I never actually expected an explanation for that logic, I just completely abandon rationality when doing so seems the most logical action at the given moment.

Also an explanation: Infinity+(amount)=Infinity. I'll come up with an explanation of the explanation later.

Just cause they're allowed to market that concoction as orange juice under whatever passes for consumer rights legislation over at your place doesn't turn it back to orange juice you know.

(Over here you need a minimum of 96% fruit juice content to use the word "juice" in your drink's brand name or advertising.)

(I like my country.)

Which would mean orange juice + something else = orange juice.

Well, there's no orange juice actually called "orange juice" that I know of*. They'll say things like "Good Morning 98% orange juice" on the box. The point is that juice + additives =/= plain juice.

It's more like orange juice + something else = orange juice' (o.j. prime).

As the juice that is added to the something else is not the exact same as the juice that is produced.

But we still give it the same name which is pretty much the point. It's the same as lots of other food ingredients. you buy a chocolate bar- it's not all chocolate. You go buy some milk, it's not all milk.
But it's an acceptable use of the term, and indeed standard practice, to call "orange juice+sugar+additivies" juist "orange juice".

I never suggested it was.

I mean, if we actually wanted to take this as more than a one-shot bit of absurdist humour, you can strip away all the components of NPF out and still have an NPF as long as the server still exists. That would be a forum in its basest form. Everyone brings their toys and games, and all the places they've been into the mix and the community evolves or breaks down, but it's still NPF. If there's a point at which you've add enough other things that it stops being NPF, it's when the community realises they've become a different place and decides to change the name. Which makes it rather arbitrary, since you could pick any spot in a forum's existence and reasonably do this, but language IS arbitrary. The name becomes what we mean and we become what the name means. Hell, the only reason Nuklear Power Forum is particularly definitive of this place is because we keep using it as a title. What percentage of threads made in the last year are even about Nuklear Power?

I think the fact that language has become so central to humanity has given us the odd little delusion that words equal objective truths. That's particularly troubling when it comes to the names of things.

Back on topic
 

This argument over what constitutes orange juice.

Oh look.

Also pretty contrary to most current linguistic theories which generally treat words as abstractions/symbols/pointers.

A far more relevant question is, however: If I colour orange juice blue is it still orange juice
I'm thinking no. It is clearly blue juice.