On the relation of Hilbert's second and tenth problem

Max F. De Castro

pp. 187-199

in: Robert S. Cohen (ed), Mexican studies in the history and philosophy of science, Berlin, Springer, 1995

Abstract

In August 1900, during the Second International Congress of Mathematicians, held in Paris, David Hilbert proposed 23 problems, well known since then. He tried to anticipate and, up to a certain point, to determine the subjects and predictable development of mathematics for the new century beginning. According to his opinion the vitality of a science in a given epoch depends directly on the number of problems raised, since they constitute the guide which directs the efforts of scientists.

Cited authors

Hilbert David