The ‘Platforms’ for Comparing Incommensurable Taxonomies: A Cognitive-Historical Analysis

This paper examines taxonomy comparison from a cognitive perspective. Arguments are developed by drawing on the results of cognitive psychology, which reveal the cognitive mechanisms behind the practice of taxonomy comparison. The taxonomic change in 19th-century ornithology is also used to uncover the historical practice that ornithologists employed in the revision of the classification of birds. On the basis of cognitive and historical analyses, I argue that incommensurable taxonomies can be compared rationally. Using a frame model to represent taxonomy, I show how rational comparisons were achieved in the historical case through compatible contrast sets and attribute lists. Through analyzing the cognitive processes of classification and concept representation, I further explain how rival taxonomies in the historical case could be rationally compared on ‘platforms’ rooted in such cognitive mechanisms as relational assumptions and preferences for body parts in conceptual processing. This revised version was published online in August 2006 with corrections to the Cover Date.     

Typical and atypical development of basic numerical skills in elementary school

Deficits in basic numerical processing have been identified as a central and potentially causal problem in developmental dyscalculia; however, so far not much is known about the typical and atypical development of such skills. This study assessed basic number skills cross-sectionally in 262 typically developing and 51 dyscalculic children in Grades 2, 3, and 4. Findings indicate that the efficiency of number processing improves over time and that dyscalculic children are generally less efficient than children with typical development. For children with typical arithmetic development, robust effects of numerical distance, size congruity, and compatibility of ten and unit digits in two-digit numbers could be identified as early as the end of Grade 2. Only the distance effect for comparing symbolic representations of numerosities changed developmentally. Dyscalculic children did not show a size congruity effect but showed a more marked compatibility effect for two-digit numbers. We did not find strong evidence that dyscalculic children process numbers qualitatively differently from children with typical arithmetic development.     

LINNAEUS AS A SECOND ADAM? TAXONOMY AND THE RELIGIOUS VOCATION

Swedish naturalist Carl von Linné (1707–1778) became known during his lifetime as a “second Adam” because of his taxonomic endeavors. The significance of this epithet was that in Genesis Adam was reported to have named the beasts—an episode that was usually interpreted to mean that Adam possessed a scientific knowledge of nature and a perfect taxonomy. Linnaeus's soubriquet exemplifies the way in which the Genesis narratives of creation were used in the early modern period to give religious legitimacy to scientific activities and to taxonomy in particular. Allusions to Adam's work in the Garden of Eden thus became a way of investing the vocation of the naturalist with religious significance.     

The aggression test as a possible taxonomic tool in the Formica rufa group

The intra- and interspecific aggressive behavior of Formica polyctena, a species of the Formica rufa group, was analyzed and quantified both in the laboratory and in the field. This behavior was used as a potential taxonomic tool for gaining a better understanding of the phyletic relationships among the species within the group. No overt aggression was recorded toward members of the same species. To examine interspecific relationships, F. polyctena was first confronted with F. cunicularia, to ascertain its aggressiveness toward a distantly related species. All such encounters led immediately to overt and prolonged attacks with virtually no initial mutual inspection. This suggests that recognition of strangeness of the unrelated species is almost immediate in F. polyctena, as previously observed in F. lugubris and F. rufa toward the same antagonist. Subsequently, F. polyctena was contrasted with F. lugubris and F. rufa (also belonging to the F. rufa group) in order to compare these related species. Fierce attacks accompanied by all the elements of conflict behavior were observed in all encounters. Moreover, the degree of aggression in the field was higher than in laboratory-paired ants, possibly because of a territorial effect. These data and our previous and similar research indicate that the relationships between F. lugubris and F. rufa are closer than between these two species and F. polyctena. In considering different viewpoints on this problem, the validity of the aggression test is discussed and the opportunity to compare levels of aggressiveness among strictly sympatric samples of red wood ant species gathered from the same ecological environment are considered.     

数字记忆广度对策略应用模式的影响──中美儿童计算能力差异的比较研究

本研究旨在了解中美儿童在策略运用模式上的差异是否与数字记忆广度有关。为此,分别测验了中美幼儿园儿童的加法技能,数字记忆广度,并通过一组计算机呈现的加法作业评估儿童使用的解题策略。结果表明,中国儿童的基本算术技能和数学记忆广度均超过同龄的美国儿童。在解题时,中国儿童多使用效率较高的言语计算策略,美国儿童则多采用计数手指策略,在言语计数策略和检索策略的加工速度上中国儿童也超过美国儿童。相关分析表明．策略应用模式的文化差异与数字记忆广度有关。比较大的工作记忆容量增加了数字线索可利用的资源,为儿童早期言语计数能力的发展提供了有利条件。     

A taxonomy of approaches to teach spelling

This paper presents a comprehensive taxonomy for classifying major approaches to teach spelling. The Traditional Approach is based on linguistic theory, and is predicated on the assumption that there is regularity to the spelling of words in the English language. Many commercially-based spelling programs use the Traditional Approach. The Remedial Approach can be divided into four subcategories, two of which employ multisensory methods. Horn's remedial method combines elements of visualization, pronunciation, and spelling recall, whereas the phonovisual method is phonetically based, and stresses visual and auditory discrimination of letter sounds. Methods under the Specialized Approach can be considered discrete spelling interventions based on applied behavior analysis, direct instruction, spelling rules, cognitive behavior modification, peer tutoring, or computer applications. The authors' position is that the Specialized Approach offers the optimum combination of instructional efficiency and effectiveness consistent with the concept of the least restrictive alternative. We believe that self-correction is the best exemplar of this approach.     

The Impossibility of Local Skepticism

According to global skepticism, we know nothing. According to local skepticism, we know nothing in some particular area or domain of discourse. Unlike their global counterparts, local skeptics think they can contain our invincible ignorance within limited bounds. I argue that they are mistaken. Local skepticism, particularly the kinds that most often get defended, cannot stay local: if there are domains whose truths we cannot know, then there must be claims outside those domains that we cannot know even if they are true. My argument focuses on one popular form of local skepticism, ethical skepticism, but I believe that the argument generalizes to cover other forms as well.

Preschoolers prior formal mathematics education engage numerical magnitude representation rather than counting principles in symbolic ±1 arithmetic: Evidence from the operational momentum effect

In numerical cognition research, the operational momentum (OM) phenomenon (tendency to overestimate the results of addition and/or binding addition to the right side and underestimating subtraction and/or binding it to the left side) can help illuminate the most basic representations and processes of mental arithmetic and their development. This study is the first to demonstrate OM in symbolic arithmetic in preschoolers. It was modeled on Haman and Lipowska's (2021) non-symbolic arithmetic task, using Arabic numerals instead of visual sets. Seventy-seven children (4–7 years old) who know Arabic numerals and counting principles (CP), but without prior school math education, solved addition and subtraction problems presented as videos with one as the second operand. In principle, such problems may be difficult when involving a non-symbolic approximate number processing system, whereas in symbolic format they can be solved based solely on the successor/predecessor functions and knowledge of numerical orders, without reference to representation of numerical magnitudes. Nevertheless, participants made systematic errors, in particular, overestimating results of addition in line with the typical OM tendency. Moreover, subtraction and addition induced longer response times when primed with left- and right-directed movement, respectively, which corresponds to the reversed spatial form of OM. These results largely replicate those of non-symbolic task and show that children at early stages of mastering symbolic arithmetic may rely on numerical magnitude processing and spatial-numerical associations rather than newly-mastered CP and the concept of an exact number.     

An algorithm for generating artificial test clusters

An algorithm for generating artificial data sets which contain distinct nonoverlapping clusters is presented. The algorithm is useful for generating test data sets for Monte Carlo validation research conducted on clustering methods or statistics. The algorithm generates data sets which contain either 1, 2, 3, 4, or 5 clusters. By default, the data are embedded in either a 4, 6, or 8 dimensional space. Three different patterns for assigning the points to the clusters are provided. One pattern assigns the points equally to the clusters while the remaining two schemes produce clusters of unequal sizes. Finally, a number of methods for introducing error in the data have been incorporated in the algorithm.     

The SNARC effect in the processing of second-language number words: Further evidence for strong lexico-semantic connections

We present new evidence that word translation involves semantic mediation. It has been shown that participants react faster to small numbers with their left hand and to large numbers with their right hand. This SNARC (spatial-numerical association of response codes) effect is due to the fact that in Western cultures the semantic number line is oriented from left (small) to right (large). We obtained a SNARC effect when participants had to indicate the parity of second-language (L2) number words, but not when they had to indicate whether L2 number words contained a particular sound. Crucially, the SNARC effect was also obtained in a translation verification task, indicating that this task involved the activation of number magnitude.