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Bazza

Marvel Cinematic Universe, Phase Three and BEYOOOOONND

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For starters, infinity is not relative, it is qualitative. 

 

Secondly, the "one 'infinity' is included within a larger 'infinity'", is multiplicty and is metaphysical. It is how unity (one) became multiple (two).

 

Thirdly, contrary to #2, it is still unity and a difference of magnitude (eg 10) (and is still in a sense multiplicity). 

 

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To clarify, some infinities are greater than others.  Consider the prime numbers, integers, and real numbers.  There are an infinite number of each, yet each is larger than its predecessor.

 

This can be extended to dimensionality--there are no more points in a plane than there are on a line.  And so on.

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11 minutes ago, Old Man said:

To clarify, some infinities are greater than others.  Consider the prime numbers, integers, and real numbers.  There are an infinite number of each, yet each is larger than its predecessor.

 

This can be extended to dimensionality--there are no more points in a plane than there are on a line.  And so on.

 

The set of all prime numbers and the set of all integers are both countable infinities and are therefore both with cardinality of aleph-zero (the same "size"). You are correct that both sets are smaller than the set of all real numbers, which can be shown to be uncountable (and is represented as having cardinality aleph-one).

 

And now, I'm going to go take something for my headache.

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1 hour ago, Old Man said:

To clarify, some infinities are greater than others.  Consider the prime numbers, integers, and real numbers.  There are an infinite number of each, yet each is larger than its predecessor.

 

This can be extended to dimensionality--there are no more points in a plane than there are on a line.  And so on.

 

Those examples are quantities, not qualities. 

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