It's not a "False Equivalence"; it's a "False Choice/Dilemma"

False Equivalence

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False equivalence is a logical fallacy in which two opposing arguments appear to be logically equivalent when in fact they are not.

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False Dilemma

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A false dilemma is a type of informal fallacy in which something is falsely claimed to be an "either/or" situation, when in fact there is at least one additional option.

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a popular meme among liberals and progressives is to declare "FALSE EQUIVALENCE" when discussing the violence of the auth-Left. their argument rests on the theory that we cannot equalize fascists and communists and since "Nazi" has a special place in our history, we have to ignore everything else and nothing compares

however, they are engaging in a logical fallacy of their own: the false choice

their argument is a false choice because it assumes there is only a binary option: hate Nazis or support Nazis, so if you try to attack auth-Left groups, then the implication is that you're pro-Nazi (b/c there are only 2 choices, and if you don't explicitly hate Nazis, then you support them)

so if you're confronted with this fallacy, point it out. there is no false equivalence between authoritarianism on the right or left, IF you are anti-authoritarian. their attempts to force you into a binary choice of either being pro-Nazi or anti-NAzi is a logical fallacy and you should point that out, too.

there is nothing ideologically inconsistent (or morally wrong) with being anti-authoritarianism

being anti-authoritarian means you can hate authoritarians on the left and right

being against authoritarians on the left does not imply that you support authoritarians on the right

also beware the demand of declaration of hatred of Nazis, wherein if you make a comment that doesn't include an outward hatred/rejection of Nazis, the implication is that you support Nazis. if you want to be really annoying, and i have thought about doing this, create a disclaimer to add to EVERY comment along the lines of:

Note: the above comment in no way excludes hatred of Nazis. Nazis are terrible, evil, and immoral and have no place in society. any failure to directly state this in no way implies support of their moral bankruptcy