By Tore Langholm
Regardless of many purposes, a few mathematically interesting questions linked to the idea that of semantical partiality have bought basically very restricted awareness. This quantity is a examine in spatial version thought, the speculation of partly outlined types.
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Heim (1982) proposes to equate the meaning of an expression with its context-change potential, especially its potential to serve as an antecedent for anaphoric expressions. She also proposes however that a dragon is not a quantiﬁer, but an open proposition (one with a free variable). Groenendijk and Stokhof adopt the ﬁrst, fundamental innovation, but explore the possibility to maintain that indeﬁnites denote quantiﬁers. 3 Scope and constituent structure 25 the following simpliﬁcation of the theory will suﬃce.
It is not possible for every boy to make the team’ (28) No player needs a partner. e. this game can be played alone’ Lechner’s analysis has the following LF ingredients: (a) the split of not every boy and no player into not . . every boy and not . . a player, (b) head movement of the explicit quantiﬁers can and need, binding ﬁrst-order world arguments, and (c) short reconstruction of every boy and a player that does not violate the known constraints. It is not easy to replicate scope interaction between the subject and an intensional raising verb when the subject is not an indeﬁnite.
8) is the classical example. The HI reading entails the existence of a unicorn; the LO reading does not:19 (8) A unicorn seems to be approaching. HI ‘There is a particular unicorn and it seems it is approaching’ LO ‘It seems that a unicorn is approaching’ (9) exempliﬁes a HI/LO ambiguity reminiscent of (8). The two readings are logically independent. The HI reading is true in the little model described in the “HI scenario” in (10) and false in the “LO scenario”; conversely for the LO reading. The presence of a pertinent temporal adjunct facilitates the LO reading.
Partiality, Truth and Persistence by Tore Langholm