Action relations, semantic relations, and familiarity of spatial position in Balint’s syndrome: Crossover effects on perceptual report and on localization

We contrasted effects of the action relationship between objects, relative to effects of semantic relation and familiarity of spatial location, in a patient with Balint’s syndrome. We found enhanced perceptual report of objects placed in the correct colocations for action in comparison with when the objects (1) were placed in incorrect locations for action (Experiment 1), (2) were associatively related (Experiment 2), or (3) fell in familiar locations but were not action related (Experiment 4). In contrast, the ability to localize the objects was affected by whether the objects were in familiar as opposed to unfamiliar locations with respect to one another. Action relations between objects facilitate joint attention to both objects but do not facilitate binding to location. Familiar spatial relations facilitate spatial binding, but do not cue joint attention to the stimuli. Effects of action relation on attention and localization can be dissociated from effects of semantic relationship and familiarity of spatial location on attention and localization.     

Platonism and metaphor in the texts of mathematics: Gödel and Frege on mathematical knowledge

In this paper, I challenge those interpretations of Frege that reinforce the view that his talk of grasping thoughts about abstract objects is consistent with Russell's notion of acquaintance with universals and with Gödel's contention that we possess a faculty of mathematical perception capable of perceiving the objects of set theory. Here I argue the case that Frege is not an epistemological Platonist in the sense in which Gödel is one. The contention advanced is that Gödel bases his Platonism on a literal comparison between mathematical intuition and physical perception. He concludes that since we accept sense perception as a source of empirical knowledge, then we similarly should posit a faculty of mathematical intuition to serve as the source of mathematical knowledge. Unlike Gödel, Frege does not posit a faculty of mathematical intuition. Frege talks instead about grasping thoughts about abstract objects. However, despite his hostility to metaphor, he uses the notion of ‘grasping’ as a strategic metaphor to model his notion of thinking, i.e., to underscore that it is only by logically manipulating the cognitive content of mathematical propositions that we can obtain mathematical knowledge. Thus, he construes ‘grasping’ more as theoretical activity than as a kind of inner mental ‘seeing’.

     

Platonism and metaphor in the texts of mathematics: G?del and Frege on mathematical knowledge

In this paper, I challenge those interpretations of Frege that reinforce the view that his talk of grasping thoughts about abstract objects is consistent with Russell's notion of acquaintance with universals and with Gödel's contention that we possess a faculty of mathematical perception capable of perceiving the objects of set theory. Here I argue the case that Frege is not an epistemological Platonist in the sense in which Gödel is one. The contention advanced is that Gödel bases his Platonism on a literal comparison between mathematical intuition and physical perception. He concludes that since we accept sense perception as a source of empirical knowledge, then we similarly should posit a faculty of mathematical intuition to serve as the source of mathematical knowledge. Unlike Gödel, Frege does not posit a faculty of mathematical intuition. Frege talks instead about grasping thoughts about abstract objects. However, despite his hostility to metaphor, he uses the notion of grasping as a strategic metaphor to model his notion of thinking, i.e., to underscore that it is only by logically manipulating the cognitive content of mathematical propositions that we can obtain mathematical knowledge. Thus, he construes grasping more as theoretical activity than as a kind of inner mental seeing.     

Snakes, spiders, guns, and syringes: how specific are evolutionary constraints on the detection of threatening stimuli?

In three experiments, the efficiency in detecting fear-relevant and fear-irrelevant visual stimuli are compared. A visual search paradigm is used where participants are presented with matrices of different sizes (4 objects/9 objects) and must determine whether all objects are taken from the same category or whether there is a discrepant one. Results from all experiments were consistent with the threat-superiority effect. Participants were quicker when the target was threatening than when it was not. Other indicators confirmed that the detection of threatening targets involves more efficient processes (reduced slopes, absence of position effects). A crucial aspect of these experiments was the comparison of evolutionary-relevant (snakes, spiders, etc.) and modern (guns, syringes, etc.) threats. The threat-superiority effect was repeatedly found for both types of target. Stronger effects were sometimes observed for modern than for evolutionary-relevant threats. The implications for evolutionary explanations of the effect of fear on visual attention are discussed.     

Cultural relations between the west and the world of Islam: Meeting points and possibilities of co‐operation on the academic level

Faced with world‐wide political and ecological problems the West and the world of Islam stand in need of dialogue and cooperation. For these to continue and succeed, the discrimination of the West against Islam must stop. However, Islam is misunderstood also in its own camp. Efforts to research Islam on the academic level, as impartially and as free from prejudice as possible, are therefore of the utmost importance. Western civilization and technology have been adopted in the Islamic world, whereas as far as the humanities are concerned, an attitude of unconditional acceptance coexists with one of total re‐jection. Critical discussion and argument with the West can and must in no way be separated from a thoroughgoing Islamic self‐criticism.     

Bernays,Dooyeweerd and Gödel – the remarkable convergence in their reflections on the foundations of mathematics

Abstract

In spite of differences the thought of Bernays, Dooyeweerd and Gödel evinces a remarkable convergence. This is particularly the case in respect of the acknowledgment of the difference between the discrete and the continuous, the foundational position of number and the fact that the idea of continuity is derived from space (geometry–Bernays). What is furthermore similar is the recognition of what is primitive (and indefinable) as well as the account of the coherence of what is unique, such as when Gödel observes something quasi-spatial in the character of sets. It is shown that Dooye-weerd’s theory of modal aspects provides a philosophical framework that exceeds his own restrictive understanding of infinity (to the potential infinite) and at the same time makes it possible to account for key insights found in the thought of Bernays and Gödel. When Laugwitz says that discreteness rules within the sphere of the numerical, he says nothing more than what Dooyeweerd had in mind with his idea that discrete quantity, as the meaning-nucleus of the arithmetical aspect, qualifies every element within the structure of the quantitative aspect. And when Bernays says that analysis expresses the idea of the continuum in arithmetical language his mode of speech is equivalent to saying that mathematical analysis could seen as being founded upon the spatial anticipation within the modal structure of the arithmetical aspect. The view of the actual infinite (the at once infinite) in terms of an “as if” approach (Bernays), that is, as appreciated as a regulative hypothesis through which every successively infinite multiplicity of numbers could be envisaged as being giving all at once as an infinite totality, provides a sound understanding of the at once infinite and makes it plain why every form of arithmeticism fails. Such attempts have to call upon Cantor’s proof of the non-denumerability of the real numbers–and this proof pre-supposes the use of the at once infinite which, in turn, pre-supposes the (irreducibile) spatial order of simultaneity and the spatial whole-parts relation.     

Bergson’s philosophical method: At the edge of phenomenology and mathematics

Continental Philosophy Review - This article highlights the mathematical structure of Henri Bergson’s method. While Bergson has been historically interpreted as an anti-scientific and...     

The Stress of Adversity,Samadhiand Spiritual Development: science and the psychodynamics of non‐specific experience

While it has been widely observed that the stress of adversity may prompt spiritual/moral growth, for a number of reasons there is little research or theory that explains the basis on which such experience would lead to the emotional maturity and moral sensitivity that characterizes spiritual development. Inquiries are complicated by the fact that the stress of adversity can just as well lead to emotional disintegration. This article advances a model which seeks to clarify the role that adversity plays in promoting spiritual development. Drawing from psychoanalytic theory, neuroscience and yoga psychology, a model is presented which may not only plausibly explain the phenomenon under consideration, but in addition, the role of meditation practice in advancing spiritual/moral growth. Such a practice may be more humane, more reliable and more educationally applicable than any other social or educational policy which would seek to exploit the principles for development elucidated in this model.     

Aristotle’s prohibition rule on kind-crossing and the definition of mathematics as a science of quantities

The article evaluates the Domain Postulate of the Classical Model of Science and the related Aristotelian prohibition rule on kind-crossing as interpretative tools in the history of the development of mathematics into a general science of quantities. Special reference is made to Proclus’ commentary to Euclid’s first book of Elements, to the sixteenth century translations of Euclid’s work into Latin and to the works of Stevin, Wallis, Viète and Descartes. The prohibition rule on kind-crossing formulated by Aristotle in Posterior analytics is used to distinguish between conceptions that share the same name but are substantively different: for example the search for a broader genus including all mathematical objects; the search for a common character of different species of mathematical objects; and the effort to treat magnitudes as numbers.     

Commentaries on “Beyond statistical significance: Five principles for the new era of data analysis and reporting”

Three commentaries below provide different perspectives on data analysis and reporting. They generally focus on how the quality of the measures and manipulations determines the value of the analysis. Norbert Schwarz and Fritz Strack's comment is less on the right statistic and more on “sloppy reasoning, gaps between theoretical concepts and their operationalizations, and blissful ignorance of the situated nature of human thinking, feeling, and doing contribute more to the limited reproducibility of empirical findings than the choice of a particular test statistic.” They propose that particular effects are contextual and inappropriately labeled as true or false. Instead, our job is to focus on general constructs that make sense of the diversity of human experience and psychological reactions. Too often studies replicating psychological effects in the noisy and confounded conditions of the marketplace result in statistical uncertainty of garbage in, garbage out. Researchers instead need to look toward tests of specific interactions, which can clarify the influencing factors based on theoretical considerations. The second comment is by Andrew Gelman, an outstanding psychological statistician. He proposes that “once the data have been collected, the most important decisions have already been done.” He then provides four recommendations that enable the statistics to work appropriately. The first requirement of an effective study is to be sure that the measures address the construct of interest. Similar to the position of Schwarz and Strack, it is important to articulate the relevance of a statistically significant finding. The second recommendation seeks to curb large number of studies with inflated effect sizes built from narrow studies and unwarranted optimism. The third recommendation is to simulate data from a model and consider the distribution of possible results. That is often done to test a new analysis method, but it can be even more important in marketplace studies where novel characteristics of the sample and experimental conditions are included in the analysis. Finally, he recommends that one consider likely analyses needed before getting the data. Such foresight would encourage, for example, thinking about the kind of data needed to defend the equality of the control demographics against the treatment. The final commentary is by Stijn van Osselaer. He agrees that p-values reflect the detailed methods from a given study but do not focus on the problem of generalizability. Like Gelman, he sees designs focused on effect sizes may have generated too many studies that do not replicate. He contrasts broad explorations with narrowly defined existence tests that provide evidence that an effect exists somewhere but are mute on other contexts where they may apply. For theoretical problems relevant to applications, it is important to identify moderators through broad sampling across population characteristics, stimuli, and situations. He proposes that consumer psychologists should not try to do everything in one paper, but to build practically relevant, applicable knowledge across multiple articles. Different articles, authors, and research methods play various roles, with each article focusing on important stages in the process from generating hypotheses, providing existence proofs, and exploring their broad applicability. That pragmatic approach can integrate theoretical silos that seek to resolve complex human problems and has promise as a criterion for relevant publications.     

Aesthetic principles and cognitive emotion appraisals: How much of the beauty lies in the eye of the beholder?

Although the aesthetic properties of a product have often been linked to consumers’ emotional responses, theory and empirical evidence are yet to fully explain how and why aesthetic properties of a product evoke an emotional response. Drawing on an eclectic literature, we propose hypotheses connecting aesthetic principles with the subconscious cognitive appraisals associated with emotions. Specifically, we empirically test the relationships between the aesthetic principle of harmony and cognitive appraisals (attentional activity and pleasantness), while exploring the moderating role of typicality. Our results suggest that harmony and typicality interact to affect appraisals of pleasantness and attentional activity. Specifically, consumers tend to prefer designs that balance the levels of attentional resources needed and pleasantness in visually evaluating the design. This work advances the growing literature in product design and aesthetics by providing an understanding of the mechanisms through which aesthetic principles might prompt emotional responses in consumers.     

Social influence on physics and mathematics: local or attributive?

Summary  The article is devoted to the nature of science. To what extent are science and mathematics affected by the society in which they are developed? Philosophy of science has accepted the social influence on science, but limits it only to the context of discovery (a “locational” approach). An opposite “attributive” approach states that any part of science may be so influenced. L. Graham is sure that even the mathematical equations at the core of fundamental physical theories may display social attributes. He has used the investigations of the famous Soviet physicist V. Fock on the General Theory of Relativity which were under the influence of Marxism. The Goal of the article is to demonstrate: 1) Why Soviet science is not an appropriate subject-matter for testing the thesis of social constructivism, 2) That differnt levels of science and different stages in the development of science undergo social influences in different degrees ranging from very significant and unavoidable to absolutely trivial and easy eliminated.     

The sacred,the holy,the numinous – and religion: on the emergence and early history of a terminological constellation

ABSTRACT

At the turn of the 19th century and in the early 20th century, the sacred (Durkheim, Mauss, Callois), holiness/the holy (Söderblom, Otto) and the numinous (Otto) emerged as key terms in the nascent field of religious studies. These terms set up a discursive space for the study of religion that acknowledged its reality and relevance for modern societies and individuals, but that proceeded independent of confessional theologies and sought to transcend Western-Christian ethnocentrism. By providing a close reading of the works of the above-mentioned scholars, in particular Durkheim, this article revisits the emergence of these terms. In particular, it looks at the different ways in which the sacred, the holy and the numinous were related to religion. The article discusses some differences between the scholars of the sacred and the scholars of the holy in terms of their agendas, aims, and preconditions.     

From Searle’s Chinese room to the mathematics classroom: technical and cognitive mathematics

Employing Searle’s views, I begin by arguing that students of Mathematics behave similarly to machines that manage symbols using a set of rules. I then consider two types of Mathematics, which I call Cognitive Mathematics and Technical Mathematics respectively. The former type relates to concepts and meanings, logic and sense, whilst the latter relates to algorithms, heuristics, rules and application of various techniques. I claim that an upgrade in the school teaching of Cognitive Mathematics is necessary. The aim is to change the current mentality of the stakeholders so as to compensate for the undue value presently attached to Technical Mathematics, due to advances in technology and its applications, and thus render the two sides of Mathematics equal. Furthermore, I suggest a reorganization/systematization of School Mathematics into a cognitive network to facilitate students’ understanding of the subject. The final goal is the transition from mechanical execution of rules to better understanding and in-depth knowledge of Mathematics.

The discovery of the principles of reinforcement,extinction, generalization,and differentiation of conditional reflexes in Pavlov’s laboratories

The discovery of reinforcement, extinction, generalization, and differentiation with the conditional reflex method in Pavlov’s laboratories is described. Modern American introductory texts show that contemporary understanding of the experimental work on conditioning in Pavlov’s laboratories is derived from a 1927 English translation of Pavlov’s lectures on the conditional reflexes. The lectures present the discoveries topically, not chronologically. In contrast, this article presents a chronological account of the contributions of S. G. Vul’fson, I. F. Tolochinov, and B. P. Babkin, which led to the conceptualization of reinforcement and extinction, and the work of V. N. Boldyrev and N. A. Kashereninova, which led to the formulation of the concepts of generalization and differentiation. This historical approach avoids giving the impression that the development of the Pavlovian paradigm was a highly systematic pursuit.     

A Comparison of Dewey’s and Russell’s Influences on China

John Dewey and Bertrand Russell visited China at around the same time in 1920. Both profoundly influenced China during the great transition period of this country. This article will focus on the differences between the two great figures that influenced China in the 1920s. This comparison will examine the following five aspects: 1. Deweyanization vs. Russellization; 2. Dewey’s “Populism” vs. Russell’s “Aristocraticism”; 3. Dewey’s “Syntheticalism” vs. Russell’s “Analyticalism”; 4. Dewey’s “Realism” vs. Russell’s “Romanticism”; 5. Dewey’s “Conservatism” vs. Russell’s “Radicalism”. This examination will highlight that, although their visit left indelible impressions among Chinese intellecturals, for the radical Marx–Leninists, any Western philosophy and socio-political theories, including Dewey’s and Russell’s, were prejudicial, outworn, and even counterrevolutionary. Soon “Marxi–Leninization” was gradually substituted for “Deweyanization” and “Russellization.”     

Cross-lagged relations between kindergarten teachers’ causal attributions, and children’s interest value and performance in mathematics

The present study investigated mathematics performance and related interest value as the antecedents and consequences of teachers?? causal attributions concerning children??s academic outcomes during their kindergarten year. Sixty-nine children (5?C6?years old at the baseline) and their teachers were examined twice during the kindergarten year. Children were tested in mathematics performance and interviewed about their interest value. Teachers rated their causal attributions in the fall and spring. The results showed that the higher the interest value in mathematics children showed, the more the teacher attributed their success to ability and effort. Teachers?? ability attributions for success, in turn, contributed to an increase in children??s interest value in mathematics. Moreover, attributing children??s success and failure to external causes decreased children??s mathematics-related interest value.