The Creation of the Dyad in the Suspension of Singular Personal Reality

ABSTRACT

Through an ongoing, nonconfrontive sharing of subjective realities, this goal can be realized: experiencing the other as a full person rather than an imbedded object in one's own version of life. The chance to experience true intimacy rests in not confusing our image of our partner with the full person. The therapist serves as catalyst and conduit in exchanging the dual realities to reach this goal.     

A CRITIQUE OF BOROWITZ'S POSTMODERN JEWISH THEOLOGY

Abstract. Borowitz's book is primarily a systematic response by a liberal Jewish theologian to his perceived challenges from rationalism on one hand and postmodernism on the other. It is within this context that Borowitz discusses issues of the relationship between modern science and Judaism. The first part of this essay is a summary of Borowitz's book. Here I locate Borowitz's place in the general discipline of Jewish philosophy and theology. The second part of the paper is a critique of Borowitz's discussion of postmodernism and liberalism. It is in this concluding section that the issues raised by contemporary science for Jewish religious thought are discussed.     

Relationships among several methods of linearly constrained correspondence analysis

This paper shows essential equivalences among several methods of linearly constrained correspondence analysis. They include Fisher's method of additive scoring, Hayashi's second type of quantification method, ter Braak's canonical correspondence analysis, Nishisato's type of quantification method, ter Braak's canonical correspondence analysis, Nishisato's ANOVA of categorical data, correspondence analysis of manipulated contingency tables, Böckenholt and Böckenholt's least squares canonical analysis with linear constraints, and van der Heijden and Meijerink's zero average restrictions. These methods fall into one of two classes of methods corresponding to two alternative ways of imposing linear constraints, the reparametrization method and the null space method. A connection between the two is established through Khatri's lemma.The work reported in this paper has been supported by grant A6394 from the Natural Sciences and Engineering Research Council of Canada to the first author. We wish to thank Carolyn Anderson, Ulf Böckenholt, Henk Kiers, Shizuhiko Nishisato, Jim Ramsay, Tadashi Shibayama, Cajo ter Braak, and Peter van der Heijden for their helpful comments on earlier drafts of this paper.     

Image and anti-image covariance matrices from a correlation matrix that may be singular

Following the work of Tucker, Cooper, and Meredith, image and anti-image covariance matrices from a correlation matrix that may be singular are derived.     

Regularized Multiple-Set Canonical Correlation Analysis

Multiple-set canonical correlation analysis (Generalized CANO or GCANO for short) is an important technique because it subsumes a number of interesting multivariate data analysis techniques as special cases. More recently, it has also been recognized as an important technique for integrating information from multiple sources. In this paper, we present a simple regularization technique for GCANO and demonstrate its usefulness. Regularization is deemed important as a way of supplementing insufficient data by prior knowledge, and/or of incorporating certain desirable properties in the estimates of parameters in the model. Implications of regularized GCANO for multiple correspondence analysis are also discussed. Examples are given to illustrate the use of the proposed technique. The work reported in this paper is supported by Grants 10630 and 290439 from the Natural Sciences and Engineering Research Council of Canada to the first and the second authors, respectively. The authors would like to thank the two editors (old and new), the associate editor, and four anonymous reviewers for their insightful comments on earlier versions of this paper. Matlab programs that carried out the computations reported in the paper are available upon request.     

Iterated Non‐Refutation: Robert Lockie on Relativism 1

Abstract

I argue that an experience’s sensuous elements play an ineliminable role in our being intentionally directed upon an entity through perception. More specifically, I argue that whenever we appreciate a sensuous element in experience, we appreciate an intrinsic and irreducibly phenomenal aspect of experience that I call phenomenal presence – an aspect of experience that I show is central to its presentational character – and that the appreciation of phenomenal presence is necessary for perceptual intentionality. If an experience is to possess intentionality, the experience itself must make an entity available as an object of perceptually-based singular beliefs and the experiencing subject, by virtue of undergoing the experience, must in some sense be able to appreciate that it has done so. Phenomenal presence is necessary for perceptual intentionality because it plays an ineliminable role in making an entity available to its subject in this way.     

THE LANGUAGE OF RIGHTS AND CONCEPTUAL HISTORY

The historical problem about the origins of the language of rights derives its importance from the conceptual problem: of “two fundamentally different ways of thinking about justice,” which is basic? Is justice unitary or plural? This in turn opens up a problem about the moral status of human nature. A narrative of the origins of “rights” is an account of how and when a plural concept of justice comes to the fore, and will be based on the occurrence of definite speech‐forms—the occurrence of the plural noun in the sense of “legal properties.” The history of this development is currently held to begin with the twelfth‐century canonists. Later significant thresholds may be found in the fourteenth, sixteenth, and eighteenth centuries. Wolterstorff's attempt to find the implicit recognition of rights in the Scriptures depends very heavily on what he takes to be implied rather than on what is stated, and at best can establish a pre‐history of rights‐language.