I'm reading some books on theory of knowledge and philosophy of mind. In those readings, notion of "open sentences" are used for certain extension, for example by Davidson.
Question: what does open sentence mean in philosophy?
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An open sentence is a sentence featuring a free variable. They are sometimes called open formulas.
For example, 'x is green' is an open sentence, whereas 'Sam is green' is not.
Open sentences can be thought of as expressing a (possibly complex) property.
(I've checked and this is the sense being used in the Davidson paper mentioned.)