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Mind, machines and Godel: A retrospect

In Peter Millican & A. Clark (eds.), Machines and Thought. Oxford University Press. pp. 103 (1996)

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  1. On Some Properties of Humanly Known and Humanly Knowable Mathematics.Jason L. Megill, Tim Melvin & Alex Beal - 2014 - Axiomathes 24 (1):81-88.
    We argue that the set of humanly known mathematical truths (at any given moment in human history) is finite and so recursive. But if so, then given various fundamental results in mathematical logic and the theory of computation (such as Craig’s in J Symb Log 18(1): 30–32(1953) theorem), the set of humanly known mathematical truths is axiomatizable. Furthermore, given Godel’s (Monash Math Phys 38: 173–198, 1931) First Incompleteness Theorem, then (at any given moment in human history) humanly known mathematics must (...)
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  • Computability and human symbolic output.Jason Megill & Tim Melvin - 2014 - Logic and Logical Philosophy 23 (4):391-401.
    This paper concerns “human symbolic output,” or strings of characters produced by humans in our various symbolic systems; e.g., sentences in a natural language, mathematical propositions, and so on. One can form a set that consists of all of the strings of characters that have been produced by at least one human up to any given moment in human history. We argue that at any particular moment in human history, even at moments in the distant future, this set is finite. (...)
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  • Godel on the mathematician's mind and Turing Machine.Inês Hipólito - 2014 - E-Logos 21 (1):1-11.
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  • The introspection game - or, does the tin man have a heart?Andrew Clifton - 2003
    Eliminative functionalism is the view that mental attributes, of humans and other machines, consist ultimately in behavioural abilities or dispositions. Hence, ‘Strong AI’: if a machine consistently acts as if it were fully conscious, then conscious it is. From these assumptions, optimistic futurists have derived a variety of remarkable visions of our ‘post-human’ future; from widely-recognised ‘robot rights’ to ‘mind uploading’, immortality, ‘apotheosis’ and beyond. It is argued here, however, that eliminative functionalism is false; for at least on our present (...)
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