Page 71 - Studio International - December 1973
P. 71

ART THEORY& PRACTICE
            epistemic world be ? That is, how can we have a   opens up immense depth problems of the   Quantification will be limited to one nodal point
            generalized logic approaching the Reich des   formal language in a similar fashion to the depth   of that grammar/sorted out context/set
            Sollens ? Dealing with approximate equivalents   structure problems of natural languages. The   conditions for each basic type taken as a point
            through sets, through indexing, materializing,   pragmatics of natural languages and the formal   of reference, an entity quantified into an opaque
            etc., inasmuch as these are then directly related   pragmatic languages are very close as far as the   context. That degree of rigorousness would be
            to one's notion of context (in fact is constructed   number of parameters that are constructed to   absurd, rather the synthetic a priori
            out of the above notions), then how can an   make up an individual (in a sense, cross refer) as   characteristics of projection rules. Non-
            epistemic world produce contexts which    a member or non-member of a set (usually an   arbitrary conditions allow for an approximation
            presumably are supposed to map ideology ?   ordered pair) is produced for a pragmatic   to a fairly deep, hermeneutic grammar for the
            They can do so only in so far as separate   interpretation of a semantic reading of a set (or   generation of phrase structure, etc., etc., a la
            mappings are made between the epistemic   whatever), such as language-user to language,   Chomsky/Katz (or a list of pre-requisites
            closure conditions, defensibility. A lot of the   etc. (Richard Montague is certainly better and   approximating an intensional logic).
            stuff on the KK business was related in a   certainly points a way towards bringing the   An address to the social problem is, 'what are
            terribly weak historical way to a Socratic   Indexes of Documenta and the Hayward show   the ideological relations and what are the
            tradition of introspection, which is fine as long   in a closer relation to the seemingly discrete   teleological relations, and what degree of
            as one recognizes that in the search for how KK   Katz/Apostel/Chomsky lexicon.)    symmetry does one have between those two
            may be interpreted, KKI (say) is predicated   Contexts of use of all complexes of relevant   relations ?' or, 'what are the possibilities of
            only of Socrates. Another foundational problem   aspects of possible contexts of use, we may call   symmetry, agreement, acceptance, obligation,
            is that the relative deontic logic providing the   such complexes indices, or, to borrow Scott's   permission ?'
            conditions of KKI is relative to the quasi-  term, points of reference. This is where the   Concepts are directly related to the notion of
            member of a set. So, revision may not be the   connection is between grammar (the lexicon)   the individual members of a set such that
            best word. 'Discovery', perhaps ? This is a form   and logic (-al space of indexing), i.e. between (a)   pep, and so whatever machinery a proposition
            of study.                                 the selection restrictions of a depth grammar   may require, there are so many nested situations
              We say something like 'we are trying to   dictionary, and (b) the propositional attitudes of   and so many series of nestings that the point is
            discover/evaluate what we are doing when we   the indexes. With (a) the restrictions appear   perhaps not only knowing when or how to start,
            enter into dialogue with other (quasi) members   (are in fact) conditions for sets inasmuch as   but also how to stop. (N. B. the set may be of an
            of Art & Language, if that discourse of Art &   indexical entries will each have semantic   epistemic logic, deontic logic, or any other logic
            Language does manage to suppose some sort   features running down the page as a branching   operating over the ordered members.) And so
            of dialogue'. This is not excuses. Quite the   or non-branching pathway. We could say that   we are even questioning our own
            contrary. We don't have defensibility, i.e.   where semantic features of two indexical   instrumentalities. That's a reflection on one's
            membership of a group, in the situation of a   entries match they are embedded into one set as   teleology/deontology, and the deontic bit comes,
            dialogue/discourse where intensional or   a part of that synthetic a priori grammar (logic).   perhaps, as a question/realization of the
            intensive sets come up as a mapping procedure   The usage of sets is borrowed from the general   rationality problem, or the Carnap and Bayes
            or as a research programme. It's presumably as   literature of (b) above, but this is going on a bit   situation where one looks at one's
            simplistic as that eventually. It's a logical   about something that's only speculative.   instrumentalities, one's arbitrariness, etc., as a
            problem before and after the methodological   However, the reduction of atomic types from   shared and common epistemic position.
            problems of Art & Language (and anyone else),   the propositions (cf. Hintikka's) related to an
            i.e. the socio-cultural, linguistic, grammatical,   individual (etc., etc.) to the simpler morphemes   IV
            etc. problems are rooted in the problems of a   of Katz and Chomsky reflects the unhappy   We were really asking whether the decision,
            logic of dialogue/discourse (e.g. implicature   state of the studies of propositional attitudes   among other things, to deal with the lexemes
            (cf. Grice) rather than strict implication). All of   (cf. Indexes at the Hayward Gallery and   that we ended up dealing with was a structural
            this is in a way an attempt at an orthodoxy for   Documenta).                       decision and not a product of an arbitrary
            Art & Language discourse, texts (or anybody   The problem of inference is between what as   atomism. The suggestion about the annotated
            else's discourse, etc.), but also, perhaps, an   basic types ? Answering that may go far enough   (social problem) project was that it might be
            attempt to affirm that given the phenomena or   to make acceptable the speculation that given   dialectical proceeding, and then we had a
            the ostension (say) of what appears as language,   simple types as products of a complex of   question of the 'gross aspect', and we decided in
            and so as discourse, it really does contain some   functions/operators/dimensions, then inference   neither instance was there any reason to regard
            non-phenomenological characteristics.     is not going to take place, rather conjunctions   the proceeding/activity as in any way radically
              Let's make it clear that our uses of Montague   that approximate an inference. But this is   associated with the gross item of discourse, nor
            or Hintikka are probably highly defiant to their   supposing an extremely thorough grammar that   radically associated with the minutiae thereof.
            classic works (so that deals with contradiction in   would be a foundation, of not a high quality   There was a distinction between the textures of
            set theories and dubious decision procedures for   translation, but of the high quality translation.   the gross list and the atomistic list which was
            inclusion). Secondly, that we are involved in a   Again, that would mean the grammar (like the   (recursively) veering towards the quasi-
            situation that's highly and reflexively   logic) had projection rules for a generative   molecular item, i.e. the 'lexicon'.
            paradoxical, almost traditionally so, in trying to   grammar that always satisfied or didn't satisfy   We're still struggling with the anthropological
            find a simple theory of types (and tokens), i.e.   all the selection restrictions/distinguishers that   business of having nothing to do, whether one's
            there are so many logical problems associated   one had and would possibly have. As far as the   involved in a kind of discovery, i.e. seeing one's
            with groups, sets and their individuals not just   inference/implication issue is traditionally   discourse in a sense as a kind of nature, and
            as a formalism of a descriptive and evaluative   dependent upon identity (as tautology) then to   discovering certain nodes or other structurally
            instrumentality, but also a natural language   suspect an ambiguity over issues of ontology   ascertainable items as special objects of scrutiny
            adumbration of the topics, points of reference.   would be missing the mark (ambivalence to the   or something different from that. 'There are
            Actually this point has been cheerfully ( ?) made   subject of ontology, if any sense can be made of   certain kinds of discourse . .. which have a
            by those working in pragmatics and natural   it on its own). Quite simplistically, where we   semantical background which is different from
            languages (R. L. Martin, Montague, etc.) by   have an analogy between lexicons and logics, the   others' . .. worrying about a choice between an
            saying there's little difference between a formal   projection rules or set conditions for semantics   intensive and extensive mode of concentration.
            pragmatic language as a language and a formal   will only refer back to the original case in point/   We're in no position to distinguish a-
            pragmatic language of language. That really    sample of natural language a posteriori.    prioristically between intensive and extensive

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