Can the output of human cognition be predicted from the assumption that it is an optimal response to the information-processing demands of the environment? A methodology called rational analysis is described for deriving predictions about cognitive phenomena using optimization assumptions. The predictions flow from the statistical structure of the environment and not the assumed structure of the mind. Bayesian inference is used, assuming that people start with a weak prior model of the world which they integrate with experience to develop (...) stronger models of specific aspects of the world. Cognitive performance maximizes the difference between the expected gain and cost of mental effort. Memory performance can be predicted on the assumption that retrieval seeks a maximal trade-off between the probability of finding the relevant memories and the effort required to do so; in categorization performance there is a similar trade-off between accuracy in predicting object features and the cost of hypothesis formation; in casual inference the trade-off is between accuracy in predicting future events and the cost of hypothesis formation; and in problem solving it is between the probability of achieving goals and the cost of both external and mental problem-solving search. The implemention of these rational prescriptions in neurally plausible architecture is also discussed. (shrink)

The appropriate methodology for psychological research depends on whether one is studying mental algorithms or their implementation. Mental algorithms are abstract specifications of the steps taken by procedures that run in the mind. Implementational issues concern the speed and reliability of these procedures. The algorithmic level can be explored only by studying across-task variation. This contrasts with psychology's dominant methodology of looking for within-task generalities, which is appropriate only for studying implementational issues.The implementation-algorithm distinction is related to a number of (...) other “levels” considered in cognitive science. Its realization in Anderson's ACT theory of cognition is discussed. Research at the algorithmic level is more promising because it is hard to make further fundamental scientific progress at the implementational level with the methodologies available. Protocol data, which are appropriate only for algorithm-level theories, provide a richer source than data at the implementational level. Research at the algorithmic level will also yield more insight into fundamental properties of human knowledge because it is the level at which significant learning transitions are defined.The best way to study the algorithmic level is to look for differential learning outcomes in pedagogical experiments that manipulate instructional experience. This provides control and prediction in realistically complex learning situations. The intelligent tutoring paradigm provides a particularly fruitful way to implement such experiments.The implications of this analysis for the issue of modularity of mind, the status of language, research on human/computer interaction, and connectionist models are also examined. (shrink)

Much of cognitive psychology focuses on effects measured in tens of milliseconds while significant educational outcomes take tens of hours to achieve. The task of bridging this gap is analyzed in terms of Newell's (1990) bands of cognition—the Biological, Cognitive, Rational, and Social Bands. The 10 millisecond effects reside in his Biological Band while the significant learning outcomes reside in his Social Band. The paper assesses three theses: The Decomposition Thesis claims that learning occurring at the Social Band can be (...) reduced to learning occurring at lower bands. The Relevance Thesis claims that instructional outcomes at the Social Band can be improved by paying attention to cognition at the lower bands. The Modeling Thesis claims that cognitive modeling provides a basis for bridging between events on the small scale and desired outcomes on the large scale. The unit-task level, at the boundary of the Cognitive and Rational Bands, is useful for assessing these theses. There is good evidence for all three theses in efforts that bridge from the unit-task level to educational applications. While there is evidence for the Decomposition Thesis all the way down to the 10 millisecond level, more work needs to be done to establish the Relevance Thesis and particularly the Modeling Thesis at the lower levels. (shrink)

LAS is a program that acquires augmented transition network (ATN) grammars. It requires as data sentences of the language and semantic network representatives of their meaning. In acquiring the ATN grammars, it induces the word classes of the language, the rules of formation for sentences, and the rules mapping sentences onto meaning. The induced ATN grammar can be used both for sentence generation and sentence comprehension. Critical to the performance of the program are assumptions that it makes about the relation (...) between sentence structure and surface structure (the graph deformation condition), about when word classes may be formed and when ATN networks may be merged, and about the structure of noun phrases. These assumptions seem to be good heuristics which are largely true for natural languages although they would not be true for many nonnatural languages. Provided these assumptions are satisfied LAS seems capable of learning any context‐free language. (shrink)

In Bergson and Intensive Magnitude: Dismantling his Critique, Florian Vermeiren argues that Bergson’s critique of intensive magnitude in Time and Free Will is inconsistent with his later philosophy, and even inconsistent with the role of a “difference in degrees of freedom” in Time and Free Will. I argue that it is rather Vermeiren’s analysis which mischaracterizes Bergson’s critique and therefore the interpretation of an inconsistency cannot stand. In the first two sections I reevaluate Bergson’s critique, showing what, according to Bergson, (...) are the good and bad senses of intensity, and how this critique allowed Bergson to institute a new conception of difference as expressed in concrete continuity. In the final section I examine the importance of infinitesimal thought in Bergson’s good sense of intensity. (shrink)

An analysis of student learning with the LISP tutor indicates that while LISP is complex, learning it is simple. The key to factoring out the complexity of LISP is to monitor the learning of the 500 productions in the LISP tutor which describe the programming skill. The learning of these productions follows the power‐law learning curve typical of skill acquisition. There is transfer from other programming experience to the extent that this programming experience involves the same productions. Subjects appear to (...) differ only on the general dimensions of how well they acquire the productions and how well they retain the productions. Instructional manipulations such as remediation, content of feedback, and timing of feedback are effective to the extent they give students more practice programming, and explain to students why correct solutions work. (shrink)

Social conditions of race and class continue to combine in ways that raise systemic questions about the adequacy and legitimacy of liberal, capitalist democracy in America. More radical alternatives, however, are still generally held to be irrelevant in the American context. The following is an effort to correct this widespread misrepresentation of socialism’s relevance to America generally, and to matters of race in particular. I consider the work of C.L.R. James who, fifty years ago, developed a class-oriented, explicitly Marxist theory (...) in which the aspirations and struggles of African-Americans were given a central place, both analytically and politically. (shrink)

Apart from the predictable end-of-the-century tendency to look backwards in time, it is not surprising that much commentary on contemporary American politics has taken on a reflective tone as we approach the end of the 20th century. Unresolved issues of race, class, and culture continue to raise fundamental questions about the legitimacy and functioning of modern liberalism. This is as true today as it was at the beginning of the century when the capitalist social order took on its characteristically modern (...) form in America. Thus, one finds increasing numbers of contemporary academics and activists struggling to understand from whence we have come so as to provide insight and guidance for the future. (shrink)

Memory should make more available things that are more likely to be needed. Across multiple environmental domains, it has been shown that such a system would match qualitatively the memory effects involving repetition, delay, and spacing (Schooler & Anderson, 2017). To obtain data of sufficient size to study how detailed patterns of past appearance predict probability of being needed again, we examined the patterns with which words appear in large two data sets: tweets from popular sources and comments on popular (...) subreddits. The two data sets show remarkably similar statistics, which are also consistent with earlier, smaller studies of environmental statistics. None of a candidate set of mathematical models of memory do well at predicting the observed patterns in these environments. A new model of human memory based on the environmental model proposed by Anderson and Milson (1989) did better at predicting the environmental data and a wide range of behavioral studies that measure memory availability by probability of recall and speed of retrieval. A critical variable in this model was range, the span of time over which an item occurs, which was discovered in mining the environmental data. These results suggest that theories of memory can be guided by mining of the statistical structure of the environment. (PsycInfo Database Record (c) 2023 APA, all rights reserved). (shrink)

A form of logic called relational and contextual reasoning is put forward as an improvement over other, more familiar types of logic. Developmental ideas are used to show how maturity ordinarily leads people away from binary (true/false) logic to systems of reasoning that are more subtle and better suited to making decisions in the face of ambiguity.

The book Time and Eternity , the English version of Zeit und Ewigkeit , by Antje Jackelén, contains scientific and theological treatments of these two topics, starting with the usage of such ideas in German, Swedish, and English hymns. This essay describes her work and explains how the scientific ideas provide a coherent framework for understanding the place of time.

Karl Schmitz‐Moormann's thought as expressed in his last book exemplifies Catholic theology based on realism, flow, evolution, and free will. Categories of creation are reviewed: from nothing, continuous, called forth, informed, and free.

For the basic areas of physics‐classical mechanics, classical field theories, and quantum mechanics‐there are local dynamical theories that offer complete descriptions of systems when the proper subsidiary conditions also are provided. For all these cases there are global theories from which the local theories can be derived. Symmetries and their relation to conservation laws are reviewed. The standard model of elementary particles is mentioned, along with frontier questions about them. A case against reductionism in physics is presented.

Cosmology, the study of the universe, has a past, which is reviewed here. The standard model—the Big Bang, or the hot, dense early universe that is still expanding—is based on observations that are basically consistent but which require additional input to improve the agreement. Out of the early universe came the galaxies and stars that shine today. The future of the universe depends on the density of matter: too much mass leads to the Big Crunch; too little leads to eternal (...) expans ion and cooling. The dark‐matter problem prevents us from knowing which will be the fate of the universe. Thelimits of what may be called “scientific” are addressed. (shrink)

The often esoteric nature of dialogues about "consciousness" which take place in academic circles stands far removed from treatments of the same topic in lower division college classrooms. There, any detailed discussion of the various definitions which have been advanced for this term is likely to lead to frustration on the part of students who have not yet attained the requisite knowledge for appreciating this divergence of opinions. When teaching classes to introductory students, instructors can provide opportunities for students to (...) appreciate the diversity of their own experiences in addition to using more traditional pedagogic methods. In this paper, the author will describe several of the techniques which he has found useful in opening students up to the various panoramas within their minds. (shrink)

The Gateway to Inner Space: Sacred Plants, Mysticism and Psychotherapy. Festschrift in Honor of Albert Hofmann. edited by Christian Rätsch, Bridport and Dorset, England: Prism Press. 1989. 258 pp. ISBN 1‐85327‐037‐7. $10.95 (paper).

The Nature of Shamanism: Substance and Function of. Religious Metaphor. Michael Ripinsky‐Naxon. Albany: State University of New York Press, 1993. xi. 289 pp. $19.95 (paper). $59.50 (cloth).

The metric known to be relevant for standard quantization procedures receives a natural interpretation and its explicit use simultaneously gives both physical and mathematical meaning to a (coherent-state) phase-space path integral, and at the same time establishes a fully satisfactory, geometric procedure of quantization.