An Elementary Presentation of the Equivalence Between MV-algebras and l-groups With Strong Unit

Aim of this paper is to provide a self-contained presentation of the natural equivalence between MV-algebras and lattice-ordered abelian groups with strong unit.     

Averaging the truth-value in Łukasiewicz logic

Chang's MV algebras are the algebras of the infinite-valued sentential calculus of ukasiewicz. We introduce finitely additive measures (called states) on MV algebras with the intent of capturing the notion of average degree of truth of a proposition. Since Boolean algebras coincide with idempotent MV algebras, states yield a generalization of finitely additive measures. Since MV algebras stand to Boolean algebras as AFC*-algebras stand to commutative AFC*-algebras, states are naturally related to noncommutativeC*-algebraic measures.     

The Impact of Phantom Decoys on Choices and Perceptions

Phantoms are dominating, attractive alternatives that are unavailable at the time of choice. They occupy different positions in the attribute space, and their unavailability can be either known or unknown to individuals. Although different theories have offered explanations for the influence that phantoms exert on individual choices, they have largely overlooked phantom knowledge. Contradictory predictions can be drawn from these theories, and none provides a good account of the pattern of effects that emerges from our data. We suggest that these contradictions appear because the different theories do not address phantom location and knowledge jointly. When considering phantom knowledge together with location, we observe a consistent overall pattern of effects that encompasses all predictions that could be made on the basis of each theory. We find that known phantoms are stronger when close, and favor the target product, whereas unknown phantoms are stronger when far, and favor the competitor. Finally, we look beyond shifts in choice shares and find that phantom decoys can also affect individuals' post‐choice evaluations and reactions in terms of perceived justice, decision satisfaction, and repatronage intention. Our results show that post‐choice evaluations are driven by phantom knowledge, not phantom location. Copyright © 2012 John Wiley & Sons, Ltd.     

New Perspectives on Analytic Pragmatism

Analytic pragmatism is a framework of analysis elaborated by Robert Brandom, whose goal is to explain the relations between meaning and use according to a systematic and general method of inquiry. In April 2009, a workshop was organized to discuss the recent developments of this new theoretical approach. Brandom delivered three lectures, where he explored some aspects of analytic pragmatism and addressed the motivating themes of this enterprise, while the contribution from the other speakers ranged over specific aspects of the theory. This special issue is the outcome of that workshop. In this introduction we briefly outline the context of the debate and present the contribution to this issue selected from a much wider range of papers, using the reviewing process of Philosophia.     

Alessandro Piccolomini and the certitude of mathematics

This paper offers a reconstruction of Alessandro Piccolomini's philosophy of mathematics, and reconstructs the role of Themistius and Averroes in the Renaissance debate on Aristotle's theory of proof. It also describes the interpretative context within which Piccolomini was working in order to show that he was not an isolated figure, but rather that he was fully involved in the debate on mathematics and physics of Italian Aristotelians of his time. The ideas of Lodovico Boccadiferro and Sperone Speroni will be analysed. This paper demonstrates that Piccolomini's attack on the certitude of mathematics was a product of discussions between Aristotelians.     

Bridging music and speech rhythm: Rhythmic priming and audio–motor training affect speech perception

Following findings that musical rhythmic priming enhances subsequent speech perception, we investigated whether rhythmic priming for spoken sentences can enhance phonological processing – the building blocks of speech – and whether audio–motor training enhances this effect. Participants heard a metrical prime followed by a sentence (with a matching/mismatching prosodic structure), for which they performed a phoneme detection task. Behavioural (RT) data was collected from two groups: one who received audio–motor training, and one who did not. We hypothesised that 1) phonological processing would be enhanced in matching conditions, and 2) audio–motor training with the musical rhythms would enhance this effect. Indeed, providing a matching rhythmic prime context resulted in faster phoneme detection, thus revealing a cross-domain effect of musical rhythm on phonological processing. In addition, our results indicate that rhythmic audio–motor training enhances this priming effect. These results have important implications for rhythm-based speech therapies, and suggest that metrical rhythm in music and speech may rely on shared temporal processing brain resources.     

“Metaphysische Ergebnisse”: Phenomenology and Metaphysics in Edmund Husserl’s <Emphasis Type="Italic">Cartesianische Meditationen</Emphasis> (§60). Attempt at Commentary

The main goal of the present paper is to offer a preliminary study of the relations between phenomenology and metaphysics in Husserl. After a brief presentation of what Husserl means by the term “metaphysics”, the rest of our research will consist of a detailed commentary on §60 of the Cartesian Meditations (Metaphysische Ergebnisse unserer Auslegung der Fremderfahrung). Our aim is to explain in what sense, according to Husserl, the “outcomes” of the phenomenological constitution of monadological intersubjectivity entail the solution to a traditional metaphysical problem, i.e., that of the existence of just one real world. The present investigation does not pretend to be more than an introduction. Besides shedding some light on a specific text, it will pave the way for a future inquiry into the relations between phenomenology and metaphysics in Husserl.     

Divided attention enhances the recognition of emotional stimuli: evidence from the attentional boost effect

The present study examined predictions of the early-phase-elevated-attention hypothesis of the attentional boost effect (ABE), which suggests that transient increases in attention at encoding, as instantiated in the ABE paradigm, should enhance the recognition of neutral and positive items (whose encoding is mostly based on controlled processes), while having small or null effects on the recognition of negative items (whose encoding is primarily based on automatic processes). Participants were presented a sequence of negative, neutral and positive stimuli (pictures in Experiment 1, words in Experiment 2) associated to target (red) squares, distractor (green) squares or no squares (baseline condition). They were told to attend to the pictures/words and simultaneously press the spacebar of the computer when a red square appeared. In a later recognition task, stimuli associated to target squares were recognised better than stimuli associated to distractor squares, replicating the standard ABE. More importantly, we also found that: (a) the memory enhancement following target detection occurred with all types of stimuli (neutral, negative and positive) and (b) the advantage of negative stimuli over neutral stimuli was intact in the DA condition. These findings suggest that the encoding of negative stimuli depends on both controlled (attention-dependent) and automatic (attention-independent) processes.     

Self-presentation: Social skills and inconsistency as independent facets of self-monitoring

Using a German adaption of Snyder's (1974) Self-Monitoring scale, we show that the scale has two independent facets, which encompass different aspects that are central to the original theoretical concept. Replicated factor analyses of the SM item pool suggest two uncorrelated subscales of equal length. Compared to the total scale, these two subscales are not only more economical and more reliable, but also provide more conceptual clarity, as demonstrated in three validity studies. In particular, the Social Skills subscale taps various self-perceived social and acting skills and is related to uninhibited and spontaneous self-expressions in interpersonal situations. The Inconsistency subscale measures discrepancies between the overt expression of one's feelings, attitudes, and beliefs and the way the person actually experiences them. This scale relates to social anxiety, sensitivity to situational cues, and self-reported situational inconsistency. The two subscales are similar to factors recently identified for the original American scale. Based on this cross-cultural convergence the validity of the current Self-Monitoring research is discussed.