Is Infinity possible without duplication?

[mkarger]

Would an infinite existent necessitate that duplication exist?

For instance, in a model that mandates a multiverse system on an infinite scale, does that mean that there exists more than one of each possible object?

I guess I'm asking a more fundamental question than that.

 

[PatrickPowers]

Would an infinite existent necessitate that duplication exist?

For instance, in a model that mandates a multiverse system on an infinite scale, does that mean that there exists more than one of each possible object?

I guess I'm asking a more fundamental question than that.

We have an infinite number of natural numbers without duplication.

 

[mkarger]

We have an infinite number of natural numbers without duplication.

So essentially it starts from some point and moves forward?

I assume the same rules apply on a macro level.