This paper summarizes results of simulation analyses aimed at elucidating the way in which two important dimensions of female rank orders-nepotism and age-gradedness-are affected by variation in individual strategies of rank acquisition on the one hand and by variation in population-wide demographic parameters (eg, birth rate, death rate, etc) on the other. Female rank orders in simulated prima...

We show how psycholinguistic methods can be used to investigate degrees of grammaticality and report experimental results for gradedness in extraction from complex NPs. We argue for the theoretical relevance of psycholinguistic evidence and sketch a model for gradedness based on ranked constraints. Our approach builds on results from optimality theory and can be computationally implemented usin...

Human inferior temporal cortex contains category-selective visual regions, including the fusiform face area (FFA) and the parahippocampal place area (PPA). These regions are defined by their greater category-average activation to the preferred category (faces and places, respectively) relative to nonpreferred categories. The approach of investigating category-average activation has left unclear...

In this paper we define a framework to introduce gradedness in Deontic logics through the use of fuzzy modalities. By way of example, we instantiate the framework to Standard Deontic logic (SDL) formulas. Given a deontic formula Φ ∈ SDL, our language contains formulas of the form r → NΦ or r → PΦ, where r ∈ [0, 1], expressing that the preference or probability degree respectively of a norm Φ is...

We characterize supersolvable lattices in terms of a certain modular type relation. McNamara and Thomas earlier characterized this class as those graded having maximal chain that consists left-modular elements. Our characterization replaces the condition gradedness with second modularity on

Abstract A rook placement is a subset of root system consisting positive roots with pairwise non-positive inner products. To each in one can assign the coadjoint orbit Borel subgroup reductive algebraic group this system. Degenerations such orbits induce natural partial order on set placements. We study combinatorial structure placements n− 1 respect to slightly different and prove that poset g...