The physical factor structure of random forms and their judged complexity

This study relates the perceived complexity of 20 random forms to their physical factor structure. Ten principal axes, accounting for 94 per cent of the total variance of 24 physical measures, were rotated using the Varimax criterion. Factor scores for each form were correlated with the complexity ratings of the forms by each of 11 Ss. A single factor accounted for most of the variance in the complexity ratings. This factor was best described by four physical measures: the number of turns in the form, the length of the perimeter, the perimeter squared to area ratio, and the variance of the internal angles of the form.     

Memory for orientation of forms as a function of their meaningfulness and complexity.

Accuracy of memory for left-right orientation of single figures varying in meaningfulness and complexity was studied in subjects from kindergarten to adulthood. Complexity was an unimportant variable. Orientation of meaningful figures was remembered better than orientation of nonmeaningful figures at all ages. There were no developmental differences in memory for meaningful figures beyond kindergarten, but pronounced developmental differences were found in memory for nonmeaningful figures. It was proposed that a decision to store orientation information is dependent upon a judgment about the meaningfulness of a presented figure, and that young children have more difficulty than adults in finding meaningfulness in unfamiliar forms. The decision to store appears to occur automatically, since there was only a small difference between conditions in which subjects were informed or not informed to remember orientation. It was also suggested that part of the often reported difficulty in remembering diagonal orientation may be due to the symmetry of the diagonal forms typically investigated.     

Model complexity: The fit to random data reconsidered

A recent controversy in the field of depth perception has highlighted an important aspect of model testing concerning a model's complexity, defined as the prior propensity of the model to fit arbitrary data sets. The present article introduces an index of complexity, called the mean minimum distance, defined as the average squared distance between an arbitrary data point and the prediction range of the model. It may also be expressed as a dimensionless quantity called the scaled mean minimum distance. For linear models, theoretical values for the scaled mean minimum distance and the variance of the scaled minimum distance can be readily obtained and compared against empirical estimates obtained from fits to random data. The approach is applied to resolving the question of the relative complexity of the Linear Integration model and the Fuzzy Logic of Perception model, both of which have been the subject of controversy in the field of depth perception. It is concluded that the two models are equally complex. Received: 10 October 1998 / Accepted: 22 December 1998     

复杂性理论及其问题

Complexity theories are on the way to establish a new worldview—processes instead of objects, history and uniqueness of everything instead of repetition and lawlikeness are the elements. These theories from deterministic chaos via the dissipative structures, the theory of catastrophes, self organization and synergetics are mathematical models, connected with a new understanding of science. They are characterized by new fundamental commitments of sciences. But at the same time, they are characterized by epistemic boundaries. During my stay as a visiting professor at Dalian University of Technology in September 2006, I had the opportunity to deliver parts of this paper at North-Eastern University at Shenyang and at Beijing Normal University; a first draft has been presented at the IV. Russian Congress of Philosophy, May 2005, Moscow, and published as congress material as Knowledge and Society, edited by Ilya Kassavine, Moscow: Kanon 2005, 178–189.     

A multidimensional scaling analysis of judged similarity of complex forms from two task situations

Ss provided judgments of pairwise stimulus similarities for 21 12-turn random forms in two experimental tasks: a scaling task, involving a variant of the method of graded dichotomies, and a sorting task, which simply required Ss to categorize the forms. The grouped data from both tasks, when analyzed using nonmetric multidimensional scaling techniques, yielded five-dimensional configurations with euclidean distances. The correspondence of these two spaces, assessed using canonical correlations, was extremely good. The psychological dimensions derived from both tasks were related to two sets of physical measures on the forms: the factor space suggested by Brown and Owen and a set of more basic physical measures. Physical cues of greatest importance involved size, dispersion, angularity, and rotation measures. The value of the tasks and the utility of the Brown and Owen measures were discussed.     

The influence of expertise and of physical complexity on visual short-term memory consolidation

We investigated whether the expertise of a perceiver and the physical complexity of a stimulus influence consolidation of visual short-term memory (VSTM) in a S1-S2 (Stimulus 1-Stimulus 2) change detection task. Consolidation is assumed to make transient perceptual representations in VSTM more durable, and it is investigated by postexposure of a mask shortly after offset of the perceived stimulus (S1; 17 to 483?ms). We presented colours, Chinese characters, pseudocharacters, and novel symbols to novices (Germans) or experts of Chinese language (Chinese readers). Physical complexity was manipulated by the number of strokes. Unfamiliar material was remembered worse than familiar material (Experiments 1, 2, and 3). For novices the absolute VSTM performance was better for physically simple than for complex material, whereas for experts the complexity did not matter-Chinese readers memorized Chinese characters (Experiment 3). Articulatory suppression did not change these effects (Experiment 2). We always observed a strong effect of SOA, but this effect was influenced neither by physical complexity nor by expertise; only the length of the interstimulus interval between S1 and the mask was relevant. This was observed even with short stimulus onset asynchrony (SOA) of 100?ms (Experiment 2) and in comparing colours and characters (Experiment 5). However, masks impaired memory if they were presented at the locations of the to-be-memorized items, but not beside them-that is, interference was location-based (Experiment 6). We explain the effect of SOA by the assumption that it takes time to stop encoding of information presented at item locations with the offset of S1. The increasing resistance against interference by irrelevant material appears as consolidation of S1.     

Visual selection: The effects of number of encodable elements and physical complexity

Attention, Perception, & Psychophysics - Research in the area of visual selection has consistently demonstrated that viewing time increases with the complexity of the stimuli. A theoretical...     

The influence of expertise and of physical complexity on visual short-term memory consolidation

This paper examines controversial claims about the merit of “unconscious thought” for making complex decisions. In four experiments, participants were presented with complex decisions and were asked to choose the best option immediately, after a period of conscious deliberation, or after a period of distraction (said to encourage “unconscious thought processes”). In all experiments the majority of participants chose the option predicted by their own subjective attribute weighting scores, regardless of the mode of thought employed. There was little evidence for the superiority of choices made “unconsciously”, but some evidence that conscious deliberation can lead to better choices. The final experiment suggested that the task is best conceptualized as one involving “online judgement” rather than one in which decisions are made after periods of deliberation or distraction. The results suggest that we should be cautious in accepting the advice to “stop thinking” about complex decisions.     

The modular structure of physical theories

Any advanced theory of physics contains modules defined as essential components that are themselves theories with different domains of application. Different kinds of modules can be distinguished according to the way in which they fit in the symbolic and interpretive apparatus of a theory. The number and kind of the modules of a given theory vary as the theory evolves in time. The relative stability of modules and the variability of their insertion in other theories play a vital role in the application, comparison, construction, and communication of theories. Modularity conveys some global unity to physics through the sharing of modules by diverse theories. This alternative to rigid hierarchies and holistic totalities permits a dynamical, plastic, and symbiotic approach to physical theory.     

The multidimensional structure of physical self-concept

The present study aims to analyze the dimensionality of physical self-concept through confirmatory factor analysis of the AFI questionnaire (Esnaola, 2005; Esnaola & Go?i, 2006) and to compare two models: a) a quadri-dimensional model in which physical self-concept is made up of the sub-domains ability, condition, attractiveness and strength, and, b) a three-factor model in which the items corresponding to ability and condition are grouped together as one factor. The sample consists of 1,259 participants ranging in age from 12 to 84 years old (700 women and 556 men) who were divided into four groups as a function of age: 627 adolescents (12-18 years old), 272 young people (19-30 years old), 248 middle-aged adults (31-49 years old) and 112 people over 55, all living in the Basque Autonomous Region of Spain. The results indicate that the quadri-dimensional model of physical self-concept fits the data better than the three-dimensional model (which showed poor goodness of fit) for the study's total sample, as well as within the male and female sub-samples. Furthermore, the four-factor model was found to be stable throughout adolescence, youth and middle-age, but not for the group of adults over 55.     

Evaluations of subjective complexity,pleasingness and interestingness for a series of random polygons varying in complexity

A series of random-shaped polygons varying in number of sides in approximately even logarithmic steps from four to 160 sides was generated. Ss were required to compare all possible pairs of figures on one of three scales-subjective complexity, pleasingness and interestingness. Subjective evaluations of complexity continued to increase with informational content. Pleasingness evaluations described a bimodal function, peafeing at the 6-sided and 28-sided levels then falling rapidly with increased complexity. Interestingness efaluations rosé to a peafe at the 28-sided figure and remained high throughout the rest of the series.