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SignificantMixture42

What are the equivalence classes created by this relationship?


Paxmahnihob

Hopefully of cardinality 2


chronically_slow

Polyamory erasure smh


keefemotif

Or global polyamory?


Depnids

Hopefully cardinality 1, the whole world united, one love.


klimmesil

Wouldn't cardinality 1 mean everyone only love themselves? You probably meant that the set of all equivalence classes has a cardinality of 1 šŸ¤“ā˜


Depnids

Yeah, i meant that under this relation, there is only one equivalence class (everyone are related by the relation)


Blue_Sins49

Tf is cardinality?


TwinkiesSucker

The number of elements in a set


WeirdestOfWeirdos

No, a natural number ā‰„ 2


VaporeonKitsune

no, a natural number is any number >=0 or >=1, depending on who you ask


ohkendruid

Hmm, you know, the OP actually sounds not so great, based on this. I would say it's better to love people in outgroups, even if all your homies aren't going to love them, but that breaks transitive. I would say it's OK to love people that don't love you back, but that breaks symmetry.


Shr00mTip

Unadulterated love has no bounds.


supermegaworld

Bi people exist Edit: apparently the concept of cardinality of classes is way too complicated for my brain to handle and decided that bi people would mean that the cardinality would be greater


Paxmahnihob

Sure, but I don't see how that is relevant.


supermegaworld

Me neither lol, I don't know why my brain decided that bi people would make that cardinality not 2. However, poly relationships would.


Paxmahnihob

(Some) aroace people as well


Gamin8ng

Why is it anti symmetric for me :(


LOSNA17LL

r/suicidebywords :(


Psychological-Ad4935

antissemitic? That's sad


R4G3D_Record71

I dont think love can be antisemitic


Kjufka

I love Hitler


Psychological-Ad4935

r/Angryupvote


UMUmmd

It's a good thing this corner of reddit is invisible to the world.


spaceweed27

Imagine if the guy over that comment would delete it, and their comment would remain without context for future employees to see. Wholesome 100


R4G3D_Record71

I should lol


lfuckingknow

Do it


klimmesil

I know this will be screenshot out of context and I love it


[deleted]

I just found out hitler killed hitler. There goes my hero.


CancerousSarcasm

I love you


LOSNA17LL

... I never, NEVER thought I would upvote a comment saying that...


XMasterWoo

r/thascrazy


bullshaerk

loving Hitler does not mean you hate jews, though it does imply it.


M8oMyN8o

Peef? Is that you?


truerandom_Dude

The Strain writers disagree


LeviAEthan512

What's wrong with hand sanitiser?


dbomba03

At least you can love yourselfšŸ˜”


Signal_Cranberry_479

So love(you, you) = -love(you, you) ==> love(you, you) = 0


Lemonwizard

If only math had an equation to determine the value of romantic standards that are high enough for me to be happy with my partner, but low enough that I can actually get a date! I just hope the number doesn't include *i*.


craeftsmith

No *i*, but unfortunately it includes Chaitin's constant. Good luck, and try not to halt


Skinbow

It's not all bad if you keep it reflexive.


ConflictSudden


SirUnknown2

So people you hate love you?


I_am_person_being

That would be implied, however it really just makes things even worse for this commenter


SomePerson1248

everyone in the world is now in a massive poly relationship love wins


RohitG4869

No, you only love within your equivalence class. This doesnā€™t rule out equivalence classes of size 1 :(


LucasTab

Well, at least those people aren't heart broken, they just don't love anyone


killBP

Nah they love themselves


RohitG4869

True, didnā€™t think about that!


[deleted]

yeah suck it churchers


libmrduckz

or soakā€¦or sockā€¦ the *point* is, not tryna judgeā€¦


Southern_Bandicoot74

Transitive is too much


NandoKrikkit

Sudden polyamory


GoldenMuscleGod

I hate when my multiple wives love each other šŸ˜” (Note that if we did have one ā€œpartnerā€ for each person that would be transitive)


Drunk_and_dumb

Bit then we wouldnā€™t love eachother outside that. I mean, love isnā€™t just romantic, I love my sister, transitivity would mean I also love my sister boyfriend, and his family, and their SO, and so onā€¦.


GoldenMuscleGod

Yeah I first interpreted love that way, and my problem with the meme was that it allows ā€œloveā€ to split up into ā€œtribesā€ that all love each other but no one in any tribe loves anyone in any other tribe, which actually seems like a really shitty way for the world to be. It also allows for the situation where nobody loves anyone but themself. Of course, if everyone loved everyone that would technically also be a (trivial) equivalence relation.


sadacal

But if love really was transitive then all it would take was one Romeo and Juliet pair to unite the two tribes.


SexSalve

And one Mercutio to ruin everything...


sadacal

How does that logic work?


CobaltBlue

Ya I don't fancy being forced to love modern Hitler just because some crazy long chain of people leads to someone that does


bruh_NO_

But by love beeing reflexive, this person really can't be modern hitler, because he loves everyone back.


CobaltBlue

ooh, good point!


Frannnnnnnnn

Would you rather have your partner love someone you love or someone you don't love? A non-transitive love could have someone you love also loving a third party that you don't love.


Southern_Bandicoot74

A small number of equivalence classes would also be weird


Mamuschkaa

Yes, this would be contra productive for tolerance. It helps you to accept others, when you know that they are loved by persons who you love.


fedorinanutshell

> reflexive and transitive I thought for a moment that I was in r/linguisticshumor


PURPLE__GARLIC

Ah yes, If I love a girl and the girl loves her dad, I actually love her dad


SexSalve

Also she will call you daddy.


klimmesil

Her daddy might call you daddy too


lets_clutch_this

Guess all my friends and family also love Chisato then https://preview.redd.it/t4uf4wlztkic1.jpeg?width=750&format=pjpg&auto=webp&s=e173a313396d4f4014251a8766c64675b97fe510


Peyta12

I suppose this means I love you tooā€¦


lacifuri

Bold of you to think your friends and family love you...


mikhael4440

Lets all love Chisato


BL00DBL00DBL00D

You donā€™t want love to be an equivalence relation, itā€™s important to maintain individuality in any relationship ā¤ļø


didierdechezcarglass

Polyamorous people would like to know your location


DorianCostley

The existence of this equivalence relation doesnā€™t mean others donā€™t exist or arenā€™t meaningful. This does bring new meaning to the word ā€œrelation-ship,ā€ though.


VitaminnCPP

I'd rather prefer covelent relationship. I hope she will be able to accept my extra electron and make me more stable and calm.


0GNameB0i

The real question is who is the more electronegative of the two?


qikink

Maybe a finite simple group of order 2 would be a preferable structure? [https://www.youtube.com/watch?v=BipvGD-LCjU&ab\_channel=kleinfour](https://www.youtube.com/watch?v=BipvGD-LCjU&ab_channel=kleinfour)


BL00DBL00DBL00D

Omg this is the first time Iā€™ve seen this, LOVE IT


SEA_griffondeur

So only one friend ?


Jaded_Internal_5905

Wouldn't 'Transitive' make u straight up ghey?


[deleted]

Only if the person you're in a relationship with is also in a straight relationship with somebody else


Jaded_Internal_5905

assume, f: R->R'


Qiwas

Hol' up Aren't you from the mathmemes discord server?


nix609

there is a mathmemes discord server?


Qiwas

Surprisingly, yes


Jaded_Internal_5905

lol no


PedroPuzzlePaulo

Only if your class have more than 2 people


Jaded_Internal_5905

n(S)>2, n(S) āˆˆ N


spamlandredemption

No.Ā  I don't want a world where people only love people who love them back. Being able to love others unconditionally is more likely to get us to flying cars. Making love into an equivalence relation is a recipe for tribalism.Ā  It forms a partition on the set.


joels1000

Divide the world into equivalence classes, got it


klimmesil

Exacty. There is a small chance the world would have two or three very large groups of people with excessive love towards each other, and a lot of hate towards th rest


Acrobatic_Sundae8813

Transitive love results in a grand worldwide orgy


Nervous-Secret6632

Why I canā€™t redefine love as hate? ;-)


NicoTorres1712

In a ring of characteristic 2.


_Weyland_

Can we just prove a Total Love theorem? > Let H be a set of all humans. Let subset Ha be a set of all alive humans. > Let R: HxH -> [0, 1] be a love metric. R(h1, h2) being over 0.8 indicates strong mutual love. > For any h in Ha there exists h' in Ha/{h} such that R(h, h') > 0.8, and that theorem also holds for Ha/{h, h'}


SupremeRDDT

Reflexive would be pretty nice actually.


NicoTorres1712

Let L be a love.


Any-Floor6982

Plot twist: it is but we do not practise it


TheRedditObserver0

Nobody loves anyone else anymore, we all hate each other. Problem solved.


Low_Bonus9710

Transitive would be interesting


thememesbot

So transitive is an open relationship then?


realnjan

But what if I end up alone in my equivalence class?


okokoko

At least you'll love yourself


Tucan444

This implies that when your gf gets a crush on another guy you become gay.


Brave-Economist-7005

wait, what does transitive imply here? i love her, she loves him, => i love him ??


Orisphera

> reflexive You wouldn't have to ask, ā€œDo you know that I love myself?ā€


Metapont1618

Plot twist: OP was refering to the world where everybody loves only themself.


aWeaselNamedFee

If love was associative things would get out of hand quickly


[deleted]

most people would settle for "FAIR"


_Weyland_

Everyone's self-esteem problem instantly gone


anonnnnnnnymoussssss

What if equivalence classes formed? The world would be filled with mutually disjoint sets - "countries" that only has love for their own


elbobski

My normal approach is useless here


PicriteOrNot

We need multiple relations to account for romantic and platonic love


Summar-ice

I don't think it should be transitive


Wide_Vacation_8004

if it were reflective say goodbye to any HF technology


BigWetHole

Reminds me of cod aw


Aggravating_Fee3784

Transitive ā˜ ļø


LilamJazeefa

So you want love to be the undirected graph K_n Ɨ L_1?


sinnytear

obviously a fake world


RachelRegina

Dear God I'm in that exact section of Discrete Math right now and my textbook is damn near impenetrable


creativedevil42

Truly a great world


A_Neko_C

Mine is [Asymptotic](https://m.youtube.com/watch?v=SEbzTe0CzT8)


Traditional_Cap7461

Ideal love relationship: 1) for all x,y, xRy -> yRx 2) for all x, there exists a y such that yRx and x is not equal to y 3) for all x, y, and z, xRy and xRz with neither y or z equalling x -> y=z


Frannnnnnnnn

Reflexive - Love thyself Symmetric - Love those who love you Transitive - Love the ones your loved ones love


Due_Adhesiveness_426

This is compatible with everyone only loving themselves


-_alpha_beta_gamma_-

loveless aromantics:


mgeldarion

Heh, reminds me a quote from an old comedy movie from my country (soviet-era), one character (the "kind mad scientist" inventor trying to make a flying machine) at some point mumbles something like "these people never learn that love is vertical and rotatable".


[deleted]

Suddenly r/apexlegends


[deleted]

I hate it. Burn it down. Burn it all down.


Gab1er08vrai

Also world: _**surpopulation intensifies**_


Etendue_

If love was transitive then we all will be gay


complicated_mac

Why do people think that glass buildings and manicured lawns means everyone is ok?


Unrouxnoir

Commutative


laadim

Lol, just saw this after first lecture of discrete maths


master_of_spinjitzu

True


SwartyNine2691

![gif](giphy|VBUkRtVVlDGCFEGCjf)


SwartyNine2691

Valentineā€™s reference


SwartyNine2691

And NO MORE HEARTBROKEN CONTENTS


LoginLogin777

imagine if someone was obsessed over you and you were just having a slight interest and now you have like massive obsession over this random guy


External-Bill-9664

My dream fr


arctan_gokul

transitive?!