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Modal-epistemic variants of Shapiro’s system of Epistemic Arithmetic

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Horsten_2-1me17fmsrhtrr7.pdf
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1994

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Notre Dame Journal of Formal Logic. Duke University Press. 1994, 35(2), pp. 284-291. ISSN 0029-4527. Available under: doi: 10.1305/ndjfl/1094061865

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This paper presents formalizations of classical first-order arithmetic which contain a modal and an epistemic operator. The embedding under variants of GodeΓs translation of Intuitionistic arithmetic in such systems is discussed, and for one modal-epistemic system of arithmetic a possible worlds semantics is given.

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100 Philosophie

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ISO 690HORSTEN, Leon, 1994. Modal-epistemic variants of Shapiro’s system of Epistemic Arithmetic. In: Notre Dame Journal of Formal Logic. Duke University Press. 1994, 35(2), pp. 284-291. ISSN 0029-4527. Available under: doi: 10.1305/ndjfl/1094061865
BibTex
@article{Horsten1994Modal-56952,
  year={1994},
  doi={10.1305/ndjfl/1094061865},
  title={Modal-epistemic variants of Shapiro’s system of Epistemic Arithmetic},
  number={2},
  volume={35},
  issn={0029-4527},
  journal={Notre Dame Journal of Formal Logic},
  pages={284--291},
  author={Horsten, Leon}
}
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