Will there be no more sentient beings in saṃsāra one day?

[Archie2009]

You can assign each sentient being a unique natural number (1,2,3...). The set of all such numbers is of a size known as "countable infinity". What this means is that each member of such a set can have a 1 to 1 correspondence with members of another countably infinite set.

Similarly, you can number each being that becomes a Buddha and you have another countably infinite set. And because of the equal size of these sets, you can have a 1 to 1 correspondence between them. Meaning every person in the first set can become a Buddha!

Meaning, it is possible that infinite beings can become Buddhas.

This of course may take an infinite amount of time

Disclaimer: I'm still in school for mathematics and know very little. This was meant purely for entertainment purposes. It's all absurd when it comes down to it.

This is (... Edit) not a proof that every sentient being will attain Buddhahood. Your argument breaks down at the start. Because e.g. from every countably infinite set two countably infinite subsets can be formed.

* Used as a verb. This is a thing from the academic literature.