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On Cocchiarella’s Retroactive Theory of Reference

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Philosophy's Loss of Logic to Mathematics

Part of the book series: Studies in Applied Philosophy, Epistemology and Rational Ethics ((SAPERE,volume 43))

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Abstract

I attempt to get further insights from Cocchiarella’s history and philosophy of logic in understanding the contrast of Aristotelian and Fregean logic. Recently Cocchiarella proposed a conceptual theory of the referential and predicable concepts used in basic speech and mental acts (Cocchiarella in Synthese 114:169–202, 1998). This theory is interesting in itself in that singular and general, complex and simple, and pronominal and nonpronominal, referential concepts are claimed to be given a uniform account. Further, as a fundamental goal of this theory is to generate logical forms that represent the cognitive structure of our speech and mental acts, as well as logical forms that represent only the truth conditions of those acts, it is an indispensable part of Cocchiarella’s conceptual realism as a formal ontology for general framework of knowledge representation. In view of the recent surge of interest in his formal ontology by cognitive scientists and AI people, at least, Cocchiarella’s theory of reference deserves careful examination. Above all, however, the utmost value of Cocchiarella’s theory of reference must be found in its challenge against what he calls “the paradigm of reducing general reference to singular reference of logically proper names” that pervades the 20th century (Cocchiarella in Synthese 114:169–202, 1998, 170). The aim of the present chapter is to provide an impressionistic sketch of Cocchiarella’s challenge.

This chapter was originally published in Park (2001, pp. 79–89).

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Notes

  1. 1.

    It will be an interesting and meaningful project to probe exactly when and where Cocchiarella figured out the substantial part of his theory of reference.

  2. 2.

    Cocchiarella’s early papers are found in Cocchiarella (1986), and Cocchiarella (1987). For his application of formal ontology to the problems of knowledge representation, see Cocchiarella (1995).

  3. 3.

    We may cite Nicola Guarino and his formal ontology research lab in Padova, Italy as an example.

  4. 4.

    According to Cocchiarella, there are two kinds of realism in conceptual realism. One is an intensional realism which concerns the denotata of nominalized predicates and propositional forms. The other is a natural realism which has to do with natural kinds and natural properties. I briefly discussed the former in Park (1990) and Park (1992), The latter was also presented in Park (1996).

  5. 5.

    In Cocchiarella (1995), 699, we find one further function of such cognitive capacities, i.e., “to identify objects”.

  6. 6.

    Cocchiarella (1995, in 699), characterized concepts as “intersubjectively realizable (and in that sense objective) cognitive structures that underlie our ability to think and communicate with one another”. Note the special role of the cognitive capacities that ground predicable concepts.

  7. 7.

    See, in particular, Cocchiarella’s “Frege, Russell, and Logicism” in Cocchiarella (1987). Among Frege’s writings, “Function and Concept”, and “On Concept and Object” must be relevant in this connection. Both papers are found in Frege (1952). See also Park (1990).

  8. 8.

    In addition to the writings of Cocchiarella already mentioned, Cocchiarella (1988) seems most important in this connection. See also, Cocchiarella (1992).

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Park, W. (2018). On Cocchiarella’s Retroactive Theory of Reference. In: Philosophy's Loss of Logic to Mathematics. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-95147-8_4

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