The Universal Group of a Heyting Effect Algebra

A Heyting effect algebra (HEA) is a lattice-ordered effect algebra that is at the same time a Heyting algebra and for which the Heyting center coincides with the effect-algebra center. Every HEA is both an MV-algebra and a Stone-Heyting algebra and is realized as the unit interval in its own universal group. We show that a necessary and sufficient condition that an effect algebra is an HEA is that its universal group has the central comparability and central Rickart properties. Presented by Daniele Mundici     

MV-Algebras and Quantum Computation

We introduce a generalization of MV algebras motivated by the investigations into the structure of quantum logical gates. After laying down the foundations of the structure theory for such quasi-MV algebras, we show that every quasi-MV algebra is embeddable into the direct product of an MV algebra and a “flat” quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers. Presented by Heinrich Wansing     

Mereological nihilism: quantum atomism and the impossibility of material constitution

Mereological nihilism is the philosophical position that there are no items that have parts. If there are no items with parts then the only items that exist are partless fundamental particles, such as the true atoms (also called philosophical atoms) theorized to exist by some ancient philosophers, some contemporary physicists, and some contemporary philosophers. With several novel arguments I show that mereological nihilism is the correct theory of reality. I will also discuss strong similarities that mereological nihilism has with empirical results in quantum physics. And I will discuss how mereological nihilism vindicates a few other theories, such as a very specific theory of philosophical atomism, which I will call quantum abstract atomism. I will show that mereological nihilism also is an interpretation of quantum mechanics that avoids the problems of other interpretations, such as the widely known, metaphysically generated, quantum paradoxes of quantum physics, which ironically are typically accepted as facts about reality. I will also show why it is very surprising that mereological nihilism is not a widely held theory, and not the premier theory in philosophy.     

Antecedents of mentoring support: a meta-analysis of individual,relational, and structural or organizational factors

The value of mentoring is growing substantially as organizations take a renewed interest in employee development to better survive in the dynamic and competitive market today. In the wake of this renewed interest, this meta-analysis was conducted to quantitatively review the multi-level antecedents (e.g., individual, relational, and structural/organizational) of different kinds of mentoring support (e.g., career, psychosocial, role modeling) in organizational settings and to revisit the theoretical underpinnings of each antecedent. Results indicated some key antecedents of mentoring support at individual (e.g., protégé's proactivity, protégé's learning goal orientation, mentor's transformational leadership), relational (e.g., affect based trust, perceived similarity), and structural/organizational levels (e.g., organizational support for mentoring, supervisory mentoring). Recommendations for future research and organizational practice of mentoring are presented.     

Beyond common features: the role of roles in determining similarity

Historically, accounts of object representation and perceived similarity have focused on intrinsic features. Although more recent accounts have explored how objects, scenes, and situations containing common relational structures come to be perceived as similar, less is known about how the perceived similarity of parts or objects embedded within these relational systems is affected. The current studies test the hypothesis that objects situated in common relational systems come to be perceived as more similar. Similarity increases most for objects playing the same role within a relation (e.g., predator), but also increases for objects playing different roles within the same relation (e.g., the predator or prey role in the hunts relation) regardless of whether the objects participate in the same instance of the relation. This pattern of results can be captured by extending existing models that extract meaning from text corpora so that they are sensitive to the verb-specific thematic roles that objects fill. Alternative explanations based on analogical and inferential processes are also considered, as well as the implications of the current findings to research in language processing, decision making, and category learning.     

A confusion of tongues between psychoanalysis and philosophy: Is the controversy over drive versus relational theory a philosophical one?

In recent years the controversy over Drive versus Relational models of the psyche has become entangled in a philosophical controversy over epistemology. Some have argued that the Drive model was a relic of an age of positivistic science, while Relational models are a product of a postmodern condition. This paper argues that the controversy need not be a philosophical one, and that Relational views are not, in fact, a product of postmodernism, nor are they necessarily dependent on a postmodern epistemology. Separating the epistemological from the psychological more carefully may help return the debate to its proper, psychoanalytic domain, and perhaps contribute to a more fruitful dialogue across what, at times, seems like an abyss between Relational views and Drive theory.     

Congruence Coherent Symmetric Extended de Morgan Algebras

An algebra A is said to be congruence coherent if every subalgebra of A that contains a class of some congruence on A is a union of -classes. This property has been investigated in several varieties of lattice-based algebras. These include, for example, de Morgan algebras, p-algebras, double p-algebras, and double MS-algebras. Here we determine precisely when the property holds in the class of symmetric extended de Morgan algebras. Presented by M.E. Adams     

Priestley duality for some subalgebra lattices

Priestley duality can be used to study subalgebras of Heyting algebras and related structures. The dual concept is that of congruence on the dual space and the congruence lattice of a Heyting space is dually isomorphic to the subalgebra lattice of the dual algebra. In this paper we continue our investigation of the congruence lattice of a Heyting space that was undertaken in [10], [8] and [12]. Our main result is a characterization of the modularity of this lattice (Theorem 2.12). Partial results about its complementedness are also given, and among other things a characterization of those finite Heyting algebras with a complemented subalgebra lattice (Theorem 3.5).