van den Berg, M. H. (1993). Full dynamic plural logic. In Bimbo, K. and Mate, A., editors, Proceedings of the Fourth Symposium on Logic and Language, Budapest.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....abbreviatory conventions for DRSs presented here that would instead interpret the same DRS formulas in models derived from these alternative theories of modality. The second reaction is to look for representations of plurality that have more in common with the new proposal. Van den Berg s work [van den Berg, 1993, van den Berg, 1996] can be regarded as providing just such a theory. To represent dependencies among plural individuals, van den Berg models environments using sets of assignment functions. Collective predication is accomplished by accessing all values assigned to discourse referents in the ....

van den Berg, M. H. (1993). Full dynamic plural logic. In Bimbo, K. and Mate, A., editors, Proceedings of the Fourth Symposium on Logic and Language, Budapest.

....1 Which means that it is really a second order logic. 2 Here OE[x=y] is the formula you get by replacing all occurrences of x in OE by y. 3 Needed for the cumulative in the absense of a correct treatment of dependent variables. If interpretation is relative to sets of assignments (c.f. vd berg (1993)) x automatically partitions all variables dependent on x, making x;y superfluous. 4 Standard generalized quantifiers (static or dynamic) translate as distributive quantifiers. Cumulatives One Schaian reading is often not discussed: the cumulative. If it is mentioned at all, it is often ....

.... inside the maximalizers: 9x 0 M x 0 [man(x 0 ) 9x M x [enterbar(x) 3(x 0 ; x) Other phenomena in language that can be looked on from this perspective are none standard quantifier scopes (we already mentioned every man loves a woman) and a phenomena that I struggled with in (vd berg, 1993), contrastive stress: the RED roses are in the FRONT garden and the WHITE roses in the BACK garden. We can deal with this by assuming that only the stressed adjectives are part of the maximalization, and the non stressed nouns are not. The non stressed material can be considered to be presupposed, ....

M. H. v. d. Berg, 1993, Full Dynamic Plural Logic, in: K. Bimb'o and A. M'at'e, "Proceedings of the Fourth Symposium on Logic and Language", Budapest.

....(1992) More important, the syntactic form that these expressions have is that of a formula of predicate logic, meaning that any method that gives predicate logic formula a dynamic interpretation applies directly. I will apply my own particular interpretation, as defined in [ van den Berg (1992) van den Berg (1993)] which gives the right behaviour for a large number of distinct linguistic examples. I will assume that you know something of dynamic predicate logic, i.e. I assume the paper by [Groenendijk Stokhof (1991) Note that the term dynamic predicate logic denotes a whole class of different, related ....

....G x= 6= H x= 43) iff 8d 2 G(x) G x=d [ OE] H x=d = and G x= H x= otherwise. This says that G[ ffi x (OE) H is defined if G x=d [ OE] H x=d is defined for every element of the partitions of G; H along x = d and the parts in G and H that do not assign values to x are the same (cf. [van den Berg (1993)] for an argument why the latter is the only reasonable choice) If it is defined, it is true when it is true for all elements of the partition and false if it is false for some of these. Quantifiers inside OE will be evaluated in substates assigning only one value to x. It is that state that they ....

Berg, M. H. v. d.: 1993, `Full Dynamic Plural Logic', in: Bimb'o K. and M'at'e A. (eds.): 1993, Proceedings of the Fourth Symposium on Logic and Language, Budapest.

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