Which one of the following statements most accurately characterizes a difference between the two passages?

IkeHansen on February 5, 2020

Logical reasoning yin yang

Hello- why is it that the logical opposite of must be true, not necessarily true? Intuitively I would think must be true's opposite should be cannot be true. Have the same thoughts regarding each of the other yin yang opposites. Thanks, Ike

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AndreaK on February 6, 2020

Hi @IkeHansen,

Remember, these are logical force opposites. It's not quite the same as how you would think of it in everyday language usage. The meaning and how you get to that meaning is more important than the synchrony of the terminology. So, if something must be true, then the alternative situation is where something could be false. If something isn't certainly true (must be true), then, that means it could be false, or not necessarily true. Saying something "cannot be true" is like saying something MUST be false, with is too strong. It doesn't accommodate for the space in the middle. If something isn't a "must be true" situation, that doesn't mean, then, that the alternative is that it MUST be false. Rather, the alternative is that it COULD be false, or in other words, "not necessarily true."

If this doesn't answer your question, feel free to let us know where in the video specifically you're referring to and if there's any more content from the video you didn't understand to allow us to better answer your question. On our end, we can only see an overview of the lesson so we don't have a way of telling exactly what part you're referring to without you letting us know. Hopefully though, this explanation helps clarify for you!