A misconception regarding the ultrastructural basis of myocardial failure has been observed in laboratory studies involving medical students and practicing physicians, in medical textbooks, and in clinical instruction of students. This misconception attributes heart failure to overextension of individual cardiac muscle fibres and their sarcomeres, resulting in a mechanically based decline in contractile force production. The basis of the misconception is a set of component misconceptions which interact in reciprocally supportive ways. The interlocking nature of the component misunderstandings strengthens the (...) overall misconception, making it difficult to undermine. A contributor to many aspects of the faulty account of heart failure is a tendency toward oversimplification of complex phenomena in learning, instruction, and scientific research. Implications for medical education are considered. (shrink)

Coral bleaching has impacted reefs worldwide and the predictions of near‐annual bleaching from over two decades ago have now been realized. While technology currently provides the means to predict large‐scale bleaching, predicting reef‐scale and within‐reef patterns in real‐time for all reef users is limited. In 2020, heat stress across the Great Barrier Reef underpinned the region's third bleaching event in 5 years. Here we review the heterogeneous emergence of bleaching across Heron Island reef habitats and discuss the oceanographic drivers that (...) underpinned variable bleaching emergence. We do so as a case study to highlight how reef end‐user groups who engage with coral reefs in different ways require targeted guidance for how, and when, to alter their use of coral reefs in response to bleaching events. Our case study of coral bleaching emergence demonstrates how within‐reef scale nowcasting of coral bleaching could aid the development of accessible and equitable bleaching response strategies on coral reefs. Also see the video abstract here: https://youtu.be/N9Tgb8N-vN0. (shrink)

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)

The proposition that a decreasing sequence of ordinals necessarily terminates has been given a new, and perhaps unexpected, importance by the rôle which it plays in Gentzen's proof of the freedom from contradiction of the “reine Zahlentheorie.” Gödel's construction of non-demonstrable propositions and the establishment of the impossibility of a proof of freedom from contradiction, within the framework of a certain type of formal system, showed that a proof of freedom from contradiction could be found only by transcending the axioms (...) and proof processes of that formal system. Gentzen's proof succeeds by utilisingtransfinite inductionto prove that certain sequences of reduction processes, enumerated by ordinals less than ε (the first ordinal to satisfy ε = ὡ) are finite. Were it possible to provethe restricted ordinal theorem, that a descending sequence of ordinals, less thanε, is finite, in Gentzen's “reine Zahlentheorie,” then it would be possible to determine a contradiction in that number system. In his paper, Gentzen proves the theorem of transfinite induction, which he requires, by an intuitive argument. There is also a method of reducing transfinite induction, for ordinals less than ε, to a number-theoretic principle given by Hilbert and Bernays, and a similar method by Ackermann. None of these proofs of transfinite induction isfinitist. (shrink)

I propose to begin with some fairly unexciting and uncontroversial remarks about possibility-statements, and then in their light to examine two problems philosophers have raised about certain statements of this kind which might be made in Christian theology where it touches on the doctrine of the Incarnation.

Mr D. H. Mellor, in his article of this title in Religious Studies , Vol. 5 , distinguishes three senses of words such as ‘probable’ which might be used in a religious context, especially in that of attempted theistic proofs: statistical, subjective, and inductive probability. In each case he concludes that it is misleading to use these words in such contexts at all. With his discussion of the second I do not wish to quarrel; but there seem to me to (...) be serious defects in his discussions of the first and third. (shrink)

Alberto Cortes, in [1], attempts to show that Leibniz's Principle of The Identity of Indiscernibles is a principle restricted to individuals, and that photons appear to violate L. L is stated by Leibniz as “no two substances are completely similar, or differ solo numero.” In second-order quantification theory with identity L becomes.

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.

‘Jason…chosen leader because his superior declines the honour, subordinate to his comrades, except once, in every trial of strength, skill, or courage, a great warrior only with the help of magical charms, jealous of honour but incapable of asserting it, passive in the face of crisis, timid and confused before trouble, tearful at insult, easily despondent, gracefully treacherous in his dealings with the love-sick Medea but cowering before her later threats and curses, coldly efficient in the time-serving murder of an (...) unsuspecting child , reluctant even in marriage.’ So Carspecken put the case against Jason's heroism. In the face of such an indictment, Lawall's plea in mitigation, ‘it must be admitted that [Jason] often reveals the qualities of a true gentleman’, seems somehow inadequate. Criticism since Carspecken has found various overlapping categories for Jason which both take account of the earlier negative judgements and preserve the centrality of his ‘personality’ and character in the poem: Jason is the quiet diplomat who works through consensus rather than force, his is a heroism of sex-appeal, he is an anti-hero, the embodiment of Sceptic ‘suspension of judgement’, or, alternatively, he is ‘one of us’, credible and lifelike. Carspecken himself tried a different tack: the poem is concerned not with individual heroism but with the heroism of the group. (shrink)

When philosophers approach philosophy of religion, they typically ask two questions: are there any sound arguments to prove the existence of God; and is talk about God even rationally intelligible? Theologians, for their part, primarily expound the meaning and relevance of Christianity. I am by profession a philosopher, but apart from Secs. VI and VII I am here writing as a puzzled twentieth-century man. My prime worry is whether we philosophers and theologians are beginning with the right questions.

The ‘traditional’ view among philosophical theologians, that God is eternal not merely in the sense of being everlasting but in the sense of being outside time altogether, has come under sharp criticism in recent years, both from biblical theologians and from philosophers. It is against the latter form of attack, particularly as represented by the detailed criticisms of Professor Nelson Pike, that I wish to try and defend the notion of a divine timelessness.