Which is obviously untrue. Are digital photos of your child's birthday just a collection of ones and zeroes? No, they are not.
A like is an indication that someone you know is impressed by/is fond of/just generally liked something you posted. Yes, I know, social media is all false, people care too much about internet points, yadda yadda yadda, blah blah blah. The point is that they do care.
Fake likes are actually an interesting phenomenon. I'm reminded of a real world equivalent, where someone pretended to be a celebrity in Times Square, and tourists there believed it:
https://www.youtube.com/watch?v=XYU1a0lTTTw
If you look like you are important, people treat you like you are. It's a fascinating psychological phenomenon. Boiling it all down to "integer values" is just silly.
If anything, the example you give example supports the notion that "fake" likes are just as good as real likes, since pretending to be a celebrity can in fact make you famous.
> nor restricts particularly how they can be created.
Untrue, given that they've cracked down on bots posting automated activity on Instagram:
http://www.businessinsider.com/instagram-cracks-down-on-fake...
So what? It doesn't matter if the counterfiet handbags are good fakes, even indistinguishable. Similarly, if you put counterfeit money in a bank it becomes electronic. The integer values of "fake" and "real" money are completely indistinguishable. But it's still fake money, and when you're caught they'll still take it.
The likes are fake because the thing the integer claims to represent ("people who came across this organically via our site and liked this") is fabricated. Trying to say that it's not fake merely because "someone actually clicked like" is like saying fake product reviews are real because "someone actually filled out and submitted an electronic form."
>The amount isn't the issue here
OP said "as if most of likes were real ones," so obviously they think the amount is [at least part of] the issue.
The only restriction their TOS mentions about "likes" is that they shouldn't be "unwanted" ("aka spam"), there's absolutely nothing about them having to be sincere, permanent, not in exchange for money etc.
A fake like is called fake because the majority of people expect likes to come from users. It's an intuitive definition, and bringing counter types and amounts into it is very much misunderstanding how the word is being used.
Just... what's the point of the argument?!