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Anonymous No. 16492558

If there are an infinite number of natural numbers, and an infinite number of fractions in between any two natural numbers, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and... then that must mean that there are not only infinite infinities, but an infinite number of those infinities. and an infinite number of those infinities. and an infinite number of those infinities. and an infinite number of those infinities, and... (infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and...) continues forever. and that continues forever. and that continues forever. and that continues forever. and that continues forever. and.....)...

Anonymous No. 16492565

>>16492558
Why are you repeating exactly the same thread with exactly the same picrel?

Anonymous No. 16492579

How do you define the natural numbers without infinity?

Anonymous No. 16492582

Fun fact: You can easily tell that the set of rational numbers is a higher order infinity than the set of integers by observing that for the rational numbers, if you pick any two members of the set, there are an infinite number of members of the set between them, while for integers, there are a finite number.

Anonymous No. 16492612

>>16492558
Here's the crux of the matter that very few people can state succinctly. Probably because most people are cowardly retards.
We simply don't know if the Universe is discrete or continuous.
If discrete then any talk of infinity is nonsense. May as well be talking about flying pink unicorns. Sheer fantasy. Like children's bedtime stories it provides nothing but entertainment. In which case any mathematical system that incorporates infinity into any equation is immature gibberish.
If continuous then we have to accept that mathematics contains the conceptual equivalent of black holes, areas of uncertainty where all the rules breakdown and we are left with a quasi-mystical system which ironically can never provide precise answers to a framework based on pure logic.

I favor the discrete hypothesis. Why yes, I am a ultrafinitist. Go fuck yourself. I hate you stupid continuous cunts. Arrogant dull minded arsefuckers, the lot of you.
If the universe is discrete then we must assume that at some fundamental level there is an indivisible unit, and that is what the entirely of a proper mathematical system must be based upon. It makes me poo my pants with excitement just thinking about it.... OH DEAR GOD! I JUST POOED MY PANTS! AGAIN! Third time today.

Anonymous No. 16492622

Always adding 1 and getting a new number is the central property of infinity.

Anonymous No. 16492670

>>16492582
um. no you can't?

Anonymous No. 16493000

>>16492612
Rationals are countable...

https://mathcenter.oxford.emory.edu/site/math125/rationalEnumeration/#:~:text=The%20set%20of%20natural%20numbers,the%20sets%20can%20be%20found)

Anonymous No. 16493831

>>16492612
holy projection batman!, you might as well be a holomorphic fuction between the set of bitches to the ste of cunts

Anonymous No. 16493853

>>16492670
Explain what you mean.

Anonymous No. 16493866

>>16492565
This is first time i made this thread. Meds now