I'm having a problem grasping how the logically opposite of must be true is not necessarily true. Wouldn't the opposite of must be true be that it cannot be true. I can memorize all day long, but I'm missing something fundamental about this.
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Great question. It sounds like when you're identifying the logically opposite statement, you're putting the "not" in the wrong place. Let's take a look.
Must be true
What's the logical opposite?
(NOT) must be true
Not must be true also means not necessarily true.
The way you're doing it, you're putting NOT in between "must" and "be" so that must be true turns into must NOT be true. Must not be true also means cannot be true.
The problem with the way you're doing it is that that's not how you figure out the logical opposite. When you figure out the logically opposite statement, you have to put NOT before the ENTIRE PHRASE that you're looking at.
Must be true
NOT must be true = not necessarily true.
Just remember to put your NOT before the whole thing, and that should help you keep things straight.
Does that make sense? Let us know if you have any other questions!
