There are clearly an infinite number of positive integers
MATHEMATICS · Multi-part · CBSE · Mathematics · A Story of Numbers · A Story of Numbers
Problem
There are clearly an infinite number of positive integers, and an infinite number of positive even integers.
(a) Construct an argument that:
- i there are *more* positive integers than positive even integers
- ii there is the *same number* of positive integers as positive even integers.
(b) Can the traditional notions of “more than”, “less than”, and “equal to” be extended to infinity?