Continua and Digital Computers J. PEREDY Dr. Habil. Prof. Em.
Idézetek Lovász professzor hivatkozott cikkébol:
The main external source of mathematical problems is science, in particular physics. The traditional view is that space and time are continuous, and that the laws of nature are described by differential equations.
Accordingly, the mathematics used in most applications is analysis, the real hard core of our science. But especially in newly developing sciences discrete models are becoming more and more important.
One might observe that there is a finite number of events in any finite domain of space-time.
How far would a combinatorial description of the world take us? Or could it happen that the description of the world as a continuum, or as a discrete (but terribly huge) structure are equivalent, emphasizing two sides of the same reality?
... the world of computers is discrete ...
... the real understanding involves, I believ, a synthesis of the discrete and continuous, and it is an intellectually most challenging goal to develop these mathematical tools.