In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy (...) the chance to satisfy their intellectual curiosity. (shrink)

This book explains the notational system NUSAP (Numeral, Unit, Spread, Assessment, Pedigree) and applies it to several examples from the environmental sciences.

The time taken to react voluntarily to a stimulus is far longer than can be accounted for by ordinary processes of nerve conduction and synaptic delay, and varies unpredictably from trial to trial. Though random, the distribution of reaction times usually follows a relatively simple law, which in turn can be explained by the LATER model, in which a decision signal, representing belief in the existence of the target, rises in response to incoming sensory evidence from an initial value to (...) a criterion level at which action is initiated. But the rate of rise fluctuates randomly from trial, to an extent that cannot be explained by sensory noise at the input. These conclusions, confirmed by recording from neurons in the frontal eye fields, suggest that the randomness of reaction time is due to a deliberate, gratuitous, neural process which confers certain biological advantages as well as having implications for general ideas about the nature of ‘free will'. (shrink)

This paper seeks to explore the implementation of corporate ethical culture and policies as an adjunct to formal forms of corporate governance. The insurance industry utilises a variety of external governance structures, but is almost unique in that stock companies (which are exposed to an external market for corporate control) and mutual companies (which are owned by a subset of their customers) are in active competition. A questionnaire survey of senior executives in U.K. insurance companies was undertaken to explore the (...) implementation of ethical policies and codes, to investigate ethical attitudes, and to analyze the extent to which these policies and attitudes varied among companies. The results suggest that ethical policies have a higher profile and ethical attitudes and behaviour are more positive in mutual as opposed to stock insurance companies. These findings support the contention that a strong corporate ethical culture may be utilised to enhance formal corporate governance instruments. (shrink)

The number of people who survive critical illness is increasing. In parallel, a growing body of literature reveals a broad range of side-effects following intensive care treatment. Today, more attention is needed to improve the quality of survival. Based on nine individual stories of illness experiences given by participants in two focus groups and one individual interview, this paper elaborates how former critically ill patients craft and recraft their personal stories throughout their illness trajectory. The analysis was conducted from a (...) phenomenological perspective and led to the meaning structure; a quest to find oneself after critical illness. In this structure, illness represented a breakdown of the participants’ lives, forcing them to develop a new understanding of themselves. Despite acute illness, they felt safe in hospital. Coming home, however, meant a constant balancing between health and illness, and being either in or out of control. To gain a deeper understanding of the participants’ narratives of survival, the meaning structure was developed from a phenomenological life world perspective, Heidegger’s concept of homelikeness and Arthur Frank’s typologies of illness narratives. In conclusion listening to and acknowledging the patients’ lived experiences of critical illness may support the patient efforts to establish the newly defined self and hence be vital for recovery. Phenomenology is one approach facilitating care tailored to the patients’ lived experience of critical illness and its aftermaths. (shrink)

How many words is a bilingual 2-year-old supposed to know or say in each of her languages? Speech and language therapists or researchers lack the tools to answer this question, because several factors have an impact on bilingual language skills: gender, amount of exposure, mode of acquisition, socio-economic status and the distance between L1 and L2. Unfortunately, these factors are usually studied separately, making it difficult to evaluate their weight on a unique measure of vocabulary. The present study measures the (...) contribution of the following factors to the vocabulary scores of bilingual toddlers: i) gender; ii) sibling ranking; iii) relative amount of exposure to each language; iv) mode of exposure; v) SES; vi) linguistic distance; vii) language spoken between parents. Close to the child’s second birthday, parents of 278 UK-based bilinguals completed successively: a 100-word version of the Oxford-CDI, the CDI in the child’s Additional Language, a family questionnaire, and the Language Exposure Questionnaire. Thirty-six British-English-AL pairs were considered, with languages contrasted on a second-language-learning scale : for example, Dutch and French are close to British-English, while Polish or Cantonese are more distant. Data from the corpus were included in two mixed-effect models, one with the English scores in comprehension as the dependent variable, and the other with production scores. The seven factors listed above were included as predictors. The amount of English exposure was the strongest predictor of comprehension scores = 9.35, p <.005, β = 0.02, t = 3.08, p <.005), followed by the language that parents speak between themselves = 14.94, p <.001, β = 1.37, t = 3.76, p <.0005), linguistic distance = 6.92, p <.01, β = -0.74, t = -2.66, p <.01) and age = 4.86, p <.05, β = 0.55, t = 2.17, p <.05). In production, gender = 13.57, p <.0005, β = -0.91, t = -03.72, p <.0005), amount of exposure to English = 13.57, p <.0005, β = -0.91, t = -03.72, p <.0005), the language that parents speak between themselves = 11.85, p <.005, β = 1.09, t = 3.41, p <.001), and the mother’s occupation = 4.51, p <.05, β = 0.63, t = 2.13, p <.05) were the significant predictors. The more English parents use to address one another, the more English words the child says and understands. This surprising result could be simply explained by the fact that parents who speak English together are also more likely to speak English to their child. The main results of this study is that linguistic distance is a powerful predictor of toddlers’ vocabulary in English, with children learning two close languages growing their vocabulary faster than those learning distant languages. (shrink)

A simple model for the description of atomic and ionic species with spectra exhibiting a quantum defect is solved using the Lie algebra su(1, 1). The quantum defect of bound states is related to the phase shift of scattering states. The resonances are discussed in terms of the nonunitary representations of this algebra.

The Clitophon, a dialogue generally ascribed to Plato, is significant for focusing on Socrates' role as an exhorter of other people to engage in philosophy. It was almost certainly intended to bear closely on Plato's Republic and is a fascinating specimen of the philosophical protreptic, an important genre very fashionable at the time. This 1999 volume is a critical edition of this dialogue, in which Professor Slings provides a text based on an examination of all relevant manuscripts and accompanies it (...) with a translation. His extensive introduction studies philosophical exhortation in the classical era, and tries to account for Plato's dialogues in general as a special type of exhortation. The Clitophon is seen as a defence of the Platonic dialogue. The commentary elucidates the Greek and discusses many passages where the meaning is not entirely clear. (shrink)

Lives and work of Veṅkaṭanātha (Vedantadesika), 1268-1369, and Maṇavāḷa Māmun̲i, 1370-1444, Vaishnavite leaders and exponents of the Viśiṣṭādvaita school in Hindu philosophy from Tamil Nadu.