Who Can Name the Bigger Number?

Who Can Name the Bigger Number?

2/23/2014

link

https://www.scottaaronson.com/writings/bignumbers.html

summary

In this essay, Scott Aaronson discusses the concept of big numbers and the mind-boggling ideas associated with them. He explores the limits of human comprehension when it comes to large numbers and introduces various techniques to help grasp their magnitude. Aaronson delves into the difference between big numbers and truly incomprehensible numbers, such as Graham's number. He explains why understanding big numbers is not just a mathematical exercise but also a way to challenge our intuition and expand our thinking. The essay serves as an intriguing exploration of the fascinating and mind-bending world of big numbers.

tags

big numbers ꞏ mathematics ꞏ number theory ꞏ computational complexity ꞏ algorithms ꞏ mathematical proofs ꞏ mathematical logic ꞏ philosophy of mathematics ꞏ computational science ꞏ computer science ꞏ theoretical computer science ꞏ complexity theory ꞏ gödel's theorem ꞏ turing machines ꞏ information theory ꞏ cryptography ꞏ prime numbers ꞏ exponential growth ꞏ infinity ꞏ mathematical modeling ꞏ computational limits ꞏ scientific exploration ꞏ mathematical puzzles ꞏ mathematical reasoning ꞏ problem-solving ꞏ mathematical philosophy ꞏ abstract algebra ꞏ number systems ꞏ set theory ꞏ mathematics education ꞏ mathematical thinking ꞏ numerical analysis ꞏ mathematical algorithms ꞏ number patterns ꞏ mathematical patterns ꞏ mathematical discoveries ꞏ mathematical concepts ꞏ philosophical implications ꞏ mathematical beauty ꞏ mathematical truth ꞏ mathematical ideas ꞏ mathematical inquiry ꞏ computational power ꞏ philosophical inquiry