 Despite the fact that Wittgenstein clearly does not attempt to reduce mathematics to logic in either Russell’s manner or Frege’s manner, or to tautologies, and despite the fact that Wittgenstein criticizes Russell’s Logicism (e.g., the Theory of Types, 3.31–3.32; the Axiom of Reducibility, 6.1232, etc.) and Frege’s Logicism (6.031, 4.1272,  etc.),[2]  quite a number of commentators, early and recent, have interpreted Wittgenstein’s Tractarian theory of mathematics as a variant of Logicism (Quine 1940 [1981: 55]; Benacerraf &amp; Putnam 1964a: 14; Black 1964: 340; Savitt 1979 [1986: 34]; Frascolla 1994: 37; 1997: 354, 356–57, 361; 1998: 133; Marion 1998: 26 &amp; 29; and Potter 2000: 164 and 182–183). There are at least four reasons proffered for this interpretation.