Graduate studies at Western
British Journal for the Philosophy of Science 56 (1):147-156 (2005)
|Abstract||The diagonal method is often used to show that Turing machines cannot solve their own halting problem. There have been several recent attempts to show that this method also exposes either contradiction or arbitrariness in other theoretical models of computation which claim to be able to solve the halting problem for Turing machines. We show that such arguments are flawed—a contradiction only occurs if a type of machine can compute its own diagonal function. We then demonstrate why such a situation does not occur for the methods of hypercomputation under attack, and why it is unlikely to occur for any other serious methods. Introduction Issues with specific hypermachines Conclusions for hypercomputation.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
B. Jack Copeland (2002). Accelerating Turing Machines. Minds and Machines 12 (2):281-300.
B. Jack Copeland (2002). Hypercomputation. Minds and Machines 12 (4):461-502.
B. Jack Copeland & Diane Proudfoot (2000). What Turing Did After He Invented the Universal Turing Machine. Journal of Logic, Language and Information 9 (4):491-509.
Paolo Cotogno (2003). Hypercomputation and the Physical Church-Turing Thesis. British Journal for the Philosophy of Science 54 (2):181-223.
B. Jack Copeland & Oron Shagrir (2011). Do Accelerating Turing Machines Compute the Uncomputable? Minds and Machines 21 (2):221-239.
Paolo Cotogno (2009). A Brief Critique of Pure Hypercomputation. Minds and Machines 19 (3):391-405.
Mike Stannett (2003). Computation and Hypercomputation. Minds and Machines 13 (1):115-153.
Tien D. Kieu (2002). Quantum Hypercomputation. Minds and Machines 12 (4):541-561.
Philip D. Welch (2004). On the Possibility, or Otherwise, of Hypercomputation. British Journal for the Philosophy of Science 55 (4):739-746.
Added to index2009-01-28
Total downloads15 ( #85,981 of 739,318 )
Recent downloads (6 months)1 ( #61,243 of 739,318 )
How can I increase my downloads?