Otto Neurath on the Structure of Protocol Sentences; A New Approach to an Interpretative Puzzle

Summary  Otto Neurath’s thesis concerning the structure of protocol sentences is central to the famous Protocol Sentence Debate in the Vienna Circle. However, its precise nature is far from easy to discern in Neurath’s writings. So far, only Thomas Uebel has attempted a closer analysis of Neurath’s contribution to the debate. I argue that Uebel’s interpretation is problematic in some respects and propose a novel analysis, which hopefully brings into a clearer light Neurath’s position in the Protocol Sentence Debate as well as his relevance to contemporary philosophies of science.     

A comparison of prompting methods to teach sight words to students with autism spectrum disorder

Time delay procedures are one of the most commonly used and effective strategies for teaching sight words to learners with disabilities. However, less is known about whether they are differentially effective and efficient with learners. This study compared the effectiveness and efficiency of progressive time delay and simultaneous prompting on sight word acquisition among three learners with autism spectrum disorder using an adapted alternating treatments design across word sets. For two participants, both procedures led to skill acquisition with no clear differences in efficiency. For the remaining participant, neither procedure was effective; therefore, the reading task was changed to a receptive one, and a stimulus fading intervention package was implemented.     

Protocol analysis of the correspondence of verbal behavior and equivalence class formation.

In two equivalence experiments, a "think aloud" procedure modeled after Ericsson and Simon's (1980) protocol analysis was implemented to examine subjects' covert verbal responses during matching to sample. The purpose was to identify variables that might explain individual differences in equivalence class formation. The results from Experiment 1 suggested that subjects who formed equivalence classes described the relations among stimuli, whereas those not showing equivalence described sample and comparison stimuli as unitary compounds. Because Experiment 1 only demonstrated a correlation between describing stimulus compounds and the absence of equivalence classes, a second study was conducted. In Experiment 2, equivalence class formation was brought under experimental control through pretraining manipulations that facilitated responding either to stimulus compounds or to relations among stimuli. The results demonstrated that a history of describing stimulus compounds, when compared with describing the relations among the stimuli, interfered with the emergence of stimulus equivalence. These findings clarify individual differences in stimulus equivalence. They also demonstrate the utility of analyzing verbal reports to identify possible variables that can be manipulated experimentally.     

Multivariate analysis with linearizable regressions

We study the class of multivariate distributions in which all bivariate regressions can be linearized by separate transformation of each of the variables. This class seems more realistic than the multivariate normal or the elliptical distributions, and at the same time its study allows us to combine the results from multivariate analysis with optimal scaling and classical multivariate analysis. In particular a two-stage procedure which first scales the variables optimally, and then fits a simultaneous equations model, is studied in detail and is shown to have some desirable properties.     

The Logic of Quantum Measurements in terms of Conditional Events

This paper shows that the non-Boolean logic of quantum measurementsis more naturally represented by a relatively new 4-operationsystem of Boolean fractions—conditional events—thanby the standard representation using Hilbert Space. After therequirements of quantum mechanics and the properties of conditionalevent algebra are introduced, the quantum concepts of orthogonality,completeness, simultaneous verifiability, logical operations,and deductions are expressed in terms of conditional eventsthereby demonstrating the adequacy and efficacy of this formulation.Since conditional event algebra is nearly Boolean and consistsmerely of ordered pairs of standard events or propositions,quantum events and the so-called "superpositions" of statesneed not be mysterious, and are here fully explicated. Conditionalevent algebra nicely explains these non-standard "superpositions"of quantum states as conjunctions or disjunctions of conditionalevents, Boolean fractions, but does not address the so-called"entanglement phenomena" of quantum mechanics, which remainphysically mysterious. Nevertheless, separating the latter phenomenafrom superposition issues adds clarity to the interpretationof quantum entanglement, the phenomenon of influence propagatedat faster than light speeds. With such treacherous possibilitiespresent in all quantum situations, an observer has every reasonto be completely explicit about the environmental–instrumentalconfiguration, the conditions present when attempting quantummeasurements. Conditional event algebra allows such explicationwithout the physical and algebraic remoteness of Hilbert space.     

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.     

Language transfer and blocking in second language vocabulary learning

The influence of different vocabulary instructional techniques upon the acquisition of different language words was examined in two experiments. In Experiment 1, comparisons were made between the learning of Chinese and French words employing both paired-associate presentations and spacing procedures. The results supported the view that language transfer affects the acquisition of second language words, with more French words being learned than Chinese words. The superiority of the spacing procedure over the paired-associate presentation found in these results suggested that the spacing method diminished the adverse effects of blocking and thus enhanced learning. However, no significant interaction between the teaching procedures and different language words was detected. That is, under the spacing procedure, greater improvement in learning of Chinese words was not found. The experiment was thus modified by substituting the spacing procedure with aural feedback in Experiment 2. In this experiment, a significant interaction between these two factors was detected. That is, the recall for French was more than Chinese in the paired-associate condition, however, under the aural feedback, performance in Chinese was statistically equivalent to that in French. Hence, these findings may contradict the prediction of language transfer. It appears that the phenomenon of language transfer may be far less important in vocabulary learning than the use of a method of instruction which neutralises the negative effects of blocking.     

The effect of aural feedback in second language vocabulary learning

We examined instructional procedures in the teaching of second language vocabulary, using a paired-associate paradigm. Four presentation methods were investigated, including simultaneous standard, simultaneous reversal, aural feedback, and visual feedback. The study involved 16 grade 7 school children as subjects. Subjects were tested on 28 second language words during the post-test stage. Orthogonal comparisons were carried out for the obtained data. The two feedback conditions proved to be the most beneficial and the more favourable out of these was the aural feedback condition. Also, reversing the two inputs proved to be better than the conventional paired-associate (e.g. presenting the second language word first with the first language word second). Based on the results of this study, it is advocated that the feedback procedures, in particular, be used in second language learning with aural feedback replacing visual feedback.     

中转站系统框架的心理学研究

通过总结人类问题求解的特点,我们提出了问题求解的一种中转站系统框架。本文采用口语报告分析所进行的研究表明该框架是一种问题求解方面的知识结构和有效的启发式求解策略。实验证明了次序性、熟悉性、类似性和系统控制性是决定求解能力和效率的关键因素。说明了中转站及其排序、强规则和弱规则及其相互配合、以及中转站系统的控制策略在较大程度上反映和模拟了人在求解复杂的专门问题时的知识结构和控制过程。