what is the difference between infinite and absolute infinite

[Frxwins]

what is the difference between infinite and absolute infinite, if it is symbolized then infinite is Aleph Null or ℵ0 and Absolute infinite with the symbol Ω , if there is no difference why is there the word absolute?

 

[Vietthai96]

You should google this but to simplify, infinite like Aleph 0 or Aleph 1 is simply just a set of infinity, we also have multiple other sets of infinity

Absolute Infinity is, well, mean absolute, perfect, it is an infinity that emcompass all possible set of infinity in it

Well that what i known, i could be wrong, there are member who very good at this like @Oblivion_Of_The_Endless , you can ask him if you want

 

[Greatsage13th]

Hmm

 

[Vietthai96]

In his philosophy, Cantor linked this kind of infinity to expression of God, hence one of the reason for the name Absolute

 

[MrHazama]

Where would you scale "absolute infinity"? Like what Tier?

 

[Vietthai96]

Where would you scale "absolute infinity"? Like what Tier?

At worst 1-A

 

[Robo432343]

absolute infinity is like tier 0 lol

 

[LeylinFarlier01]

infinity means endless expansion, although we can define infinity with aleph and other cardinals, there is always another infinity above it

This is what is meant by the endless expansion of infinity

absolute infinity appears as the limit of the expansion of infinity, assuming all cardinality as an extension of it

 

[LeylinFarlier01]

At worst 1-A

bruhhh

 

[Vietthai96]

absolute infinity is like tier 0 lol

depend on the verse, Unsong use actual Cantor's Absolute Infinity and it is High 1-A at the lowest

 

[Reiner04]

Alephs are just transfinite numbers, different lvls of infinity then comes inaccessible cardinal which is entirely unreachable from below, either you stack countably or uncountably infinite 1a structures, boundless is as well not a absolute infinity.
Absolute infinity can never be reached by stacking structures that are available as per our wiki standards, so beyond tiering system bravo.

 

[Robo432343]

Absolute infinity can never be reached by stacking structures that are available as per our wiki standards, so beyond tiering system bravo.

auren-

 

[Reiner04]

auren-

Lmao

 

[Aachintya31]

Same

 

[Makoto500]

Absolute infinite is usually defined as a mathematical universe which size depends on the sets implied to exist in your proposed system. (By set theory the least has the 1st worldly in size unless if you assume no axiom of infinity)

Just read the universe of sets to understand more.
Note that the set or class of all sets doesn't make it inherently the biggest atleast not on other axiomatic system since there are sets external to it and things it can't imply.

By cantors definition however the absolute infinity is linked by god and is above all human perceptions and is ineffable to anything.

For transfinite it is a set that is by definition atleast as big as the set of all natural numbers.

 

[Fixxed]

Honestly, your question is wrong in here, because you compare philosophy and math

Absolute infinite is philosophy and aleph 0 is math. But if we go with cantor's theory then absolute infinite is peak of all infinite, peak of all number and math, it is the God Himself

In this wiki we dont use absolute infinite in it literall meaning

 

[Lilixa]

from what i know absolute infinite is not really a thing in formal math. It's an idea proposed by cantor himself.