Naming and Diagonalization, from Cantor to Godel to Kleene

We trace self-reference phenomena to the possibility of namingfunctions by names that belong to the domain over which thefunctions are defined. A naming system is a structure of theform (D, type( ),{ }), where D is a non-empty set; for everya D, which is a name of a k-ary function, {a}: D^k D is thefunction named by a, and type(a) is the type of a, which tellsus if a is a name and, if it is, the arity of the named function.Under quite general conditions we get a fixed point theorem,whose special cases include the fixed point theorem underlyingGödel's proof, Kleene's recursion theorem and many othertheorems of this nature, including the solution to simultaneousfixed point equations. Partial functions are accommodated byincluding "undefined" values; we investigate different systemsarising out of different ways of dealing with them. Many-sortednaming systems are suggested as a natural approach to generalcomputatability with many data types over arbitrary structures.The first part of the paper is a historical reconstruction ofthe way Gödel probably derived his proof from Cantor'sdiagonalization, through the semantic version of Richard. Theincompleteness proof–including the fixed point construction–resultfrom a natural line of thought, thereby dispelling the appearanceof a "magic trick". The analysis goes on to show how Kleene'srecursion theorem is obtained along the same lines.     

Age of acquisition effects in picture naming: evidence for a lexical-semantic competition hypothesis

In many tasks the effects of frequency and age of acquisition (AoA) on reaction latencies are similar in size. However, in picture naming the AoA-effect is often significantly larger than expected on the basis of the frequency-effect. Previous explanations of this frequency-independent AoA-effect have attributed it to the organisation of the semantic system or to the way phonological word forms are stored in the mental lexicon. Using a semantic blocking paradigm, we show that semantic context effects on naming latencies are more pronounced for late-acquired than for early-acquired words. This interaction between AoA and naming context is likely to arise during lexical-semantic encoding, which we put forward as the locus for the frequency-independent AoA-effect.     

Naming and categorization in young children: III. Vocal tact training and transfer of function

Following pretraining with everyday objects, 10 children aged from 1 to 4 years were given common vocal tact training with a set of three pairs of arbitrary stimuli of differing shapes; Set 1. Nine children learned to tact one stimulus as "zog" and the other as "vek" in each pair, and all passed subsequent pairwise tests for the corresponding listener behavior to each listener stimulus (i.e., /zog/ and /vek/, respectively). The children were next trained to clap to one stimulus of Pair 1 and wave to the other, and all then showed name-consistent transfer of these behaviors to the stimuli of Pair 2 and Pair 3. Seven children also were given a test of listener responding to experimenter-modeled clap and wave gestures, respectively, which they all passed. Four of the children next participated in a category match-to-sample test for the Set 1 stimuli; all 4 passed. For each pair of two additional six-stimuli sets, Set 2 and Set 3, 3 children were trained to wave to one stimulus and to clap to the other. For each set, all 3 children showed perfect transfer of the vocal tacts trained to Set 1, and of listener behavior both to the auditory stimuli /zog/ and /vek/ and to experimenter-modeled clap and wave gestures. They also sorted the stimuli perfectly in category match-to-sample tests for Set 2, Sets 1 and 2 combined, Set 3, and Sets 1, 2, and 3 combined. The results show that even in very young children, naming is a powerful means of generating new category relations among as many as 18 arbitrary stimuli.     

语音与词义激活的相对时间进程:来自儿童发展的证据

本研究从儿童语言发展的角度．在已有研究基础上．进一步考察了汉语视觉字词加工中语音与词义激活的相对时间进程。运用启动命名技术,比较了三年级和六年级儿童在语音和语义启动中的表现。结果发现,三年级和六年级儿童都有语音和语义启动效应,且六年级儿童更为显著。但语义启动和同音启动的促进效应之间没有差异,而同音不同声调启动则可能产生抑制作用。文章探讨了这些发现对汉语视觉字词加工中词义信息提取不同观点的含义。     

词的具体性对词汇识别的影响

采用词汇判断法、命名法两种方法考察词的具体性特征对词汇识别的影响。结果表明：（１）两种任务中都存在着词的具体性效应;（２）词的具体性效应只表现在高频词中。作者给出了可能的解释并认为词汇识别中形、音、义的加工存在着交互作用。     

Development of the understanding of character constancy: Expectations of the behavior of friendly and unfriendly peers

Abstract: This study examines developmental changes in the tendency of young children to form generalized expectations of the behavior of friendly and unfriendly classmates in their nursery school. Subjects aged 4, 5, and 6 selected friendly, unfriendly, and neutral peers according to their expected behavior in a particular situation and then predicted the peers' behavior in four situations, one of which was similar to that used in the selection process. It was found that at the age of 4 the expectations of the behavior of unfriendly peers differed from those of the behavior of the other peers, and that by the age of 5 the expectations of the behavior of friendly peers were fairly consistent across different situations. Additionally, the results agreed with our hypothesis that younger children's expectations regarding their peers' behavior toward them are more stable and congruous with the peers' character type than those toward an imaginary friend, as far as the expectations of unfriendly peers' behavior is concerned.     

NAMING,THE FORMATION OF STIMULUS CLASSES,AND APPLIED BEHAVIOR ANALYSIS

The methods used in Sidman's original studies on equivalence classes provide a framework for analyzing functional verbal behavior. Sidman and others have shown how teaching receptive, name-referent matching may produce rudimentary oral reading and word comprehension skills. Eikeseth and Smith (1992) have extended these findings by showing that children with autism may acquire equivalence classes after learning to supply a common oral name to each stimulus in a potential class. A stimulus class analysis suggests ways to examine (a) the problem of programming generalization from teaching situations to other environments, (b) the expansion of the repertoires that occur in those settings, and (c) the use of naming to facilitate these forms of generalization. Such research will help to clarify and extend Horne and Lowe's recent (1996) account of the role of verbal behavior in the formation of stimulus classes.     

On the origins of naming and other symbolic behavior

We identify naming as the basic unit of verbal behavior, describe the conditions under which it is learned, and outline its crucial role in the development of stimulus classes and, hence, of symbolic behavior. Drawing upon B. F. Skinner's functional analysis and the theoretical work of G. H. Mead and L. S. Vygotsky, we chart how a child, through learning listener behavior and then echoic responding, learns bidirectional relations between classes of objects or events and his or her own speaker-listener behavior, thus acquiring naming-a higher order behavioral relation. Once established, the bidirectionality incorporated in naming extends across behavior classes such as those identified by Skinner as the mand, tact, and intraverbal so that each becomes a variant of the name relation. We indicate how our account informs the specification of rule-governed behavior and provides the basis for an experimental analysis of symbolic behavior. Furthermore, because naming is both evoked by, and itself evokes, classes of events it brings about new or emergent behavior such as that reported in studies of stimulus equivalence. This account is supported by data from a wide range of match-to-sample studies that also provide evidence that stimulus equivalence in humans is not a unitary phenomenon but the outcome of a number of different types of naming behavior.     

Finding one's way home: Notes on the texture of moral experience

In this article, I seek to illuminate the texture of moral experience. I pursue that aim through a close reading of David Lean's film, Brief Encounter, produced in 1946. The chief protagonist in the film undergoes a moral odyssey that reveals and tests all that she has understood about how to conduct a life. Her experience sheds light on the constituents of an individual moral sensibility as well as how its enactment appears in practice when one confronts a heartfelt difficulty. I argue that moral experience is best understood through the idiom of narrative and character, rather than through ethical language that places formal or universal principle at the center of the moral life. In the workshop of the moral self, as Lean's protagonist reveals, the task is not to fashion or take on universal principles but rather to cultivate virtuous relations with other people in the here-and-now.     

在汉字视觉识别中字形和字音作用的实验研究

对高、低频汉字分别进行音同、形似、义近和无关四种条件下的目标字的启动识别和倒掩蔽识别的研究,考察汉字视觉识别中字音、字形的激活和激活点问题。结果证实：（１）在汉字识党识别中,字形不仅参与而且在到达心理词典之前被激活;（２）在汉字视觉识别中字音也参与,但字音不在到达心理词典之前被激活,因而,不存在语音转录现象．汉字视觉识别过程符合“直通假设”;（３）从总的来看,字颇影响汉字视觉识别。