We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol for S. Two sets are called topologically elementary equivalent if they have the same such first-order topological properties. The contribution of this paper is a natural and effective characterization of topological elementary equivalence of closed semi-algebraic sets.

In the 1970s Codd introduced the relational algebra, with operators selection, projection, union, difference and product, and showed that it is equivalent to first-order logic. In this paper, we show that if we replace in Codd’s relational algebra the product operator by the “semijoin” operator, then the resulting “semijoin algebra” is equivalent to the guarded fragment of first-order logic. We also define a fixed point extension of the semijoin algebra that corresponds to μGF.

This study assessed whether real-life stimulus material can elicit conscious and unconscious priming. A typical masked priming paradigm was used, with brand logo primes. We used a rigorous method to assess participants’ awareness of the subliminal information. Our results show that shortly presented and masked brand logos have the power to prime their brand names and, remarkably, words associated to the brand . However, this only occurred when the logos could be categorized clearly above the consciousness threshold. Once the primes (...) were presented close to the consciousness threshold, no subliminal influences on behavior were observed. (shrink)

6 and 14 recently proposed taxonomies that distinguish between four processing states, based on bottom-up stimulus strength and top-down attentional amplification. The aim of the present study was to empirically test these processing states using the priming paradigm. Our results showed that attention and stimulus strength significantly modulated priming effects: either receiving top-down attention or possessing sufficient bottom-up strength was a prerequisite for a stimulus to elicit priming. When both top-down attention and sufficient bottom-up strength were present, the priming effect (...) was boosted. The origins of the observed priming effects also varied between different processing states. We can conclude that our empirical study using the priming paradigm confirmed the presence of four processing states, which displayed a differential pattern of response priming effects and differential origins of the response priming effects. (shrink)

In this article, an ethical analysis of an educational programme on renal replacement therapy options for patients and their social network is presented. The two main spearheads of this approach are: (1) offering an educational programme on all renal replacement therapy options ahead of treatment requirement and (2) a home-based approach involving the family and friends of the patient. Arguments are offered for the ethical justification of this approach by considering the viewpoint of the various stakeholders involved. Finally, reflecting on (...) these ethical considerations, essential conditions for carrying out such a programme are outlined. The goal is to develop an ethically justified and responsible educational programme. (shrink)

Let T be a complete o-minimal extension of the theory of real closed fields. We characterize the convex hulls of elementary substructures of models of T and show that the residue field of such a convex hull has a natural expansion to a model of T. We give a quantifier elimination relative to T for the theory of pairs (R, V) where $\mathscr{R} \models T$ and V ≠ R is the convex hull of an elementary substructure of R. We deduce (...) that the theory of such pairs is complete and weakly o-minimal. We also give a quantifier elimination relative to T for the theory of pairs (R, N) with R a model of T and N a proper elementary substructure that is Dedekind complete in R. We deduce that the theory of such "tame" pairs is complete. (shrink)

Liberal political philosophy emphasizes the benefits of membership in a cultural group and, in the opinion of this challenging book, neglects its harmful, oppressive aspects. Andrew Kernohan argues that an oppressive culture perpetuates inegalitarian social meanings and false assumptions about who is entitled to what. Cultural pollution harms fundamental interests in self-respect and knowledge of the good and is diffuse, insidious, and unnoticed. This cultural pollution is analogous to environmental pollution, and though difficult to detect, is nonetheless just as real. (...) The book's conclusion is that a liberal state committed to the moral equality of persons must accept a strong role in reforming our cultural environment. (shrink)

The COVID-19 pandemic has forced developmental researchers to rethink their traditional research practices. The growing need to study infant development at a distance has shifted our research paradigm to online and digital monitoring of infants and families, using electronic devices, such as smartphones. In this practical guide, we introduce the Experience Sampling Method – a research method to collect data, in the moment, on multiple occasions over time – for examining infant development at a distance. ESM is highly suited for (...) assessing dynamic processes of infant development and family dynamics, such as parent-infant interactions and parenting practices. It can also be used to track highly fluctuating family dynamics and routines. The aim of the current paper was to provide an overview by explaining what ESM is and for what types of research ESM is best suited. Next, we provide a brief step-by-step guide on how to start and run an ESM study, including preregistration, development of a questionnaire, using wearables and other hardware, planning and design considerations, and examples of possible analysis techniques. Finally, we discuss common pitfalls of ESM research and how to avoid them. (shrink)

When we define argumentation as a communicative activity aimed at convincing a reasona-ble critic of the acceptability of a standpoint by putting forward information justifying or refuting this standpoint, it is clear that elements of this information can be brought forward in other than verbal modes. An important question is then whether visually presented information needs to be translatable into a set of propositions as traditional definitions require. The answer is: not always.

The first quodlibetal question by William of Alnwick is a reply to John Duns Scotus' Quaestio de Formalitatibus, where the latter clarified his understanding of the formal distinction: ‘formal non-identity’ of the personal properties in God (and of the divine attributes) does not preclude a formal distinction if the latter is conceived as a distinction weakened by the modifier ‘formal’. Whereas Scotus' Quaestio has been subjected to a detailed analysis by Stephen Dumont, “Duns Scotus’ Parisian Question”, there is as yet (...) no such analysis of Alnwick's response. In the present paper his position is explained in detail. Alnwick rejects Scotus' view of ‘formal’ as a weakening modifier; he argues that the formal distinction necessarily is unqualified and may still import too much of unwanted realism in the matter at hand. Both Scotus and Alnwick acknowledge that the formal non-identity reflects the nature of things without falling back to a real distinction. But for Alnwick the right kind of distinction is a qualified distinction that is not a formal distinction. (shrink)

In this interview with Jan Hendrik van den Berg, the Dutch phenomenologist and psychiatrist addresses the origins of his work, his most significant influences, and the purpose of metabletic phenomenology in the modern age. In the course of the interview. Dr. Van den Berg provides a basic overview of his work, and highlights the central finding of his metabletic analyses: a loss of wonder before nature, which results from the more fundamental loss of genuine spirituality in the modern world.

Meta-theories, base-theories and theories of practice in Pratical Theology The problem of meta-theories and base-theories, their interaction and the influence of each on the scientific process, have widely been debated in practical theology. In South Africa two meta-theories namely the system- theory together with the theory that social science is busy with the study of actions, are having the greater deal of attention. The purpose of this article is to point out the fact that an early and absolute choice of (...) particular meta-theories, restricts the work of practical theology because it will influence your base-theories, and can weaken the theological content of practical theology. An attempt is made to offer a model by which the interaction between, meta-theories, base-theories and theories of practice can he understood and which can also help the theologian, busy with practical theology, to steer clear of problems and understand the meta- influences in his own scientific work. (shrink)

Selection on grandparental investment is more complex than Coall & Hertwig (C&H) propose. Patterns of investment are subject to an intergenerational conflict over how resources should be distributed to maximize fitness. Grandparents may be selected to distribute resources unevenly, while their descendants will be selected to manipulate investment in their own favor. Here we outline the evolutionary basis of this conflict.