closed sentence
logic
Quick Summary
An open sentence is a statement that contains an unknown or a blank, and it can be either true or false depending on what is substituted for the unknown. For example, "x = 1" is an open sentence because its truth depends on the value of 'x'.1
In contrast, a closed sentence has a definite truth value. For instance, "0 = 1" is a closed sentence and is false. The concept of truth within a language itself is complex and can lead to paradoxes, such as the liar paradox ("This sentence is not true").2
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