Once upon a time

__there was__an

__average__boy named Lok who struggled with his

__identity__. He declared himself to be

__homo__sexual and had the full

__support__from his

__sis__! But without anyone to share his love, Lok felt lonely and

__empty inside__. One day while playing

__ball__, Lok met a boy, Junjie, in the

__field__. Junjie had

__curl__y hair which drove Lok to do

__irrational__things. The two boys

__integrated__well into each others lives and decided to take things to the

__limit__. They engaged in a civil

__union__and on their honeymoon, Lok

__rooted__Junjie. The two moved into a nice home on the

__range__where they spent the rest of their days in

__relaxation__.

Side note: The Mathroom is back!

So now that we have boy meets girl and boy meets boy, we only require a girl meets girl and our set is closed....

That implies a closed set of genders ... since this is maths all we have to do is theorize that there may be other genders and voila!

We can still have a closed set without including all possible genders (just as we can restrict ourselves to binary operations, for the sake of simplicity.) But will it include an identity, and does each gender have an inverse?

Now why would we want to limit ourselves to binary operators?

Same reason we'd stick to a gender binary; it makes the mathematics simpler. We can introduce more complicated operators and genders in a later class, once we've fully understood the ones we have. Of course, the experimentalists can try whatever operators they like, but it's much easier to work out the theory first, and start with simpler scenarios. (Especially when you're a mathematician, and therefore have trouble getting a date.)

Unrelated: It would be fun to see the lyrics of Finite Simple Group (of Order Two) by The Klein Four Group illustrated this way.

I certainly don't want to be the neutered element of that structure.

I think that this coupling thing is more like the tensor product (= quantum mechanical sum) of two angular momenta. The values may add up or cancel each other all according to how the chips fall, and whether their orientations are aligned or not. If both are in an excited state, stranger things can come out as a consequence of the Clebsch-Gordan formula.

Funny... Lok looks like the guy in the previous love story and the one who went to the strip clubs! Identity crisis indeed!

I was talking more in terms of equivalence closure, (although it wouldnt be closed even then, but i assume that if a is married to b, b is married to a automatically)

I... have another idea about the story.

Once upon a time there was an

averageboy named Lok who struggled with his identity. He thought himself ashomosexual and had the full support from his sis! But without anyone to share his love, Lok felt lonely and empty inside. One day while playing ball, Lok met afemale, Jessica. Jessica hadcurly hair which made Lok fall in love and thus drove Lok to doirrationalthings.(Let's say, Lok mis-identified his own sexuality) The couplesintegratedwell into each others lives and decided to take things to thelimit. They engaged in a civilunionand on their honeymoon, LokrootedJessica. The two moved into a nice home on therangewhere they spent the rest of their days inrelaxation.This can be the story also.

I wouldn't call Lok average; he's mean