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existential fallacy
a particular conclusion, (some x are y) is derived from purely universal premises (all x are y)
a non sequitur fallacy
when a conclusion does not logically follow from the premises rendering the reasoning invalid
the rationalization fallacy
false or inauthentic reasons are offered to justify a claim, decision or behavior that was driven by irrational or emotional motives
the anecdotal fallacy
when someone uses personal experience or an isolated one off story instead of sound, statistical evidence to make a conclusion