Syllogisms with reduplication in Aristotle.

Dynamic Reasoning with Qualified Syllogisms

A gualij%e~ syllogism is a classical Aristoteiean syllogism that has been “qualified” through the use of fuzzy quantifiers, likelihood modifiers, and usuality modifiers, e.g., “Most birds can Ry; Tweety is a bird; therefore, it is likely that Tweety can fly.” This paper introduces a formal logic Q of such syllogisms and shows how this may be employed in a system of nonmonotonj~ reasoning. In pr...

Parry Syllogisms

Parry discusses an extension of Aristotle’s syllogistic that uses four nontraditional quantifiers. We show that his conjectured decision procedure for validity for the extended syllogistic is correct even if syllogisms have more than two premises. And we axiomatize this extension of the syllogistic. 1 Background and motivation Parry [2] discusses an extension of the syllogistic in which sentenc...

Distributed Reduplication

Reduplication with fixed tone pattern in Kammu

In this paper we show that speakers of both tonal and non-tonal dialects of Kammu use a fixed tone pattern high–low for intensifying reduplication of adjectives, and also that speakers of the tonal dialect retain the lexical tones (high or low) while applying this fixed tone pattern.

Wholly Hypothetical Syllogisms

In antiquity we encounter a distinction of two types of hypothetical syllogisms. One type are the 'mixed hypothetical syllogisms'. The other type is the one to which the present paper is devoted. These arguments went by the name of 'wholly hypothetical syllogisms'. They were thought to make up a self-contained system of valid arguments. Their paradigm case consists of two conditionals as premis...