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What scale of infinity does MM use?
20 years 8 months ago #9498
by Jan
Reply from Jan Vink was created by Jan
EBTX,
My own intuitive guess would be that the universe is the collection of infinitely countable entities, so one-to-one for each and every object in the cosmos.
I'm not saying this in view of the MM in any way, since only Tom can answer this.
My own intuitive guess would be that the universe is the collection of infinitely countable entities, so one-to-one for each and every object in the cosmos.
I'm not saying this in view of the MM in any way, since only Tom can answer this.
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20 years 8 months ago #9499
by tvanflandern
Replied by tvanflandern on topic Reply from Tom Van Flandern
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by EBTX</i>
<br />Can the set of all particles used in the construction of the universe (considered by MM) be placed in a one to one correspondence with the integers?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Yes, for all particles of a given size, the count will be aleph-0 (the lowest-order infinity).
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">Or, is there a set of entities (in MM) which cannot be placed in such a one to one correspondence?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Because every single particle of a given size is divisible into an infinite number of sub-particles, the count of all particles and sub-particles seems analogous to the real numbers, of which there are an infinite number between any two integers. -|Tom|-
<br />Can the set of all particles used in the construction of the universe (considered by MM) be placed in a one to one correspondence with the integers?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Yes, for all particles of a given size, the count will be aleph-0 (the lowest-order infinity).
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">Or, is there a set of entities (in MM) which cannot be placed in such a one to one correspondence?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Because every single particle of a given size is divisible into an infinite number of sub-particles, the count of all particles and sub-particles seems analogous to the real numbers, of which there are an infinite number between any two integers. -|Tom|-
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20 years 8 months ago #9504
by EBTX
Replied by EBTX on topic Reply from
Yes, that would seem to be consistent with your theory. Thanks.
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