PYF Memes: the jift that keeps on jivving

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Zetsubou-san: Jan 28, 2015; Cruel Bifaunidas demanded that you [stand]🧍 I require only that you [kneel]🧎

the set of all prime numbers is still ℵ₀

Zetsubou-san has a new favorite as of 11:02 on Apr 21, 2021

# ? Apr 21, 2021 10:52

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# ? May 24, 2024 02:50

Hyperlynx: Sep 13, 2015

Zetsubou-san posted:

the set of all prime numbers is still ℵ₀

?מה

# ? Apr 21, 2021 11:21

Zetsubou-san: Jan 28, 2015; Cruel Bifaunidas demanded that you [stand]🧍 I require only that you [kneel]🧎

the set of anything countable but provably infinite has the same size as the set of all integers, hth

# ? Apr 21, 2021 11:28

Whybird: Aug 2, 2009; Phaiston have long avoided the tightly competetive defence sector, but the IRDA Act 2052 has given us the freedom we need to bring out something really special.

https://team-robostar.itch.io/robostar; Nap Ghost

FFT posted:

"set of all prime numbers" would be smaller, "set of all values of Avogadro's N^x" (or similar)

The meme seems pretty limited

All infinite sets of integers are the same size. When you get to talking about the size of infinite sets you have to redefine what you mean by "size", and to make the concept work at all you have to abandon a lot of the intuition that holds true for finite sets. One of the pieces of intuition you abandon is the idea that removing and adding members to a set always changes its size.

# ? Apr 21, 2021 11:28

Hyperlynx: Sep 13, 2015

Zetsubou-san posted:

the set of anything countable but provably infinite has the same size as the set of all integers, hth

How do get from that to a stack of Lin Kuei?

# ? Apr 21, 2021 11:32

Procrastine: Mar 30, 2011

# ? Apr 21, 2021 11:34

stringless: Dec 28, 2005; keyboard ⌨️ cowboy

Whybird posted:

All infinite sets of integers are the same size.

I'm aware that all infinite sets are infinite sets, yes.

# ? Apr 21, 2021 11:35

DontMockMySmock: Aug 9, 2008; I got this title for the dumbest fucking possible take on sea shanties. Specifically, I derailed the meme thread because sailors in the 18th century weren't woke enough for me, and you shouldn't sing sea shanties. In fact, don't have any fun ever.

FFT posted:

"set of all prime numbers" would be smaller, "set of all values of Avogadro's N^x" (or similar)

The meme seems pretty limited

Those sets are both the same size as the counting numbers. You can tell because you can make a 1-to-1 correspondence between them, for example this correspondence between the counting numbers and the primes:
1 :: 2
2 :: 3
3 :: 5
4 :: 7
5 :: 11
and so on.

Since both lists go on forever, the correspondence never breaks down, and since it is well-defined and contains all the counting numbers on one side and all the primes on the other, the counting numbers and the prime numbers must be the same size. This holds despite the fact that everything on the latter list is on the former, but not everything on the former list is on the latter - infinity is weird like that. It's like how infinity plus one (or infinity times two or infinity divided by a billion or whatever) is still just infinity.

However, you cannot make a 1-to-1 correspondence between the counting numbers and the real numbers; the famous proof is called "Cantor's diagonalization argument," which I won't lay out here but you can look it up if you want. It proves that the set of real numbers is larger than the set of counting numbers, even though they are both infinite. It is provably unknowable (in the standard formulation of mathematics) whether or not there are any sizes of sets in between those two sizes (google "continuum hypothesis" for info). Also there are infinitely many possible sizes of infinite sets, each one larger than the last, with the smallest being called the size of the counting numbers, aleph_0, and higher ones, aleph_1, aleph_2, and so on. (aleph is the first letter of the Hebrew alphabet and I have no idea why it's used here. presumably because mathematicians ran out of latin and greek letters.)

So the trolley problem meme is comparing aleph_0 people and some other amount of people that is higher than aleph_0 (but it's unknowable which aleph it is). However, it doesn't really make any sense because the definition of "person" I would say definitely implies countability, so it does not make sense to have uncountably infinitely many people, in the same way you might have uncountably infinitely many positions on a number line.

# ? Apr 21, 2021 11:41

Zetsubou-san: Jan 28, 2015; Cruel Bifaunidas demanded that you [stand]🧍 I require only that you [kneel]🧎

Hyperlynx posted:

How do get from that to a stack of Lin Kuei?

aleph_zero

# ? Apr 21, 2021 11:42

3D Megadoodoo: Nov 25, 2010

Stupid_Sexy_Flander posted:

He has 5 extra.

Perfect for 'ardly touched her.

# ? Apr 21, 2021 11:48

Pastry of the Year: Apr 12, 2013

Mierenneuker posted:

These crossovers are getting wild.

Went to bed hoping I'd wake up to this.

# ? Apr 21, 2021 11:49

ChubbyChecker: Mar 25, 2018

DontMockMySmock posted:

Those sets are both the same size as the counting numbers. You can tell because you can make a 1-to-1 correspondence between them, for example this correspondence between the counting numbers and the primes:
1 :: 2
2 :: 3
3 :: 5
4 :: 7
5 :: 11
and so on.

Since both lists go on forever, the correspondence never breaks down, and since it is well-defined and contains all the counting numbers on one side and all the primes on the other, the counting numbers and the prime numbers must be the same size. This holds despite the fact that everything on the latter list is on the former, but not everything on the former list is on the latter - infinity is weird like that. It's like how infinity plus one (or infinity times two or infinity divided by a billion or whatever) is still just infinity.

However, you cannot make a 1-to-1 correspondence between the counting numbers and the real numbers; the famous proof is called "Cantor's diagonalization argument," which I won't lay out here but you can look it up if you want. It proves that the set of real numbers is larger than the set of counting numbers, even though they are both infinite. It is provably unknowable (in the standard formulation of mathematics) whether or not there are any sizes of sets in between those two sizes (google "continuum hypothesis" for info). Also there are infinitely many possible sizes of infinite sets, each one larger than the last, with the smallest being called the size of the counting numbers, aleph_0, and higher ones, aleph_1, aleph_2, and so on. (aleph is the first letter of the Hebrew alphabet and I have no idea why it's used here. presumably because mathematicians ran out of latin and greek letters.)

So the trolley problem meme is comparing aleph_0 people and some other amount of people that is higher than aleph_0 (but it's unknowable which aleph it is). However, it doesn't really make any sense because the definition of "person" I would say definitely implies countability, so it does not make sense to have uncountably infinitely many people, in the same way you might have uncountably infinitely many positions on a number line.

pee pee poo poo number big

# ? Apr 21, 2021 11:53

Lodin: Jul 31, 2003; by Fluffdaddy

# ? Apr 21, 2021 12:00

kirbysuperstar: Nov 11, 2012; Let the fools who stand before us be destroyed by the power you and I possess.

Lodin posted:

lol

# ? Apr 21, 2021 12:04

Hyperlynx: Sep 13, 2015

Zetsubou-san posted:

aleph_zero

Right, I can see that, but...

...wait a second.

aleph[sub]zero[/sub]

# ? Apr 21, 2021 13:12

Unkempt: May 24, 2003; ...perfect spiral, scientists are still figuring it out...

Edit: gently caress, new page.

# ? Apr 21, 2021 13:36

Regarde Aduck: Oct 19, 2012; c l o u d k i t t e n; Grimey Drawer

Ah, another �gas leak� page

# ? Apr 21, 2021 13:59

burexas.irom: Oct 29, 2007; I disapprove of what you say, and I will defend your death because you have no right to say it!

I'm seeing a bunch of memes on twitter with labeled measures on stuff. Like this:

|----------------something---------------| |------something else-----|

What's that about

# ? Apr 21, 2021 14:16

i own every Bionicle: Oct 23, 2005; cstm ttle? kthxbye

# ? Apr 21, 2021 14:18

Procrastine: Mar 30, 2011

burexas.irom posted:

I'm seeing a bunch of memes on twitter with labeled measures on stuff. Like this:

|----------------something---------------| |------something else-----|

What's that about

Post examples?

# ? Apr 21, 2021 14:19

burexas.irom: Oct 29, 2007; I disapprove of what you say, and I will defend your death because you have no right to say it!

# ? Apr 21, 2021 14:20

flavor.flv: Apr 18, 2008; I got a letter from the government the other day
opened it, read it
it said they was bitches

Thats okay I'll do it

# ? Apr 21, 2021 14:27

Regy Rusty: Apr 26, 2010

They seem pretty self explanatory to me

# ? Apr 21, 2021 14:28

Goa Tse-tung: Feb 11, 2008; ;3; Yams Fan

|-------not getting the joke---| you are here |----birth of jesus---|img-timeline.jpg

# ? Apr 21, 2021 14:34

CainFortea: Oct 15, 2004

DontMockMySmock posted:

Those sets are both the same size as the counting numbers. You can tell because you can make a 1-to-1 correspondence between them, for example this correspondence between the counting numbers and the primes:
1 :: 2
2 :: 3
3 :: 5
4 :: 7
5 :: 11
and so on.

Since both lists go on forever, the correspondence never breaks down, and since it is well-defined and contains all the counting numbers on one side and all the primes on the other, the counting numbers and the prime numbers must be the same size. This holds despite the fact that everything on the latter list is on the former, but not everything on the former list is on the latter - infinity is weird like that. It's like how infinity plus one (or infinity times two or infinity divided by a billion or whatever) is still just infinity.

However, you cannot make a 1-to-1 correspondence between the counting numbers and the real numbers; the famous proof is called "Cantor's diagonalization argument," which I won't lay out here but you can look it up if you want. It proves that the set of real numbers is larger than the set of counting numbers, even though they are both infinite. It is provably unknowable (in the standard formulation of mathematics) whether or not there are any sizes of sets in between those two sizes (google "continuum hypothesis" for info). Also there are infinitely many possible sizes of infinite sets, each one larger than the last, with the smallest being called the size of the counting numbers, aleph_0, and higher ones, aleph_1, aleph_2, and so on. (aleph is the first letter of the Hebrew alphabet and I have no idea why it's used here. presumably because mathematicians ran out of latin and greek letters.)

So the trolley problem meme is comparing aleph_0 people and some other amount of people that is higher than aleph_0 (but it's unknowable which aleph it is). However, it doesn't really make any sense because the definition of "person" I would say definitely implies countability, so it does not make sense to have uncountably infinitely many people, in the same way you might have uncountably infinitely many positions on a number line.

Found the narrator in the trolley meme.

# ? Apr 21, 2021 14:58

LifeSunDeath: Jan 4, 2007; still gay rights and smoke weed every day

flavor.flv posted:

Thats okay I'll do it

cancel this meme sooner rather than later

# ? Apr 21, 2021 15:01

Paladinus: Jan 11, 2014; heyHEYYYY!!!

LifeSunDeath posted:

cancel this meme sooner rather than later

Done.
|-haha, funny meme-||--------------------------cancelled------------------------|

# ? Apr 21, 2021 15:04

90s Cringe Rock: Nov 29, 2006

Paladinus posted:

Done.
|- haha, funny meme -| |-------------------------- cancelled ------------------------| |----------------------------------------FWD:FWD:RE:FWD:FWD: ----------------------------------------|

# ? Apr 21, 2021 15:08

LifeSunDeath: Jan 4, 2007; still gay rights and smoke weed every day

90s Cringe Rock posted:

Done.
|- haha, funny meme -| |-------------------------- cancelled ------------------------| |----------------------------------------FWD:FWD:RE:FWD:FWD: ----------------------------------------|

Lol, now that's funny

# ? Apr 21, 2021 15:11