Central to Elements is an assay of the attributional union properties and relations have with their subjects, a topic historically left metaphorical. The work critiques eight Aristotelian assumptions concerning attribute dependence and ‘inherence’, per se subjects, attributes as agent-organizers, and unity-by-a-shared-one. Groups of these assumptions are seen to yield contradiction, vicious regress, or other problems. This analysis, joined with insights from an assay of ubiquitous structure, motivate ten theses explicating attribution and its primary ontic status. The theses detail: attributes proper (...) as individuated instances, structure as instance-generated facts and their two forms of composition, the conditioning role and universal nature of instances’ component intensions, the primacy of attribute instances for generating all forms of composition and complex entities, and identity and indiscernibility criteria for the latter. Principal is the insight that attribution is intension-determined combinatorial agency. It is its systematizing implications that provide solutions to classic problems, e.g., Composition, Individuation, and Universals, and in net generate a comprehensive one-category structuralist ontology. (shrink)

In a recent article [Mertz 2001] in this journal I argued for the virtues of a realist ontology of relation instances (unit attributes). A major strength of this ontology is an assay of ontic ('material') predication that yields an account of individuation without the necessity of positing and defending 'bare particulars'. The crucial insight is that it is the unifying agency or combinatorial aspect of a relation instance as predicable that is for ontology the principium individuationis [Mertz 2002; (...) 1996]. Or in short, what is ontically predicable, precisely as such, is the cause of individuation. As a preface to this positive doctrine I offered arguments against the coherence of bare particulars as defended in an article by J. P. Moreland [1998]. In a reply contained in this issue Moreland and Timothy Pickavance (hereafter M/P) propose to answer my objections [2002]. The response that follows provides reasons why, I contend, M/P have not succeeded in parrying my objections to bare particulars. (shrink)

D. W. Mertz provides a "new" competitor in the universals debate by reviving, developing, and defending the medieval doctrine of Moderate Realism. This book is a substantial contribution to ontology and logic, combining interesting new arguments for polyadic relations and unit attributes, careful and thorough historical studies, and a logic that could solve many old problems.

Primary to both ontology and epistemology is the attributional union that properties and relations have with their subjects. Yet, the tradition’s understanding of attribution has been assessed as shallow, and its contemporary analysis deemed locked in a non-progressing stalemate. Central here is the historically dominant __in___herence_/_constituent_ construal of attribution, what, I argue, has remained obscure and unattended as to its background assumptions and their implications. On the analysis offered herein, I make precise and detail errors of the defining assumptions of (...) inherence theory and the _two-tiered nature_ it requires of attribution. Brought into relief will be the four elements involved in every attributional union, and what are the errors in a sequence of collapsing identities among them that define inherence theory. Along the way, clarification and warrant is provided for the alternative theses and their implications defining an __ad___herence_ theory of attribution, key features synopsized in the last section. (shrink)

An ontology's theory of ontic predication has implications for the concomitant predicate logic. Remarkable in its analytic power for both ontology and logic is the here developed Particularized Predicate Logic (PPL), the logic inherent in the realist version of the doctrine of unit or individuated predicates. PPL, as axiomatized and proven consistent below, is a three-sorted impredicative intensional logic with identity, having variables ranging over individuals x, intensions R, and instances of intensions $R_{i}$ . The power of PPL is illustrated (...) by its clarification of the self-referential nature of impredicative definitions and its distinguishing between legitimate and illegitimate forms. With a wellmotivated refinement on the axiom of comprehension, PPL is, in effect, a higher-order logic without a forced stratification of predicates into types or the use of other ad hoc restrictions. The Russell-Priest characterization of the classic self-referential paradoxes is used to show how PPL diagnosis and solves these antimonies. A direct application of PPL is made to Grelling's Paradox. Also shown is how PPL can distinguish between identity and indiscernibility. (shrink)

This paper presents my personal convictions, as an Evangelical, regarding the absolute impropriety of doctor-assisted suicide for Christians. They have been “bought with a price” and are owned by Another. Hence, they must always strive to glorify God in their bodies, both in life and in death. Although they crave the well-being of temporal health, when they are ill seek healing or relief, and may well recoil even from the thought of suffering and dying, they should realize that their values (...) and priorities must be rooted in biblical truths and that their well-being is eternal and not temporal, spiritual and not material. As Christians, their attitudes and responses to suffering and dying must be molded by the reality that their Creator and Sovereign will cause all things to work together for their good and that their Lord has called them into a fellowship of His suffering in which they are sustained by dependence upon Him. Hence, for Christians to take their lives in order to escape from the trials and testings ordained by Him would be a failure of love and a breach of trust. (shrink)

A Christian approach to the issues that constitute bioethics is inevitable for us who cherish the truth of historic, creedal, trinitarian Christianity. Scripture teaches and the Greek and Latin Church Fathers as well as the Reformers aver that man, created in the image of God, has an inherent, if vestigial, sense of right and wrong and a conscience however marred by the fall and by rebellion. We must believe that we share this most basic ecumenism with all humanity, not because (...) of rational observation and analysis of nature, but because Scripture reveals it. We who are convinced of the truth of historic, creedal, trinitarian Christianity have a high view of Scripture and hold it to be infallible and utterly trustworthy irrespective of the importance we assign to our specific post-biblical traditional distinctives. This is a narrower but much more vital ecumenism than the first. Faithful adherence to Scripture inevitably manifests itself in remarkably similar priorities and values, often, lamentably, not because of, but in spite of, ourselves. (shrink)

Human aesthetic experiences are pervasive; they are triggered by faces, art, natural scenery, foods, ideas, theories, and decision-making situations, among many sources, and seem to be a distinctive trait of our species. Our moral sense, understood as our capacity to judge events, actions, or people as good or bad, appropriate or inappropriate, also seems to be an exclusively human endowment (Ayala 2010). As part of the scientific efforts to characterize the biological foundations of our human uniqueness, recently there has been (...) interest in the brain’s underpinnings of aesthetic reactions to art on the one hand, and in the neural correlates of moral judgment and decision-making on the other (Greene and Paxton .. (shrink)

This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub stantial course on abstract algebra. Consequently, our treatment ofthe sub ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of . the exercises. We also assurne (...) a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model oflogic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory. (shrink)

There are substantial data establishing that surrogates are often mistaken in predicting what treatments incompetent patients would have wanted and that supplements such as advance directives have not resulted in significant improvements. Rid and Wendler’s Patient Preference Predictor (PPP) proposal will attempt to gather data about what similar patients would prefer in a variety of treatment choices. It accepts the usual goal of patient autonomy and the Substituted Judgment principle for surrogate decisions. I provide reasons for questioning sole reliance on (...) autonomy when surrogates, not patients, are deciding and for giving some independent weight to patient well-being. Moreover, that family members, typical surrogates, will know best what the patient if incompetent would have wanted is not the only reason why they are chosen. The more pressing problem is that the PPP would fail to remove the more serious mistakes that empirical psychology over the last few decades has shown to infect such decision making. (shrink)

As a social psychologist addressing mainly the topics of social facilitation (motivation) and attitudinal effects of mere exposure (affect), between 1965 and 1975 Robert B. Zajonc authored prominent works that relied on or led to observations of the actions of nonhuman animals. Zajonc pointed to insects, worms, fish, fowl, birds, mice, rats, cats, dogs, monkeys, and apes as animal models whereby responses of beasts were used as evidential substitutes (with apparently equal weight) for responses of man. These efforts notwithstanding, animal-based (...) research no longer has visibility in mainstream social psychology. Reasons for this absence include general historical trends in the field’s development. (shrink)