A continuoxis t- norm is a continuous map * from [0, 1]² into [0,1] such that is a commutative totally ordered monoid. Since the natural ordering on [0,1] is a complete lattice ordering, each continuous t-norm induces naturally a residuation → and becomes a commutative naturally ordered residuated monoid, also called a hoop. The variety of basic hoops is precisely the variety generated by all algebras, where * is a continuous t-norm. In this paper we investigate the structure of the (...) variety of basic hoops and some of its subvarieties. In particular we provide a complete description of the finite subdirectly irreducible basic hoops, and we show that the variety of basic hoops is generated as a quasivariety by its finite algebras. We extend these results to Hájek's BL-algebras, and we give an alternative proof of the fact that the variety of BL-algebras is generated by all algebras arising from continuous t-norms on [ 0,1] and their residua. The last part of the paper is devoted to the investigation of the subreducts of BL- algebras, of Gödel algebras and of product algebras. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Aristotle on the Etruscan Robbers:A Core Text of "Aristotelian Dualism"Abraham P. Bos (bio)1. A Non-Platonic Dualism in Aristotle's Lost WorksThe Soul of a Mortal on Earth is not "At Home," says Aristotle in his dialogue Eudemus. The story about the mantic dream of the expatriate Eudemus and his expectation that he "will return home"1 is well known. It makes clear that, in Aristotle's view, the death of the human (...) individual should be interpreted as the soul's "return to its homeland."2 This is strongly suggested by "the revelation of Silenus" which Plutarch (first century CE) passes down in a literal quotation from the Eudemus.3 It contains the theme of human life on earth as a punishment (timôria). The motif of human life as a punishment is central to two texts by Iamblichus (250-325 CE) and Augustine (354-430 CE), which are usually connected with Aristotle's Protrepticus.4 I want to examine these texts in more detail here. My intention in the following exposition is to propose a non-Platonistic explanation of these texts. In my opinion they have wrongly been read as testimonies of a "Platonistic" phase in Aristotle. The existence of such a phase in Aristotle's development has never been proved. Besides, the interpretation of these texts suffered from the fact that [End Page 289] Aristotle's De anima had also been explained in an unhistorical way since Alexander of Aphrodisias in the third century CE.2. Revising the Modern View of AristotleWe have to make a different assessment of Aristotle's contribution to the discussion on the soul compared with what was current until recently. For after W. Jaeger5 and F. Nuyens6, modern scholars became inclined to leave Aristotle's dialogues out of consideration, because they regarded them as "Platonizing." But a fundamental correction is necessary on this point.7 Jaeger led modern Aristotle studies in a wrong direction by assuming a sharp distinction between Aristotle's lost dialogue Eudemus and his surviving treatise De anima. Although nowadays Jaeger's theory for many scholars is something of a dead horse, nevertheless a real alternative has not been proposed. We still have to get rid of the consequences of the Jaegerian paradigm and develop a unitary interpretation of Aristotle's entire oeuvre. Even more consistently than O. Gigon has already done,8 we should assume that Aristotle's lost works and his surviving biological writings and De anima did not propose two (or more) different psychological theories but one and the same. Because this one Aristotelian psychology was a non-Platonistic but nevertheless dualistic psychology, we have much more reason than could be recognized in the past to assume Aristotelian influence on this discussion.On one essential issue Aristotle disagreed with his teacher Plato: the soul,9 more particularly the indissoluble bond of the soul with a body. Aristotle radically and [End Page 290] consistently argued for the distinction between nous and psychè.10 For Aristotle the nous-in-act is always wholly incorporeal. But he considered it characteristic of the soul that it cannot carry out its functions "without body."11However, the crucial question is: what body does Aristotle mean when he says that the soul cannot perform its specific activities "without body"? Jaeger and Nuyens were wholly convinced that Aristotle was referring to the visible, external body of a human being, animal, or plant. Hence they saw a yawning gap between Aristotle's views in De anima and his position in the dialogue the Eudemus. In the Eudemus Aristotle had clearly argued that the soul can perform its own functions very well, indeed better, without the galling and oppressive visible body.12 But in De anima II 1, in his famous definition of "the soul," Aristotle says that the soul is inextricably bound up with a "sôma physikon organikon."13 Jaeger and Nuyens, following an almost unanimous tradition since Alexander of Aphrodisias in the third century CE, interpreted this sentence in the sense that the soul is the formal principle or entelechy of an "organic body" or a "natural body equipped with organs," i.e., the visible body... (shrink)

This study concerns the ideas of one particular philosopher, Henri Bergson, whose views of time, intuition, and creativity have had a significant impact on art, literature, and the humanities, both in his time and in our own. Although it is generally recognized that Bergson's ideas have significantly impacted the arts and the humanities, it has not been recognized how they have also had a creative influence on the sciences as well. Nor has it been realized that this was one of (...) his most basic contentions. Bergson's conception of intuition--his fundamental insight into reality--was not limited to fugitive insights into human existence. By realizing previously unsuspected possibilities for research and discovery, his endeavors were also meant to make possible new advances in the sciences. If it enabled his cousin by marriage, Marcel Proust, to explore human memory in depth, it also inspired psychologists like Daniel Schachter to use Bergson's ideas to make real contributions to contemporary memory science. If his notion of creative evolution brought many thinkers to a belief in human creative freedom, it brought others (notably Alexis Carrel and Pierre Lecomte de Noüy) to a scientific study of biological time. Among his successful speculations was the theory of the Big Bang cosmology. 'Getting Bergson Straight' shows many points at which Bergson's ideas anticipated future developments in the sciences. This was seen clearly by the Nobel Prize-winning physicist Luis de Broglie who viewed Bergson's physics as presaging quantum physics. Thus, the text is well situated for arts, humanities, social science, and natural science classrooms studying creative thinking and/or intellectual history. (shrink)

In her paper, “The Doctrine of Double Effect: Problems of Interpretation,” Nancy Davis attempts to find an interpretation of the means-end relationship that would provide a foundation for the Doctrine of Double Effect (DDE) and its reliance on the distinction between what an agent intends or brings about intentionally and what that agent merely foresees will result from his/her action, but does not intend (or bring about intentionally). Davis’s inability to find such an interpretation lessens the plausibility of the view (...) that theDDE is an acceptable moral doctrine. In the present paper, it is suggested that Davis’s inability to find an interpretation of the means-end relationship that will support the DDE results from her assumption that an agent must intend to produce whatever he/she produces intentionally. Borrowing an argument from Michael Bratman, this article shows that Davis’s assumption is false. Thatrealization paves the way toward a defense of the DDE. (shrink)

The cortical visual mechanisms involved in processing spatial relationships remain subject to debate. According to one current view, the ''dorsal stream'' of visual areas, emanating from primary visual cortex and culminating in the posterior parietal cortex, mediates this aspect of visual processing. More recently, others have argued that while the dorsal stream provides egocentric coding of visual location for motor control, the separate ''ventral'' stream is needed for allocentric spatial coding. We have assessed the visual form agnosic patient DF, whose (...) lesion mainly affects the ventral stream, on a prehension task requiring allocentric spatial coding. She was presented with transparent circular disks. Each disk had circular holes cut in it. DF was asked to reach out and grasp the disk by placing her fingers through the holes. The disks either had three holes (for forefinger, middle finger, and thumb) or two holes (for forefinger and thumb). The distance between the forefinger and thumb holes, and the orientation of the line formed by them, were independently varied. DF was quite unable to adjust her grip aperture or her hand orientation in the three-hole task. Although she was able to orient her hand appropriately for the two-hole disks, she still remained unable to adjust her grip aperture to the distance between the holes. These findings are consistent with the idea that allocentric processing of spatial information requires a functioning ventral stream, even when the information is being used to guide a motor response. (shrink)

Audio recording of "a group of Philosophical and Environmental Songs," as described by Gunter.

Schwinger’s algebra of microscopic measurement, with the associated complex field of transformation functions, is shown to provide the foundation for a discrete quantum phase space of known type, equipped with a Wigner function and a star product. Discrete position and momentum variables label points in the phase space, each taking \(N\) distinct values, where \(N\) is any chosen prime number. Because of the direct physical interpretation of the measurement symbols, the phase space structure is thereby related to definite experimental configurations.

Evolutionary developmental biology (evo-devo) has undergone dramatic transformations since its emergence as a distinct discipline. This paper aims to highlight the scope, power, and future promise of evo-devo to transform and unify diverse aspects of biology. We articulate key questions at the core of eleven biological disciplines—from Evolution, Development, Paleontology, and Neurobiology to Cellular and Molecular Biology, Quantitative Genetics, Human Diseases, Ecology, Agriculture and Science Education, and lastly, Evolutionary Developmental Biology itself—and discuss why evo-devo is uniquely situated to substantially improve (...) our ability to find meaningful answers to these fundamental questions. We posit that the tools, concepts, and ways of thinking developed by evo-devo have profound potential to advance, integrate, and unify biological sciences as well as inform policy decisions and illuminate science education. We look to the next generation of evolutionary developmental biologists to help shape this process as we confront the scientific challenges of the 21st century. (shrink)

Sorokin, Pitirim Alexandrovich, born January 21,1889, in the small village of Turia in Russia [died 1968]. Student at the Teachers' Seminary in the province of Kostroma in Russia, at the evening school in St. Petersburg, at the Psycho- Neurological Institute in St. Petersburg ; Magistrant of Criminal Law ; Ph.D in Sociology ; Privatdozent at the Psycho-Neurological Institute, at the University of St. Petersburg ; Professor of Sociology at the same university ; Professor of Sociology at the Agricultural Academy, at (...) the University of Minnesota ; Chairman of the Department of Sociology at Harvard University from 1930. Member of the Executive Committee of the All-Russian Peasant's Soviet ; Secretary to the Prime Minister [ Kerensky ] ; member of the Russian Constitutional Assembly ; sentenced to death and finally exiled by the communist administration ; emigrated to the United States, naturalized. Member of the American Academy of Arts and Sciences, the American Sociological Association; honorary member of the International Institute of Sociology of the Czechoslovakian Academy for Agriculture, of the German Sociological Society, and of the Ukrainian Sociological Society; President of the International Institute for Sociology. Member of the Greek-Orthodox Church. (shrink)

Aristotle's definition of the soul should be interpreted as: 'the soul is the entelechy of a natural body that serves as its instrument'.

In this paper we try to answer the question whether diffusion is a possible mechanism to explain mesoderm induction in Amphibians. First the embryological data are discussed and a hypothesis for mesoderm formation is set forth. The blastula being essentially a hollow sphere, we assume that the induction mechanism in an embryo at the blastula stage can be simulated by diffusion-reaction processes on spherical surfaces. A model is constructed for the simple case when the source is held constant with respect (...) to time, the decay proportional to the concentration and the diffusion coefficient a constant, From simulation we find a (best) value for the decay constant to be 6 × 10–5/sec and for the diffusion constant to be 0.24 × 10– 6 cm2/sec. The relation between the parameters is derived from an analytic solution for the diffusion process on a spherical surface with a continuously producing point source and the concentration proportional to the decay. The form and regulative properties of the steady concentration gradient are discussed. (shrink)