1. A tautology seems kind of weird to me. It doesn't seem to make sense that no matter what you put in it is always true. What would be the value?
2. I remember doing math problems that, to me, seemed really ugly until someone reminded me that I could just switch the way that I wrote something to a different format and suddenly the problem became easy again. Reading about logical equivalence made me think of this. Sometimes it's easier to understand or apply when it's written differently.
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