In this post we explore how infinity shapes the number system. Without infinity the number system would be incomplete. I would like to explain this with examples. Consider a set of two integers {1,2}. I want to multiply them element by element, we get A= [1, 2] B= [1, 2] N= A × B= [1,... Continue Reading →
Why Is Infinity Not A Number (NAN)?
Infinity is so big that it does not have the first and/or the last digits. If does it would limit it making it a number. Generally, it has no digit at n^th place. Meaning one cannot pinpoint any digit at any place. This is the property of numbers to have digits.
The End of Integers
Euclid in 300 BC proved one of the beautiful theorems of mathematics that the number of prime numbers is infinite. The proof is based on a simple argument. Suppose $latex p_1$, $latex p_2$, $latex \ldots$, $latex p_r$ be all the primes. Let $latex P$ be the product of all the primes, then $latex P+1$ is... Continue Reading →
Mr. Monologue 