Turing's Cognitive Science: A Metamathematical Essay for His Centennial

튜링의 인지과학: 튜링 탄생 백주년을 기념하는 메타수학 에세이

  • Received : 2012.07.13
  • Accepted : 2012.08.10
  • Published : 2012.09.30

Abstract

The centennial of Alan Mathison Turing(23 June 1912 - 7 June 1954) is an appropriate occasion on which to assess his profound influence on the development of cognitive science. His contributions to and attitudes toward that field are discussed from the metamathematical perspective. This essay addresses (i)Turing's mathematical analysis of cognition, (ii)universal Turing machines, (iii)the limitations of universal Turing machines, (iv)oracle Turing machine beyond universal Turing machine, and (v)Turing test for cognitive science. Turing was a ground-breaker, eager to move on to new fields. He actually opened wider the scientific windows to the mind. The results show that first, by means of mathematical logic Turing discovered a new bridge between the mind and the physical world. Second, Turing gave a new formal analysis of operations of the mind. Third, Turing investigated oracle Turing machines and connectionist network machines as new models of minds beyond the limitations of his own universal machines. This paper explores why the cognitive scientist would be ever expecting a new Turing Test on the shoulder of Alan Turing.

Keywords

Turing;Turing Machine;Universal Turing Machine;Oracle Turing Machine;G$\ddot{o}$del