Semantics of Slavic anaphoric possessive determiners

Slavic possessive determiner SVOJ (and its plural form), meaning roughly his/her own (glosed by HOWN) can in addition to its bare form also be used in composition with other ordinary determiners. Such compositions form complex anaphoric possessive determiners (ADets), that is expressions which take CNs as arguments and form NPs denoting nominal anaphors. Thus one can have in various Slavic languages compositions with SVOJ, corresponding to EVERY HOWN, NO HOWN, FIVE HOWN, etc. In this talk, using data from Polish, semantics of complex Adets, and to a lesser degree of bare Adets, will be given. Conservativity and some problems of expressive power of such constructions will also be discussed. Data: the Polish third person possessive swój (and swoja and swoje) can combine with virtually any determiner to form a complex determiner which, when applied to a common noun, gives a nominal anaphora. Thus one has wiekszość swoich.../MOST HOWN, 10 swoich.../10 HOWN, żaden ze swoich.../NO HOWN, conajmniej 5 swoich.../AT LEAST 5 HOWN, wszystkie swoje... oprócz Kazia/ALL HOWN, EXCEPT K., as in On lubi wszystkie swoje dzieci, oprócz Kazia (He likes all his (own) children, except Kazio), niektóre swoje..., wlacznie z Kaziem/SOME HOWN, INCLUDING K., etc. Adets have Boolean structure, and consequently can form their Boolean compounds. In particular bare Adet swój (and the corresponding feminine, neuter and plural forms) has the negative form nieswój/NOT-HOWN. Such negative forms are much better with the plural swoje to form nieswoje. The negative forms in their turn can combine with ”ordinary” determiners to give complex Adets. Both bare, negative and positive, forms can occur in such complex Adets. Thus we have Niektóre nieswoje.../SOME NOT HOWN, 5 swoich i 6 nieswoich.../5 HOWN and 6 NOT-HOWN as in Ona lubi 5 swoich i 6 nieswoich kotów (She likes 5 (of) her (own) and 6 (of) not her (own) cats), wszystkie swoje albo wiekszość swoich.../ALL HOWN or MOST HOWN, etc. Adets can also Booleanly combine with ”ordinary” possessive (non-anaphoric) determiners to form complex Adets; one has swoje i Kazia.../HOWN and K.’s, 5 swoich i 6 Kazia.../5 HOWN and 6 K.’s, etc. Bare determiner swój can also combine with binary (or even n-ary) determiners to give binary (or n-ary) Adets. For instance, swój combined with the binary determiner wiecej...niż (more...then) gives the binary Adet wiecej swoich... niż swoich.../MORE HOWN THAN HOWN. Similarly with reducible (by conjunction) n-ary determiners (such as for instance English All A,B, and..C read as All A and All B and... and All C ). In Polish such determiners can combine with swój to give (reducible) n-ary Adets. Complex Adets share many properties with bare Adets: they cannot occur in NPs on subject position (consequently they are not used in the nominative case), they do not give rise to the sloppy-identity ambiguity, etc. Semantics: Let D be a type 〈1, 1〉 quantifier, the denotation of some unary determiner Det. DS is the denotation of the anaphoric determiner Det swój