Peirces' categories are predicates of predicates, the categories containing both extension(quanta) and intension (qualia). This might be an impediment to a a materialistic view. I don't know. In my poor understanding, Peirce limited the categories to three to enable reduction to take place.
My uneducated understanding of that is predicates of predicates would be something like "John (subject) is a tall (qualia) man (quanta)" Those more familiar with Chomsky's context-free grammar might inquire into Chomsky's use of Peirce's categories, my uninformed feeling being that Chomsky did not. As to Peirce, http://en.wikipedia.org/wiki/Categories_%28Peirce%29 "The first thing to extract from this passage is the fact that Peirce's Categories, or "Predicaments", are predicates of predicates. Meaningful predicates have both extension and intension, so predicates of predicates get their meanings from at least two sources of information, namely, the classes of relations and the qualities of qualities to which they refer. Considerations like these tend to generate hierarchies of subject matters, extending through what is traditionally called the logic of second intentions, or what is handled very roughly by second order logic in contemporary parlance, and continuing onward through higher intensions, or higher order logic and type theory." Roger Clough, rclo...@verizon.net 9/19/2012 "Forever is a long time, especially near the end." -Woody Allen -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to email@example.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.