The systems approach to niche presented herein stands as an example of the unifying potential of mathematical system theory when applied to concepts and principles of ecology. Beginning with subjective concepts from the naturalistic tradition, the niche was framed in the formalism of general system theory. So modeled, it appeared as a restriction of a more general construct, the environ. Both niches and environs are implementable in the context of ecosystem models, and with the growing ability of ecologists to construct (...) such models, system theoretic niches and environs both should serve in the future to clarify old problems of ecology, and make it possible to raise new classes of problems. The nature of niches, always difficult conceptually for the ecologist, may now give way to further development, both theoretical and empirical. (shrink)

Taxometric analyses were applied to the construct of psychopathy (as measured by the Psychopathy Checklist) and to several variables reflecting antisocial childhood, adult criminality, and criminal recidivism. Subjects were 653 serious offenders assessed or treated in a maximum-security institution. Results supported the existence of a taxon underlying psychopathy. Childhood problem behaviors provided convergent evidence for the existence of the taxon. Adult criminal history variables were continuously distributed and were insufficient in themselves to detect the taxon.

Croc lattices are of central importance in the mathematical foundation of quantum mechanics. They reflect the structure of the logical calculus of propositions concerning microphenomena. In this context, the mathematical consequences resulting from the special structure of the lattice are of particular interest. Beginning with the notion of hemimorphism of a croc lattice, we get, in a natural way, an extension of the structure of the lattice by the Baer *-semigroup. We embed the Baer *-semigroup in an algebra with generalized (...) *- and ′-operations and prove some theorems as consequences of the particular properties of the underlying croc lattice. (shrink)

In a short article, published in an earlier volume of Philosophy 1 under the title “Philosophy and Mathematics,” I tried to explain the current conception of pure mathematics as the study of abstract structure by construction and elaboration of appropriate axiomatic formalisms. In the present paper I propose to consider certain philosophical problems, of interest to philosophers and mathematicians alike, which have their origin in the relation between such formalisms and any applications to experience that they may possess. Consideration of (...) problems of this kind is no new undertaking, and in Reichenbach's Wahrscheinlichkeitslehre , for instance, a considerable amount of space is devoted to the Anwendungsproblem or problem of application of the formal calculus under consideration. Most such discussions, however, are at bottom an appendage to an account of the formalism itself, and the author's interest is primarily mathematical. The result is that the philosophical issues involved are not given due weight; and it is these philosophical issues that I wish to discuss in the present paper. (shrink)

This classic textbook focuses on medical law and its relationship with medical practice and modern ethics. It provides thorough coverage of all of the topics found on medical law courses, and in depth analysis of recent court decisions, encouraging students to think analytically about the subject.

This chapter contains sections titled: Chemical Revelations? The Veil of Maya and the Reducing Valve The Insane Root The Peacock in the Mirror.

This essay is an attempt to take stock of what has been done by those who have worked on the foundations of mathematics and to suggest, very inadequately in so short a space, what may be a satisfactory approach to this subject for one who is not an expert in it. The subject is one that neither mathematicians nor philosophers can any longer afford to ignore, but in the technicalities of which they may not be very interested.

The act/omission distinction is used throughout Western legal systems, and indeed elsewhere, to police the boundaries between acceptable medical practice and unacceptable interventions designed to bring about the death of patients. Without exception, it has proved impossible to maintain the distinction with any clarity. In the United Kingdom, for example, it is lawful both to withhold and to withdraw from a patient treatment that the medical ….