Let's say we have $N$ computers of different kind given (every computer is different and only exists once). They are rankable, so you can order them from best to worst computer. There is only $1$ best computer.
How can this be written formally, as a set ?
I've thought about expressing these $N$ computers as an indexed set, so $\left\{1,2,..,N\right\}$
Then , we need our computer set: $$C=\left\{c_i \mid i \in \left\{1,..,N\right\}\right\}$$
But now I have problem writing the best computer, can it be done like this? : Let $c_i$ with $i=1$ be the best computer.
And also I'm having problem with my set above because I'm not sure if it's really rankable the way I have written it, and also I don't know how to write it such that each of its elements is distinct / different to all its other elements ? :/