"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas.

The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches...

"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas.

The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches...

Was ist die Natur mathematischer Objekte? Existieren sie unabh{ngig vom Gehirn des Menschen oder sind sie das Produkt der Gehirnaktivit{t? Kann schlie lich echte k}nstliche Intelligenz aus unbelebter Materie entstehen? Diese und weitere bis hin zur Ethik auftretende Fragen werden in Dialogform dynamisch von zwei hervorragenden Fachleuten der Mathematik und der Neurowissenschaften in diesem Buch diskutiert. Diese Darstellungsform soll den Leser anregen, selbst zu dem bis auf Plato zur}ckgehenden Problemkreis nachzudenken. Daf}r relevante Erkenntnisse der modernen mathematischen und...