An interpretation of a theory is the relationship between a theory and some subject matter when there is a many-to-one correspondence between certain elementary statements of the theory, and certain statements related to the subject matter. If every elementary statement in the theory has a correspondent it is called a full interpretation, otherwise it is called a partial interpretation.
Read more about this topic: Interpretation (logic)
Famous quotes containing the words interpretation of and/or theory:
“Philosophers have actually devoted themselves, in the main, neither to perceiving the world, nor to spinning webs of conceptual theory, but to interpreting the meaning of the civilizations which they have represented, and to attempting the interpretation of whatever minds in the universe, human or divine, they believed to be real.”
—Josiah Royce (1855–1916)
“Everything to which we concede existence is a posit from the standpoint of a description of the theory-building process, and simultaneously real from the standpoint of the theory that is being built. Nor let us look down on the standpoint of the theory as make-believe; for we can never do better than occupy the standpoint of some theory or other, the best we can muster at the time.”
—Willard Van Orman Quine (b. 1908)