The sisters of the golden section

The golden proportion is widely believed to be extraordinarily prevalent in nature and the arts, which is often ascribed to it being the limit of the ratio between any two successive elements in the Fibonacci sequence. It is suggested here that the golden ratio may not be as exceptional as generally believed. Mathematically, some interesting properties are common to all members of a family of sequences, denoted ARS, characterised as solutions to the classic rabbit reproduction problem varying on some parameter, j, including the Fibonacci sequence as a prototypical member--ARS2. Furthermore, for j > 1, any limit of the ratio between successive elements in ARS(j), shares the same formal properties with all other such limits. Three actual interpretations and three further geometric applications of ARS3, all intimately analogous to corresponding ARS2 ones, are presented for the sake of illustration. Empirically, it is suggested here that, owing to the communality of interesting mathematical properties between ARS sequences, as well as between corresponding limits, nature might appear to have made use of some other limits, aside of its variegated use of the limit of ARS2--the golden ratio. Initial empirical clues are provided. Finally, the issue whether there really is special import to golden proportions in nature and the arts is revisited in view of some empirical comparisons of appearances related to Fibonacci numbers and ARS3 numbers, particular its limit (-1.466) and the inverse of that limit (-0.682). It is argued that the claim that Fibonacci-related numbers are especially distinguished seems to warrant a more qualified approach than it has often met.     

The aesthetic attractivity of the golden section

Summary It is hypothesized that the presence of a golden section does not in and of itself add to the aesthetic attractivity of a pattern. Only as far as the realization of a golden section entails equivalences between parts of a pattern, will the aesthetic appeal of a pattern be enhanced. An experiment is reported in which this hypothesis is tested and confirmed.     

Training ethical psychologists: an acculturation model

This article presents an approach to graduate (and professional) training that views becoming an ethical psychologist as an acculturation process. J.W. Berry's (1980, 2003) model of acculturation strategies is used as a framework for understanding ethical acculturation, a developmental process during which students can use several types of adaptation strategies. Students enter training with their own moral value traditions and concepts but are confronted with new ethical principles and rules, some of which may be inconsistent with their ethics of origin. The article explores several applications of the framework to ethics courses, practicum supervision, and other areas of training.     

The golden section and American psychology, 1892–1938

The golden section has been said by many to be the most beautiful proportion. Fechner was the first to investigate it experimentally, and several late‐nineteenth‐ and early‐twentieth‐century American psychologists followed up on his work. Among these were four prominent names: Lightner Witmer (1867–1956), Edward L. Thorndike (1874–1949), Robert S. Woodworth (1869–1962), and Robert M. Ogden (1877–1959). Why did such well‐known psychologists bother with the golden section? In attempting to answer this question we discovered that the golden section was surprisingly well known during this period, not only in psychology but also in advertising and design. It would have been entirely congruent with their stature for prominent psychologists to take an interest in it. © 2010 Wiley Periodicals, Inc.     

Compensated kidney donation: an ethical review of the Iranian model

Iran has a program of compensated kidney donation from living unrelated (LUR) donors since 1997. The aim of the program was to address the increasing demand for kidney transplantation in a morally sound manner. The program was successful in terms of increasing the number of kidneys available for transplantation. This paper presents a critical review of the program and its clinical status. Denying organ donors legitimate compensation because of the understandable fear of an organ trade is not morally justifiable, and the Iranian model of compensated LUR kidney donation offers substantial benefits that overcome these concerns. Despite its benefits, the program lacks secure measures to prevent the risk of a direct monetary relationship between donors and recipients, and it must be revised in order to be morally justifiable.     

Creating an ethical organizational environment: The relationship between ethical leadership,ethical organizational climate,and unethical behavior

The purpose of this research is to provide a richer lens on the ethical organizational environment by examining the relationship between ethical leadership and unit-level unethical behavior through ethical organizational climate (EOC), with collective moral identity as a boundary condition. In testing our theoretical model, we first develop and validate a measure of EOC to address concerns with existing measures of ethical climate. Second, we examine the role of collective moral identity as a moderator of the relationship between EOC and unit unethical behavior. We discuss implications regarding the importance of developing a more comprehensive conceptualization of EOC.     

Hillel and Confucius: The prescriptive formulation of the golden rule in the Jewish and Chinese Confucian ethical traditions

A prospective convert asked Hillel to teach him the entire Torahwhile standing on one foot. Hillel replied, “What is hateful to yourself, do not do to your fellow man. That isthe whole of Torah and the remainder is but commentary. Go and study it.” (Hillel:Shab. 31; emphasis added)Zigong: “Is there asingle word that can serve as a guide to conduct throughout one’s life?” Confucius said: “Perhaps the word ‘shu’, ‘reciprocity’: ‘Do not do to others what you would not want others to do to you’.” (Analects: 15.24; see alsoAnalects. 12 andZhongyong. 13.3; emphasis added)¹     

Protecting confidentiality rights: the need for an ethical practice model

All psychologists must uphold the same ethical standards about confidentiality even though each state imposes different legal limits on their ability to protect clients' confidences. The resulting ethical-legal confusion is exacerbated by legally based confidentiality training that treats legal exceptions as if they were the rule and fosters the impression that attorneys are now the only real experts about this aspect of practice. This article provides an ethics-based confidentiality practice model that clarifies the ethical rule and puts its legal exceptions into ethical perspective. Like the Confidentiality section of the American Psychological Association's (2002) Ethical Principles of Psychologists and Code of Conduct, this outline would apply to all psychologists regardless of state laws, but the details of its implementation would vary according to role and setting. It can be used as a universal training outline, a consultation and supervision tool, a guide to professional practice, and a basis for clearer ongoing conversation about the ethics of "conditional confidentiality." Psychologists can use this practice model to regain their status as experts about the confidentiality ethics of their own profession.     

An architecture for ethical robots inspired by the simulation theory of cognition

The expanding ability of robots to take unsupervised decisions renders it imperative that mechanisms are in place to guarantee the safety of their behaviour. Moreover, intelligent autonomous robots should be more than safe; arguably they should also be explicitly ethical. In this paper, we put forward a method for implementing ethical behaviour in robots inspired by the simulation theory of cognition. In contrast to existing frameworks for robot ethics, our approach does not rely on the verification of logic statements. Rather, it utilises internal simulations which allow the robot to simulate actions and predict their consequences. Therefore, our method is a form of robotic imagery. To demonstrate the proposed architecture, we implement a version of this architecture on a humanoid NAO robot so that it behaves according to Asimov’s laws of robotics. In a series of four experiments, using a second NAO robot as a proxy for the human, we demonstrate that the Ethical Layer enables the robot to prevent the human from coming to harm in simple test scenarios.     

The pupillary response as an indicator of arousal and cognition

Psychological research on the pupillary response since 1960 has focused on an arousal interpretation and a cognitive interpretation. Experiment 1 was an attempt to manipulate some arousal factors while controlling the cognitive demands of the task. Pupil size was cinematographically recorded while subjects who had different degrees of reported fear of snakes listened to passages describing imagined interactions with a snake in different proximities. There was also a set of control passages that made no mention of snakes but were otherwise semantically and syntactically identical to the aversive passages. The pupillary response showed no influence of the arousal manipulations, but rating and behavioral data indicated that the arousal variables had been effective. The cognitive demands of the task were clearly indicated by the pupillary response. In Experiment 2 two types of tasks were used: one that employed both arousal (incentive) and cognitive factors and another that had an arousal manipulation (threat of shock) but no explicit cognitive demands. The pupil response was recorded as well as heart rate, skin conductance, and EMG. The pupillary response showed an effect of the arousal manipulations only when cognitive demands were minimal. The results of both experiments are consistent with the view that cognitive demands take priority over arousal factors in affecting the pupillary response. Heart rate did show arousal effects that were not preempted by cognitive demands.     

Modelling cognition in emotional disorder: The S-REF model

Cognitive therapy techniques are applied to an ever-increasing range of psychological disorders. However, both basic methods and general theory of therapy have evolved more slowly. Although cognitive therapy is based on experimentally testable concepts derived from cognitive psychology, an integration of these areas capable of explaining cognitive-attentional phenomena and offering treatment Implications remains to be achieved. In this paper, we outline the Self-Regulatory Executive Function (S-REF) model of emotional disorder, which integrates information processing research with Beck's schema theory. The model advances understanding of the roles of stimulus-driven and voluntary control of cognition, procedural knowledge (beliefs), and of the interactions between different levels of information-processing. It also accounts for cognitive bias effects demonstrated in the experimental psychopathology literature. The model presents implications concerning not only what should be done in cognitive therapy, but how cognitive change may be most effectively accomplished.     

Learning and expertise with scientific external representations: an embodied and extended cognition model

Phenomenology and the Cognitive Sciences - This paper takes an embodied and extended cognition perspective to ER integration – a cognitive process through which a learner integrates external...     

The tuning-fork model of human social cognition: a critique

The tuning-fork model of human social cognition, based on the discovery of mirror neurons (MNs) in the ventral premotor cortex of monkeys, involves the four following assumptions: (1) mirroring processes are processes of resonance or simulation. (2) They can be motor or non-motor. (3) Processes of motor mirroring (or action-mirroring), exemplified by the activity of MNs, constitute instances of third-person mindreading, whereby an observer represents the agent's intention. (4) Non-motor mirroring processes enable humans to represent others' emotions. After questioning all four assumptions, I point out that MNs in an observer's brain could not synchronically resonate with MNs in an agent's brain unless they discharged in a single brain in two distinct tasks at different times. Finally, I sketch a conceptualist alternative to the resonance model according to which a brain mechanism active in both the execution and the perception of e.g., the act of grasping is the neural basis of the concept of e.g., grasping.     

The basic cognition of jealousy: an evolutionary perspective

Penke and Asendorpf (European Journal Of Personality, vol 21, this issue) argue compellingly that research on jealousy would benefit from more direct investigation of cognitive processes, and report on research providing mixed evidence for sex differences in jealousy. We identify three limitations to the empirical approach utilised by Penke and Asendorpf, and highlight novel conceptual and methodological approaches for directly examining the basic cognitive mechanisms associated with jealousy and intrasexual rivalry. Investigating the basic cognition of intrasexual rivalry will help expand the scope of jealousy‐related research. Copyright © 2007 John Wiley & Sons, Ltd.     

A constructivist model of infant cognition

We propose six Information-Processing Principles (IPPs) that together describe a constructive, hierarchical system by which infants come to understand objects and events in the world around them. We then demonstrate the applicability of these principles to four specific domains of infant perception and/or cognition, (i.e., form perception, object unity, complex pattern perception, and understanding of causal events). In each case empirical developmental changes appear to be consistent with the IPPs. We then present the Constructivist Learning Architecture, a computational model of infant cognitive development. This model is based on the IPPs, and uses self-organizing, neurally based techniques from Kohonen (1997) and Hebb (1949). We then apply the model to the complex domain of infant understanding of causal events, and replicate many of the developmental changes found empirically. Finally, we discuss the applicability of this constructivist approach to infant cognitive development in general.     

数量认知和密度认知的关系

数量和密度认知的关系是数量认知研究的关键问题。相关研究在三个方面存在不足：首先, 先前实验研究缺乏对两种加工的有效操控和区分; 其次, 现有理论或认为“数量和密度加工完全独立”, 或认为“数量加工是对密度进行推论的结果”, 比较片面; 第三, 已有理论模型抽象, 不重视功能模块的解释。基于数量认知的多阶段加工特点, 未来研究可以讨论数量认知进行基于密度认知的整合加工的可能性, 提出整合数量和密度加工的理论构想。     

The dynamics of cognition: An ACT-R model of cognitive arithmetic

Zusammenfassung. Forschungsarbeiten zur Kognitiven Arithmetik untersuchen die mentale Repräsentation von Zahlen und arithmetischen Fakten sowie die kognitiven Prozesse die diese generieren, abrufen und manipulieren. Das Spannungsfeld zwischen der scheinbar einfachen formalen Struktur dieses Aufgabenbereichs und den Schwierigkeiten, die Kinder bei seiner Bewältigung haben, stellt einen einzigartigen Zugang zum Studium kognitiver Prozesse dar. Der vorliegende Beitrag präsentiert einen Erklärungsansatz der zentralen Befunde des Forschungsgebietes auf der Grundlage eines ACT-R Modells zur Lebenszeit-Simulation des Erwerbs arithmetischen Wissens. Die Anwendung der Bayesischen Lernmechanismen der ACT-R Architektur zeigen auf, wie sich diese Befunde auf die statistische Struktur des Aufgabengebiets zurückführen lassen. Aus den präzisen Vorhersagen der Simulation werden sowohl Hinweise zur Vermittlung arithmetischen Wissens abgeleitet als auch Erkenntnisse über die Architektur ACT-R selbst gewonnen. Im Rahmen einer formalen Analyse wird gezeigt, daß sich die vorgestellte Simulation als dynamisches System betrachten läßt, dessen Lernergebnis unmittelbar von Parametern der Architektur abhängt. Eine Untersuchung der Sensitivität der Parameter der Simulation belegt, daß die Werte, die zur besten Anpassung an die empirischen Daten führen, auch eine in einer optimalen Performanz resultieren. Die Implikationen dieses Ergebnis für die grundlegende Adaptivität menschlicher Kognition werden diskutiert. Abstract. Cognitive arithmetic studies the mental representation of numbers and arithmetic facts and the processes that create, access, and manipulate them. The contradiction between the apparent straightforwardness of its exact formal structure and the difficulties that every child faces in mastering it provides an important window into human cognition. An ACT-R model is proposed which accounts for the central results of the field through a single simulation of a lifetime of arithmetic learning. The use of the architecture's Bayesian learning mechanisms explains how these effects arise from the statistics of the task. Because of the precise predictions of the simulation, a number of lessons are derived concerning the teaching of arithmetic and the ACT-R architecture itself. A formal analysis establishes that the simulation can be viewed as a dynamical system whose ultimate learning outcome is fundamentally dependent upon some architectural parameters. Finally, an empirical study of the sensitivity of the simulation to its parameters determines that the values that yield the best fit to the data also provide optimal performance. The implications of these findings for the fundamental adaptivity of human cognition are discussed.     

Introduction to the special section on aging, cognition, and neuroimaging

In response to the recent increase in the number of laboratories engaged in the use of functional and structural neuroimaging to study cognitive aging, this special section has been compiled to serve as an entry into this area for the readers of Psychology and Aging. These articles are representative of the field and cover many of the issues faced by researchers in this area. This introduction presents some background into the techniques that are used and provides an overview of the articles.