Leaving mathematics for philosophy / by René Thom -- Róle of integrable models in the development of mathematics / by Sergei Novikov -- The current state and prospects of geometry and nonlinear differential equations / by Shing-Tung Yau -- Noncommutative geometry / by Alain Connes -- Theory of computation / by Stephen Smale -- Knots in mathematics and physics / by Vaughan F.R. Jones -- Recent progress in diophantine geometry / by Gerd Faltings.