The Logic of Pragmatic Truth

The mathematical concept of pragmatic truth, first introduced in Mikenberg, da Costa and Chuaqui (1986), has received in the last few years several applications in logic and the philosophy of science. In this paper, we study the logic of pragmatic truth, and show that there are important connections between this logic, modal logic and, in particular, Jaskowski's discussive logic. In order to do so, two systems are put forward so that the notions of pragmatic validity and pragmatic truth can be accommodated. One of the main results of this paper is that the logic of pragmatic truth is paraconsistent. The philosophical import of this result, which justifies the application of pragmatic truth to inconsistent settings, is also discussed.     

A note on the factor analysis of partial covariance matrices

A relationship is given between the joint common factor structure of two sets of variables, and the factor structure of the partial covariance matrix of one of the sets with the other partialled out.     

A study of algorithms for covariance structure analysis with specific comparisons using factor analysis

Several algorithms for covariance structure analysis are considered in addition to the Fletcher-Powell algorithm. These include the Gauss-Newton, Newton-Raphson, Fisher Scoring, and Fletcher-Reeves algorithms. Two methods of estimation are considered, maximum likelihood and weighted least squares. It is shown that the Gauss-Newton algorithm which in standard form produces weighted least squares estimates can, in iteratively reweighted form, produce maximum likelihood estimates as well. Previously unavailable standard error estimates to be used in conjunction with the Fletcher-Reeves algorithm are derived. Finally all the algorithms are applied to a number of maximum likelihood and weighted least squares factor analysis problems to compare the estimates and the standard errors produced. The algorithms appear to give satisfactory estimates but there are serious discrepancies in the standard errors. Because it is robust to poor starting values, converges rapidly and conveniently produces consistent standard errors for both maximum likelihood and weighted least squares problems, the Gauss-Newton algorithm represents an attractive alternative for at least some covariance structure analyses.Work by the first author has been supported in part by Grant No. Da01070 from the U. S. Public Health Service. Work by the second author has been supported in part by Grant No. MCS 77-02121 from the National Science Foundation.     

A new solution to the problem of finding all numerical solutions to ordered metric structures

A new algorithm is used to test and describe the set of all possible solutions for any linear model of an empirical ordering derived from techniques such as additive conjoint measurement, unfolding theory, general Fechnerian scaling and ordinal multiple regression. The algorithm is computationally faster and numerically superior to previous algorithms.This research was supported in part by NIGMS grant GM-01231 to the University of Michigan. Authors' names are in alphabetic order.     

论春秋邦交的时代特点

春秋邦交的特点,学者多有论及,但均不完善。本文从春秋邦交的主体一一各诸侯国的国家形态人手,对春秋时期各诸侯国在邦交中的地位和独立主权意识进行了探索,认为春秋列国在国家形态方面正处于一个由残缺向完整转变的过渡时期。因此,春秋邦交势必受其影响而具有自己独有的时代特点。     

西方儿童个性结构研究进展

近年来,在儿童个性结构研究领域,基于成人研究基础上建立起来的大五因素受到一定的挑战,此外该研究领域在研究方法方面也取得了一些进展。该文从新近西方儿童的个性结构理论研究、儿童个性结构研究采用的同伴提名法、以及个性结构问卷的跨文化应用等几方面来探讨西方儿童个性结构研究领域的进展,并提出未来研究的设想。     

Adjusting researchers’ approach to adjustment: On the use of covariates when testing interactions

A common design in social psychology involves the use of two independent variables, an experimental manipulation and a measured individual difference, and the interest is in the interaction between them. In such designs, there are often obvious covariate(s), correlated with the measured independent variable, which the researcher wishes to control. Typically this is done by including the covariate in the analytic model. We show that in most cases this is an inadequate model. In general, the interaction between the two independent variables will be estimated without bias only when the interaction between the covariate and the manipulated independent variable is included in the analysis. We present simulations showing the factors affecting the magnitude of the bias and provide a survey of recent social psychological literature illustrating the frequency of the problem. Finally, we discuss cases where both independent variables are manipulated and the covariate is a potential mediator.     

The Substantive Impact of Computers on Philosophy Prolegomena to a Computational and Information-Theoretic Metaphysics

I survey in this article the practical uses of computers in philosophy: except for logic, computers have not yet noticeably improved the quality of philosophizing, research, or pedagogy. They have made work easier. My main interest, however, is in the "substantive" impact that computers may have on philosophical problems, especially in metaphysics. I argue that logic, the notion of decidability, and the theory of computation all predated and did not require modern digital computers. In the philosophy of mind, there has been a persistent conflation of computationalism and physicalism. The two theses can and should be separated. Finally, I suggest that we see glimpses of a new metaphysics based on information and information transformations that goes far beyond the well-trodden mind-brain debates.     

Book Reviews

Books reviewed:
George E. Marcus, W. Russell Newman, and Michael MacKuen, Affective Intelligence and Political Judgment
Micha Popper, Hypnotic Leadership:Leaders, Followers, and the Loss of Self
James W. Davis, Jr., Threats and Promises: The Pursuit of International Influence
Mark R. Warren, Dry Bones Rattling: Community Building to Revitalize American Democracy
Tali Mendelberg, The Race Card: Campaign Strategy, Implicit Messages, and the Norm of Equality     

Reasoning with Slippery Predicates

It is a commonplace that the extensions of most, perhaps all, vague predicates vary with such features as comparison class and paradigm and contrasting cases. My view proposes another, more pervasive contextual parameter. Vague predicates exhibit what I call open texture: in some circumstances, competent speakers can go either way in the borderline region. The shifting extension and anti-extensions of vague predicates are tracked by what David Lewis calls the “conversational score”, and are regulated by what Kit Fine calls penumbral connections, including a principle of tolerance. As I see it, vague predicates are response-dependent, or, better, judgement-dependent, at least in their borderline regions. This raises questions concerning how one reasons with such predicates. In this paper, I present a model theory for vague predicates, so construed. It is based on an overall supervaluationist-style framework, and it invokes analogues of Kripke structures for intuitionistic logic. I argue that the system captures, or at least nicely models, how one ought to reason with the shifting extensions (and anti-extensions) of vague predicates, as borderline cases are called and retracted in the course of a conversation. The model theory is illustrated with a forced march sorites series, and also with a thought experiment in which vague predicates interact with so-called future contingents. I show how to define various connectives and quantifiers in the language of the system, and how to express various penumbral connections and the principle of tolerance. The project fits into one of the topics of this special issue. In the course of reasoning, even with the external context held fixed, it is uncertain what the future extension of the vague predicates will be. Yet we still manage to reason with them. The system is based on that developed, more fully, in my Vagueness in Context, Oxford, Oxford University Press, 2006, but some criticisms and replies to critics are incorporated.