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Is x equals 0 a mathematical sentence?

Updated: 4/28/2022
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13y ago

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What do you mean by a "mathematical sentence"?

In some practice in analysis (Calculus stuff), we call a statement a sentence if it looks like one or any combination of the following:

"For all a in set A, condition P(a) is true/false"

"There exist some (or unique) a in set A where P(a) is true/false"

So in that practice, your statement is NOT a sentence, but if you phrase it

"There exist a unique x in our set where x = 0 is true" or simply

"There exist a unique element x where x = 0" It would be a sentence.

BUT, I am pretty sure what I am talking about is not the same "mathematical sentence" as yours.

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Q: Is x equals 0 a mathematical sentence?
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Is xy equals 0 - x equals 0 or y equals 0 a biconditional statement?

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