Beginning with Anderson, spontaneous symmetry breaking in infinite quantum systems is often put forward as an example of emergence in physics, since in theory no finite system should display it. Even the correspondence between theory and reality is at stake here, since numerous real materials show ssb in their ground states, although they are finite. Thus against what is sometimes called ‘Earman's Principle’, a genuine physical effect seems theoretically recovered only in some idealisation, disappearing as soon as the idealisation is (...) removed.We review the well-known arguments that no finite system can exhibit ssb, using the formalism of algebraic quantum theory in order to control the thermodynamic limit and unify the description of finite- and infinite-volume systems. Using the striking mathematical analogy between the thermodynamic limit and the classical limit, we show that a similar situation obtains in quantum mechanics versus classical mechanics.This discrepancy between formalism and reality is quite similar to the measurement problem, and hence we address it in the same way, adapting an argument of the Landsman and Reuvers that was originally intended to explain the collapse of the wave-function within conventional quantum mechanics. Namely, exponential sensitivity to perturbations of the dynamics as the system size increases causes symmetry breaking already in finite but very large quantum systems. This provides continuity between finite- and infinite-volume descriptions of quantum systems featuring ssb and hence restores Earman's Principle. (shrink)

Studies in Stoicism contains six unpublished and seven republished essays, the latter incorporating additions and changes which Brunt wished to be made. The papers have been integrated and arranged in chronological order by subject matter, with an accessible lecture to the Oxford Philological Society serving as Brunt's own introduction.

The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and conceptual, but mostly technical and mathematically rigorous, including over 500 references. For example, we sketch how certain intuitive ideas of the founders of quantum theory have fared in the light of current mathematical knowledge. One such idea that has certainly stood the test of time is (...) Heisenberg's `quantum-theoretical Umdeutung (reinterpretation) of classical observables', which lies at the basis of quantization theory. Similarly, Bohr's correspondence principle (in somewhat revised form) and Schroedinger's wave packets (or coherent states) continue to be of great importance in understanding classical behaviour from quantum mechanics. On the other hand, no consensus has been reached on the Copenhagen Interpretation, but in view of the parodies of it one typically finds in the literature we describe it in detail. On the assumption that quantum mechanics is universal and complete, we discuss three ways in which classical physics has so far been believed to emerge from quantum physics, namely in the limit h -> 0 of small Planck's constant (in a finite system), in the limit N goes to infinity of a large system with $N$ degrees of freedom (at fixed h), and through decoherence and consistent histories. The first limit is closely related to modern quantization theory and microlocal analysis, whereas the second involves methods of C*-algebras and the concepts of superselection sectors and macroscopic observables. In these limits, the classical world does not emerge as a sharply defined objective reality, but rather as an approximate appearance relative to certain ``classical" states and observables. Decoherence subsequently clarifies the role of such states, in that they are ``einselected", i.e. robust against coupling to the environment. Furthermore, the nature of classical observables is elucidated by the fact that they typically define (approximately) consistent sets of histories. This combination of ideas and techniques does not quite resolve the measurement problem, but it does make the point that classicality results from the elimination of certain states and observables from quantum theory. Thus the classical world is not created by observation (as Heisenberg once claimed), but rather by the lack of it. (shrink)

The impact of digital media and technology on performance arts is evident when digital visual effects (VFX) filming techniques are introduced on a film set. Digital technologies influence the film actor’s approach to be congruent to and authentic within the circumstances of the scene. Actors require an effective skillset and strategies to successfully deliver an embodied performance aligning with the various digital VFX techniques. Focusing on imagination, action and emotion that would facilitate such an embodied performance, we drew on relevant (...) neuroscientific notions such as neuron reactivation, conceptual blending, as-if body states and affordances. Additionally, we incorporated relevant embodied performance concepts from Stanislavski, Laban/Bartenieff Movement Studies, Effector Patterns including the Emotional Body Approach and Lessac Kinesensics to the development of a digital acting programme, advancing the actor’s required skills and providing on-set digital acting strategies to support congruency with digital VFX and authenticity within the diegetic reality. The efficacy of this programme was determined by assessing pre- and post-intervention recordings of both a control and an experimental group of trained actors. Reflection-on-action journals from participants supplemented the assessment. The assessments and journals indicate that the acquired skillset and on-set digital acting strategies effectively improve the actor’s performance with digital VFX filming technology. (shrink)

Einstein's philosophy of physics (as clarified by Fine, Howard, and Held) was predicated on his Trennungsprinzip, a combination of separability and locality, without which he believed objectification, and thereby "physical thought" and "physical laws", to be impossible. Bohr's philosophy (as elucidated by Hooker, Scheibe, Folse, Howard, Held, and others), on the other hand, was grounded in a seemingly different doctrine about the possibility of objective knowledge, namely the necessity of classical concepts. In fact, it follows from Raggio's Theorem in algebraic (...) quantum theory that - within an appropriate class of physical theories - suitable mathematical translations of the doctrines of Bohr and Einstein are equivalent. Thus - upon our specific formalization - quantum mechanics accommodates Einstein's Trennungsprinzip if and only if it is interpreted a la Bohr through classical physics. Unfortunately, the protagonists themselves failed to discuss their differences in this constructive way, since their debate was dominated by Einstein's ingenious but ultimately flawed attempts to establish the "incompleteness" of quantum mechanics. This aspect of their debate may still be understood and appreciated, however, as reflecting a much deeper and insurmountable disagreement between Bohr and Einstein about the knowability of Nature. Using the theological controversy on the knowability of God as a analogy, we can say that Einstein was a Spinozist, whereas Bohr could be said to be on the side of Maimonides. Thus Einstein's off-the-cuff characterization of Bohr as a 'Talmudic philosopher' was spot-on. (shrink)

Optimism has reigned supreme for a long time regarding the potential of education (schooling) to address the many societal ailments that humankind has had to deal with. The outbreak of the COVID-19 pandemic in March 2020 shifted all such aspirations to the back-burner. Now, after just more than a year after the initial outbreak of the pandemic, the question can be raised whether those who managed the pandemic in the educational context followed the correct policies and instituted the correct (ethical, (...) moral) measures in combatting the pandemic. This comparison between the situation in the Netherlands and South Africa reveals that although the role-players in both countries had a good understanding of the situation and of their duties in such conditions, they tended to treat education as just another facet of society, thereby demonstrating a lack of empathy with the unique demands of education (schooling). CONTRIBUTION: In this article, the authors investigate the governance performance of two different countries during the first year of the COVID-19 pandemic concerning education and judge that performance based on a Biblically driven ethical-moral-pedagogical framework. (shrink)

The South African-Dutch research group responsible for this article started its activities in 2012 by looking at religious tolerance as a means of addressing the tendency for religious intolerance, extremism and fundamentalism. While tolerance seemed to be a promising way to counter religious intolerable behaviour, some shortcomings also became apparent. For example, the concept of tolerance includes an aspect of passivity towards others who adhere to another religion. The concept also does not appear to be able to respond to attitudes (...) and values such as respect, human rights and diversity. Accurate investigation of this problem, both conceptually and empirically, led to the understanding that hospitality is a concept that embodies more active adaptation to those who are different. Hospitality, therefore, seems to be a more promising concept than tolerance for reducing religious tension between individuals and groups. The inner contradiction discovered by Derrida in the notion of hospitality does not detract from the concept of being defined from a Biblical point of view. Hospitality can also be taught to young people. Although there are no formal provisions for hospitality in the national curricula, an analysis of the Dutch and South African national curricula shows that there is room for hospitality education. (shrink)

Bijdragen aan een congres waarin de integriteit van juridische professionals bediscussieerd wordt.

The major significance of the German naturalist-physician Johann Friedrich Blumenbach (1752–1840) as a topic of historical study is the fact that he was one of the first anthropologists to investigate humankind as part of natural history. Moreover, Blumenbach was, and continues to be, a central figure in debates about race and racism. How exactly did Blumenbach define race and races? What were his scientific criteria? And which cultural values did he bring to bear on his scheme? Little historical work has (...) been done on Blumenbach’s fundamental, influential race work. From his own time till today, several different pronouncements have been made by either followers or opponents, some accusing Blumenbach of being the fountainhead of scientific racism. By contrast, across early nineteenth-century Europe, not least in France, Blumenbach was lionized as an anti-racist whose work supported the unity of humankind and the abolition of slavery. This collection of essays considers how, with Blumenbach and those around him, the study of natural history and, by extension, that of science came to dominate the Western discourse of race. (shrink)

This book brings together both new and previously published essays on the Greek political history of the fifth century BC and historiography. It examines the relationship between philosophy and social/political conditions, and includes a new analysis of Aristotle's views on slavery and a discussion of the practicality of Plato's political theories.

We clarify the role of the Born rule in the Copenhagen Interpretation of quantum mechanics by deriving it from Bohr's doctrine of classical concepts, translated into the following mathematical statement: a quantum system described by a noncommutative C*-algebra of observables is empirically accessible only through associated commutative C*-algebras. The Born probabilities emerge as the relative frequencies of outcomes in long runs of measurements on a quantum system; it is not necessary to adopt the frequency interpretation of single-case probabilities (which will (...) be the subject of a sequel paper). Our derivation of the Born rule uses ideas from a program begun by Finkelstein (1965) and Hartle (1968), intending to remove the Born rule as a separate postulate of quantum mechanics. Mathematically speaking, our approach refines previous elaborations of this program - notably the one due to Farhi, Goldstone, and Gutmann (1989) as completed by Van Wesep (2006) - in replacing infinite tensor products of Hilbert spaces by continuous fields of C*-algebras. In combination with our interpretational context, this technical improvement circumvents valid criticisms that earlier derivations of the Born rule have provoked, especially to the effect that such derivations were mathematically flawed as well as circular. Furthermore, instead of relying on the controversial eigenvector-eigenvalue link in quantum theory, our derivation just assumes that pure states in classical physics have the usual interpretation as truthmakers that assign sharp values to observables. (shrink)

This article investigates the naturalisation of the Bible. Three voices are of special importance in the narrative presented in this article; they are Aristotle, Rene Descartes and Baruc Spinoza. This article will investigate the scientific method and metaphysics espoused by each of the three scholars, thereby highlighting changes in scientific method and metaphysics that lead to the naturalisation of the Bible. Firstly, Aristotle pioneered a scientific method that would dominate for centuries, as well as a highly influential metaphysics. Secondly, Descartes, (...) witnessing the horrors of the Thirty Years War and seeing first-hand the new discoveries that brought about the scientific revolution, reacted against Aristotle’s metaphysics. Ironically he then used Aristotle’s scientific method to provide a foundation for the new science resulting in Descartes’s famous dualism. Thirdly, Spinoza, equally horrified by the amount of religious violence of his time, reacts against Descartes’s dualism, providing scholars with a monist metaphysics that would contribute greatly to the naturalisation of the Bible. This article will be relevant to theologians who wish to engage more fully with contemporary Western culture. (shrink)

Theologians are used to pointing the finger at European continental postmodernism when dealing with modern relativism. This article addresses a problem that is seldom highlighted within theology: modern relativism is the result of a series of epistemological discussions that took place during the early Enlightenment between scholars such as Rene Descartes, John Locke and Immanuel Kant. They were reacting, in part, to Aristotle’s metaphysics and logic. When the whole picture unravels, one immediately sees that modern relativism is deeply ingrained in (...) Western thought. In other words, modern relativism will not gather dust after the demise of postmodernism. To the contrary, this article would argue that modern relativism will continue to pose serious challenges to reformed churches in future. Pastors who want to engage with Western audiences will benefit from being made aware of this. Hopefully this will encourage theologians to re-evaluate the relevancy of reformed theological constructs in societies that are deeply steeped in relativist thought. (shrink)

A Dutch 'folk theorem' holds that 'from exchange it comes to tears'. This seems to contradict the basic idea found in economics that exchange and trade can make both sides better off. We show that the 'folk theorem' has a better theoretical foundation than sometimes thought, as it is vindicated by the equilibrium of an exchange game with two-sided asymmetric information. We, then, explain the practical value of such 'folk wisdom' in the real world by showing why players might be (...) unlikely to learn such an equilibrium strategy. (shrink)

Line 24 on page 218 in the July number of this volume of Philosophy should read as follows: naturally out of matter itself lifeless or that consciousness and intelli-.

In a recent article on the Vettius affair Professor Lily Ross Taylor has tried to show that this letter should be dated to mid-July 59, and that it is therefore antecedent to 2. 20, 21, and 22. According to the hitherto accepted view the letters 2. According to the hitherto accepted view the letters 2. 18–25 are given by the manuscripts in the right chronological order, and since 21 is certainly later than Pompey's contio on 25 July , 23 and (...) 24 must fall later in the year; a terminus ante quem for the description of the Vettius affair in 24 is to be found in in Vat. 25, which shows that L. Lentulus, one of the persons Vettius implicated, was then a candidate for the consulship and that the letter is therefore antecedent to the consular elections, postponed by Bibulus' edict to 18 October . The purpose of this note is to defend this view and show that Professor Taylor's new dating is wrong. (shrink)

Discussions of the constitution of the Principate are usually focused on the powers of the emperor, and relatively little attention is given to the role of the senate; by exception much has been written on its jurisdiction, with which I shall not be concerned. Despite his theory of a dyarchy of emperor and senate, which I do not wish to revive, Mommsen, partly because he devoted separate volumes to each, did I not exhibit the extent to which Augustus and Tiberius (...) at least worked through the senate, and on occasions attributed to them legal powers to act by their own authority, when in reality they caused the senate to take action as the only proper means of effecting their wishes. More recently, F. de Martino in his admirable account of the Principate dedicates only one out of twenty-seven chapters to the composition, functions and procedure of the senate. For Syme it was simply an ‘organ that advertised or confirmed the decisions of the government’. This description does not bring out the truth that it was performing a role essential to Augustus' design. For though in effect he founded a monarchy, he commonly thought it expedient on necessary obtain for his measures senatorial approval. That this was the practice of Tiberius in his early years is clearly attested, and some suppose that he behaved in an entirely different manner from Augustus. This view seems to be mistaken, and the mistake is of some consequence. (shrink)

The modern historian of Greece and Rome often depends for his information on writings whose reliability is no greater, though often much less, than that of the histories, now lost in whole or part, which their authors followed. The quality of these histories can sometimes be detected from the internal evidence of the extant derivative accounts, even when we cannot name the historians with any certainty.

Ideology, especially in relation to science, has a negative connotation and is used in a pejorative sense. During the past few decades, historians of science have begun to argue that all biology is and was embedded in sociopolitical ideology. Ernst Mayr has insisted that Darwinism was not an ideology, but rather an “anti-ideology” that for the first time in history attributed the origin of species to natural causes. This chapter challenges the view that there was no scientific alternative to Darwinian (...) evolution. On the contrary, it contends that a naturalistic theory of the origin of species existed long before Charles Darwin, that this theory represented a scientific alternative to Darwinism, and that Darwin refused to engage with it for reasons of strategy. The chapter also argues that the Darwinian choice did good to the life sciences but also caused damage as a result of scientific shortcomings that were essential to Darwin's positions. In other words, it supports the contention that Darwinian biology bears the hallmark of an ideology. (shrink)