1. What is infinity?  Explain in your own words.
  2. Describe either a conversation you had about infinity or an argument you had about infinity. Give us the details!

Infinity I think of it simply as a very large number which we cannot count. If you think of the largest number you can imagine, if you add one, it will always result in a larger number. And that ‘number’ I think as infinity. And also whenever I think of infinity the constant PI comes to mind as the amount of decimals it has goes on forever.

A math professor I once had told us that there are different sizes of infinities. Which I think doesn’t make any sense but explained it that went something like this. If we think about the amount of possible numbers including that can exist between the whole numbers 5 to 6, we an infinite amount of numbers if we write decimal numbers increasing by the number of decimal points (eg.5.1,5.11,5.111 etc). We can say that there exists an infinite amount of numbers between both numbers. But now if we consider the whole numbers 5 to 7, between 5 to 6 there are an infinite amount if numbers and also between 6 to 7. However, the infinite amount of numbers between 5 to 7, consists of the sum of both infinities (5 to 6 and 6 to 7) and therefore larger than the infinity between 5 to 6.This concept makes sense and at the same time seems pretty silly so I try my best not to think much about it.