Mysticism and the mystical experience seemingly play little or no part in our Western tradition. Certainly there is no mystical tradition in the West such as Zen Buddhism, nor is there any great understanding of or influence from the writings of Heraclitus, Spinoza, or the mystical passages in the early work of Wittgenstein. Mysticism has been generally misunderstood in the West, and it has even evoked the attacks of philosophers and theologians. 1 Mysticism to many conjures up images of monks (...) meditating in caves; it is generally pictured as esoteric, otherworldly, irrational, and at best irrelevant to the daily lives of human beings. If what we say below is correct, it will be seen that mysticism is none of these but is rather a singular human experience that lies at the foundations of civilization. (shrink)

In this book, philosopher Jean W. Rioux extends accounts of the Aristotelian philosophy of mathematics to what Thomas Aquinas was able to import from Aristotle’s notions of pure and applied mathematics, accompanied by his own original contributions to them. Rioux sets these accounts side-by-side modern and contemporary ones, comparing their strengths and weaknesses.

Mathematics has had its share of historical shocks, beginning with the discovery by Hippasus the Pythagorean that the integers could not possibly be the elements of all things. Likewise with Kurt Gödel’s Incompleteness Theorems, which presented a serious (even fatal) obstacle to David Hilbert’s formalism, and Bertrand Russell’s own discovery of the paradox inherent in his intuitively simple set theory. More recently, Paul Benacerraf presented a problem for the foundations of arithmetic in “What Numbers Could Not Be” and “Mathematical Truth.” (...) Drawing out difficulties he found in mathematical realism, Benacerraf ended up proposing his own structuralist view of mathematics, according to which numbers could not be considered objects at all, but mere placeholders, wholly defined in terms of the structures within which they were found. While we do not intend to work through the intricacies of structuralism or other types of mathematical nonrealism, or even of any of the many other competing theories in contemporary philosophy of mathematics, our question concerns problems one finds in an earlier, and perhaps more naïve, view of mathematics which, though a realism of its own, begins with seemingly more problematic assumptions than these. Classically expressed, the question is: do numbers exist in the world, whether as substances or as attributes of things? These are among the things Benacerraf holds numbers could not be; still, we hope to dispel some of the confusion which might bring one prematurely to reject this account. Most precisely, we wish to address the problem whether there can be a science of arithmetic, as that term is understood by Aristotle and Thomas Aquinas. (shrink)

Georg Cantor argued that pure mathematics would be better-designated “free mathematics” since mathematical inquiry need not justify its discoveries through some extra-mental standard. Even so, he spent much of his later life addressing ancient and scholastic objections to his own transfinite number theory. Some philosophers have argued that Cantor need not have bothered. Thomas Aquinas at least, and perhaps Aristotle, would have consistently embraced developments in number theory, including the transfinite numbers. The author of this paper asks whether the restriction (...) of arithmetic to the natural numbers that is apparently assumed by Aristotle and Aquinas is necessary in the light of their stated principles. The author concludes that, while some texts from Aristotle and Thomas suggest that such discoveries as zero, rational, and real numbers, and even Cantor’s own transfinite numbers, are legitimate objects of scientific knowledge, a careful analysis shows that they are incompatible with the ultimate arithmetical principle, the unit. (shrink)

The present paper develops arguments for the need to formulate the basic theories of physics in terms of a six-dimensional manifold, as opposed to the four-dimensional space-time continuum of conventional theory. Employing a purely classical approach, some of the dynamical consequences of such a formulation with regard to both electrodynamics and gravitation are evaluated. The results lead to interesting implications with regard to various questions such as the occurrence and importance of superluminal particles, the existence of two or more physically (...) distinct time scales, and the variation of the gravitational coupling constant G and the law of energy conservation. The analysis also suggests a physical interpretation of the additional coordinates that occur in the metric. (shrink)

Managing ethical behavior is a one of the most pervasive and complex problems facing business organizations today. Employees' decisions to behave ethically or unethically are influenced by a myriad of individual and situational factors. Background, personality, decision history, managerial philosophy, and reinforcement are but a few of the factors which have been identified by researchers as determinants of employees' behavior when faced with ethical dilemmas. The literature related to ethical behavior is reviewed in this article, and a model for understanding (...) ethical behavior in business organizations is proposed. It is concluded that managing ethics in business organizations requires that managers engage in a concentrated effort which involves espousing ethics, behaving ethically, developing screening mechanisms, providing ethical training, creating ethics units and reinforcing ethical behavior. (shrink)

Achieving space situational awareness requires, at a minimum, the identification, characterization, and tracking of space objects. Leveraging the resultant space object data for purposes such as hostile threat assessment, object identification, and conjunction assessment presents major challenges. This is in part because in characterizing space objects we reference a variety of identifiers, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, operational processes, operational statuses, and so forth, which tend to be defined in highly heterogeneous and sometimes inconsistent (...) ways. The Space Domain Ontologies are designed to provide a consensus-based realist framework for formulating such characterizations in a way that is both consistent and computable. Space object data are aligned with classes and relations in a suite of ontologies built around the existing Space Object Ontology. They are stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space situational awareness and the needs of spacecraft operators and analysts. This paper provides an overview of the Space Domain Ontologies and their development and use. It presents the motivation for and advantages of the Space Domain Ontologies, including the benefits they provide for enhancing and maintaining long-term space situational awareness. (shrink)

Boredom is a frequently experienced and unpleasant state (Bench & Lench, 2019; Danckert et al., 2018; Eastwood et al., 2012) that people are experiencing more frequently (Weybright et al., 2020). W...

In this paper we provide evidence from Japan that bears on a general theory of agenda power in legislatures. By agenda power we mean the power to determine: (a) which bills are considered in the plenary session of the legislature and (b) restrictions on debate and amendment to these bills, when they are considered. While a substantial amount of work has focused on the second category of agenda power, including studies of special rules in the US House (e.g., Sinclair forthcoming), (...) closure in the UK House of Commons (e.g., Cox, 1987; Dion, 1997), and the guillotine in the French National Assembly (e.g., Huber, 1996), there is very little on the first and arguably more fundamental sort of agenda power. This agenda power is our focus here, and henceforth when we refer to we shall mean this narrower conception. (shrink)