True. In logic, a ';statement'; is defined as an assertion that can be determined to be true or false. The ';truth value'; of a statement is its determination either of truth or falsity.
By this definition, every ';statement'; has a truth value.
Examples of such statements are: ';Every time Carlos works late, Jenny takes the bus home';, and ';most of the people in this room said that they enjoy the smell of daffodils';. (The truth value of either statement could be determined, by direct observation or perhaps deduction.)
So, if we restrict the set of things known as ';statements'; to those things which are either true or false, then of course every statement has a truth value.
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However, you didn't define the scope of your terminology. So, it may depend on your definition of ';statement';:
In a more general sense, if, by ';statement';, you mean simply any assertion or claim that can be expressed in words, then there are many such ';statements'; which hold no truth values: For instance, paradoxes, expressions of subjective experiences or personal taste, and claims which cannot be falsified.
Examples of general statements which have no logical truth values are: ';This statement is false'; (which is a paradox), ';this statement is beautiful'; (which cannot be falsified lacking established criteria), and ';daffodils smell good'; (which is subjective and a matter of personal taste).True or False, every statement has a truth value?
Sure. If it is a false statement, then that is still the truth.
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