there is the set of numbers they are infinite… 1,2,3,4,5…

there is the set of even numbers they are infinite 2,4,6,8…

one is said to be bigger than the other but i will show you why this is not the case.

normally when talking about quantities this is done by taking a determined set. e.g numbers 1-100. this would give the results

100 for the first

50 for the second

one can be said to be twice as “big” in terms of the number of sets present in the infinity.

this is misleading because as soon as a division is set it ceases to be infinite, infinity does not have a determined set so whether one has more of something in a set is irrelevant since the set is never determined one can only speak about denser infinities, not about larger ones.

if this is what you call opportunity to find one its alright but this can only be achieved by determining the set that if it is done destroys the infinity.

i would also argue the following if we look at infinites based on there ultimate value and not on the sets it contains, we will see that no infinity can be larger or smaller than he other.

for example: set of integers 1,2,3,4…

```
set of even 2,4
```

that one is “larger” denser than the other, however 4=4 when it comes to value they are still equal to the other.

if you the say what if integers set ends in 5? well it doesnt because its infinite, to make it determinate would destroy the notion of infinity.

one could say one is reached twice as fast… this is a perception being mislead. since they both will reach 6 at the same time. only that one has to go through more sets than the other.