In this paper evidence will be provided that Wittgenstein’s intuition about the logic of colour relations is to be taken near-literally. Starting from the Aristotelian oppositions between propositions as represented in the logical square of oppositions on the one hand and oppositions between primary and secondary colors as represented in an octahedron on the other, it will be shown algebraically how definitions for the former carry over to the realm of colour categories and describe very precisely the relations obtaining between (...) the known primary and secondary colours. Linguistic evidence for the reality of the resulting isomorphism will be provided. For example, the vertices that resist natural single-item lexicalization in logic (such as the O-corner, for which there is no natural lexicalization *nall (=not all)) are not naturally lexicalized in the realm of colour terms either. From the perspective of the architecture of cognition, the isomorphism suggests that the foundations of logical oppositions and negation may well be much more deeply rooted in the physiological structure of human cognition than is standardly assumed. (shrink)

In philosophical circles, but not only there, Chomsky's views on natural language regularly fall a prey to misrepresentation. Very often the confusion involves the creative aspect of language use, an aspect of linguistic performance, which tends to be confounded with the notion recursivity, a property of the grammatical competence system. The present article clears away the most deep-seated confusions and proves that criticism of generative grammar based upon them cannot be upheld. In particular, it shows that the existence of metaphors, (...) and deviations from rules more generally, reinforces rather than refutes Chomsky's theory so long as the crucial distinction between knowledge of language (competence) and language use (performance) is taken heed of. It is argued that theories which deny this distinction and view human language as a set of dispositions or as an ability are misguided. The final section illustrates some properties of Universal Grammar (UG) by means of data from the domain of negative polarity and subject-object asymmetries. Though these phenomena are far from being fully understood, the present level of our insight warrants the conclusion that they lend considerable support to the Chomskyan conception of UG as a highly complex and richly articulated linguistic genotype. (shrink)