There is a language L that is sufficiently powerful that most mathematics can be formulated in it, sufficiently natural that mathematicians can use it easily and sufficiently formal that computers can deal with it. For example in L one can state that ƒ is the primitive of the continuous function g on the reals (whereby explicit forms of ƒ and g can be given), that α is the largest eigenvalue of the symmetric matrix M, or that {x1, …, xk} is the basis of the Hilbert-space H (where again the x's and H can be described explicitly).