At the Mactutor history page, it is said that Kronecker remarked to Lindemann:

"What good your beautiful proof on [the transcendence of] π? Why investigate such problems, given that irrational numbers do not even exist?"

It is also folklore that he remarked "God made the integers, all else is the work of man" and the above quotation becomes intriguing in this light. What might have been the intended meaning of Kronecker? Surely, he does not literally mean that π does not exist? Surely, he doesn't believe that convergence and real numbers do not make sense?