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Observational Advantages: A Philosophical Discussion

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Diagrammatic Representation and Inference (Diagrams 2018)

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Abstract

I distinguish two kinds of observational advantages: (i) a given representation is observationally advantageous over another if a logical consequence of the information represented in it is observable in the former but only inferable from the latter; (ii) a given representation is observationally advantageous over another if a logical equivalence is observable in the former but only inferable from the latter. The paper also discusses the following question: observing (vs inferring) a piece of information in a given representation is an advantage if the purpose of the system of representation is to directly observe what could otherwise be inferred. But if the purpose were to infer what could be otherwise be observed, then one should conversely speak of observational disadvantages.

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Notes

  1. 1.

    The type/token distinction was introduced by Peirce in his Syllabus of Logic for the Lowell Lectures delivered in 1903 ([2] §§2.255–272), and it has since then become canonic; cf. [3].

  2. 2.

    Example adapted from [4].

References

  1. Stapleton, G., Jamnik, M., Shimojima, A.: What makes an effective representation of information: a formal account of observational advantages. J. Logic Lang. Inf. 26(5), 143–177 (2017)

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  2. Peirce, C.S.: Collected Papers. Harvard University Press, Cambridge (1933–1958)

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  3. Wetzel, L.: Types and tokens. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy, Spring 2014 edn. (2014)

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  4. Howse, J., Molina, F., Shin, S.-J., Taylor, J.: On diagram tokens and types. In: Hegarty, M., Meyer, B., Narayanan, N.H. (eds.) Diagrams 2002. LNCS (LNAI), vol. 2317, pp. 146–160. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-46037-3_18

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Correspondence to Francesco Bellucci .

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Bellucci, F. (2018). Observational Advantages: A Philosophical Discussion. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds) Diagrammatic Representation and Inference. Diagrams 2018. Lecture Notes in Computer Science(), vol 10871. Springer, Cham. https://doi.org/10.1007/978-3-319-91376-6_30

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  • DOI: https://doi.org/10.1007/978-3-319-91376-6_30

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  • Publisher Name: Springer, Cham

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