Some new algebras, which are possible denotations for various determiners, are studied. One of them is the algebra of generalised cardinal quantifiers which is a sub-algebra of conservative quantifiers and which contains cardinal, co-cardinal and proportional quantifiers. In addition some non-conservative quantifiers are studied (symmetric, contrapositional and fixed points with respect to the ...

The article proposes an analysis of imperatives and possibility and necessity statements that (i) explains their differences with respect to the licensing of free choice any and (ii) accounts for the related phenomena of free choice disjunction in imperatives, permissions, and other possibility statements. Any and or are analyzed as operators introducing sets of alternative propositions. Free c...

Abstract Sentences containing the scalar term “some”, such as “The pig carried some of his rocks”, are usually interpreted conveying inference that did not carry all rocks. Previous research has reported when interpreting sentences, children tend to derive fewer these inferences than adults ( Noveck (2001); Papafragou & Musolino (2003); Guasti et al. (2005), among others). One approach expl...

In this survey, we report our recent work concerning combination results for interpolation and uniform in the context of quantifier-free fragments first-order theories. We stress model-theoretic algebraic aspects connecting topic with amalgamation, strong model-completeness. give sufficient (and, relevant situations, also necessary) conditions transfer property to combined theories; investigate...

Will reading habit influence your life? Many say yes. Reading logic and games on automatic structures playing with quantifiers and decompositions is a good habit; you can develop this habit to be such interesting way. Yeah, reading habit will not only make you have any favourite activity. It will be one of guidance of your life. When reading has become a habit, you will not make it as disturbin...