On the Standard and Rational Completeness of some Axiomatic Extensions of the Monoidal T-norm Logic

The monoidal t-norm based logic MTL is obtained from Hájek's Basic Fuzzy logic BL by dropping the divisibility condition for the strong (or monoidal) conjunction. Recently, Jenei and Montgana have shown MTL to be standard complete, i.e. complete with respect to the class of residuated lattices in the real unit interval [0,1] defined by left-continuous t-norms and their residua. Its corresponding algebraic semantics is given by pre-linear residuated lattices. In this paper we address the issue of standard and rational completeness (rational completeness meaning completeness with respect to a class of algebras in the rational unit interval [0,1]) of some important axiomatic extensions of MTL corresponding to well-known parallel extensions of BL. Moreover, we investigate varieties of MTL algebras whose linearly ordered countable algebras embed into algebras whose lattice reduct is the real and/or the rational interval [0,1]. These embedding properties are used to investigate finite strong standard and/or rational completeness of the corresponding logics.     

Structural Universals And Formal Relations

I will consider Armstrong's problems in trying to account for structural universals,i.e., a kind of complex universal whose instantiation by particulars involves differentparts of those particulars instantiating several basic properties and relations, such asthe property of being a molecule of methane. I present and criticise Armstrong's mostrecent attempt to explain structural properties by means of the identification of universals with types of states of affairs and I state my own solution to the problem by appealing to formal relations holding between particulars.     

Subjective Situations and Logical Omniscience

The beliefs of the agents in a multi-agent system have been formally modelled in the last decades using doxastic logics. The possible worlds model and its associated Kripke semantics provide an intuitive semantics for these logics, but they commit us to model agents that are logically omniscient. We propose a way of avoiding this problem, using a new kind of entities called subjective situations. We define a new doxastic logic based on these entities and we show how the belief operators have some desirable properties, while avoiding logical omniscience. A comparison with two well-known proposals (Levesque's logic of explicit and implicit beliefs and Thijsse's hybrid sieve systems) is also provided.     

Respective contributions of inhibition and knowledge levels in class inclusion development: a negative priming study

Dempster ( Dempster, 1995 ; Dempster & Corkill, 1999 ) proposed that developmental changes in performance on Piagetian tasks could be related to changes in inhibitory efficiency more than to logical development. In this study, the negative priming paradigm was adapted to the class inclusion task in order to investigate the role of inhibition and knowledge levels in the development of class inclusion. Participants were pre‐tested on two inclusion tasks, the standard Piagetian task and Markman's modification task, and assigned to different knowledge levels: empirical, and logical necessity. Children were then tested on a priming version of the class inclusion task. Results showed a negative priming effect, indicating that the irrelevant ‘subclass comparison strategy’ was actively inhibited during the processing of the class inclusion task. This effect was found to vary as a function of knowledge levels, indicating that the need for inhibition was reduced when children had attained logical necessity.     

Test–Retest Reliability of Ratings of Job Performance Dimensions in Managers

This article examines the test–retest reliability of supervisory ratings for several dimensions of job performance and for overall job performance. We found that the test–retest reliability of overall job performance is .79 (SD = .08), a value very close to the one found by Viswesvaran, Ones and Schmidt (1996), and that the average test–retest reliability for specific dimensions of job performance is .57 (SD = .07). We also found that some dimensions of job performance appear to be easier to rate than others. We suggest some implications of these findings for research and practice of personnel selection.     

Do goal cue and motor activity impact preschoolers’ working memory?

Preschoolers are well known for their poor working memory (WM) performance. This could result from goal neglect, which would hamper the setting of maintenance strategies. Previous studies have shown that preschoolers’ WM performance can be improved in game-like tasks, because they provide cues to support goal maintenance. However, in these studies, it was unclear what features of the task (either the main toy or the motor activity required by the game) provide efficient cues. The aim of the present study was to disentangle the two features to examine cue effects in 5- to 7-year-old children. No improvement of WM performance was observed when the toy was a potential goal cue, whereas the motor activity had a detrimental effect in all age groups. The latter effect could result from a distraction of attention from attention-based maintenance activities. Hence, preschoolers' poor WM performance would not be fundamentally due to goal neglect.