On Valentin Turchin's Works on Cybernetic Philosophy, Computer Science and Mathematics
Andrei Valentinovich Klimov · 2012
The history, context, main ideas, motivation and research objectives of Valentin Turchin's works on philosophy, cybernetics, com- puter science and mathematics are outlined. Valentin Turchin's scientic legacy comprises three parts: cybernetic philosophy with the notion of a metasystem transition as a quantum of evolution; application of the philosophy to analysis of evolution of human society; and application of the philosophy to science | cybernetics, computer science and math- ematics. In computer science, his main contributions are the program- ming language Refal and program transformation technique known as supercompilation. In mathematics, he has developed a new constructive foundation of mathematics referred to as the Cybernetic Foundation of Mathematics.