Notes to Willard van Orman Quine
3. Extensionality also requires that replacing a singular term in a sentence by another with the same reference leave the truth-value of the sentence unchanged. The requirement perhaps has more evident plausibility than the others but it plays no role in Quine’s fully regimented theory because in that theory singular terms are eliminated by the technique of Russell’s analysis of definite descriptions. Given weak and plausible assumptions, the three requirements stand or fall together; see, for example, Quine, 1995, 91.