David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Synthese 95 (2):219 - 240 (1993)
In the framework of set theory we cannot distinguish between natural and non-natural predicates. To avoid this shortcoming one can use mathematical structures as conceptual spaces such that natural predicates are characterized as structurally nice subsets. In this paper topological and related structures are used for this purpose. We shall discuss several examples taken from conceptual spaces of quantum mechanics (orthoframes), and the geometric logic of refutative and affirmable assertions. In particular we deal with the problem of structurally distinguishing between natural colour predicates and Goodmanian predicates like grue and bleen. Moreover the problem of characterizing natural predicates is reformulated in such a way that its connection with the classical problem of geometric conventionalism becomes manifest. This can be used to shed some new light on Goodman's remarks on the relative entrenchment of predicates as a criterion of projectibility.
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References found in this work BETA
Nelson Goodman (1983). Fact, Fiction, and Forecast. Harvard University Press.
Hilary Putnam (1975). Mind, Language, and Reality. Cambridge University Press.
W. V. Quine (1969). Ontological Relativity and Other Essays. Columbia University Press.
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Citations of this work BETA
Thomas Mormann (1995). Incompatible Empirically Equivalent Theories: A Structural Explication. Synthese 103 (2):203 - 249.
Richard Dietz (2013). Comparative Concepts. Synthese 190 (1):139-170.
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