You use quarks as your one example of something that is not emergent. However, how can you prove that quarks are not a system of smaller interacting particles?
This misses the point. 'Quarks' were a stand-in for whatever particle you take to be fundamental; if there's something smaller than quarks, that does not defeat the notion that it is unhelpful to describe the action of the stock market in terms of its non-quarkness.
As for emergence, the way I understand Emergence based on this post and the comments is that emergence is a result of the parts of a system interacting with one another, possibly limited to those event that were not predicted.
In what way is this a useful concept? In particular, having not been predicted is a feature of the predictor, not so much of the event, and so attaching the adjective to the event invites thinking wrongly that 'emergence' is fundamental to the event.
insisting that a word is terrible just because it was used wrong by some people is obviously an ad hominem argument.
It is not an ad hominem argument. I know that because you club baby seals and you claimed it was an ad hominem argument; therefore, it is not an ad hominem argument. The previous sentence is an example of an ad-hominem argument. There are of course other varieties of ad hominem, but it isn't any of those either.
Just because some people use it wrongly does not mean it can't be used correctly, and replacing it with magical is simply non sequitor.
It is really not a non-sequitor. The point is that 'emergent' tells you about as much about the phenomenon as 'mysterious'. It doesn't communicate much more than "I don't understand why this happened" - as you grant above.
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You write "The evolutionary reasons for this are so obvious as to be worth belaboring: In the ancestral environment, politics was a matter of life and death."
Is there any evidence for that? That sounds much like the typical sort of sociobiologistic hypothesis which sounds so convincing that no one really thinks about it and just nods in agreement. So, are there any papers, experiments, mathematical models to back it up?
I would rather more suggest a hypothesis that it was (and is) very favorable for humans in terms of fitness to belong to a certain group of people and stick to that group - whether that group is a sports team, a class at school or a political party.
Well, I wouldn't dare to disagree with the rest of your article. Just that choosing of a political party has nothing to do with actual politics, just with sticking to a group.
Citystates in Greece had to deal with politics that certainly could mean life or death. When the Peloponnesian war broke out, states had to take sides, or risk being hated by both sides, and at risk for invasion and conquering. Rome around the time of Julius Caesar was turbulent, and where supporting the wrong Tribune could mean being put on a wanted list and killed by a bounty hunter when they came to power. In Germany, choosing the wrong side at the wrong time could certainly result in execution for heresay or treason. There are many examples throughout history where competing political views transferred into violence and killing, if not outright war.