claude and Harley. “Quandaries and Queries. ” What Is Larger than Infinity? , mathcentral. uregina. ca/QQ/database/QQ. 09. 02/dana 1. html Accessed 15 November 2017. Tutors, Varsity. “ 5 Things You Should Know about How Your Brain Learns. ” USA Today, Gannett Satellite Information Network, 19 June 2015, college. usatoday. com/2015/06/19/5 -way-your-brain-learns/ Accessed 22 November 2017. Robertson, BSc Sally. “What Is Myelin? ” News-Medical. net, 11 Feb. 2015, www. news-medical. net/health/What-is. Myelin. aspx Accessed 22 November 2017. Keim, Brandon. “Forgotten Memories Are Still in Your Brain. ” Wired, Conde Nast, 4 June 2017, www. wired. com/2009/09/forgottenmemories/ Accessed 22 November 2017. Shen, Jason. “Why Practice Makes Perfect: How to Rewire Your Brain for Performance. ”Social, Buffer Social Blog, 15 Oct. 2014, blog. bufferapp. com/why-practice-actually-makes-perfect-how-to-rewire-your-brain-for-better-performance Accessed 22 November 2017.