You seem to be splitting hairs and I'm not entirely sure why. Following the flow of conversation it should be pretty easy to infer the parent was referring to programming languages. Originally you said you don't think there should be a solution to the reflexive problem, and that in reply to a comment mentioning that Javascript was ugly (which is where the context of _programming_ language came from). I, and I believe the parent as well, took that to mean that you consider Javascript ugly because you don't believe it should operate the way it does. However, the point the parent was trying to make is that this is something common to all (programming) languages which follow the IEEE 754 standard and is therefore not some special case which makes Javascript any more ugly than another (programming) language.

It may not seem obvious and it may seem logically inconsistent but, like you said, this is computer science and things don't always work exactly the way we think they should. Usually because the obvious logical solution has problems when implemented so we change things around. In this case, NaN != NaN because of some of the limitations at the time IEEE 754 was proposed.