Define (phi) as the infinite number of counting numbers, and allow (phi) to behave as a normal number.
A hierarchy of infinites is then as follows:

(phi)² = number of (positive) reals
0.6 x (phi)² = number of (positive) rationals
2x (phi) = number of integers
(phi) = number of counting numbers
(phi)/2 = number of even counting numbers
ln( phi ) = sum of the infinite harmonic series

These are all "infinite" values, but some are much large than others.

Define (phi) as the infinite number of counting numbers, and allow (phi) to behave as a normal number.

A hierarchy of infinites is then as follows:

(phi)² = number of (positive) reals

0.6 x (phi)² = number of (positive) rationals

2x (phi) = number of integers

(phi) = number of counting numbers

(phi)/2 = number of even counting numbers

ln( phi ) = sum of the infinite harmonic series

These are all "infinite" values, but some are much large than others.

http://lesliegreen.byethost3.com/articles/infinities.pdf