A truth condition specifies what must hold for a declarative expression to be true under an interpretation and context. It is distinct from the expression's actual truth value: someone can understand what would make a statement true without knowing whether those circumstances obtain.[ref]
Essentials of Linguistics (2nd edition) by Catherine Anderson and others. §7.11, The denotation of sentences and If and only if
For a toy example, interpret
Every marked tile is blue using a set of marked tiles and a set of blue tiles. Its truth condition is . If and , it is false; changing to makes it true. The rule remains fixed while the model changes. Truth conditions allow formal semantics to separate an interpretation from the evidence used to assess a particular situation, although pragmatics can contribute further conversational meaning. Articles by others on the same topic
A truth condition is a critical concept in semantics and philosophy, particularly in the context of language and meaning. It refers to the conditions that must be satisfied for a statement or proposition to be considered true. In other words, a truth condition outlines what must be the case in the world for a particular assertion to hold true. For example, consider the statement "The cat is on the mat.