[ yn / yndd / fg / yume ] [ o / lit / media / og / ig / 2 ] [ ot / cc / x / sugg ] [ hikki / rec ] [ news / rules / faq / recent / annex / manage ] [ discord / matrix / scans / mud / minecraft / usagi ] [ sushigirl / lewd.sx / lainzine ]

Best board

Email | |
---|---|

Subject | |

Comment | |

File | |

Password |

The new CP spam filter now also works on posts that hide the link in the image instead of the post body.

File: 1730169797352.jpeg (85.48 KB, 1080x608, IMG_0386.jpeg)

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 fractions, does that 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…(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…(…)…

How do you define the natural numbers without infinity?

How do you define the natural numbers without infinity?

File: 1730207766180.png (221.02 KB, 500x500, 1725497663023.png)

>>27213

The accepted answer to those questions is yes, it's a whole subfield of study in contemporary math.

https://en.wikipedia.org/wiki/The_Higher_Infinite

There are more meaningful types of "infinities" than is possible to immediately conceptualize, probably more than a human can conceptualize at all

As for natural numbers, it's just induction right? For each there's always one bigger by one, no need to invoke infinity. For a finitist, this will just mean that any number you think of, you can think of one +1 bigger than that. No need to concern yourself with infinity here I think, if you don't want to.

The accepted answer to those questions is yes, it's a whole subfield of study in contemporary math.

https://en.wikipedia.org/wiki/The_Higher_Infinite

There are more meaningful types of "infinities" than is possible to immediately conceptualize, probably more than a human can conceptualize at all

As for natural numbers, it's just induction right? For each there's always one bigger by one, no need to invoke infinity. For a finitist, this will just mean that any number you think of, you can think of one +1 bigger than that. No need to concern yourself with infinity here I think, if you don't want to.

[ yn / yndd / fg / yume ] [ o / lit / media / og / ig / 2 ] [ ot / cc / x / sugg ] [ hikki / rec ] [ news / rules / faq / recent / annex / manage ] [ discord / matrix / scans / mud / minecraft / usagi ] [ sushigirl / lewd.sx / lainzine ]

- Tinyboard + vichan -

Tinyboard Copyright © 2010-2014 Tinyboard Development Group

vichan Copyright © 2012-2024 vichan-devel

All trademarks, copyrights, comments, and images on this page are owned by and are the responsibility of their respective parties.