The received wisdom in statistical mechanics is that isolated systems, when left to themselves, approach equilibrium. But under what circumstances does an equilibrium state exist and an approach to equilibrium take place? In this paper we address these questions from the vantage point of the long-run fraction of time definition of Boltzmannian equilibrium that we developed in two recent papers. After a short summary of Boltzmannian statistical mechanics and our definition of equilibrium, we state an existence theorem which provides general (...) criteria for the existence of an equilibrium state. We first illustrate how the theorem works with a toy example, which allows us to illustrate the various elements of the theorem in a simple setting. After a look at the ergodic programme, we discuss equilibria in a number of different gas systems: the ideal gas, the dilute gas, the Kac gas, the stadium gas, the mushroom gas and the multi-mushroom gas. In the conclusion we briefly summarise the main points and highlight open questions. (shrink)

Tradução para o português do verbete sobre Sexto Empírico, de Charlotte Stough, retirado de Jonathan Dancy e Ernest Sosa (org.) A Companion to Epistemology (Oxford: Blackwell, 1997), pp. 475-477.

In cases of complicity in one’s own unfreedom and in structural injustice, it initially appears that agents are only vicariously responsible for their complicity because of the roles circumstantial and constitutive luck play in bringing about their complicity. By drawing on work from the phenomenological tradition, this paper rejects this conclusion and argues for a new responsive sense of agency and responsibility in cases of complicity. Highlighting the explanatory role of stubbornness in cases of complicity, it is argued that although (...) agents may only be vicariously responsible for becoming complicit, they can be held more directly responsible for entrenching their complicity. The complicit agent is responsible for their complicity to the extent that they fail to take responsibility for it. (shrink)

Boltzmannian statistical mechanics partitions the phase space of a sys- tem into macro-regions, and the largest of these is identified with equilibrium. What justifies this identification? Common answers focus on Boltzmann’s combinatorial argument, the Maxwell-Boltzmann distribution, and maxi- mum entropy considerations. We argue that they fail and present a new answer. We characterise equilibrium as the macrostate in which a system spends most of its time and prove a new theorem establishing that equilib- rium thus defined corresponds to the largest (...) macro-region. Our derivation is completely general in that it does not rely on assumptions about a system’s dynamics or internal interactions. (shrink)

This article discusses an interpretation of Kant's conception of transcendental subjectivity, which manages to avoid many of the concerns that have been raised by analytic interpreters over this doctrine. It is an interpretation put forward by selected C19 and early C20 neo-Kantian writers. The article starts out by offering a neo-Kantian interpretation of the object as something that is constituted by the categories and that serves as a standard of truth within a theory of judgment. The second part explicates transcendental (...) subjectivity as the system of categories, which is self-referential and constitutes objects, in order to then evaluate this conception by means of a comparison with Hegel's absolute subject. Rather than delineating the differences between neo-Kantian writers, the article systematically expounds a shared project, which consists in providing the ultimate foundation for judgments by means of an anti-psychologist and non-metaphysical interpretation of transcendental subjectivity. (shrink)

With Hegel’s metaphysics attracting renewed attention, it is time to address a long-standing criticism: Scholars from Marx to Popper and Habermas have worried that Hegel’s metaphysics has anti-individualist and authoritarian implications, which are particularly pronounced in his Philosophy of History, since Hegel identifies historical progress with reason imposing itself on individuals. Rather than proposing an alternative non-metaphysical conception of reason, as Pippin or Brandom have done, this article argues that critics are broadly right in their metaphysical reading of Hegel’s central (...) concepts. However, they are mistaken about what Hegel’s approach entails, when one examines the specific types of states discussed by the philosopher in his Philosophy of History. Even on a traditional metaphysical reading, Hegel is not only non-authoritarian; he also makes a powerful argument concerning freedom, whereupon the freest society involves collective oversight and the shaping of social structures so as to ensure that they benefit everybody. (shrink)

The neo-Kantian Hermann Cohen is famously anti-empiricist in that he denies that sensations can make a definable contribution to knowledge. However, in the second edition of Kant’s Theory of Experience (1885), Cohen considers a proposition that contrasts with both his other work and that of his followers: a Kantian who studies scientific claims to truth—and the grounds on which they are made—cannot limit himself to studying mathematics and logical principles, but needs to also investigate underlying presuppositions about the empirical element (...) of science. Due to his subjectivist approach, Cohen argues, Kant not only failed to explain how scientific observation and experiments are possible, but also misconceived the role of the ideas, particularly the idea of a system of nature. (shrink)

Picking up on Marx’s and Hegel’s analyses of human beings as social and individual, the article shows that what is at stake is not merely the possibility of individuality, but also the correct conception of the universal good. Both Marx and Hegel suppose that individuals must be social or political as individuals, which means, at least in Hegel’s case, that particular interests must form part of the universal good. The good and the rational is not something that requires sacrificing one’s (...) interests for the community or denying one’s particular character so as to become an equal rational agent. Very much to the contrary, the rational or the common good is nothing but the harmonious structuring of particular interests. While Section I introduces Marx’s and Hegel’s conceptions of individual and social beings, Sections II and III discuss their respective views of individuality, and Sections IV and V discuss the notion of a universal good containing individual interests. (shrink)

This study primarily assessed students' achievement in mathematics using a mobile educational application to help them learn and adapt to changes in education. The study involved selected Grade 9 students at a public high school in Nueva Vizcaya, Philippines. This study used a quasi-experimental method, particularly a post-test control group design. Descriptive statistics such as frequencies, percent, mean, and standard deviation were used to describe the achievement of the students in mathematics. A t-test for independent samples was also computed to (...) determine if there is a significant difference between the students’ achievement in mathematics after using the mobile educational application by the control and experimental groups. Results revealed that students' achievement in mathematics was very proficient after using the application. Moreover, the usage of educational mobile applications has a better impact on students' achievement in mathematics than the traditional approach to teaching. Teachers are encouraged to place priority on solving problems. Overall, the use of the mobile educational application can enhance learning in mathematics, thus the continued use of the said application is advised. (shrink)

An important question confronting feminist philosophers is why women are sometimes complicit in their own subordination. The dominant view holds that complicity is best understood in terms of adaptive preferences. This view assumes that agents will naturally gravitate away from subordination and towards flourishing as long as they do not have things imposed on them that disrupt this trajectory. However, there is reason to believe that ‘impositions’ do not explain all of the ways in which complicity can arise. This paper (...) defends a phenomenological account of complicity, which offers an alternative explanation. (shrink)

ABSTRACT Testimony from victims of gendered violence is often wrongly disbelieved. This paper explores a way to address this problem by developing a phenomenological approach to testimony. Guided by the concept of ‘disclosedness’, a tripartite analysis of testimony as an affective, embodied, communicative act is developed. Affect indicates how scepticism may arise through the social moods that often attune agents to victims’ testimony. The embodiment of meaning suggests testimony should not be approached as an assertion, but as a process of (...) ‘articulating an understanding’. This account is deepened in the discussion of testimony as a communicative act. It is argued that testimony must be considered as a relational whole, and thus our aim in receiving victims’ testimony should be to honour the relational conditions under which the truth of testimony can be heard. Approaching testimony as the collaborative process of enabling an understanding to be articulated can enhance our conception of gendered violence, whilst also better serving the victims of gendered violence by helping to overcome the lack of trust and excessive scepticism with which victims’ testimony is often met. (shrink)

Many interpreters argue that irrational acts of exchange can count as rational and civic-minded for Hegel—even though, admittedly, the persons who are exchanging their property are usually unaware of this fact. While I do not want to deny that property exchange can count as rational in terms of ‘mutual recognition’ as interpreters claim, this proposition raises an important question: What about the irrationality and arbitrariness that individuals as property owners and persons consciously enjoy? Are they mere vestiges of nature in (...) Hegel’s system, or do they constitute a simple yet valid form of freedom that is not only a part of Hegel’s rational system of right, but its necessary starting point? I will argue the latter: The arbitrary, purely egoist self-definition of property owners is the simplest possible type of freedom for Hegel, which he dissects in order to show how the very arbitrary self-definition implicitly relies on an identity between persons, and hence foreshadows the more social forms of freedom Hegel will discuss later in his book. I make this argument by highlighting Hegel’s references to his discussion of atoms and freedom in his Logic of Being. (shrink)

While Hegel's metaphysics was long reviled, it has garnered more interest in recent years, with even the so-called non-metaphysical Hegelians starting to explicitly discuss Hegel’s metaphysical commitments. This brings up the old question: what are the social-philosophical implications of Hegel’s metaphysics? This chapter provides a unique answer to this question by contrasting the former non-metaphysical reading (as developed by Robert Pippin) with a traditional way of interpreting Hegel’s metaphysics and social philosophy, whose lineage includes not Wittgenstein, Sellars, or Brandom, but (...) rather Schelling, Marx, and Adorno. After discussing the two varieties of metaphysics (Sections 1–3), I will argue that a traditional metaphysical Hegel is more realist when it comes to assessing the power of social structures (Section 4), focused on structural freedom rather than agency (Sections 5 and 6), and more empowering for and lenient towards individuals who can make their interests count and are free to be irrational and egoist (Section 7). (shrink)

The core argument of this article is that Adorno adopts the distinction between an abstract and a concrete universal from Hegel and criticizes Hegel, on that basis, as abstract. The first two parts of the article outline that both thinkers take the abstract universal to be the form of a false type of knowledge and society, and the concrete universal to be a positive aim. However, as the third part argues, Adorno rejects how the concrete universal is understood in Hegel’s (...) philosophy and formulates a different conception of it. The fourth part questions if Adorno manages to overcome the problems he identifies in Hegel or whether they are inherent to the programme of dialectics both endorse. (shrink)

Garrett Cullity contends that fairness is appropriate impartiality (See Cullity (2004) Chapters 8 and 10 and Cullity (2008)). Cullity deploys his account of fairness as a means of limiting the extreme moral demand to make sacrifices in order to aid others that was posed by Peter Singer in his seminal article ‘Famine, Affluence and Morality’. My paper is founded upon the combination of (1) the observation that the idea that fairness consists in appropriate impartiality is very vague and (2) the (...) fact that psychological studies show the self-serving bias is especially likely to infect one’s judgements when the ideas involved are vague. I argue that Cullity’s solution to extreme moral demandingness is threatened by these findings. I then comment on whether some other theories of fairness are vulnerable to the same objection. (shrink)

This article argues that common intuitions regarding (a) the specialness of ‘use-novel’ data for confirmation and (b) that this specialness implies the ‘no-double-counting rule’, which says that data used in ‘constructing’ (calibrating) a model cannot also play a role in confirming the model’s predictions, are too crude. The intuitions in question are pertinent in all the sciences, but we appeal to a climate science case study to illustrate what is at stake. Our strategy is to analyse the intuitive claims in (...) light of prominent accounts of confirmation of model predictions. We show that on the Bayesian account of confirmation, and also on the standard classical hypothesis-testing account, claims (a) and (b) are not generally true; but for some select cases, it is possible to distinguish data used for calibration from use-novel data, where only the latter confirm. The more specialized classical model-selection methods, on the other hand, uphold a nuanced version of claim (a), but this comes apart from (b), which must be rejected in favour of a more refined account of the relationship between calibration and confirmation. Thus, depending on the framework of confirmation, either the scope or the simplicity of the intuitive position must be revised. (shrink)

Feminists have always been concerned with how the clothes women wear can reinforce and reproduce gender hierarchy. However, they have strongly disagreed about what to do in response: some have suggested that the key to feminist liberation is to stop caring about how one dresses; others have replied that the solution is to give women increased choices. In this paper, we argue that neither of these dominant approaches is satisfactory and that, ultimately, they have led to an impasse that pervades (...) the contemporary feminist debate. The problem is that both sides of the debate understand women’s complicity in patriarchal subordination as a matter of what women wear and do. Instead, we propose a phenomenological analysis that understands complicity as based in our relations to our clothes. Starting from this phenomenological perspective, we sketch a new relational feminist ethics of dressing. This alternative ethical paradigm cannot yield a simple recipe for how to dress or tell us what garments are off-limits. But it can offer a way to make critical feminist judgements about clothes without veering into a stifling new prescriptivism. (shrink)

This study investigates the effect of mobile app on students’ Behavioral engagement, Confidence with technology, Mathematics confidence, Affective engagement, and Mathematics with technology. Grade 9 students were provided with mobile apps to support them in studying mathematics during distance learning. Post-test control group was utilized in the study to compare the mathematics and technology attitudes of the students in the control and treatment groups. This study used the Mathematics and Technology Attitudes Scale (MTAS) questionnaire adapted from Pierce et al. (2007). (...) Majority of students have a favorable attitude about the use of mobile educational applications, ranging from neutral to positive. Although there were no statistically significant differences in several of the subscales, the experimental group showed greater optimism than the control group. Teachers should continue incorporating mobile educational applications into the classroom to help and enhance the learning process given the good experiences reported by students. To further enhance students' attitudes toward the topic, it should be considered to address the negative attitude toward mathematical confidence. (shrink)

In engineering, as in other scientific fields, researchers seek to confirm their models with real-world data. It is common practice to assess models in terms of the distance between the model outputs and the corresponding experimental observations. An important question that arises is whether the model should then be ‘tuned’, in the sense of estimating the values of free parameters to get a better fit with the data, and furthermore whether the tuned model can be confirmed with the same data (...) used to tune it. This dual use of data is often disparagingly referred to as ‘double-counting’. Here, we analyse these issues, with reference to selected research articles in engineering. Our example studies illustrate more and less controversial practices of model tuning and double-counting, both of which, we argue, can be shown to be legitimate within a Bayesian framework. The question nonetheless remains as to whether the implied scientific assumptions in each case are apt from the engineering point of view. (shrink)

This article discusses anglophone readings of G. W. F. Hegel against the backdrop of German-language scholarship. The article starts by differentiating types of metaphysics (I). Following a taxonomy introduced by Paul Redding, I then discuss Charles Taylor’s Christian-mystical (II), the so-called »non-metaphysical« (III) and the »revised metaphysical« reading (IV). Terry Pinkard’s work serves as an example of (III) and Stephen Houlgate’s as an example of (IV). I highlight problematic aspects of each reading that concern: the meaning of »reason in the (...) world« (II), the anti-relativist clout of Hegel’s philosophy (III) and the difference between the development of logical concepts and the empirical origin of the world and human thinking (IV). The text ends (V) by pointing to the social implications of each type of reading. (shrink)

Reflections on the role and position of maternal relations within philosophy as a practical discipline, as a metaphor for philosophical practice, and as a subject of philosophical investigation.

Sentience is the capacity to have feelings, such as feelings of pain, pleasure, hunger, thirst, warmth, joy, comfort and excitement. It is not simply the capacity to feel pain, but feelings of pain, distress or harm, broadly understood, have a special significance for animal welfare law. Drawing on over 300 scientific studies, we evaluate the evidence of sentience in two groups of invertebrate animals: the cephalopod molluscs or, for short, cephalopods (including octopods, squid and cuttlefish) and the decapod crustaceans or, (...) for short, decapods (including crabs, lobsters and crayfish). We also evaluate the potential welfare implications of current commercial practices involving these animals. (shrink)

Chronic fatigue syndrome or myalgic encephalomyelitis remains a controversial illness category. This paper surveys the state of knowledge and attitudes about this illness and proposes that epistemic concerns about the testimonial credibility of patients can be articulated using Miranda Fricker’s concept of epistemic injustice. While there is consensus within mainstream medical guidelines that there is no known cause of CFS/ME, there is continued debate about how best to conceive of CFS/ME, including disagreement about how to interpret clinical studies of treatments. (...) Against this background, robust qualitative and quantitative research from a range of countries has found that many doctors display uncertainty about whether CFS/ME is real, which may result in delays in diagnosis and treatment for patients. Strikingly, qualitative research evinces that patients with CFS/ME often experience suspicion by health professionals, and many patients vocally oppose the effectiveness, and the conceptualization, of their illness as psychologically treatable. We address the intersection of these issues and healthcare ethics, and claim that this state of affairs can be explained as a case of epistemic injustice. We find evidence that healthcare consultations are fora where patients with CFS/ME may be particularly vulnerable to epistemic injustice. We argue that the marginalization of many patients is a professional failure that may lead to further ethical and practical consequences both for progressive research into CFS/ME, and for ethical care and delivery of current treatments among individuals suffering from this debilitating illness. (shrink)

We argue that concerns about double-counting—using the same evidence both to calibrate or tune climate models and also to confirm or verify that the models are adequate—deserve more careful scrutiny in climate modelling circles. It is widely held that double-counting is bad and that separate data must be used for calibration and confirmation. We show that this is far from obviously true, and that climate scientists may be confusing their targets. Our analysis turns on a Bayesian/relative-likelihood approach to incremental confirmation. (...) According to this approach, double-counting is entirely proper. We go on to discuss plausible difficulties with calibrating climate models, and we distinguish more and less ambitious notions of confirmation. Strong claims of confirmation may not, in many cases, be warranted, but it would be a mistake to regard double-counting as the culprit. 1 Introduction2 Remarks about Models and Adequacy-for-Purpose3 Evidence for Calibration Can Also Yield Comparative Confirmation3.1 Double-counting I3.2 Double-counting II4 Climate Science Examples: Comparative Confirmation in Practice4.1 Confirmation due to better and worse best fits4.2 Confirmation due to more and less plausible forcings values5 Old Evidence6 Doubts about the Relevance of Past Data7 Non-comparative Confirmation and Catch-Alls8 Climate Science Example: Non-comparative Confirmation and Catch-Alls in Practice9 Concluding Remarks. (shrink)

Miranda Fricker’s account of hermeneutical injustice and remedies for this injustice are widely debated. This article adds to the existing debate by arguing that theories of recog- nition can fruitfully contribute to Fricker’s account of hermeneutical injustice and can provide a framework for structural remedy. By pairing Fricker’s theory of hermeneutical injustice with theories of recognition, I bring forward a modest claim and a more radical claim. The first concerns a shift in our vocabulary; recognition theory can give a name (...) to the seriousness of the long-term effects of hermeneutical injustice. The second claim is more radical: thinking of hermeneutical injustice as preventing what I call “self-recogni- tion” provides a structural remedy to the phenomenon of hermeneutical injustice. Because hermeneutical injustice is first and foremost a structural injustice, I contend that every virtue theory of hermeneutical justice should be complemented by structural remedies in terms of recognition. Finally, what I argue sheds light on the seriousness of cases of exclusion of and discrimination against women in academia and helps to draw our attention to new ways to combat such problems. (shrink)

Volume 27, Issue 6, December 2019, Page 1256-1260.

Gases reach equilibrium when left to themselves. Why do they behave in this way? The canonical answer to this question, originally proffered by Boltzmann, is that the systems have to be ergodic. This answer has been criticised on different grounds and is now widely regarded as flawed. In this paper we argue that some of the main arguments against Boltzmann's answer, in particular, arguments based on the KAM-theorem and the Markus-Meyer theorem, are beside the point. We then argue that something (...) close to Boltzmann's original proposal is true for gases: gases behave thermodynamic-like if they are epsilon-ergodic, i.e., ergodic on the entire accessible phase space except for a small region of measure epsilon. This answer is promising because there are good reasons to believe that relevant systems in statistical mechanics are epsilon-ergodic. (shrink)

Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging from logic and statistics to biology and economics. However, a closer look reveals a complicated picture: entropy is defined differently in different contexts, and even within the same domain different notions of entropy are at work. Some of these are defined in terms of probabilities, others are not. The aim of this chapter is to arrive at an understanding of some of the most important notions (...) of entropy and to clarify the relations between them, After setting the stage by introducing the thermodynamic entropy, we discuss notions of entropy in information theory, statistical mechanics, dynamical systems theory and fractal geometry. (shrink)

In this article, we will describe higher order thought theories of consciousness. Then we will describe some examples from synesthesia. Finally, we will explain why the latter may be relevant to the former.

Purpose. The purpose of this study is to investigate how professionals learn from varying experiences with errors in health-care digitalization and develop and use negative knowledge and digital ignorance in efforts to improve digitalized health care. Design/methodology/approach. A two-year qualitative field study was conducted in the context of a public health-care organization working with digital patient communication. The data consisted of participant observation, semistructured interviews and document data. Inductive coding and a theoretically informed generation of themes were applied. Findings. The (...) findings show that both health-care and digital communication professionals learn through experiences with digital “rule-” and “knowledge-based” errors in patient communication and develop negative knowledge and awareness of digital ignorance. In their joint efforts, they use negative knowledge to “bend the rules” and to explore digital ignorance in efforts to improve patient communication. Originality/value. This study provides insight into the importance of collaboration between professionals with varying experience of errors in digitalizing patient communication. Such collaboration is required to acknowledge own shortcomings and create complementary negative knowledge to improve digital patient communication. This is particularly important when working with innovative digitalization in health care. (shrink)

Consider a gas confined to the left half of a container. Then remove the wall separating the two parts. The gas will start spreading and soon be evenly distributed over the entire available space. The gas has approached equilibrium. Why does the gas behave in this way? The canonical answer to this question, originally proffered by Boltzmann, is that the system has to be ergodic for the approach to equilibrium to take place. This answer has been criticised on different grounds (...) and is now widely regarded as flawed. In this paper we argue that these criticisms have dismissed Boltzmann’s answer too quickly and that something almost like Boltzmann’s answer is true: the approach to equilibrium takes place if the system is epsilon-ergodic, i.e. ergodic on the entire accessible phase space except for a small region of measure epsilon. We introduce epsilon-ergodicity and argue that relevant systems in statistical mechanics are indeed espsilon-ergodic. (shrink)

This paper offers a philosophical analysis of mental illness as a concept and attempts to provide an understanding of what contributes to the instability of this concept. Mental illness is argued to be susceptible to looping effects, which means that the behaviours of those diagnosed is affected by their classification. This idea of looping is a contributor to mental illness being an unstable category as it affects the behaviours of those classified and the classifications themselves. Specific mental disorders such as (...) anxiety and depression are particularly vulnerable to looping effects due to their value-laden and subjective diagnostic criteria, argued by many anti-psychiatrists such as Rosenhan, Foucault and Szasz. These looping effects are more relevant than ever, with the increased awareness of mental illnesses on social media, overgeneralized information surrounding the symptoms of disorder, the glamorisation and self-assessments which inspire self-diagnosis. Whilst mental illness should not be abandoned as a concept, ‘mental illness’ has deviated from the proper use of ‘mental disorder’ due to overdiagnosis and looping effects and this conceptual instability is a bad thing due to the long-term consequences of over-prescribing antidepressants, preventing access to treatment, political and social implications and a looping trap: which is the idea that an individual cannot escape from their classification once identified. This paper gives a conceptual analysis of ‘mental illness’ and argues that looping effects are mainly responsible for its instability and in order to avoid the negative consequences of such an instability, we should be aware of these effects and attempt to find a basic framework which presents a clear understanding of what we mean by ‘abnormal’ or ‘disordered’ behaviours. (shrink)

Due to the COVID-19 Pandemic, several changes have been forcibly made and observed in various fields and areas of society, one of which include the field of education; the foundation of the formation of intellect and knowledge. After two years of studying indoors and private educational institutions holding virtual classes, the time has finally come for students to be re- adjusted once more to the blended mode of learning; a combination of virtual and in-person classes. Thus, this study aimed to (...) investigate the development of students’ study habits and how these habits could potentially affect the students’ academic achievement or performance. The study utilized a descriptivecorrelational design to examine the impact of study habits to the academic performance of 137 senior high school students. The study made use of the Palsane and Sharma’s Study Habits Inventory, or also known as PSSHI, and using this instrument, the study has been able to procure sufficient results that will answer the present study’s problems. Using linear regression analysis, the present study found that there was a significance between the study habits and academic performance of the senior high school students, thus the study’s null hypothesis was eventually rejected. (shrink)

Marcus Arvan’s Rightness as Fairness is a highly ambitious book. In fewer than 230 pages, Arvan hopes to demonstrate that we ought to evaluate moral theories in a similar manner to the sciences, that existing moral theories fall short on that evaluation, that moral normativity reduces to instrumental rationality, and that a new theory of rightness as fairness meets the scientific evaluative standards better than any of the alternatives. I’m afraid I was unconvinced that we should abandon our preferred moral (...) theories in favor of rightness as fairness. (shrink)

This paper reports on an ongoing ARC Discovery Project that is conducting design research into learning in collaborative virtual worlds (CVW).The paper will describe three design components of the project: (a) pedagogical design, (b)technical and graphics design, and (c) learning research design. The perspectives of each design team will be discussed and how the three teams worked together to produce the CVW. The development of productive failure learning activities for the CVW will be discussed and there will be an interactive (...) demonstration of the project's CVW. (shrink)

This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory. In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very first proof that (...) spatial isomorphism and spectral isomorphism are not equivalent because spectral isomorphism is weaker than spatial isomorphism: von Neumann shows that spectrally isomorphic ergodic dynamical systems with mixed spectra need not be spatially isomorphic. (shrink)

Purpose A mixed-method study was performed to determine the impact of integrating systems thinking (ST) into an electronic learning module for junior high school teachers in the Philippines. The study aims to assess how an ST approach to pedagogy compared against a conventional approach in terms of contribution to the participants’ global climate change content knowledge, holistic thinking and depth and accuracy of knowledge and reasoning. -/- Design/methodology/approach The study implemented e-learning modules using an ST approach versus a conventional approach (...) in teaching climate science to junior high school teachers. The paper presents quantitative data obtained from pre and posttests results of the 20 teacher-participants and qualitative data obtained during the focus-group discussion (FGD) after the implementation of the study. -/- Findings The results from the statistical analysis indicated that the ST group obtained a significant increase in their assessment scores compared to the non-ST group, according to predetermined criteria. Content knowledge, depth and accuracy of knowledge and reasoning increased the most. The participants mentioned during the FGD that the module helped deepen their understanding of climate change. -/- Research limitations/implications The study was limited to 20 teacher-participants, but it has relevance for public school teachers in the country given that participants had raised concerns regarding the lack of training in their schools for teaching climate science. They admitted that they lacked critical information to include in climate change topics in their classes. -/- Originality/value This paper shows how the ST approach can be used to teach climate change to junior high students. The e-learning module can provide teachers with better understanding, knowledge and reasoning to teach climate change to high school students more effectively. (shrink)

Several quantitative studies (e.g. Kidd & Castano, 2013a; Djikic et al., 2013) have shown a positive correlation between literary reading and empathy. However, the literary nature of the stimuli used in these studies has not been defined at a more detailed, stylistic level. In order to explore the stylistic underpinnings of the hypothesized link between literariness and empathy, we conducted a qualitative experiment in which the degree of stylistic foregrounding was manipulated. Subjects (N = 37) read versions of Katherine Mansfield's (...) 'The Fly', a short story rich in foregrounding, while marking striking and evocative passages of their choosing. Afterwards, they were asked to select three markings and elaborate on their experiences in writing. One group read the original story, while the other read a 'non-literary' version, produced by an established author of suspense fiction for young adults, where stylistic foregrounding was reduced. We found that the non-literary version elicited significantly more (p < 0.05) explicitly empathic responses than the original story. This finding stands in contradiction to widely accepted assumptions in recent research, but can be assimilated in alternative models of literariness and affect in literary reading (e.g. Cupchik et al., 1998). We present an analysis of the data with a view to offering more than one interpretation of the observed effects of stylistic foregrounding. (shrink)

Betrachtet man den Gebrauch der Worte ‘Moral’ und ‘Vernunft’ etwas genauer, so stellt man fest, dass nicht klar ist, was sie bezeichnen bzw. wie Moral und Vernunft zusammenhängen. In dem Buch ‘Rationalität in der Angewandten Ethik’, in dem sich verschiedene Autoren die Aufgabe gestellt haben, diese Umstände in das Licht der Betrachtung zu rücken, finden wir Fragen darüber, wie “Moral”, “Angewandte Ethik” und “Vernunft” (auch in der Anwendung) zu verstehen und zu vereinen sind.

A World of Muscle, Bone & Organs: Research and Scholarship in Dance is an e-book exploring contemporary ideas and themes in the research and practice of dance. It contains 23 chapters written by researchers at the Centre for Dance Research (C-DaRE), Coventry University, and is divided into six sections: Spaces of Practice, Philosophy, Communities, Politics, Data and Thinking, and Epistemology.

Charlotte Witt's finely crafted book offers an original and powerful account of social role normativity––the normativity of norms associated with social ro.

This paper is an attempt to articulate and defend a new imperative, Auschwitz survivor Charlotte Delbo’s 'Il faut donner à voir': “They must be made to see.” Assuming the ‘they’ in Delbo’s imperative is ‘us’ gives rise to three questions: (1) what must we see? (2) can we see it? and (3) why is it that we must? I maintain that what we must see is the reality of evil; that we are by and large unwilling, and often unable, (...) to see the reality of evil; and that if there is to be comprehension of—to say nothing of justice for—the survivors of evil, we nonetheless must. (shrink)

Charlotte Witt covers a remarkable amount of ground in this concise and elegantly written book. Coming in at under 150 pages, she artfully weaves together Aristotle’s theory of functions with contemporary work on cultural transmission and apprenticeship, ideas about self-creation with theories of aspiration and transformative experience, and reflections on the relationships among social norms and games with thoughts about social roles and the nature of hierarchy. At the heart of it is an elaboration and defense of a thoroughly (...) externalist account of social normativity. Witt takes skilled experts, especially artisans like chefs and carpenters, as paradigm cases for theorizing about social normativity. She uses them to argue that the ultimate source of many normative obligations is found not in the acquiescence, attitudes, or any other features internal to those on whom those obligations fall. Rather, the demands are rooted in the world itself, and flow from specific circumstances, especially from the constraints those circumstances impose on different actors in virtue of the tasks they need to perform. The result is a view that depicts social normativity not just as external to individuals but also unavoidably role specific; what is right for a chef is not necessarily right for a carpenter, and what makes for a good nurse might make for a poor drill sergeant. Witt’s presentation of this package of ideas is both careful and austere, and it makes for a wonderfully thought provoking read. Social Goodness: On the Ontology of Social Norms will reward the careful attention of anyone interested in social ontology, especially the metaphysical foundations of normativity, the nature of social norms, and the relationship between social roles and the self. (shrink)

In this chapter, I explore my affective engagement with Charlotte Wood’s The Weekend (2019). Adopting definitions that reveal the nested hierarchies of feeling, affect, and emotion, I situate emotion as a semantic experience within the framework of thought, arguing that thought itself is an affectual process that carries meaning. Cognition, in other words, is an affective process. Thought’s affectual status is often overlooked, however, with the focus on its semantic content drawing attention from this; yet meaning affects us, and (...) this is the function of thought as affect: it organises experience in ways that are, in turn, affecting. My approach to Wood’s novel aims to emphasise this and find firmer ground on which to perceive emotion as a kind of thought, noting that reading stimulates thinking in terms of grammatically established points of view. (shrink)

LEIBNIZ AND THE TWO SOPHIES is a critical edition of all of the philosophically important material from the correspondence between the philosopher Gottfried Wilhelm Leibniz (1646-1716) and his two royal patronesses, Electress Sophie of Hanover (1630-1714), and her daughter, Queen Sophie Charlotte of Prussia (1668-1705). In this correspondence, Leibniz expounds in a very accessible way his views on topics such as the nature and operation of the mind, innate knowledge, the afterlife, ethics, and human nature. The correspondence also contains (...) the only known philosophical writings by Sophie and Sophie Charlotte, and thus provides a valuable insight into their views and concerns, as well as throwing light on their characters. The texts are accompanied by a substantial introductory essay which sets the context for the correspondence and analyzes its main philosophical themes. (shrink)