Is 26 + 26 smaller than 24 + 28? Estimating the approximate magnitude of repeated versus different numbers

It has recently been suggested that regardless of the dimension at hand (i.e., numerosity, length, time), similar operational mechanisms are involved in the comparison process based on approximate magnitude representation. One piece of evidence for this hypothesis lies in the presence of similar behavioral effects for any comparison (i.e., the distance effect). In the case of length comparison, the comparison process can be biased by summation toward either an underestimation or an overestimation: The sum of equal-size stimuli is underestimated, whereas the sum of different-size stimuli is overestimated. Relying on the hypothesis that similar operational mechanisms underlie the comparison process of any magnitude, we aim at extending these findings to another magnitude dimension. A number comparison task with digit numbers was used in the two experiments reported presently. The objective was to investigate whether summation also biases magnitude representation of numerical and symbolic information. The results provided evidence that the summation bias can also apply to numerical magnitude comparison, since the sum of repeated numbers (26 + 26) was underestimated whereas the sum of different numbers (24 + 28) was overestimated. We propose that these effects could be accounted for by a heuristic linking cognitive effort and magnitude estimation.     

Why is 9+7 harder than 2+3? Strength and interference as explanations of the problem-size effect

In four experiments, the problem-size effect was investigated, using an alphabet-arithmetic task in which subjects verified such problems as A + 2 = C. Problem size was manipulated by varying the magnitude of the digit addend (e.g., A + 2, A + 3, and A + 4). The frequency and similarity of problems was also manipulated to determine the contribution of strength and interference, respectively. Experiment 1 manipulated frequency at low levels of practice and found that strength could account for the problem-size effect. Experiment 2 manipulated frequency at higher levels of practice, and found that strength alone could not account for the problem-size effect at asymptote. Experiment 3 manipulated frequency and similarity and found a substantial problem-size effect at asymptote, suggesting that both strength and interference contribute to the problem-size effect. Experiment 4 manipulated similarity, keeping frequency constant, and found no problem-size effect at asymptote, suggesting that interference alone is not responsible for the problem-size effect. The results are related to findings with number arithmetic.     

Parafoveal processing of word n + 2 during reading: do the preceding words matter?

We used the boundary paradigm (Rayner, 1975) to test two hypotheses that might explain why no conclusive evidence has been found for the existence of n + 2 preprocessing effects. In Experiment 1, we tested whether parafoveal processing of the second word to the right of fixation (n + 2) takes place only when the preceding word (n + 1) is very short (Angele, Slattery, Yang, Kliegl, & Rayner, 2008); word n + 1 was always a three-letter word. Before crossing the boundary, preview for both words n + 1 and n + 2 was either incorrect or correct. In a third condition, only the preview for word n + 1 was incorrect. In Experiment 2, we tested whether word frequency of the preboundary word (n) had an influence on the presence of preview benefit and parafoveal-on-foveal effects. Additionally, Experiment 2 contained a condition in which only preview of n + 2 was incorrect. Our findings suggest that effects of parafoveal n + 2 preprocessing are not modulated by either n + 1 word length or n frequency. Furthermore, we did not observe any evidence of parafoveal lexical preprocessing of word n + 2 in either experiment.     

Impressions at the intersection of ambiguous and obvious social categories: Does gay + Black = likable?

How do perceivers combine information about perceptually obvious categories (e.g., Black) with information about perceptually ambiguous categories (e.g., gay) during impression formation? Given that gay stereotypes are activated automatically, we predicted that positive gay stereotypes confer evaluative benefits to Black gay targets, even when perceivers are unaware of targets' sexual orientations. Participants in Study 1 rated faces of White straight men as more likable than White gay men, but rated Black men in the opposite manner: gays were liked more than straights. In Study 2, participants approaching Whites during an approach–avoidance task responded faster to straights than gays, whereas participants approaching Blacks responded faster to gays than straights. These findings highlight the striking extent to which less visible categories, like sexual orientation, subtly influence person perception and determine the explicit and implicit evaluations individuals form about others.     

To be at the tail of the lions or the head of the foxes?

Agents seeking an opportunity for profit often have to compete with others who pursue the same opportunity. When having to choose between a number of opportunities differing in their value and if individuals differ in their chances of outperforming others, the choice can be cognitively and emotionally demanding. We explore choice between opportunities using stylized Lions–Foxes games. In such a game, each of three players, with different odds of beating others, has to choose one of two contests that offer different rewards. After game theoretically analyzing the games, which we have experimentally employed, we report four experiments that vary in choice elicitation (repeated play or strategy method), in players' matching (random strangers or partners) and in rewards. Regarding contest choices, we found the choice of the higher value (and seemingly more prestigious) contest to be positively related to winning odds, contrary to what four out of the five (mixed, partially mixed, or pure) equilibria predict. Participants started out rather optimistic, with a large majority choosing the higher value option, but with experience, they approached the only viable of two pure strategy equilibria. Still, mixing continued via reacting to past play and outcome, apparently balancing dissatisfaction from choosing either contest.     

Seeing the world with the eyes of the outgroup — The impact of perspective taking on the prototypicality of the ingroup relative to the outgroup

The positive effect of perspective taking on favorable attitudes towards stigmatized individuals and outgroups is well established (Batson et al., 1997). We draw on the ingroup projection model (Mummendey & Wenzel, 1999) to better understand the processes underlying this effect. Based on their egocentric perspective, ingroup and outgroup members have different representations of the superordinate group (perspective divergence) so that the ingroup is perceived as more relatively prototypical of the superordinate group, leading to negative outgroup evaluation. We hypothesize that the positive effect of perspective taking on outgroup attitudes is due to a reduction of relative ingroup prototypicality. Across three studies with different manipulations of perspective taking, we found that participants who were taking the perspective of an outgroup member evaluated the outgroup more positively and were less inclined to perceive their ingroup as more relatively prototypical. The effect of perspective taking on outgroup attitudes was mediated by relative ingroup prototypicality.     

Private car as the grand equaliser? Demographic factors and mobility in Finnish men and women aged 65+

The present study examined the association between selected demographic variables and community-related mobility of Finnish elderly citizens. A mail survey was sent to 2500 Finnish citizens aged 65 and over. The overall response rate was 62%. Mobility was measured in two dimensions: overt travel behaviour and unfulfilled travel needs. Several demographic variables had a clear association with both dimensions of mobility. Sub-groups with reduced mobility included women, rural residents, the oldest old, and those without a driver license. When the interactions of single demographic variables were controlled for, significant predictors for hindered mobility were absence of driver license and rural-type residing. The results indicate that the level of mobility varies among the elderly, and there are certain sub-groups with limited mobility, often those with less overall resources. The possibility to drive a private car is, at present, crucial for older persons' mobility, which has important implications both for further research and policy discussion.     

Assessment of the relative importance of S+ and S− in rats using differential training on intercurrent discriminations

The present studies assessed the degree of stimulus control exerted by S+ and S? without confoundings of stimulus novelty and stimulus ambiguity. In Experiment 1, rats were trained on two intercurrent simultaneous discrimination problems with nine times more training given on one than the other. Then the animals were given transfer tests with re-paired stimuli. The results showed that S? exerts greater stimulus control than S+ in a two-choice simultaneous discrimination. Experiment 2 provided a test of the possibility that the relative degree of control by S? varies with different amounts of training. Three groups were trained on two intercurrent simultaneous discrimination problems; each group was given 7, 11, or 15 times more training on one problem than the other. Then transfer tests were given with re-paired stimuli. Again the results showed that S? exerts greater stimulus control than S+ in a two-choice simultaneous discrimination.     

“A+是+B”的话题不宜暗中移动

A+是+B 这是逻辑中表示性质命题的典型表达式。从语法结构来分析,“A”是主语,“是”是动词,“B”是宾语,这是个判断句。从语用结构来分析,“A”是话题(主题叙述的出发点),“是+B”是述题(对话题所作的说明)。如果作语义分析,“A+是+B”可以用来表示等同或归类关系,除此之外,还可以表示特征(这小孩是黄头发)、质料(那两套茶具是唐山瓷)、领有(这间教室是一个门)、比喻(人眼是秤)等关系。     

Al-Ghazali’s Position on the ‘Second Proof’ of the ‘Philosophers’ for the Eternity of the World,in the First Discussion of the Incoherence of the Philosophers

In the Incoherence of the Philosophers, Abu Hamid al-Ghazali (1058-1111) raised objections against the doctrine of the ‘philosophers’ (represented chiefly by al-Farabi and Ibn Sina) on 20 specific points. In the first, and longest discussion, he examines and rebuts four of their proofs of the pre-eternity of the world—that is, that the universe as a whole had no beginning but extends perpetually into the past. Al-Ghazali rejects that doctrine. But his own position on the issue does not become clear until he discusses the philosophers’ ‘second proof.’ In this paper, I will examine the relevant text of the Incoherence of the Philosophers, in order to clarify the nature of Al-Ghazali’s position in relation to the second proof. I will explain why Al-Ghazali cannot adopt what I refer to as the ‘naïve’ theological position, according to which God temporally preceded the world. Instead, Al-Ghazali concurs with the philosophers that time is the measure of motion, but he asserts that time was created with the world, both having a beginning before which there was no time. God, on the other hand, is not temporally prior to the world, but neither is he simultaneous, as the second proof supposes. As timelessly eternal, God bears no temporal relation to the world at all. In conclusion, I describe what I refer to as a naïve philosophical position, which is entailed by the second proof, but distinct from both Al-Ghazali’s position and that adopted by Ibn Rushd in his critique of Al-Ghazali in the Incoherence of the Incoherence. I argue that this naïve philosophical position (and thus, the second proof) is incoherent.     

Plato the Democrat？ Some Thoughts on the Politics of the Laws

In the Laws （which Plato calls his ＂second-best society＂） Plato asserts that the best attainable form of society will combine the better features of autocracy and democracy. The democracy will be one where aidos （＂respect＂） will be a prominent feature, as will be the rule of laws underpinned by the belief that God, not man, is the measure of all things. Unlike in the Republic, the accumulation of wealth and property will be the right of all citizens, including rulers. But it will operate under strict limits： a maximum of four quanta of property will be allowed by any citizen, while a minimum of one （which will provide a good life though perhaps not a rich one） will be guaranteed. The affinity of such a view with that of John Rawls is striking. The article ends with a brief interview between the reader and Plato, in which some of the above issues are discussed.     

Teaching the Bible in the schools of the Labor and the Kibbutz Movements, 1921–1953

How the challenge of teaching the Bible was met by educators who were members of the Kibbutz and Labor movements during the years before the establishment of the Israeli State is the subject of the following essay. Years ago, Jacobus Schoneveld, (1976), recently followed by Asher Shkedi (2004) proposed dividing educators of the Labor and Kibbutz movements into three types: those who wished to stress “national reconstruction,” those directed toward teaching a “universal humanism” and those seeking to awaken “moral dialogue” and achieve “personal growth.” In fact, such clear-cut lines of demarcation did not exist. The goals were these, but approaches themselves were always mixed. One distinguishes educational goals better by a more simple division into the questions of what is to be taught (religious versus Secular materials) and through which ancillary disciplines. Doing so has the virtue of highlighting how these educators were animated by their quest after how best to teach Biblical morality with the aim of “shaping” the student or achieving “emulation,” especially by generating a “dialogue” between the pupil and the biblical text, leading to “personal growth.” These emphases tell us much about the pre-State educational mentality and pedagogical ideals.     

Book Review of Health and the Construction of the Individual. J. Ogden. London: Routledge, 2002. i–viii + 130 pages ISBN 0415233070

Abstract

Recent theoretical and empirical research has challenged the assumption of health psychologists employing social cognitive models that beliefs can confidently be inferred on the basis of questionnaire responses. It is charged that responses to questionnaires are a function of the intelligibility of the items, constructs and theoretical framework to survey participants. To investigate this contention, cognitions specified by Protection Motivation Theory (PMT) were measured with respect to intentions to use a condom and intentions to use dental floss. Three alternative formats of a questionnaire which varied the order of presentation of PMT items were distributed to student samples. Analyses showed that while questionnaire format did not affect the reliability of cognition measures, there was some variation in the significance and strength of correlations between PMT cognitions across formats. Individual differences in social desirability and salience of the target behaviour had small and predictable effects upon reliabilities and intercorrelations. Implications for the measurement of health beliefs and the status of questionnaire responses are outlined and suggestions are made for controlling bias associated with respondents' capacity to “read” a questionnaire.     

What is the Good/ Good of the FORM of the GOOD?

‘Good’ is nothing specific but is transcendentally or generally applied over specific, and specified, ‘categories’. These ‘categories’ may be seen—at least for the purposes of this note—as under Platonic Forms. The rule that instances under a category or form need a Form to be under is valid. It may be tautological: but this is OK for rules. Not being specific, however, ‘good’ neither needs nor can have a specifying Form. So, on these grounds, the Form of the Good is otious. Any rule of the kind, ‘Everything needs a Form, so good needs a Form of the Good’ is mistaken, in that good is not a kind, but a transcendental. To give a Form to the transcendental ‘good’ is a mistake: it is a Rylian category mistake. And the Form of the Good either does no work, or works unprofitably in any but an aesthetic sense.     

The closer the relationship, the more the interaction on facebook? Investigating the case of Taiwan users

This study argues for the necessity of applying offline contexts to social networking site research and the importance of distinguishing the relationship types of users' counterparts when studying Facebook users' behaviors. In an attempt to examine the relationship among users' behaviors, their counterparts' relationship types, and the users' perceived acquaintanceships after using Facebook, this study first investigated users' frequently used tools when interacting with different types of friends. Users tended to use less time- and effort-consuming and less privacy-concerned tools with newly acquired friends. This study further examined users' behaviors in terms of their closeness and intimacy and their perceived acquaintanceships toward four different types of friends. The study found that users gained more perceived acquaintanceships from less close friends with whom users have more frequent interaction but less intimate behaviors. As for closer friends, users tended to use more intimate activities to interact with them. However, these activities did not necessarily occur more frequently than the activities they employed with their less close friends. It was found that perceived acquaintanceships with closer friends were significantly lower than those with less close friends. This implies that Facebook is a mechanism for new friends, rather than close friends, to become more acquainted.     

If the boy loves the girl and the girl loves the dog,does the boy love the dog?: The overgeneralization of verbal transitive inference skills

Two studies investigated 4- to 10-year-old children's capacity to make verbal transitive inferences. The results of the two studies suggest that the development of transitive inference skills follows a specific to general developmental path, and that children overgeneralize their verbal transitive inference skills to inappropriate relational terms prior to determining the general principle that underlies the use of relational terms in transitive sentences.