Showing papers on "Antisymmetry published in 2009"

Antisymmetry and the lexicon

Abstract: Introduction. In this paper, I will try to show that what we think of as the noun-verb distinction can be understood as a consequence of antisymmetry, in the sense of Kayne (1994). (I will also make some remarks (in the first two sections) concerning counterparts of the human language faculty in other species.1) Properties of nouns will, from this perspective, lead me to suggest that sentential complements (and derived nominals) involve relative clause structures.

The stationary Navier–Stokes equation on the whole plane with external force with antisymmetry

Abstract: This paper is concerned with the stationary Navier–Stokes equation in the two-dimensional whole plane with external force given by a potential with some symmetry, and gives a condition on the potential sufficient for the existence of a solution of the problem above. This paper also proves the uniqueness of the solution small in appropriate function spaces.

Compounds Don't Come Easy

Abstract: In this article we present an original analysis of NN compounds in Germanic and Romance, proposing that their morpho-syntactic and interpretive properties can be explained in compliance with narrow syntax conditions on Merge and Projection, crucially related to Kayne’s Antisymmetry model. In particular, we contend that root compounding represents a specific mode of syntactic computation (‘Compound Phase’), whereby two structurally identical syntactic objects – the compound members – get merged in a parallel fashion, hence yielding a symmetric configuration that prevents label projection. Compound Phase computation can thus be seen as a ‘repair strategy’ allowing the derivation to get a label and converge at the interfaces. On these theoretical grounds, the formal and interpretive contrasts between Germanic and Romance, and, within each language, the differences between compounds and prototypical syntactic constructions are essentially derived from the syntax of Compound Phases, given the independent properties of the lexical items involved in the computation.

Hitz hurrenkera eta birregituraketa euskaraz

Abstract: The analysis focuses on those varieties of Basque that admit the participial dependent to occur either before or after the modal verb. It is shown that in these varieties, the syntactic position of the participial dependent correlates with differences in its internal structure: whereas participial dependents can correspond to TPs when they are located to the right of the modal verb in Basque (a typically SOV language), they cannot correspond to anything more complex than a small v structure when they surface to the left of the modal verb. Our analysis of the internal structure of participial dependents also extends to issues concerning the basic word order of Basque. It is claimed that the analysis presented here requires the auxiliary to be generated to the left of the verb phrase, as the antisymmetry hypothesis would posit.

Five notes on Correlatives

Abstract: In Cinque (in preparation) (see Cinque 2008 for a preliminary presentation) it is proposed that the different types of relative constructions found across languages (externally headed post-nominal, externally headed pre-nominal, internally headed, ‘headless’ (or ‘free’), correlative, and ‘adjoined’ or extraposed) derive from one and the same structure, whether they involve a raising or a matching derivation. This unique structure, in compliance with Antisymmetry (Kayne 1994), has the relative clause merged pre-nominally, in a specifier of the extended projection of the NP; more precisely between the position of numerals (and other weak determiners, in the sense of Milsark 1974), and that of demonstratives (and other strong determiners, like the definite article and universal quantifiers).

Separability of N-particle Fermionic States for Arbitrary Partitions

Abstract: We present a criterion of separability for arbitrary s partitions of N-particle fermionic pure states. We show that, despite the superficial non-factorizability due to the antisymmetry required by the indistinguishability of the particles, the states which meet our criterion have factorizable correlations for a class of observables which are specified consistently with the states. The separable states and the associated class of observables share an orthogonal structure, whose non-uniqueness is found to be intrinsic to the multi-partite separability and leads to the non-transitivity in the factorizability in general. Our result generalizes the previous result obtained by Ghirardi et. al. [J. Stat. Phys. 108 (2002) 49] for the s = 2 and s = N case.