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A Machine That Knows Its Own Code

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Abstract

We construct a machine that knows its own code, at the price of not knowing its own factivity.

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References

  1. Alexander, S., The Theory of Several Knowing Machines. Dissertation, The Ohio State University, 2013

  2. Benacerraf P.: God, the devil, and Gödel. The Monist 51, 9–32 (1967)

    Article  Google Scholar 

  3. Carlson T. J.: Ordinal arithmetic and Σ1 elementarity. Archive for Mathematical Logic 38, 449–460 (1999)

    Article  Google Scholar 

  4. Carlson T. J.: Knowledge, machines, and the consistency of Reinhardt’s strong mechanistic thesis. Annals of Pure and Applied Logic 105, 51–82 (2000)

    Article  Google Scholar 

  5. Carlson T. J.: Elementary patterns of resemblance. Annals of Pure and Applied Logic 108, 19–77 (2001)

    Article  Google Scholar 

  6. Carlson, T. J., Sound epistemic theories and collapsing knowledge. Slides from the Workshop on The Limits and Scope of Mathematical Knowledge at the University of Bristol, 2012.

  7. Lucas J. R.: Minds, machines, and Gödel. Philosophy 36, 112–127 (1961)

    Article  Google Scholar 

  8. Penrose, R., The Emperor’s New Mind: Concerning Computers, Minds, and the Laws of Physics. Oxford University Press, Oxford, 1989.

  9. Putnam H.: After Gödel. Logic Journal of the IGPL 14, 745–754 (2006)

    Article  Google Scholar 

  10. Reinhardt W.: Absolute versions of incompleteness theorems. Noûs 19, 317–346 (1985)

    Article  Google Scholar 

  11. Shapiro S.: Epistemic and intuitionistic arithmetic. In: Shapiro, S. (eds) Intensional Mathematics., pp. 11–46. Elsevier, Amsterdam (1985)

    Chapter  Google Scholar 

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Correspondence to Samuel A. Alexander.

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Presented by Richmond Thomason

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Alexander, S.A. A Machine That Knows Its Own Code. Stud Logica 102, 567–576 (2014). https://doi.org/10.1007/s11225-013-9491-6

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  • DOI: https://doi.org/10.1007/s11225-013-9491-6

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