False Equivalency Poser

 Mathematical symbol for in-equation

A term I notice more and more as I scan through online articles and comment threads: "false equivalency". I understand the literal meaning of those words well enough, but at times am at a loss to relate them to what I'm reading. Having dipped into a variety of explanations of the term I see that it's one of, or maybe a generic term for (?) a family of figures of speech known as logical fallacies. See Skeptical Detective for a list of these.

As a Sun Aquarian logic ought to be stock-in-trade for me, but when logic is muffled in devious political argument it's sometimes hard to extract.

A definition of false equivalence in one sentence I quite liked is:

We may define false equivalence as when when someone falsely equates an act or idea of one as being equally egregious to that of another without also considering the underlying differences which may make the comparison invalid or unfair.

False equivalences often take the form of analogies that we are expected to take a little too seriously............... See the rest HERE

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Some examples given in attempted explanations around the net leave me still confused; one of the clearest, used in several different places, is this comparison:

The burka is worn by women and covers the hair.
The nun's habit is worn by women and covers the hair.
Thus the burka and nun's habit are equal.

That's patently untrue, and quite easy to dismantle. The problem for me comes when the false equivalency is wrapped up in a thick layer of party politics.

Anyone have any clear - or unclear - thoughts on this tangled topic?

There's quite likely to be a bit of false equivalency going on in astrology, come to think of it. Far be it from me to unscrew the lid on that wee can o' beans!