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The NTS fallacy is a fallacy itself, and gets mis-used all the time.
Yes, it is misapplied at times. However, it is also correctly used at times. The times in which it is correctly used included when the criteria for membership into the disputed group are vague or not clearly specified, or when the arguer is equivocating, using (perhaps unintentionally) two different definitions of the disputed group.
I'm sorry if the NTSF has been misapplied to any of your arguments, but the NTSF
is a real (informal) logical fallacy that does occur, and when it occurs it does render the argument invalid. And, yes, there have been, and undoubtably will be, arguments used by Christians that are invalid because they commit the NTSF.
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It is a stupid saying made up from lies, to try and make specific groups of people responsible for individuals actions.
But if the arguer tries to give groups of people credit of the good actions of individuals while denying that the groups of people are responsible for the bad actions of individuals, then that could be an example of the NTSF. I have seen Christians try to do this.
"Intellectually, scientifically, even artistically, fundamentalism -- biblical literalism -- is a road to nowhere, because it insists on fidelity to revealed truths that are not true." -- Katha Pollitt