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  1. What can be done for Mathematical Logic.G. Kreisel - 1967 - In Ralph Schoenman (ed.), Bertrand Russell: Philosopher of the Century. London, England: Allen & Unwin. pp. 273--303.
     
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  • Remarks on the philosophy of psychology.Ludwig Wittgenstein (ed.) - 1980 - Oxford: Blackwell.
    Wittgenstein finished part 1 of the Philosophical Investigations in the spring of 1945. From 1946 to 1949 he worked on the philosophy of psychology almost without interruption. The present two-volume work comprises many of his writings over this period. Some of the remarks contained here were culled for part 2 of the Investigations ; others were set aside and appear in the collection known as Zettel . The great majority, however, although of excellent quality, have hitherto remained unpublished. This bilingual (...)
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  • On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
  • Zwei Unentscheidbare Probleme Der Analysis.Bruno Scarpellini - 1963 - Mathematical Logic Quarterly 9 (18-20):265-289.
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  • Some undecidable problems involving elementary functions of a real variable.Daniel Richardson - 1968 - Journal of Symbolic Logic 33 (4):514-520.
  • Turing, Wittgenstein and the science of the mind.Diane Proudfoot & Jack Copeland - 1994 - Australasian Journal of Philosophy 72:497-519.
  • A computable ordinary differential equation which possesses no computable solution.Marian Boylan Pour-el - 1979 - Annals of Mathematical Logic 17 (1):61.
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  • A Computable Ordinary Differential Equation with Possesses no Computable Solution.G. Kreisel - 1982 - Journal of Symbolic Logic 47 (4):900-902.
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  • Physical symbol systems.Allen Newell - 1980 - Cognitive Science 4 (2):135-83.
    On the occasion of a first conference on Cognitive Science, it seems appropriate to review the basis of common understanding between the various disciplines. In my estimate, the most fundamental contribution so far of artificial intelligence and computer science to the joint enterprise of cognitive science has been the notion of a physical symbol system, i.e., the concept of a broad class of systems capable of having and manipulating symbols, yet realizable in the physical universe. The notion of symbol so (...)
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  • Which number theoretic problems can be solved in recursive progressions on Π1 1-paths through O?G. Kreisel - 1972 - Journal of Symbolic Logic 37 (2):311-334.
  • A notion of mechanistic theory.G. Kreisel - 1974 - Synthese 29 (1-4):11 - 26.
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  • Computability and physical theories.Robert Geroch & James B. Hartle - 1986 - Foundations of Physics 16 (6):533-550.
    The familiar theories of physics have the feature that the application of the theory to make predictions in specific circumstances can be done by means of an algorithm. We propose a more precise formulation of this feature—one based on the issue of whether or not the physically measurable numbers predicted by the theory are computable in the mathematical sense. Applying this formulation to one approach to a quantum theory of gravity, there are found indications that there may exist no such (...)
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  • Church's thesis and the ideal of informal rigour.Georg Kreisel - 1987 - Notre Dame Journal of Formal Logic 28 (4):499-519.
  • What is church's thesis? An outline.Jon Doyle - 2002 - Minds and Machines 12 (4):519-520.
  • Brainstorms: Philosophical Essays on Mind and Psychology.Daniel C. Dennett (ed.) - 1978 - Cambridge, Massachusetts: Bradford Books.
    Intentional explanation and attributions of mentality -- International systems -- Reply to Arbib and Gunderson -- Brain writing and mind reading -- The nature of theory in psychology -- Skinner skinned -- Why the law of effect will not go away -- A cure for the common code? -- Artificial intelligence as philosophy and as psychology -- Objects of consciousness and the nature of experience -- Are dreams experiences? -- Toward a cognitive theory of consciousness -- Two approaches to mental (...)
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  • What is computation?B. Jack Copeland - 1996 - Synthese 108 (3):335-59.
    To compute is to execute an algorithm. More precisely, to say that a device or organ computes is to say that there exists a modelling relationship of a certain kind between it and a formal specification of an algorithm and supporting architecture. The key issue is to delimit the phrase of a certain kind. I call this the problem of distinguishing between standard and nonstandard models of computation. The successful drawing of this distinction guards Turing's 1936 analysis of computation against (...)
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  • Turing's o-machines, Searle, Penrose, and the brain.Jack Copeland - 1998 - Analysis 58 (2):128-138.
    In his PhD thesis (1938) Turing introduced what he described as 'a new kind of machine'. He called these 'O-machines'. The present paper employs Turing's concept against a number of currently fashionable positions in the philosophy of mind.
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  • Super Turing-machines.Jack Copeland - 1998 - Complexity 4 (1):30-32.
    The tape is divided into squares, each square bearing a single symbol—'0' or '1', for example. This tape is the machine's general-purpose storage medium: the machine is set in motion with its input inscribed on the tape, output is written onto the tape by the head, and the tape serves as a short-term working memory for the results of intermediate steps of the computation. The program governing the particular computation that the machine is to perform is also stored on the (...)
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  • The sciences of the artificial.Herbert Alexander Simon - 1969 - [Cambridge,: M.I.T. Press.
    Continuing his exploration of the organization of complexity and the science of design, this new edition of Herbert Simon's classic work on artificial ...
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  • Handbook of Logic in Computer Science.Samson Abramsky, Dov M. Gabbay & Thomas S. E. Maibaum - 1992
     
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  • The Conscious Mind: In Search of a Fundamental Theory (2nd edition).David J. Chalmers - 1996 - Oxford University Press.
    The book is an extended study of the problem of consciousness. After setting up the problem, I argue that reductive explanation of consciousness is impossible , and that if one takes consciousness seriously, one has to go beyond a strict materialist framework. In the second half of the book, I move toward a positive theory of consciousness with fundamental laws linking the physical and the experiential in a systematic way. Finally, I use the ideas and arguments developed earlier to defend (...)
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  • The emperor’s new mind.Roger Penrose - 1989 - Oxford University Press.
    Winner of the Wolf Prize for his contribution to our understanding of the universe, Penrose takes on the question of whether artificial intelligence will ever ...
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  • Artificial Intelligence: A Philosophical Introduction.B. Jack Copeland - 1993 - Cambridge: Blackwell.
    Presupposing no familiarity with the technical concepts of either philosophy or computing, this clear introduction reviews the progress made in AI since the inception of the field in 1956. Copeland goes on to analyze what those working in AI must achieve before they can claim to have built a thinking machine and appraises their prospects of succeeding.There are clear introductions to connectionism and to the language of thought hypothesis which weave together material from philosophy, artificial intelligence and neuroscience. John Searle's (...)
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  • Computability, complexity, logic.Egon Börger - 1989 - New York, N.Y., U.S.A.: Elsevier Science Pub. Co..
    The theme of this book is formed by a pair of concepts: the concept of formal language as carrier of the precise expression of meaning, facts and problems, and the concept of algorithm or calculus, i.e. a formally operating procedure for the solution of precisely described questions and problems. The book is a unified introduction to the modern theory of these concepts, to the way in which they developed first in mathematical logic and computability theory and later in automata theory, (...)
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  • Does General Relativity Allow an Observer to View an Eternity in a Finite Time?Mark Hogarth - 1992 - Foundations Of Physics Letters 5:173--181.
     
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  • Mathematical Logic.Georg Kreisel - 1965 - In Lectures on Modern Mathematics. New York: Wiley. pp. 95-195.
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  • Non-Turing Computers and Non-Turing Computability.Mark Hogarth - 1994 - Psa 1994:126--138.
    A true Turing machine (TM) requires an infinitely long paper tape. Thus a TM can be housed in the infinite world of Newtonian spacetime (the spacetime of common sense), but not necessarily in our world, because our world-at least according to our best spacetime theory, general relativity-may be finite. All the same, one can argue for the "existence" of a TM on the basis that there is no such housing problem in some other relativistic worlds that are similar ("close") to (...)
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