Energy is a crucial concept within classical and quantum physics. An essential tool to quantify energy is the Hamiltonian. Here, we consider how to define a Hamiltonian in general probabilistic theories—a framework in which quantum theory is a special case. We list desiderata which the definition should meet. For 3-dimensional systems, we provide a fully-defined recipe which satisfies these desiderata. We discuss the higher dimensional case where some freedom of choice is left remaining. We apply the definition to example toy (...) theories, and discuss how the quantum notion of time evolution as a phase between energy eigenstates generalises to other theories. (shrink)

The black hole information problem provides important clues for trying to piece together a quantum theory of gravity. Discussions on this topic have generally assumed that in a consistent theory of gravity and quantum mechanics, quantum theory is unmodified. In this review, we discuss the black hole information problem in the context of generalisations of quantum theory. In this preliminary exploration, we examine black holes in the setting of generalised probabilistic theories, in which quantum theory and classical probability theory are (...) special cases. We are able to calculate the time it takes information to escape a black hole, assuming that information is preserved. In quantum mechanics, information should escape pure state black holes after half the Hawking photons have been emitted, but we find that this get’s modified in generalisations of quantum mechanics. Likewise the black-hole mirror result of Hayden and Preskill, that information from entangled black holes can escape quickly, also get’s modified. We find that although information exits the black hole as predicted by quantum theory, it is fairly generic that it fails to appear outside the black hole at this point—something impossible in quantum theory due to the no-hiding theorem. The information is neither inside the black hole, nor outside it, but is delocalised. (shrink)

Levando–se em conta os leitores do século XXI, ao debruçar-se sobre a participação da Igreja católica brasileira na preparação do Concílio Vaticano II, o presente estudo parte de três perguntas: a) o quê interessa saber sobre a participação brasileira? b) É este um tema relevante? c) Alguns brasileiros participação significativamente na fase preparatória? Para responder apropriadamente a essas questões os autores propõem um conceito diferente de “participação” na preparação do Vaticano II por parte do episcopado brasileiro. O artigo não foca (...) apenas a presença deste ou daquele bispo ou perito nas comissões do Concílio, mas propõe a idéia de que o mais importante foi a auto-preparação, que durante certo tempo permaneceu “latente” e posteriormente se organizou através de um Concílio com um episcopado jovem, com uma média de idade em torno de 54 anos e 11 de experiência como bispo. Por isso, conscientes dos problemas pastorais que a realidade do subdesenvolvimento punha à Igreja, e com uma incipiente experiência de participação colegial, desenvolvida na construção do Plano de Emergência, este episcopado não só vivenciou em profundidade o “evento” conciliar, como foi o primeiro a sair dele organizado para colocá-lo em prática. Daqui a relevância desta reconstrução. Palavras-chave: Helder Câmara. Plano de Emergência. Colegialidade. Vaticano II. Igreja Católica no BrasilThis article aims to show the contribution of the Brazilian Catholic Church in the preparation of the Second Vatican Council. To fulfill such purpose the present study focus its research in three basic questions: a) what is important to know about the Brazilian participation? b) Is this a relevant topic? C) Some Brazilians participate significantly in the preparatory phase? To respond appropriately to these issues the authors propose a different concept of "participation" in the preparation of Vatican II by the Brazilian episcopate. The article focuses not only the presence of this or that bishop or the expert commissions of the Council, but proposes the idea that the most important was the self-preparation, which for a time remained "latent" and later was organized by a council with a young bishop, with an average age around 11 and 54 years of experience as a bishop. Therefore, aware of the problems that the pastoral reality of underdevelopment put the Church, and with an incipient experience of participating high school, developed in the construction of the Emergency Plan, the bishops not only experienced in depth the "event" to reconcile, as was the first it held out to put it into practice. Key words: Helder Câmara. Emergency Plan. Collegiality. Vatican II. Catholic Church in Brazil. (shrink)

The notion that our society, its education system and its intellectual life, is characterised by a split between two cultures – the arts or humanities on one hand and the sciences on the other – has a long history. But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This fiftieth anniversary printing of The Two Cultures and its successor piece, A Second (...) Look features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed. (shrink)

In their simplest form, hybrid languages are propositional modal languages which can refer to states. They were introduced by Arthur Prior, the inventor of tense logic, and played an important role in his work: because they make reference to specific times possible, they remove the most serious obstacle to developing modal approaches to temporal representation and reasoning. However very little is known about the computational complexity of hybrid temporal logics.In this paper we analyze the complexity of the satisfiability problem of (...) a number of hybrid temporal logics: the basic hybrid language over transitive trees; nominal Until logic; and referential interval logic. We discuss the effects of including nominals, the @ operator, the somewhere modality E, and the difference operator D. Adding nominals to tense logic leads for several frame-classes to an increase in complexity of the satisfiability problem from PSPACE to EXPTIME. On transitive trees, however, the satisfiability problem for this language can be decided in PSPACE. Along the way we make a detour through hybrid propositional dynamic logic: we establish upper bounds for a number of temporal logics by generalizing results due to Passy and Tinchev [29] and De Giacomo [16]. We conclude with some remarks on the relevance of our results to description logic, and draw attention to the utility of the spypoint technique for proving upper and lower bounds. (shrink)

The author is primarily concerned with the explanation of behavior in regard to (1) the mecanical model, (2) the effects of physical-organic processes on behavior, (3) the lack of understanding between philosophers and psychologists as to sufficient conditions for predicting a behavioral event, (4) conditions leading to expalantions of behavior that could predict behavior exclusive of any antecedent psychological behavior, and (5) variations of the mechanical-model introducing differing sorts of explanation. (staff).

Institute of Theoretical Astronomy, University of Cambridge, Cambridge, UK 3fS. received 28th August 1970, in final revised form 1st July 1971..

An inquiry into the nature of the universe draws out the implications of the quantum theory and argues that our universe is only one among many possible universes and that other universes may exist.

Two crucial topics in the philosophy of medicine are the philosophy of nature and philosophical anthropology. In this essay I engage the philosophy of nature by exploring Anne Fagot-Largeault's study of norms in nature as a way of articulating a Confucian philosophy of medicine. I defend the Confucian position as a moderate naturalism.

Aim To explore the views in non-Western cultures about ending the lives of damaged newborns.Method 254 university students from India and 150 from Kuwait rated the acceptability of ending the lives of newborns with genetic defects in 54 vignettes consisting of all combinations of four factors: gestational age ; severity of genetic defect ; the parents’ attitude about prolonging care ; and the procedure used .Results Four clusters were identified by cluster analysis and subjected to analysis of variance. Cluster I, (...) labelled ‘Never Acceptable’, included 4% of the Indians and 59% of the Kuwaitis. Cluster II, ‘No Firm Opinion’, had little variation in rating from one scenario to the next; it included 38% of the Indians and 18% of the Kuwaitis. In Cluster III, ‘Parents’ Attitude+Severity+Procedure’, all three factors affected the ratings; it was composed of 18% of the Indians and 16% of the Kuwaitis. Cluster IV was called ‘Severity+Parents’ Attitude’ because these had the strongest impact; it was composed of 40% of the Indians and 7% of the Kuwaitis.Conclusions In accordance with the teachings of Islam versus Hinduism, Kuwaiti students were more likely to oppose ending a newborn's life under all conditions, Indian students more likely to favour it and to judge its acceptability in light of the different circumstances. (shrink)

C P Ormell; Ideology and the Reform of School Mathematics, Journal of Philosophy of Education, Volume 3, Issue 1, 30 May 2006, Pages 37–54, https://doi.org/10.1.

Dan Baras has recently argued for the claim that Theistic Mathematical Platonism fares no better than Mathematical Platonism with respect to explaining why our mathematical beliefs are correlated with mind-independent mathematical truths. In this paper I argue that, insofar as TMP provides a proximate or local explanation for this truth-tracking correlation whereas MP fails to offer any corresponding explanation, Baras’s claim that TMP fares no better than MP with respect to explaining this correlation is false.

Bizarre delusions are not specific to schizophrenia and can be found in other psychotic disorders. However, to date, there are no studies investigating socio-demographic and clinical characteristics associated with BizD across the psychosis spectrum. In this study 819 subjects with a diagnosis of SZ, schizoaffective disorder and bipolar I disorder were included. Patients with history of BizD and with no BizD were compared with respect to socidemographic and clinical variables, and predictors of BizD were explored. Patients with BizD were less (...) educated, less likely to be married, had higher Positive and Negative Syndrome Scale negative scores and lower Young Mania Rating Scale scores. Younger age, SZ and SZA diagnoses, higher PANSS positive scores, presence of reference delusions, tactile and olfactory hallucinations were predictors. Our results indicate that BizD are associated with higher illness severity, lower functionality and specific set of symptoms. (shrink)

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

There have been many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms, beyond merely providing the basis for the shapes and sizes of biological molecules and their chemical affinities. These range from Schr¨odinger’s suggestion that quantum fluctuations produce mutations, to Hameroff and Penrose’s conjecture that quantum coherence in microtubules is linked to consciousness. I review some of these claims in this paper, and discuss the serious problem of decoherence. I advance some further (...) conjectures about quantum information processing in bio-systems. Some possible experiments are suggested. © 2004 Elsevier Ireland Ltd. All rights reserved. (shrink)

It is widely accepted that EinstcinRi7;s general theory of relativity is an satisfactory description of gravity 0nly in the macroscopic limit, where quantum eiTcc1;s may be neglected. Presumably this theory is inapplicable at the Planck length, but recently much attention has been devoted to gravitational theory at intermediate length scales where quantum affects 0f matter are inescapable, but where there is an general assumption that the gravitational Held may bc treated as a classical background, augmented if necessary by quamtizcd linearized (...) pertur-. (shrink)

A One Health approach holds great promise for attenuating the risk and burdens of emerging infectious diseases (EIDs) in both human and animal populations. Because the course and costs of EID outbreaks are difficult to predict, One Health policies must deal with scientific uncertainty, whilst addressing the political, economic and ethical dimensions of communication and intervention strategies. Drawing on the outcomes of parallel Delphi surveys conducted with policymakers in Singapore and Australia, we explore the normative dimensions of two different precautionary (...) approaches to EID decision-making—which we call regimes of risk management and organizing uncertainty, respectively. The imperative to act cautiously can be seen as either an epistemic rule or as a decision rule, which has implications for how EID uncertainty is managed. The normative features of each regime, and their implications for One Health approaches to infectious disease risks and outbreaks, are described. As One Health attempts to move upstream to prevent rather than react to emergence of EIDs in humans, we show how the approaches to uncertainty, taken by experts and decision-makers, and their choices about the content and quality of evidence, have implications for who pays the price of precaution, and, thereby, social and global justice. (shrink)

In this sweeping survey, acclaimed science writers Paul Davies and John Gribbin provide a complete overview of advances in the study of physics that have revolutionized modern science. From the weird world of quarks and the theory of relativity to the latest ideas about the birth of the cosmos, the authors find evidence for a massive paradigm shift. Developments in the studies of black holes, cosmic strings, solitons, and chaos theory challenge commonsense concepts of space, time, and matter, and demand (...) a radically altered and more fully unified view of the universe. (shrink)

We study the response of a uniformly accelerated model particle detector in a spacetime with compact spatial sections. The basic thermal character of the response re-emerges, in spite of the fact that the spacetime does not possess event horizons. Our model also permits a study of detector response to twisted field states.