Is Infinity possible without duplication?

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SUMMARY

The discussion centers on the philosophical implications of infinity, particularly whether an infinite existence necessitates duplication. Participants explore the concept of a multiverse system, questioning if infinite objects would inherently lead to multiple instances of each possible object. The conversation highlights the existence of infinite natural numbers as a counterexample to duplication, suggesting that infinity can exist without redundancy. Ultimately, the dialogue emphasizes the complexity of understanding infinity in both mathematical and philosophical contexts.

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  • Understanding of basic mathematical concepts, particularly infinity.
  • Familiarity with multiverse theories in physics.
  • Knowledge of philosophical implications of existence and duplication.
  • Conceptual grasp of natural numbers and their properties.
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  • Research the implications of infinity in set theory.
  • Explore multiverse theories in modern physics.
  • Study philosophical texts on existence and duplication.
  • Investigate the properties of natural numbers and their infinite nature.
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Philosophers, mathematicians, physicists, and anyone interested in the concepts of infinity and existence in theoretical frameworks.

mkarger
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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.
 
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mkarger said:
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.
 
PatrickPowers said:
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.
 

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