[youoy]

I get your point, but i think the real issue is -(1/(-1/x)). It is the one that is being overlooked the most in our society, as if it were something normal, but it contains some of the deepest truths imho.

[iamgopal]

how about -1/(-(1/(-1/x))) ? How many roads must a man walk down before we can call him a man ?

[zkmon]

No need of walking, they just need to be able to read post properly before calling him a man.

[zkmon]

No you didn't get it. You missed "Let's consider them as operations. Apply any one of them on any other of them, you get the third one."

[youoy]

So is what i wrote a third one? Fourth? Fifth? :)

[zkmon]

Not sure what you are talking about. What you wrote reduces to just x. What I meant was, if you substitute say, -x for x in -1/x, you get 1/x, which is the third inverse. Same is true for the other two pairs. So, if we call them functions f, g and h, then, f=g(h)=h(g); g=f(h)=h(f); h=f(g)=g(f)