Apostoli and Brown have shown that the class of formulae valid with respect to the class of -ary relational frames is completely axiomatized by Kn: an n-place aggregative system which adjoins [RM], [RN], and a complete axiomatization of propositional logic, with [Kn]:□α1 ∧...∧□αn+1 → □2/ is the disjunction of all pairwise conjunctions αi∧αj )).Their proof exploits the chromatic indices of n-uncolourable hypergraphs, or n-traces. Here, we use the notion of the χ-product of a family of sets to formulate an alternative (...) definition of an n-trace, which in turn enables a new and simpler completeness proof. (shrink)

: Aristotle struggles with two basic tensions in his understanding of reality or substance that have parallels in Indian metaphysical speculation. The first of these tensions, between the understanding of reality as the underlying substrate (to hupokeimenon) and as the individual "this" (tode ti), finds a parallel in the concept of dravya in Patañjali's Mahābhāsa. The second tension, between the understanding of reality as the individual this and as the intelligible essence of the individual this (to ti ēn einai), corresponds (...) to an ambiguity in the concept of vastu in Kumārila's Ślokavārttika. (shrink)

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes (...) the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology. (shrink)

Genomic research—including whole genome sequencing and whole exome sequencing—has a growing presence in contemporary biomedical investigation. The capacity of sequencing techniques to generate results that go beyond the primary aims of the research—historically referred to as “incidental findings”—has generated considerable discussion as to how this information should be handled—that is, whether incidental results should be returned, and if so, which ones.Federal regulations governing most human subjects research in the United States require the disclosure of “the procedures to be followed” in (...) the research as part of the informed consent process. It seems reasonable to assume—and indeed, many commentators have concluded—that genomic investigators will be expected to inform participants about, among other procedures, the prospect that incidental findings will become available and the mechanisms for dealing with them. Investigators, most of whom will not have dealt with these issues before, will face considerable challenges in framing meaningful disclosures for research participants.To help in this task, we undertook to identify the elements that should be included in the informed consent process related to incidental findings. We did this by surveying a large number of genomic researchers (n = 241) and by conducting in‐depth interviews with a smaller number of researchers (n = 28) and genomic research participants (n = 20). Based on these findings, it seems clear to us that routine approaches to informed consent are not likely to be effective in genomic research in which the prospect of incidental findings exists. Ensuring that participants’ decisions are informed and meaningful will require innovative approaches to dealing with the consent issue. We have identified four prototypical models of a consent process for return of incidental findings. (shrink)

Two experiments examined the typicality structure of contrasting political categories. In Experiment 1, two separate groups of participants rated the typicality of 15 individuals, including political figures and media personalities, with respect to the categories Democrat or Republican. The relation between the two sets of ratings was negative, linear, and extremely strong, r = −.9957. Essentially, one category was treated as a mirror image of the other. Experiment 2 replicated this result, showing some boundary conditions, and extending the result to (...) liberal and conservative categories. The same method was applied to two other pairs of contrasting categories, healthy and junk foods, and male and female jobs. For those categories, the relation between contrasting pairs was weaker and there was less of a direct trade-off between typicality in one category versus typicality in its opposite. The results are discussed in terms of implications for political decision making and reasoning, and conceptual representation. (shrink)

In his latest book, Eric Scerri presents a completely original account of the nature of scientific progress. It consists of a holistic and unified approach in which science is seen as a living and evolving single organism. Instead of scientific revolutions featuring exceptionally gifted individuals, Scerri argues that the "little people" contribute as much as the "heroes" of science. To do this he examines seven case studies of virtually unknown chemists and physicists in the early 20th century quest to discover (...) the structure of the atom. They include the amateur scientist Anton van den Broek who pioneered the notion of atomic number as well as Edmund Stoner a then physics graduate student who provided the seed for Pauli's Exclusion Principle. Another case is the physicist John Nicholson who is virtually unknown and yet was the first to propose the notion of quantization of angular momentum that was soon put to good use by Niels Bohr. Instead of focusing on the logic and rationality of science, Scerri elevates the role of trial and error and multiple discovery and moves beyond the notion of scientific developments being right or wrong. While criticizing Thomas Kuhn's notion of scientific revolutions he agrees with Kuhn that science is not drawn towards an external truth but is rather driven from within. The book will enliven the long-standing debate on the nature of science, which has increasingly shied away from the big question of "what is science?". (shrink)

"Williams's masterful translation satisfies (at last!) a long-standing need. There are lots of good translations of Augustine's great work, but until now we have been forced to choose between those that strive to replicate in English something of the majesty and beauty of Augustine's Latin style and those that opt instead to convey the careful precision of his philosophical terminology and argumentation. Finally, Williams has succeeded in capturing both sides of Augustine's mind in a richly evocative, impeccably reliable, elegantly readable (...) presentation of one of the most impressive achievements in Western thought--Augustine's Confessions." --Scott MacDonald, Professor of Philosophy and Norma K. Regan Professor in Christian Studies, Cornell University. (shrink)

Introduction: the age of reflexion Part I. Romanticism: 1. Romanticism and the sciences David Knight 2. Schelling and the origins of his Naturphilosophie S. R. Morgan 3. Romantic philosophy and the organization of the disciplines: the founding of the Humboldt University of Berlin Elinor S. Shaffer 4. Historical consciousness in the German Romantic Naturforschung Dietrich Von Engelhardt 5. Theology and the sciences in the German Romantic period Frederick Gregory 6. Genius in Romantic natural philosophy Simon Shaffer Part II. Sciences of (...) the Organic: 7. Doctors contra clysters and feudalism: the consequences of a Romantic revolution Nelly Tsouyopoulos 8. Morphotypes and the historical-genetic method in Romantic biology Timothy Lenoir 9. ’Metaphorical mystifications’: the Romantic gestation of nature in British biology Evelleen Richards 10. Transcendental anatomy Philip F. Rehbock 11. Romantic thought and the origins of cell theory L. S. Jacyna 12. Alexander von Humbolt and the geography of vegetation Malcolm Nicholson Part III. Sciences of the Inorganic: 13. Goethe, colour, and the science of seeing Dennis L. Sepper 14. Johann Wilhelm Ritter: Romantic physics in Germany Walter D. Wetzels 15. The power and the glory: Humphrey Davy and Romanticism Christopher Lawrence 16. Oersted’s discovery of electromagnetism H. A. M. Snelders 17. Caves, fossils and the history of the earth Nicholas A. Rupke Part IV. Literature and the Sciences: 18. Goethe’s use of chemical theory in his Elective Affinities Jeremy Adler 19. Kleist’s bedlam: abnormal psychology and psychiatry in the works of Heinrich von Kleist Nigel Reeves 20. Coleridge and the sciences Trevor H. Levere 21. Nature’s book: the language of science in the American Renaissance David van Leer 22. The shattered whole: Georg Buchner and Naturphilosophie John Reddick. (shrink)

A commentary on “Models of Consent to Return of Incidental Findings in Genomic Research,” by Paul S. Appelbaum, Erik Parens, Cameron R. Waldman, Robert Klitzman, Abby Fyer, Josue Martinez, W. Nicholson Price II, and Wendy K. Chung, in the July‐August 2014 issue.

Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept of a (...) trope qua abstract particular by rejecting arguments that purport to show that tropes should not be understood as abstract and by arguing that the abstractness of tropes plays an indispensable role in one of our more promising trope-theoretic analyses of universals and of concrete objects. (shrink)

The concept of instantiation is realized differently across a variety of metaphysical theories. A certain realization of the concept in a given theory depends on what roles are specified and associated with the concept and its corresponding term as well as what entities are suited to fill those roles. In this paper, the classic realization of the concept of instantiation in a one-category ontology of abstract particulars or tropes is articulated in a novel way and defended against unaddressed objections.

This collection of classic works from the mid-nineteenth through mid-twentieth centuries was originally published under the auspices of the Royal Asiastic Society. Spanning over 100 years in oriental scholarship, primary texts include work by Frederic Rosen, W.F. Thompson, C. Edward Sachau, R.A. Nicholson, W.H.T. Gairdner, W.M. Miller, James Robson, and many others.

Models of cognitive vulnerability claim that depressive symptoms arise as a result of an interaction between negative affect and cognitive reactions, in the form of dysfunctional attitudes and negative inferential style. We present a model that complements this approach by focusing on the appraisal processes that elicit and differentiate everyday episodes of emotional experience, arguing that individual differences in appraisal patterns can foster negative emotional experiences related to depression (e.g., sadness and despair). In particular, dispositional appraisal biases facilitating the elicitation (...) of these emotions more frequently and more intensely. This, in turn, is likely to have a negative influence on cognitive processing and emotion regulation in general. (shrink)

Since the publication of Edmund Gettier's challenge to the traditional epistemological doctrine of knowledge as justified true belief, Roberts and Wood claim that epistemologists lapsed into despondency and are currently open to novel approaches. One such approach is virtue epistemology, which can be divided into virtues as proper functions or epistemic character traits. The authors propose a notion of regulative epistemology, as opposed to a strict analytic epistemology, based on intellectual virtues that function not as rules or even as skills (...) but as habits of the heart. To that end, they divide the task of clarifying and expounding their notion in the book's two parts.In the first part, Roberts and Wood examine various components that constitute their notion of regulative epistemology. The first are the epistemic goods or goals that drive the epistemic process. What is needed, claim Roberts and Wood, is an enriched notion of these goods rather than the restricted notion of justified true belief. Epistemic agents are more than calculating devices in that …. (shrink)