Of course. It’s your life, live it how you see fit. I’ve definitely been in similar shoes.
On a friendlier note, may I just say, you have quite a way with words, and your choice of phrase sparks joy in me. I hope you do find a better life after your debts are paid, as much as I hope you have a good rest of the year, with many more to come.
Sometimes it’s okay to be a bit rude. It’s rare, but every now and again, necessary in order to not become a doormat. It is totally normal and human to try to change your environment (including the behaviour of others) to suit yourself and your happiness.
I’m great, thanks for asking. I had just woken up and I haven’t been sleeping much lately. It’s very possible that what I percieved as a perfectly normal way to state that I was taken aback that you could say that about this math problem, came across to you instead as an assault. Please know that wasn’t my intention, and I regret the way I phrased that. Thank you for your concern.
Just fucking read the content before you comment next time, okay pal? 😂
no
it’s
fucking
not
This is just basic algebra, this is actually how the problems in algebra I are written. What the fuck?
Yeah, if you use an arbitrary standardized measuring stick, the problem goes away, as it is no longer infinite.
Still a fun thought experiment to demonstrate how unintuitive infinities are!
Anyway, major kudos to you for engaging with this thread in good faith! That is so rare these days, I barely venture to comment anymore. Respect.
… and thank you for the opportunity to share a weird math fact!
And it may very well be true, but we can’t prove it mathematically.
Exactly! It is unintuitive, but there are as many infinite elements of the set of all real numbers between 0 and 1, as there are in the set between 0 and 100.
I hope this demonstrates what the people here arguing for the paradox are saying, to the people who are arguing that one is obviously longer.
Just because something is obvious, doesn’t make it true :)
Its true that not all infinities are equal, but the way we determine which infinities are larger is as follows
Say you have two infinite sets: A and B A is the set of integers B is the set of positive integers
Now, based on your argument, Asia has the largest infinite coastline in the same way A contains more numbers than B, right?
Well that’s not how infinity works. |B| = |A| surprisingly.
The test you can use to see if one infinity is bigger than another is thus:
Can you take each element of A, and assign a unique member of B to it? If so, they’re the same order of infinity.
As an example where you can’t do this, and therefore the infinite sets are truely of different sizes, is the real numbers vs the integers. Go ahead, try to label every real number with an integer, I’ll wait.
Upvote for sway, but the word graduate there feels out of place, though to be honest I havent given NIX an earnest shot.