Rotation to simple loadings using component loss functions: The orthogonal case

Component loss functions (CLFs) are used to generalize the quartimax criterion for orthogonal rotation in factor analysis. These replace the fourth powers of the factor loadings by an arbitrary function of the second powers. Criteria of this form were introduced by a number of authors, primarily Katz and Rohlf (1974) and Rozeboom (1991), but there has been essentially no follow-up to this work. A method so simple, natural, and general deserves to be investigated more completely. A number of theoretical results are derived including the fact that any method using a concave CLF will recover perfect simple structure whenever it exists, and there are methods that will recover Thurstone simple structure whenever it exists. Specific CLFs are identified and it is shown how to compare these using standardized plots. Numerical examples are used to illustrate and compare CLF and other methods. Sorted absolute loading plots are introduced to aid in comparing results and setting parameters for methods that require them.The author is very indebted to a reviewer for pointing him to the generalized hyperplane count literature and to all the reviewers for valuable comments and suggestions.     

Mathematical foundations of consciousness

We employ the Zermelo–Fränkel Axioms that characterize sets as mathematical primitives. The Anti-foundation Axiom plays a significant role in our development, since among other of its features, its replacement for the Axiom of Foundation in the Zermelo–Fränkel Axioms motivates Platonic interpretations. These interpretations also depend on such allied notions for sets as pictures, graphs, decorations, labelings and various mappings that we use. A syntax and semantics of operators acting on sets is developed. Such features enable construction of a theory of non-well-founded sets that we use to frame mathematical foundations of consciousness. To do this we introduce a supplementary axiomatic system that characterizes experience and consciousness as primitives. The new axioms proceed through characterization of so-called consciousness operators. The Russell operator plays a central role and is shown to be one example of a consciousness operator. Neural networks supply striking examples of non-well-founded graphs the decorations of which generate associated sets, each with a Platonic aspect. Employing our foundations, we show how the supervening of consciousness on its neural correlates in the brain enables the framing of a theory of consciousness by applying appropriate consciousness operators to the generated sets in question.     

THE MAGICIAN IN THE WORLD: BECOMING, CREATIVITY, AND TRANSVERSAL COMMUNICATION

This essay interprets the meaning of one of the cards in aTarot deck, "The Magician," in the context of process philosophy in the tradition of Alfred North Whitehead. It brings into the conversation the philosophical legacy of American semiotician Charles Sanders Peirce as well as French poststructuralist Gilles Deleuze. Some of their conceptualizations are explored herein for the purpose of explaining the symbolic function of the Magician in the world. From the perspective of the logic of explanation, the sign of the Magician is an index of nonmechanistic, mutualist or circular, causality that enables self-organization embedded in coordination dynamics. Its action is such as to establish an unorthodox connection crossing over the dualistic gap between mind and matter, science and magic, process and structure, the world without and the world within, subject and object, and human experience and the natural world, thereby overcoming what Whitehead called the paradox of the connectedness of things. The Magician represents a certain quality that acts as a catalytic agent capable of eliciting transmutations, that is, the emergence of novelty. I present a model for process∼structure that uses mathematics on the complex plane and the rules of projective geometry. The corollary is such that the presence of the Magician in the world enables a particular organization of thought that makes pre-cognition possible.     

Principal component analysis with external information on both subjects and variables

A method for structural analysis of multivariate data is proposed that combines features of regression analysis and principal component analysis. In this method, the original data are first decomposed into several components according to external information. The components are then subjected to principal component analysis to explore structures within the components. It is shown that this requires the generalized singular value decomposition of a matrix with certain metric matrices. The numerical method based on the QR decomposition is described, which simplifies the computation considerably. The proposed method includes a number of interesting special cases, whose relations to existing methods are discussed. Examples are given to demonstrate practical uses of the method.The work reported in this paper was supported by grant A6394 from the Natural Sciences and Engineering Research Council of Canada to the first author. Thanks are due to Jim Ramsay, Haruo Yanai, Henk Kiers, and Shizuhiko Nishisato for their insightful comments on earlier versions of this paper. Jim Ramsay, in particular, suggested the use of the QR decomposition, which simplified the presentation of the paper considerably.     

Presence: The Touch Of The Puppet

Using the ideal of the puppet as model and foil, this article looks at ideas about presence, play, animation, and belief. Puppetry’s role as a vital, theatrical form has deep roots in universal, cultural experience, and the notion of an inhering spirit that acts for and through image, idol, toy, or fetish is perhaps the central thread running through all attempts to represent and simulate animate life. Through a discussion of the phenomenology of the puppet—the source of its sensory, aesthetic, and metaphysical power—questions are raised about the projection of desire and purpose onto other transitional things, real and imagined.     

Unconsciously Poisoning the Roots: Psychological Dynamics of the Bible in Jewish/Christian Conflict

The persistence of antisemitism in Christian cultures despite the irrationality and destructiveness of its myths and attitudes has led more than one writer to consider that it may be deeply rooted in psychological dynamics, both individual and social. Likewise, much has been written about how the New Testament writings, especially certain passages in the Gospels, reflect a bitter split between the emerging Christian community and other Jewish groups. Seldom, however, are these two avenues of exploration brought together, asking how psychological mechanisms of defense and the formation of the biblical texts interact. In a recent book, The Jew and Deicide: The Origin of an Archetype (Davis, 2003), psychologist Frederick B. Davis attempted to do just that. Unfortunately, his presentation is deeply flawed by his lack of familiarity with basic New Testament studies and methods. His fundamental premise is sound—that the interplay of the texts, the communities that created them, and their subsequent interpreters evidence psychological dynamics that fuel an ongoing conflict. In this paper, I will suggest how those dynamics were active within the first century Christian community and were expressed in New Testament writings, and how those same dynamics are stimulated in later readers.Paper originally presented March 22, 2004. In D. MacDonald (Chair), New Testament Texts and Traditions. Session conducted at the Western regional meeting of the Society of Biblical Literature, Whittier, CA     

RELIGION AND EMPIRICISM IN THE WORKS OF PETER BERGER

Abstract. Peter Berger established himself in the sociological profession in large part through his functional interpretations of religion and its ostensible demise in relation to the empirical bent of modern intellectual thought. Yet, in his ef–fort to expand the scope of empiricism such that it might address nontrivial concerns, Berger found himself attempting to understand the "substance" of religiori—that is, the conviction that there exists an "other" which confronts us unconditionally and consequently forms the basis of all issues concerning value and meaning. Berger's writings deserve critical attention in that they disclose both the problems and the promises of utilizing empirical methods for the task of rehabilitating, rather than debunking, humanity's religious propensities.     

罗夏墨迹测验在西方的发展历史与研究现状

历史上罗夏墨迹测验（RIM）一直被视为投射测验而用精神分析的理论解释它,使其偏离了客观化的发展方向。综合罗夏系统则又回归到了实证的研究道路。综合系统仍视之为一个不完全结构化的、间接的测量方法,因此在人格研究中有独特的作用。关于RIM虽然仍有争议,但其科学研究价值已基本得到公认,目前要做的工作是发展它和完善它