In 2001, Le Bars proved that there exists an existential monadic second-order sentence such that the probability that it is true on [Formula: see text] does not converge and conjectured that, for EMSO sentences with two first-order variables, the zero–one law holds. In this paper, we prove that the conjecture fails for [Formula: see text], and give new examples of sentences with fewer variables without convergence.

Background Health care professionals have to judge the appropriateness of treatment in critical care on a daily basis. There is general consensus that critical care interventions should not be performed when they are inappropriate. It is not yet clear which chances of survival are considered necessary or which risk for serious disabilities is acceptable in quantitative terms for different stakeholders to start intensive care treatment. Methods We performed an anonymous online survey in a random sample of 1,052 participants recruited via (...) email invitation and social media. Age, sex, nationality, education, professional involvement in health care, critical care medicine and treatment decisions in critical care medicine as well as personal experience with critical illness were assessed as potential influencing variables. Participants provided their opinion on the necessary chances of survival and the acceptable risk for serious disabilities to start a high-risk or uncomfortable therapy for themselves, relatives or for their patients on a scale of 0–100%. Results Answers ranged from 0 to 100% for all questions. A three-peak pattern with different distributions of the peaks was observed. Sex, education, being a health care professional, being involved in treatment decisions and religiosity influence these opinions. Male respondents and those with a university education would agree that a risky and uncomfortable treatment should be started even with a low chance of survival for themselves, relatives and patients. More respondents would choose a lower necessary chance of survival when deciding for patients compared to themselves or relatives to start a risky and uncomfortable treatment. On the other hand, the majority of respondents would accept only a low risk of severe disability for both themselves and their patients. Conclusion No cut-off can be identified for the necessary chances of survival or the acceptable risk of disability to help quantify the “inappropriateness” of critical care treatment. Sex and education are the strongest influencing factors on this opinion. The large variation in personal opinions, depending on demographic and personality variables and education needs to be considered in the communication between health care professionals and patients or surrogates. (shrink)

In Chinese scholarship, Xunzi is often regarded as an eclectic Confucian master who accepted some form of utilitarian thoughts (e.g. Fung Yu-lan, Mou Zongsan and Xu Fuguan). This characteristic was also observed by some western scholars such as Benjamin I. Schwartz. In a recent study, I argued that the basic character of Xunzi’s philosophy is utilitarianism in a broad sense based on an examination on his intellectual criticism and political criticism. Xunzi asserts that humans are innately driven by self-interested desires, (...) and he evaluates all intellectual works and political behaviours by their utility. However, he does not limit utility to only basic animal desires such as food and sex. In Xunzi’s view, humans also have innate emotions; hence, these emotions should also be accounted for in their utility. This is similar to John Stuart Mill’s redefinition of Bentham’s concept of utility. Are Xunzi’s and Mill’s concepts of utility exactly the same? This question has yet to be examined. This article is a comparative study between utilitarianism and Xunzi’s philosophy which especially explores the compatibility of these two philosophies. (shrink)

The usual definition of (non-contextual) hidden variables is found to be too restrictive, in the sense that, according to it, even some classical systems do not admit hidden variables. A more general concept is introduced and the term “approximate hidden variables” is used for it. This new concept avoids the aforementioned problems, since all classical systems admit approximate hidden variables. Standard quantum systems do not admit approximate hidden variables, unless the corresponding Hilbert space is 2-dimensional. However, an appropriate non-standard quantum (...) system, which arises by focussing on momentum and position and neglecting the remaining observables, admits approximate hidden variables. Systems associated with JBW-algebras (resp. von Neumann algebras) and satisfying some mild conditions admit approximate hidden variables iff they are classical, that is, iff the corresponding JBW-algebra (resp. von Neumann algebra) is associative (resp. commutative). (shrink)

A logically perfect language must meet following requirements: (i) it must not contain „empty“ expressions designating nothing and (ii) it must not involve phrases that are synonymous, homonymous etc. According to Frege, the meaning of a compound expression is a function of meanings of its components, i.e. the meaning of an expression consisting of a functional phrase and a name is the value of the function for the argument. However, for some arguments a function need not give values and, hence, (...) some compound phrases designate nothing in spite of the fact that every simple expression does designate something. Frege’s construction of a logically perfect language fails because it violates condition (i). According to Wittgenstein, every language is logically perfect; otherwise it cannot represent the world. Every expression, simple or compound, does designate something; the meaning of a compound expression consists of meanings of its components; the structure of a complex expression’s meaning mirrors, when completely analysed, the syntactic structure of the expression. Wittgenstein distinguishes between language and notation and we are supposed to look for a logically perfect notation that does not contain homonymy or synonymy. However, following some ideas from Tractatus, it can be shown that Wittgenstein cannot eliminate these phenomena and, hence, violates condition (ii). (shrink)

The paper deals with the understanding of proper names. Though the theme goes across various disciplines – e.g. semantics, epistemology, psychology – the paper examines only selected semantic and cognitive aspects of the problem. The question runs: How should we comprehend the thesis of understanding a proper name as knowing what the name refers to? What kind of knowledge is involved here? The question is posed within the direct reference theory framework enriched by the notion of singular proposition and the (...) compositionality principle. The distinction between an expression and an utterance of it is accepted and the original question is split up accordingly. As for expressions , to understand a proper name is to grasp a meaning axiom along the lines of D. Davidson and J. McDowell. As for utterances of expressions, to understand an utterance of a proper name is to know a piece of information concerning the referent of the name; ideally, it is a fact that can be expressed by an identity statement claiming that the referent of the name under discussion is identical with the individual about which the speaker has a mental file at her disposal. (shrink)

In 2005 St Andrews Studies published a volume of essays by Anscombe entitled Human Life, Action and Ethics, followed in 2008 by a second with the title Faith in a Hard Ground. Both books were highly praised. This third volume brings essays on the thought of historical philosophers in which Anscombe engages directly with their ideas and arguments. Many are published here for the first time and the collection provides further testimony to Anscombe's insight and intellectual imagination.