 Care must be taken, however. Wittgenstein distinguishes utterances which are sinnlos, which lack sense (including logical tautologies and contradictions here) from those which are unsinnig, nonsensical; it is not clear into which class mathematical utterances fall. One might well think that the game formalist should treat mathematical utterances, on that view just strings of meaningless marks, as unsinnig, not just sinnlos. One clear difference from game formalism however is this: for Wittgenstein mathematics should not be conceived of as a calculus separate from other uses of language. Rather he attempts to show that parts of arithmetic, at least, can be seen as grounded in non-mathematical uses of language. Frege by contrast, whilst arguing that a proper account of arithmetic (and analysis) should show how its generality enables one to give a uniform account of multifarious different applications (cf. Dummett, 1991 Chapter 20) also argued strongly for the view that mathematical utterances have a meaning independent of, in conceptually prior to, their use in applications.