This graduate-level_text by a master in the field builds a function theory of the rational field that combines aspects of classical and intuitionist analysis. Topics include recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.

L R Perry; Training and Education, Journal of Philosophy of Education, Volume 6, Issue 1, 30 May 2006, Pages 7–29, https://doi.org/10.1111/j.1467-9752.1972.tb00.

Electrophysiology deals with apparatus applied in a stimulus response situation. This technique is partly concerned with physical problems, partly with biological ones. The failure to appreciate differences in these problems leads to assumptions which require critical examination. Assumptions stating the constancy of objective stimuli, the meaning of inter and intra-individual variation, and the stability of the so-called “resting level” are examined.Some experiments are cited which reveal complications by the apperception of the patient and which have a significant influence on electrophysiological (...) data. The evocation of stress reactions by routine laboratory procedures is discussed and a suggestion is made of the way in which the validity of electro-physiological measurements may be improved.Dans la science de l'électro-physiologie on se sert des instruments pour mesurer des processus de réaction d'une objet stimulée.La méthodique dans cette science est dérivée partiellement de la science biologique et partiellement de la science physicale.Une des difficultées est d'apprécier justement des differences dans les problèmes de mesure dans les deux terraines scientifiques, ce que mène à des assumptions douteuses, qui a besoin d'une examination scrupuleuze.Des assumptions concernant la constance de stimulations objectives, la significance des variations inter- et intra-individuelles et la stabilité du niveau, dit „resting level”, sont examinés.Quelques experiments, révelant des complexités dans l'apperception des patients ayant une influence importante sur les données électro-physiologiques, sont cités.L'évocation des réactions de tension, par des procedures routinières en laboratoire sont discutés et une suggestion afin d'améliorer la validité des données de mesure électrophysiologique est donnée.In der Elektrophysiologie ist man beschäftigt mit Instrumentarium, waraus die Zusammenhang zwischen Reiz und Reaktion untersucht wird. In diesen Untersuchungen werden Methoden angewandt, welche teils aus der biologischen, teils aus der physikalischen Wissenschaft stammen. Es kommt vor, dass Unterschiede in Messungsprobleme innerhalb jedem Fachgebiet nicht richtig gewertet werden, was zu Annahmen führt, welche eine kritische Analyse bedürfen.Annahmen was betrifft, die Konstanz von objective Reize, die Bedeutung von inter- und intra-individuellen Variationen und die Konstanz des sogenannten „resting level”, wurden einer Analyse unterzogen.Einige Experimenten sind zitiert, die eine erhebliche Komplexität in der Wahrnehmungsempfindung des Patienten nachweisen und die eine bedeutungsvolle Einfluss haben auf den elektro-physiologischen Angaben. Das Hervorrufen Spannungsreaktionen durch Routine-vorgänge im Laboratorium wurde diskutiert und eine Weise um mit möglicherweise zuverlassigem Erfolg elektro-physiologischen Messungen aus zu führen wurde vorgeschlagen. (shrink)

Despite increasing scientific interest in self-generated thought-mental content largely independent of the immediate environment-there has yet to be any comprehensive synthesis of the subjective experience and neural correlates of affect in these forms of thinking. Here, we aim to develop an integrated affective neuroscience encompassing many forms of self-generated thought-normal and pathological, moderate and excessive, in waking and in sleep. In synthesizing existing literature on this topic, we reveal consistent findings pertaining to the prevalence, valence, and variability of emotion in (...) self-generated thought, and highlight how these factors might interact with self-generated thought to influence general well-being. We integrate these psychological findings with recent neuroimaging research, bringing attention to the neural correlates of affect in self-generated thought. We show that affect in self-generated thought is prevalent, positively biased, highly variable (both within and across individuals), and consistently recruits many brain areas implicated in emotional processing, including the orbitofrontal cortex, amygdala, insula, and medial prefrontal cortex. Many factors modulate these typical psychological and neural patterns, however; the emerging affective neuroscience of self-generated thought must endeavor to link brain function and subjective experience in both everyday self-generated thought as well as its dysfunctions in mental illness. (shrink)

Open peer commentary on the target article “Who Conceives of Society?” by Ernst von Glasersfeld. Excerpt: In the light of the almost brilliant equilibrium of the author, who manages to compose a resourceful explanation, switching between the notional conditionality and the expected contextual understanding, I intend to focus on the interdisciplinary potential of some suggestions that offer new perspectives on conceiving society, which are driven by a non-analytical and holistic vision.

The third edition gives particular attention to neuroimaging, which has emerged in the past decade as one of the most active areas of research in the field.

These essays explore the religious dimensions to a number of key features of well-being, including marriage, crime and rehabilitation, work, inequality, mental ...

In computer science, an algorithm is an unambiguous specification of how to solve a class of problems. Algorithms can perform calculation, data processing and automated reasoning tasks. As an effective method, an algorithm can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, (...) eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input. This book introduces a set of concepts in solving problems computationally such as Growth of Functions; Backtracking; Divide and Conquer; Greedy Algorithms; Dynamic Programming; Elementary Graph Algorithms; Minimal Spanning Tree; Single-Source Shortest Paths; All Pairs Shortest Paths; Flow Networks; Polynomial Multiplication, to ways of solving NP-Complete Problems, supported with comprehensive, and detailed problems and solutions, making it an ideal resource to those studying computer science, computer engineering and information technology. (shrink)

Immortality is a subject which has long been explored and imagined by science fiction writers. In his intriguing new study, Stephen R.L.Clark argues that the genre of science fiction writing allows investigation of philosophical questions about immortality without the constraints of academic philosophy. He reveals how fantasy accounts of issues such as resurrection, disembodied survival, reincarnation and devices or drugs for preserving life can be used as an important resource for philosophical inquiry and examines how a society of immortals might (...) function through a reading of the vampire myth. _How to Live Forever_ is a compelling study which introduces students and professional philosophers to the possibilities of using science fiction in their work. It includes extensive suggestions for further reading, both fictional and philosophical, and examines the work of such major science fiction authors as _Arthur C. Clarke, Frank Herbert, Larry Niven, William Gibson_, and _Colin Wilson_. (shrink)

The old ritual word macte was only vaguely understood even in Republican times. As is well known, the ancient critics connected the word with magis, magnus, and explained it as magis auctus. A glance at Walde's Wörterbuch reveals that many attempts have been made in modern times to solve the mystery; but the formidable equipment of the modern philologist has yielded little better results than the popular etymology of the ancients, the most favoured view to-day seeing in mactus the PPP (...) of a verb mago with macto as the frequentative which replaces it. The supposed semantic development of this verb, originally meaning ‘to increase’, has been set forth by Warde Fowler in a well-known passage, to which recent authorities have accorded their assent and praise: ‘the vitality of the deity … was really increased by placing on the altar the organs of life of the victim’. But this is a solution which ignores half the problem: macte and mactare are used not only of the deities but also of the victim. One can perhaps understand lovem mactare as ‘to magnify J.’, but not even by the most superficial analogy can we find a transition from here to the meaning typified in mactare vinum. Yet this is one of the most frequent usages of the word. So deep a gulf lies between the two semantic spheres of the verb that some scholars have sought to find in it two different verbs. But this is a counsel of despair which the editor of the Thesaurus dismisses with a non recte. We must agree, then, with Hey that the modern explanation is ‘sicher eine unrichtige’ and with Meillet-Ernout that there exists ‘aucune étymologie claire’. It is, therefore, surprising that so ill-founded a preconception should lead investigators to ignore or even dismiss important evidence which the ancient authorities offer for the solution of this problem. (shrink)

Whether any apology is possible for the form of this paper is doubtful; but perhaps a few words are allowable. The miscellaneous notes, of which it consists, are fairly well described by the title: at all events, the proposals contained in them—with, I fear, many others—have been pencilled at one time or another in one margin or another. Their age varies widely: two or three must go back to days when my only complete Euripides was Kirchhoff's editio minor and my (...) only Sophocles a copy of Tournier; the most date from middle age or ‘quidquid est illud inter iuvenem et senem medium in utriusque confinio positum’; but, whenever they were made, they were not made by a student of the Greek dramatists commanding the equipment that such a student ought to have. The equipment, in any case, was out of my reach; but, though I have read the plays often, I have read them only because the ancients have a way of enabling one to forget the moderns—as I was informed in my youth by an excellent scholar who has now forgotten both. I hope, therefore, that anyone who may happen to read the paper will overlook some errors and ignorances of the amateur; and, above all, if I may borrow a sentence from Markland's preface to his emendations on Lysias, ‘si quando dictatoria ista, Lege, vel Scribe, occurrent, scito me nihil aliud velle quam Forte legendum vel scribendum’. (shrink)

In the course of writing this book, answers to the following questions and many others were given in both narrative and visual form. Most of them were presented rather forcefully, and not when I was expecting them. I understood that I was to share what I learned. What is in store for the geology of North America? How do we create matter every day? What is the nature of nature? How did people live more than a half million years ago? (...) What was space travel like a half million years ago? Where is God? What are our responsibilities as humans? Is Hitler in heaven? How can we go to heaven? (shrink)

Animals and robots perceiving and acting in a world require an ontology that accommodates entities, processes, states of affairs, etc., in their environment. If the perceived environment includes information - processing systems, the ontology should reflect that. Scientists studying such systems need an ontology that includes the first - order ontology characterising physical phenomena, the second - order ontology characterising perceivers of physical phenomena, and a third order ontology characterising perceivers of perceivers, including introspectors. We argue that second - and (...) third - order ontologies refer to contents of virtual machines and examine requirements for scientific investigation of combined virtual and physical machines, such as animals and robots. We show how the CogAff architecture schema, combining reactive, deliberative, and meta - management categories, provides a first draft schematic third - order ontology for describing a wide range of natural and artificial agents. Many previously proposed architectures use only a subset of CogAff, including subsumption architectures, contention - scheduling systems, architectures with Ôexecutive functionsÕ and a variety of types of ÔOmegaÕ architectures. Adding a multiply - connected, fastacting ÔalarmÕ mechanism within the CogAff framework accounts for several varieties of emotions. H - CogAff, a special case of CogAff, is postulated as a minimal architecture specification for a human - like system. We illustrate use of the CogAff schema in comparing H - CogAff with Clarion, a well known architecture. One implication is that reliance on concepts tied to observation and experiment can harmfully restrict explanatory theorising, since what an information processor is doing cannot, in general, be determined by using the standard observational techniques of the physical sciences or laboratory experiments. Like theoretical physics, cognitive science needs to be highly speculative to make progress. Ó 2004 Published by Elsevier B. V. (shrink)

Sports medicine is a rapidly expanding area of clinical practice. The pitchside physician faces many ethical challenges in managing the injuries and wellbeing of sports men and women. This brief essay describes some of the dilemmas frequently encountered by the pitchside physician and calls for a discussion of the issues raised.

The notion of autonomy commonly employed in medical ethics literature and practices is inadequate on three fronts: it fails to properly identify nonautonomous actions and choices, it gives a false account of which features of actions and choices makes them autonomous or nonautonomous, and it provides no grounds for the moral requirement to respect autonomy. In this paper I offer a more adequate framework for how to think about autonomy, but this framework does not lend itself to the kinds of (...) practical application assumed in medical ethics. A general problem then arises: the notion of autonomy used in medical ethics is conceptually inadequate, but conceptually adequate notions of autonomy do not have the practical applications that are the central concern of medical ethics. Thus, a revision both of the view of autonomy and the practice of “respect for autonomy” are in order. (shrink)

Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.

Within the framework of Neurological Positivism this article describes how brain algorithms are translated into mathematics in ontogeny and in culture. The purpose is to address seemingly contradictory research findings that suggest that while mathematical axioms are innate, they are not the direct result of processes of selection. It is proposed that self-referencing feedback processes of maximum-power evolution guide the construction of algorithmic isomorphies between preadapted brain algorithms and mathematics. It is concluded that maximum-power evolution as described in NP offers (...) mechanisms that make sense of findings that suggest that mathematical axioms are innate, yet not directly the result of selection as traditionally understood. It is concluded also that these mechanisms provide insight into the often intuitive nature of mathematical discovery. (shrink)

In a recent note Mr. T. B. Allen had corrected a reading of J. B. Cramer βρβειος ορ to προβτειος., but in a footnote he adds ‘When I made this correction I was not aware of the word πρβειος. Liddell and Scott and Sophocles share my ignorance. I found it in the Anecdota of Boissonade III 408: κ δ τν κρεν ρνιθας σθειν κα πρβεια κα περιστερς sim. 410, 412, 419. Boissonade quotes the word from a similar treatise by Hierophilus, (...) and the 1851 edition of Stephanus reproduces his note.’ This trisyllabic word πρβειος is obviously a ‘Reimbildung’ to ρνειος, μσχειος, ταρειος etc., and its occurrence clears up a papyrus reading which has long puzzled me. In P. Lond. 113, 10, 13 [VII] we read πρωβαων δερμτων, which Preisigke lists as ‘πρβαιος=προβτειος’ Until reading Allen's note I had supposed that the loss of the syllable -ατ- in προβτ-ειος, was a haplography induced by the following δερμ-τ-ων but there are now grounds for regarding the formation as genuine. Only the variation of the adjectival suffix -ειος × -αιος presents a difficulty. In clearing this up we shall be able to lay a number of ghost-words which have spooked in the second edition of Mayser's Grammatik der ptolemäischen Papyri. (shrink)

Emphasizing the predictive success and practical utility of psychological science is an admirable goal but it will require a substantive shift in how we design research. Applied research often assumes that findings are transferable to all practices, insensitive to variation between implementations. We describe efforts to quantify and close this practice-to-practice gap in education research.