Another way that arguments can be unsound is if that, if you have premises which lead to a contradiction, then any conclusion from those premises is unsound.
Suppose my premises are:
* A: All Creteans have purple hair.
* B: I am a Cretean.
* C: All Creteans are liars.
It would be unsound to conclude that i have purple hair due to the contradiction produced by premises B and C.
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