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Your analysis is good...
Except for the ad hominum at the end.
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Main Entry: 1ad ho·mi·nem
Pronunciation: (')ad-'hä-m&-"nem, -n&m
Function: adjective
Etymology: New Latin, literally, to the person
1 : appealing to
feelings or
prejudices rather than intellect
2 : marked by an
attack on an opponent's character rather than by an answer to the contentions made
ad hominem
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