Yes, we constantly refer to infinity in various ways without referencing math. Eternal, forever, and immortal are just some of the ways we express infinity.Is there a way to describe various infinites without going right to number lines? Anything in real life to reference in terms of the infinite? — TiredThinker
Infinite means in-finito, not finished, never to be finished. What in life never finishes? The finish line can be pulled away from you indefinitely. Indefinitely=infinitely? On can tell a never ending story, play infinite games. The universe goes on forever, as life in it. It never ends. Infinite! — AgentTangarine
Any examples of Infinity other than the suggestion that the universe may go on forever since we can't prove otherwise? — TiredThinker
The continuum line can be said to have cardinal number aleph_1, — AgentTangarine
The two-dimensional continuum has cardinal number aleph_2, and the 3D continuum corresponds to alelph_7. — AgentTangarine
The subscripts are ordinal numbers and they correspond to the number of times an infinity of the infinite is needed needed to specify the elements — AgentTangarine
I don't know what you mean by "number of times an infinity of the infinite is needed to specify the elements — TonesInDeepFreeze
while(true){
print("I am an infinite loop")} — emancipate
Are you seriously implying that the cardinality of the 2-d continuous plane is the same as that of the continuous line? — AgentTangarine
There could be cardinalities between 1 and 2. — AgentTangarine
while(true){ console.log("Hello, World!"); }
I have not mentioned continuousness. I have merely pointed out the utterly well known fact that it is a theorem that card(R) = card(RxR),. — TonesInDeepFreeze
It's boring — AgentTangarine
I just mean inf x inf. — AgentTangarine
The claim that aleph_1 = 2^N is the continuum hypothesis. — TonesInDeepFreeze
Then you have a different notion of aleph one — AgentTangarine
The ordinal in Aleph one is just related to how many times the infinity is present. — AgentTangarine
inf^1 — AgentTangarine
line inf^2, so aleph1 — AgentTangarine
Anyway, you said you were off, Eliza. Too bad you didn't mean it. — TonesInDeepFreeze
That would imply that the covered piece has the same cardinality as the whole square. — AgentTangarine
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