Worse, such equivocations denigrate the marvelous and real discoveries that modern mathematicians and physicists demonstrate to us.

Medieval European interest in mathematics was driven by concerns quite different from those of modern mathematicians.

Among these were some surprisingly sophisticated principles, and a modern mathematician might be hard put to derive some of them without the use of calculus.

Out of necessity and then perhaps out of habit, Ramanujan worked in a style that awes and frustrates modern mathematicians.

In this realm of the modern mathematician, curves exist without tangents.

Many modern mathematicians even hold that all convention, duty, morality, good, and the like, could not exist except for the fiction of free will.

Most modern mathematicians and philosophers of mathematics think that this particular definition is not circular in any problematic sense, and thus they reject the vicious circle principle.

Unfortunately this form of S5 is considered by modern mathematicians to be incorrect, and was shown by Paul Almond to imply a contradiction.

Defining a polyhedron as a solid bounded by flat faces and straight edges is not very precise and, to a modern mathematician, quite unsatisfactory.

If modern mathematical practices are what distinguish modern professional mathematicians from older ideas of folk mathematics.