A quick question regarding the application of Aleph numbers to reality

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SUMMARY

Aleph numbers represent a classification of different sizes of infinity, as established by Georg Cantor. They do not limit the concept of infinity but rather categorize it into countable and uncountable infinities. The discussion clarifies that Aleph numbers are theoretical constructs and are not applicable in practical scenarios such as measuring space, time, or dimensions in the universe or multiverse. Their existence is rooted in mathematical theory rather than empirical science.

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  • Familiarity with Cantor's work on countable vs. uncountable infinities
  • Basic knowledge of mathematical infinity concepts
  • Awareness of theoretical mathematics versus empirical science
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Happyman101
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Hi everyone,

I have a quick question about Aleph numbers. Are they even possible? By containing infinity to a finite set, isn’t that essentially disproving the infinity in the first place? Can they be used in an actual scenario’s, or are they just purely hypothetical? Can they be used to measure space, time, and dimensionality? Universes and/or multiverses? Are they scientifically possible?

Thanks for the help.
 
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Aleph numbers are a way of counting types of infinities and have nothing to do with limiting the infiniteness of any infinity.

When infinity first came into existence in math, it was simply infinity.

However, after Cantor described countable infinities vs uncountable infinities the notion of types of infinities was born and so was the idea of wondering about other types of infinities.

https://en.wikipedia.org/wiki/Aleph_number
 
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