Since the theory developed by Georg Cantor, mathematicians have taken a sharp interest in the sizes of infinite sets. We know that the set of integers is infinitely countable and that its cardinality is א0. Cantor proved in 1891 with the diagonal argument that the set of real numbers is uncountable and that there cannot be any bijection between integers and real numbers. Cantor states in partic...

Color matrix elements of the ghost triangle diagram that appears in the triple gluon vertex and the ghost-ghost-gluon triangle diagram that appears in the ghost-gluon-ghost vertex are calculated. The ghost-ghost-gluon triangle contains a loop consisting of two color diagonal ghost and one gluon and a loop consisting of two color antisymmetric ghost and one gluon. Consequently the pQCD argument ...

Diagrammatic models of argument have grown in prominence in recent years. While they have been applied in a number of tutoring contexts, it has not yet been shown that student-produced diagrams can be used to effectively grade students or predict their future performance. We show that manually-assigned diagram grades and automatic structural features of argument diagrams can be used to predict ...

Collaborative Computer-Supported Argument Visualization (CCSAV) has often been proposed as an alternative over more conventional, mainstream platforms for online discussion (e.g., online forums and wikis). CCSAV tools require users to contribute to the creation of a joint artifact (argument map) instead of contributing to a conversation. In this paper we assess empirically the effects of this f...

Argument visualisation (AV) tools enable structured debates around issues, positions and arguments. These tools have the potential to substantially improve transparency e.g. by enabling understanding complex legislation and debating. In this paper we present the results of the evaluation of an AV platform by experts and policy makers. The results suggest the potential of such tools is large par...

alzheimer’s disease (ad) is a uniquely human disorder. although the pathogenesis of ad is not fully understood, growing evidence indicates that the deposition of beta-amyloid (aβ) and the local reactions of various cell types to this protein play major roles in the development of the disease. in the present study transgenic mice expressing mutant amyloid precursor protein (app) has been used. t...

This research advocates the idea of combining argumentation theory with the social web technology, aiming to enact large scale or mass argumentation. The proposed framework allows mass-collaborative editing of structured arguments in the style of semantic wikipedia. The long term goal is to apply the abstract machinery of argumentation theory to more practical applications based on human genera...

Argumentation is central to law. Written and oral argument structures, however, are often difficult to analyze and employ in instruction. Diagrammatic models of argument offer a potential solution to these problems. In this paper we report on the results of an empirical study into the diagnostic utility of argument diagrams in a legal writing context. The focus is on comparing experts’ and stud...

The Luck Argument is among the most influential objections to the main brand of libertarianism about metaphysical freedom and moral responsibility. In his work, Alfred Mele [2006. Free will and luck. Oxford: Oxford University Press] develops – and then attempts to defeat – the literature’s most promising version of the Luck Argument. After explaining Mele’s version of the Luck Argument, I prese...

The issue of adjuncts has long been a neglected field of linguistic study whether it be syntactic or semantic. It is only in Pustejovsky (1995) that we find a brief mention of adjuncts. In addition to what the author calls true arguments, default arguments, and shadow arguments, he sets up a class of true adjuncts citing the following sentence , Mary drove down to New York on Tuesday. We will t...