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Definition (Statement And Open Sentence)
- A statement is a sentence that can be classified as either true or false (but not both). The truth value of a statement is either "True" or "False." For a sentence to be a statement, it is not necessary that we know the truth value, but it must be clear that the value is either "True" or "False."
- Some sentences involve a variable, and the truth value of the sentence cannot be determined until the value of the variable is specified. An open sentence is a sentence involving a variable whose truth value cannot be determined until the variables in the sentence are specified, at which point the open sentence becomes a statement.