The two words under and stand do not relate directly to the word understand. Given the 'understand' does not mean of anything being of a position beneath any kind of stand. Though words do have their origins, they don't all mean the same thing as their origins because of a thing called 'language change', and splitting parts of words and looking up their meaning doesn't mean their definition equates to the definitions of the two words you've ended up with. Do you position yourself beneath the tripod? (Understand?)
I've studied this sort of thing and knew straight away where to look and have looked them up.
Government:
Govern - from greek; κυβερνάω (Steer, drive, guide, pilot)
-ment; you focus on the workd 'ment' forgetting that it is a suffix. In latin it is: -amentum (later -mente) which is:
Quote: "Used to form nouns from verbs, the nouns having the sense of "the action or result of what is denoted by the verb"."
Though mente as a noun means 'mind', when used as a suffix it does not.
The noun for somethig to steer or guide, not mind-control
Democracy:
Ancient Greek - δημοκράτια (dēmokratia)
δῆμος (dēmos), “‘common people’”)
κράτος (kratos), “‘rule, strength’”)
Rule of the common people, not 'sham-rule'
Aristocracy:
Ancient Greek - άριστοκρατία (aristokratia)
aristos - 'best'
thus 'rule of the best' not 'best rule' (though you came in close)
All you've really done is play with words, not looked at them properly and poorly analysed them to try and make up some false definitions - though the split up definitions don't mean entirely the same thing combined in English but sometimes compounds can change meanings and certainly language does change over the years and not just in spelling or the writing system, but meaning too.
As for getting other people look up for you, that's not how debate tends to work, if somebody questions your sources you don't tell them to look it up but you should be able to provide them straight up (having read/watched them) rather having somebody spend time going through google. If you don't know your sources or the sort of place to find them, then your argument will come off weak and gives plenty of reason to doubt your validity.
I'd be tempted to say something sarcastic and patronising as you just did, but I'm not going to be so harsh.