The context principle is Frege's response to a puzzle about how abstract objects — numbers, logical objects — can be referred to at all. His answer is that we should not look for the meaning of number-words by looking for the objects that they name in isolation; rather, we should ask under what conditions sentences containing them are true. Words have meaning not as labels for objects but as contributions to the truth conditions of propositions.
The context principle is also a weapon against psychologism: the view that meanings are mental images or ideas. Frege argues that if we ask what mental image corresponds to the number four, we get nowhere. But if we ask what contribution the word "four" makes to the truth conditions of sentences like "there are four moons of Jupiter," we can give a precise, objective answer. The context principle shifts the locus of meaning from the mind to the proposition.
The context principle influenced Wittgenstein's Tractatus — "only in the nexus of a proposition does a name have meaning" — and his later Philosophical Investigations, where meaning is identified with use rather than reference. It also underlies Quine's argument that individual sentences lack determinate empirical content and must be tested as part of a larger theory. The principle remains contested but central to the philosophy of language.
The context principle is stated in the Introduction to Foundations of Arithmetic and applied throughout; Michael Dummett's Frege: Philosophy of Language (1973) is the standard systematic commentary.
