Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. The book (...) also covers the essence of proof checking and proof development, and the use of dependent type theory to formalize mathematics. The only prerequisites are a good knowledge of undergraduate algebra and analysis. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarize themselves with the material. (shrink)

Health care professionals often face moral dilemmas. Not dealing constructively with moral dilemmas can cause moral distress and can negatively affect the quality of care. Little research has been documented with methodologies meant to support professionals in care for the homeless in dealing with their dilemmas. Moral case deliberation is a method for systematic reflection on moral dilemmas and is increasingly being used as ethics support for professionals in various health-care domains. This study deals with the question: What is the (...) contribution of MCD in helping professionals in an institution for care for the homeless to deal with their moral dilemmas? A mixed-methods responsive evaluation design was used to answer the research question. Five teams of professionals from a Dutch care institution for the homeless participated in MCD three times. Professionals in care for the homeless value MCD positively. They report that MCD helped them to identify the moral dilemma/question, and that they learned from other people’s perspectives while reflecting and deliberating on the values at stake in the dilemma or moral question. They became aware of the moral dimension of moral dilemmas, of related norms and values, of other perspectives, and learned to formulate a moral standpoint. Some experienced the influence of MCD in the way they dealt with moral dilemmas in daily practice. Half of the professionals expect MCD will influence the way they deal with moral dilemmas in the future. Most of them were in favour of further implementation of MCD in their organization. (shrink)

We discuss five kinds of representations of rationales and provide a formal account of how they can alter disputation. The formal model of disputation is derived from recent work in argument. The five kinds of rationales are compilation rationales, which can be represented without assuming domain-knowledge (such as utilities) beyond that normally required for argument. The principal thesis is that such rationales can be analyzed in a framework of argument not too different from what AI already has. The result is (...) a formal understanding of rationales, a partial taxonomy, and a foundation for computer programs that represent and reason with rationales.The five kinds of rationales are as follows: (c)ompression and (s)pecialization, which yield rules, and (d)isputation, which yields a decision. These are modeled as potentially changing the focus of the dispute. Then there are (f)it, a rationale for rules, and (r)esolution, a rationale for decisions. These cannot be modeled as simply; they force disputation to a meta-level, at least temporarily. (shrink)

Gray takes an information-processing paradigm as his departure point, invoking a comparator as part of the system. He concludes that consciousness is to be found “in” the comparator but is unable to point to how the comparison takes place. Thus, the comparator turns out not to be an entity arising out of brain research per se, but out of the logic of the paradigm. In this way, Gray both reinvents dualism and remains trapped in the language game of his own (...) model – ending up dealing with the unknowable. (shrink)

What we perceive is the product of an intrinsic process and not part of external physical reality. This notion is consistent with the philosophical position of transcendental idealism but also agrees with physiological findings on the thalamocortical system. -Frequency rhythms of discharge activity from thalamic and cortical neurons are facilitated by cholinergic arousal and resonate in thalamocortical networks, thereby transiently forming assemblies of coherent oscillations under constraints of sensory input and prefrontal attentional mechanisms. Perception and conscious experience may be based (...) on such assemblies and sensory input to thalamic nuclei plays merely a constraining role in their formation. In schizophrenia, the ability of sensory input to modulate self-organisation of thalamocortical activity may be generally reduced. If during arousal thalamocortical self-organisation is underconstrained by sensory input, then attentional mechanisms alone may determine the content of perception and hallucinations may arise. (shrink)

Hutsuls, as one of the ethnic groups of the Ukrainian people, are undoubtedly, along with fights and lemmas, among the most striking exponents of the spiritual culture of the Carpathian Ukrainians. The great attractiveness of the Hutsul's geographical space of habitation could not but affect their worldviews, bright mentality and original patterns of traditional culture. Along with unsurpassed specimens of folk architecture, folk art, choreography, the original pearls of the Hutsul's spiritual heritage include their songs.

RésuméL'objet du présent article est de dégager la signification philosophique des différents théoriémes de métamathématique relatifs à la puissance des formalisations. Ces théorèmes représentent la partie de l'épistémologie qui peut être exposée dans la forme technique de la science elle‐même et rassemblant les éléments d'une réflexion autocritique de la pensée mathématique sur elle‐même. Au‐delà, ils invitent à comprendre l'acte de la pensée mathématique comme déploiement d'un projet pensant supposant à la fois une initiative volontaire de la pensée, un champ intuitif (...) absolument indéfini et une exigence logique régulatrice, et amènent la philosophie de la science à se demander si, telles qu'ellcs sont, les mathématiques sont l'unique forme de synthèse rigoureuse possible entre ces trois moments de la pensée. (shrink)

This book has been prompted by the dishonesty of much contemporary treatment of the Bible. It is not a 'debunking' of the Bible, but an attempt to show what qualities and what preliminary assumptions are needed for the Bible to be genuinely understood and interpreted. Honest scholarship and honest interpretations must acknowledge that a revolution has taken place in the understanding of the Bible during the last two hundred years and that to try to deny or play down or disguise (...) the results of this revolution is to be faithful neither to God nor to ourselves. With that conviction, and with their customary panache, the authors then go on to look at the facts about the Bible; the New Testament interpretation of scripture; the interpretation of the Bible in the early church; historical criticism; fundamentalism; and prophecy. 'They analyse the books of the Bible, examine the canon and the Bible as norm and as the church's book, consider the role of faith and conclude with a chapter 'In Praise of the Bible'. Here, in the last book together, the Professors Hanson are indeed on top of their form. (shrink)