Although expert consensus states that critical thinking (CT) is essential to enquiry, it doesn’t necessarily follow that by practicing enquiry children are developing CT skills. Philosophy with children programmes around the world aim to develop CT dispositions and skills through a community of enquiry, and this study compared the impact of the explicit teaching of CT skills during an enquiry, to The Philosophy Foundation's philosophical enquiry (PhiE) method alone (which had no explicit teaching of CT skills). (...) Philosophy with children is also said to improve metacognitive (MC) skills but there is little research into this claim. Following observable problems with ensuring genuine metacognition was happening in PhiE sessions - on a reasonably strong understanding of what metacognition is – a method has been developed and trialed in this study to bring together, in mutual support, the development of critical thinking and metacognitive skills. Based on the work of Peter Worley and Ellen Fridland (KCL)The Philosophy Foundation ran an experimental study with King's College London in Autumn 2017 and Autumn 2018 to compare the impact of teaching CT skills and MC skills against classes that just have philosophical enquiry. The approach developed and used for the study employs the explicit teaching of some CT and MC skills within the context of a philosophical enquiry (as opposed to stand-alone teaching of these skills) and yields some positive findings both qualitative and quantitative. Both studies took place over one term (12 weeks) and a control and intervention group were used in each study. This report focuses on the second year of the study, with 220 ten and eleven-year-old children involved in eight classes across three state schools in South East London. Although there were limitations to the study the results indicate that the explicit teaching of these skills during a philosophical enquiry can help children use CT and MC skills more successfully than philosophical enquiry alone. (shrink)

The paper describes the author's experience in using the history of science in teaching physics to science teachers. lt was found that history becomes more useful to teachers when explicitly combined with 'investigative' experimentation, which, in turn. can benefit from various uses of the history of science.

This article examines one way institutionalized sexism operates in the university setting by examining the gender roles and gender hierarchies implicit in (allegedly gender-neutral) university tenure and promotion policies. Current working assumptions regarding (1) what constitutes good research, teaching, and service and (2) the relative importance of each of these endeavors reflect and perpetuate masculine values and practices, thus preventing the professional advancement of female faculty both individually and collectively. A gendered division of labor exists within (as outside) the (...) contemporary academy wherein research is implicitly deemed "men's work" and is explicitly valued, whereas teaching and service are characterized as "women's work" and explicitly devalued. (shrink)

PARC is an "appended numeral" system of natural deduction that I learned as an undergraduate and have taught for many years. Despite its considerable pedagogical strengths, PARC appears to have never been published. The system features explicit "tracking" of premises and assumptions throughout a derivation, the collapsing of indirect proofs into conditional proofs, and a very simple set of quantificational rules without the long list of exceptions that bedevil students learning existential instantiation and universal generalization. The system can be (...) used with any Copi-style set of inference rules, so it is quite adaptable to many mainstream symbolic logic textbooks. Consequently, PARC may be especially attractive to logic teachers who find Jaskowski/Gentzen-style introduction/elimination rules to be far less "natural" than Copi-style rules. The PARC system is also keyboard-friendly in comparison to the widely adopted Jaskowski-style graphical subproof system of natural deduction, viz., Fitch diagrams and Copi "bent arrow" diagrams. (shrink)

Should the state teach ethics? There is widespread disagreement on whether (and how) secular states should be in the business of promoting a particular moral viewpoint. This article attempts to schematize, and evaluate, these stances. It does so by posing three, simple questions: (1) Should the state explicitly promote certain ethical values over others? (2) Should the state have ultimate justifications for the values it promotes? (3) Should the state compel its citizens to accept these ultimate justifications? Logically, each question (...) in this series is a prerequisite for considering those questions further down the list. The result is that responses can be categorized into one of four possible permutations or ‘camps.’ These are: (1) The Libertarian (“No” to all three questions) (2) The Pluralist (“Yes” to question 1; “No” to questions 2 and 3) (3) The Rationalist Republican (“Yes” to questions 1 and 2; “No” to question 3) (4) The Rigorous Republican (“Yes” to all three questions) It will be shown that just one of these positions, the ‘rationalist republican,’ stands out from all the rest. For only the rationalist republican can account for a normative politics while also safeguarding the individual’s freedom of conscience. (shrink)

It is argued that logic, and in particular mathematical logic, should play a key role in the undergraduate curriculum for students in the computing fields, which include electrical engineering (EE), computer engineering (CE), and computer science (CS). This is based on 1) the history of the field of computing and its close ties with logic, 2) empirical results showing that students with better logical thinking skills perform better in tasks such as programming and mathematics, and 3) the skills students are (...) expected to have in the job market. Further, the authors believe teaching logic to students explicitly will improve student retention, especially involving underrepresented minorities. Though this work focuses specifically on the computing fields, these results demonstrate the importance of logic education to STEM (science, technology, engineering, and mathematics) as a whole. (shrink)

Mathematics textbooks teach logical reasoning by example, a practice started by Euclid; while logic textbooks treat logic as a subject in its own right without practical application to mathematics. Stuck in the middle are students seeking mathematical proficiency and educators seeking to provide it. To assist them, the article explains in practical detail how to teach logic-based skills such as: making mathematical reasoning fully explicit; moving from step to step in a mathematical proof in logically correct ways; and checking (...) to make sure inferences are logically correct. The methodology can easily be extended beyond the four examples analyzed. (shrink)

In this study, we aimed to investigate how prospective science teachers, who participated in a series of explicit-reflective activities for NOS teaching, understood "science in a social and cultural context" in the context of a biographical documentary film. We adopted a phenomenological approach. The data were analyzed descriptively by considering the aspects of nature of science and the levels of understanding as defined in Dilthey's hermeneutic approach. In this way, we determined participants’ levels of hermeneutic understanding regarding the (...) nature of science. The findings show that the participants regarded science within the framework of aspects of the consensus view blended with somewhat authentic interpretations and at a basic level of understanding from the point of view of hermeneutics. This finding highlights the importance of integrating the hermeneutic approach into the teaching process in understanding science. (shrink)

One important aim of moral philosophy courses is to help students build the skills necessary to make their own well-reasoned decisions about moral issues. This includes the skill of determining when a particular moral reason provides a good answer to a moral question or not. Helping students think critically about religious reasons like “because God says so” and “because scripture explicitly says so” can be challenging because such lessons can be misperceived as coercive or anti-religious. I describe a framework for (...) teaching about religion and moral reasons that I have found overcomes these challenges while also building generalizable skill at analyzing and evaluating moral reasons. (shrink)

This chapter describes the process of institutionalization of natural law at the University of Pisa, essential to interpreting the conditions in which the first public law chair of Italy was founded. The study of legal education in the late seventeenth and early eighteenth century will allow a more in-depth understanding of both the development of natural law in teaching practice throughout the long eighteenth century, and the features of the two processes of reception, respectively for educational and political purposes. (...) In fact, although both processes were founded on appreciation of the centrality of Roman law and philosophy in the construction of doctrines by the so-called ‘modern natural law school’, and developed through mediation of traditional Roman legal culture of the Pisan ‘historical-critical school’, there were some differences. In this initial phase, the didactic reception was indirect, although not entirely implicit, whereas the political reception was direct and explicit. (shrink)

Research in second language learning has identified the absence of metacognition among learners as one of the major problems contributing to students’ inability to comprehend listening texts. Moreover, the shift to remote teaching due to COVID-19 has made it more crucial for teachers and learners to adapt to new modes of teaching and learning. This accentuates the need for effective listening strategy instruction. This study conducted at a university in Oman, is unique in two ways: first, it seeks (...) out teachers’ perceptions of metacognitive strategy instruction in remote teaching; and second, the intervention in the form of explicit metacognitive strategy instruction is offered online. This paper presents the findings of the study, which focused on the following: teachers’ perception of students’ listening difficulties; teachers’ perceptions of metacognitive strategies and their explicit instruction; the role of metacognitive strategy awareness and instruction in improving student participation and skills in listening; challenges encountered in teaching listening during remote teaching; and overcoming challenges of teaching metacognitive strategies in remote teaching. This mixed-method study collected data through questionnaires and interviews with 10 faculty members and 75 students. The findings show that teachers face several challenges, such as time limitations, shortened semesters, unfamiliar coursebook contexts, and assessment practices. For strategy instruction, teachers utilized collaborative lesson planning and resources and virtual flipped classrooms, among others. We conclude that metacognitive strategy instruction can provide better scaffolding during listening instruction and recommends further exploration of students’ use of metacognitive strategies in other academic contexts. (shrink)

We focus on issues of learning assessment from the point of view of an investigation of philosophical elements in teaching. We contend that assessment of concept possession at school based on ordinary multiple-choice tests might be ineffective because it overlooks aspects of human rationality illuminated by Robert Brandom’s inferentialism––the view that conceptual content largely coincides with the inferential role of linguistic expressions used in public discourse. More particularly, we argue that multiple-choice tests at schools might fail to accurately assess (...) the possession of a concept or the lack of it, for they only check the written outputs of the pupils who take them, without detecting the inferences actually endorsed or used by them. We suggest that school tests would acquire reliability if they enabled pupils to make the reasons of their answers or the inferences they use explicit, so as to contribute to what Brandom calls the game of giving and asking for reasons. We explore the possibility to put this suggestion into practice by deploying two-tier multiple-choice tests. (shrink)

Triangles and trigonometry are always difficult topics for both mathematics students and teachers. Hence, students' performance in solving mathematical word problems in these topics is not only a reflection of their learning outcomes but also an indication of teaching effectiveness. This case study drew from two examples of solving word problems involving triangles by pre-service mathematics teachers in a foundation mathematics course delivered by the author. The focus of this case study was on reasoning implications of students' performances on (...) the effective training of pre-service mathematics teachers, from which a three-step interactive explicit teaching-learning approach, comprising teacher-led precise and inspiring teaching (or explicit teaching), student-driven engaged learning (or imitative learning), and student-led and teacher-guided problem-solving for real-world problems or projects (or active application), was summarized. Explicit teaching establishes a solid foundation for students to further their understanding of new mathematical concepts and to conceptualize the technical processes associated with these new concepts. Imitative learning helps students build technical abilities and enhance technical efficacy by engaging in learning activities. Once these first two steps have been completed, students should have a decent understanding of new mathematical concepts and technical efficacy to analyze, formulate, and finally solve real-world applications with assistance from teachers whenever required. Specially crafted professional development should also be considered for some in-service mathematics teachers to adopt this three-step interactive teaching-learning process. (shrink)

Cardinal Bessarion (1408–1472), in the second chapter of the first book of his influential work In calumniatorem Platonis, attempted to reply to Georgios Trapezuntios’ (1396–1474) criticism against Plato in the Comparatio Philosophorum Platonis et Aristotelis. Bessarion investigates why the Athenian philosopher maintained, in several dialogues, that the sacred truths should not be communicated to the general public and argued in favor of the value of oral transmission of knowledge, largely based on his theory about the cognitive processes. Recently, Fr. Bessarion (...) Kouotsis has argued that Cardinal Bessarion’s reasoning draws primarily on the “Disciplina Arcani”, i.e., the rule of secrecy, which was an established practice of the Early Christian Church, aimed at protecting and preserving the core elements of the religion from outsiders. While I find Kouotsis’ approach interesting and thought-provoking—for instance, the idea that Bessarion’s argumentation was likely influenced by Eastern Christian views on the rule of secrecy—I intend, first of all, to discuss why Bessarion did not explicitly mention it. Moreover, I would like to argue that Bessarion’s good knowledge of the long Platonic tradition and Eastern mysticism, encompassing both pagan and Christian elements, should also be considered a significant source. Furthermore, I would like to question Kouotsis’ implicit argument that Bessarion’s views were dominated by his training in Orthodox theology and discuss the possibility that Pletho’s (1355–1454) teaching was the obvious influence for Bessarion’s defense of secrecy. After all, we should bear in mind that Anastos has already pointed out Pletho’s reverence for the rule of secrecy. Finally, I would like to support that Bessarion, in the specific text, focused predominantly on the epistemological and cognitive aspects of oral teaching, resorting to the rule of secrecy only to enhance his views. (shrink)

This study aimed to unveil the sentiments of college students' feedback on their teacher's teaching performance during online classes. The research utilized a qualitative approach, explicitly employing text mining. Orange software determined the most frequently used words illustrating teachers' teaching performance during online courses. Moreover, Latent Semantic Indexing (LSI) was utilized to reveal how those frequently used words were structured. Meanwhile, the study showed that the words "teacher," "class," "us," "student," "online," "teaching," "happy," "learning," "understand," and "good" (...) were most frequently used in college students' sentiments regarding their teacher's performance during online classes. The study also indicated that most students have positive feedback on their teachers' teaching performance in online courses. Therefore, the findings suggest that teachers have the abilities and knowledge to successfully impart lessons to their students despite the enormous dilemma the pandemic has brought about in every sector, especially in education. (shrink)

We suggest that the emerging field of the conservation humanities can play a valuable role in biodiversity protection in Papua New Guinea (PNG), where most land remains under collective customary clan ownership. As a first step to mobilising this scholarly field in PNG and to support capacity development for PNG humanities academics, we conducted a landscape review of PNG humanities teaching and research relating to biodiversity conservation and customary land rights. We conducted a systematic literature review, a PNG (...) class='Hi'>teaching programme review, and a series of online workshops between the authors (10 PNG-based, 7 UK-based). We found a small but notable amount of PNG research and teaching focused on biodiversity conservation or customary land rights. This included explicit discussion of these topics in 8 of 156 PNG-authored humanities texts published 2010-2020 and related teaching content in the curricula of several different humanities-based programmes. We discuss current barriers to PNG academic development. The growth of fully fledged in-country conservation humanities will require a joint collaborative effort by PNG researchers, who are best placed to carry out such work, and researchers from abroad who can access resources to support the process. (shrink)

Argument mapping is a way of diagramming the logical structure of an argument to explicitly and concisely represent reasoning. The use of argument mapping in critical thinking instruction has increased dramatically in recent decades. This paper overviews the innovation and provides a procedural approach for new teaches wanting to use argument mapping in the classroom. A brief history of argument mapping is provided at the end of this paper.

This paper provides suggestions for educators who have a desire to learn about, or are already committed to, challenging ableism and disablism. As philosophy teachers, we have the opportunity to facilitate student reflection regarding disability, which puts students in a position to make decisions about whether to retain their habitual ways of comporting themselves toward disabled people or to begin the process of forming new perceptual practices. I contend that existential phenomenology, as formulated by Maurice Merleau-Ponty and Linda Martín Alcoff, (...) provides insights regarding the habitual formation of perceptual practices that are useful for thinking about ways that perception may be informed by ableism and disablism. Jessica Cadwallader demonstrates how their insights can be usefully applied to thinking about perceptions of disability. Through analysis of past encounters with people with disabilities, Cadwallader suggests that students change their habitual ways of responding to people with disabilities. While such reflections may be valuable for making habitual perceptual practices explicit, I would suggest that this is only a condition for the possibility of changing ablist perceptual practices rather than the change itself. Students are likely to enter the classroom lacking the insight that they are even engaging in perceptual practices informed by cultural narratives rather than simply perceiving people with impairments as they are. I argue that an approach to teaching on disability that thematizes perceptual practices regarding disability, and takes experiences of disabled people into account, would be more effective than the one Cadwallader describes. Understanding the ways that people with disabilities experience being constructed as a problem through ableist perceptual practices could help students recognize their own potential to impact others in positive and negative ways. (shrink)

Introductory students regularly endorse naïve skepticism—unsupported or uncritical doubt about the existence and universality of truth—for a variety of reasons. Though some of the reasons for students’ skepticism can be traced back to the student—for example, a desire to avoid engaging with controversial material or a desire to avoid offense—naïve skepticism is also the result of how introductory courses are taught, deemphasizing truth to promote students’ abilities to develop basic disciplinary skills. While this strategy has a number of pedagogical benefits, (...) it prevents students in early stages of intellectual development from understanding truth as a threshold concept. Using philosophy as a case study, I argue that we can make progress against naïve skepticism by clearly discussing how metadisciplinary aims differ at the disciplinary and course levels in a way that is meaningful, reinforced, and accessible. (shrink)

Standardized academic English is now understood to be rooted in histories and practices that are colonial, classist, nationalist, heteronormative, ableist, and sexist. Current teaching of academic English carries an ethos of making practices of research writing accessible to students from marginalized backgrounds through explicit attention to language patterns and genre structures. In the context of both ideological critique and explicit pedagogy, I discuss three pragmatic elements of research writing—positionality, citation, and evaluation—with examples from one of my courses. (...) I present these elements and my approach to teaching them as a practice that is attentive to both details of published scholarship and students’ agency and intentionality in shaping their own writing projects, claims, and arguments. My work is framed by a functional approach to grammar where grammar is not interesting as a standardized apparatus but as a code that provides a range of options for producing performative effects. I call this spacious grammar. (shrink)

While those who take a "structuralist" approach to racial justice issues are right to call attention to the importance of social practices, laws, etc., they sometimes go too far by suggesting that antiracist efforts ought to focus on changing unjust social systems rather than changing individuals’ minds. We argue that while the “either/or” thinking implied by this framing is intuitive and pervasive, it is misleading and self-undermining. We instead advocate for a “both/and” approach to antiracist moral education that explicitly teaches (...) how social structures influence ideas about race and how ideas about race shape, sustain, and transform social structures. Ideally, antiracist moral education will help people see how social change and moral progress depend on the symbiotic relations between individuals and structures. We articulate a conception of “structure-facing virtue” that exemplifies this hybrid approach to illuminate the pivotal role moral education plays in the fight for racial justice. (shrink)

Teaching evaluations are in this case a means of judging the effectiveness of teaching and learning state measures. Analysis of 38 French teachers’ school reports in agricultural High Schools highlights certain aspects of teaching practices while thirteen reports graded unsatisfactory as teachers failed teaching standards help unveil teacher assessment practices. The analyses lead to the building of a teacher practice model while showing that teacher evaluation focus more on teaching practices and teaching resources than (...) on student learning or the teaching-learning process. Les inspections pédagogiques sont ici un moyen d’approcher « l’efficacité institutionnelle » des dispositifs d’enseignement-apprentissage. L’analyse de 38 rapports d’inspection d’enseignants en lycées agricoles français met en évidence les dimensions des pratiques enseignantes qui y sont convoquées. L’analyse de treize rapports d’inspection défavorables au maintien de l’enseignant dans le métier contribue à expliciter le référent des pratiques lors d’évaluation. Ces analyses aboutissent à une modélisation des pratiques d’enseignement. Elles montrent que les évaluations portent d’avantage sur les pratiques d’enseignement que sur l’apprentissage des élèves, d’avantage sur les moyens mis en œuvre pour enseigner que sur le processus d’enseignement-apprentissage. (shrink)

This paper addresses several reasons why students may be uninterested or unwilling to engage with the problem of evil and discusses a method of teaching it which overcomes these difficulties. This strategy, first, distinguishes between evil and gratuitous evil. This prevents students from thinking that the task of theodicy is fulfilled by a reconciliation of God with mundane evil (e.g. immunizations). Second, the goal of theodicy is framed as the reconciliation of God with the appearance of evil. Emphasizing appearance (...) in this way clearly frames the work of arguments from evil and theodicies as arguments for or against the reality of this appearance. Third, it is made explicit that all candidate theodicies must attempt to cover all evil and that the reasons supporting their conclusions must compass morally sufficient reasons (a moral reason which justifies suffering) and the greater good (a good which is sufficiently good to justify the evil necessary for its achievement). (shrink)

In the first part of this investigation we highlight two, seemingly irreconcilable, beliefs that suggest an impending crisis in the teaching, research, and practice of—primarily state-supported—mathematics: (a) the belief, with increasing, essentially faith-based, conviction and authority amongst academics that first-order Set Theory can be treated as the lingua franca of mathematics, since its theorems—even if unfalsifiable—can be treated as ‘knowledge’ because they are finite proof sequences which are entailed finitarily by self-evidently Justified True Beliefs; and (b) the slowly emerging, (...) but powerfully rooted in economic imperatives, belief that only those Justified True Beliefs can be treated as ‘knowledge’ which are, further, categorically communicable as Factually Grounded Beliefs—hence as comprehensible pre-formal ‘mathematical truths’—by any intelligence that lays claims to a mathematical lingua franca. We argue that this seeming irreconcilability merely reflects a widening chasm between an increasing under-estimation of the value to society of ‘semantic arithmetical truth’, and an increasing over-estimation of the value to society of ‘syntactic set-theoretical provability’; a chasm which must be narrowed and bridged explicitly. We thus proffer a Complementarity Thesis which seeks to recognize that mathematical ‘provability’ and mathematical ‘truth’ need to be interdependent and complementary, ‘evidence-based’, assignments-by-convention to the formulas of a formal mathematical language; where (a) the goal of mathematical ‘proofs’ may be viewed as seeking to ensure that any mathematical language intended to formally represent our pre-formal conceptual metaphors and their inter-relatedness is unambiguous, and free from contradiction; whilst (b) the goal of mathematical ‘truths’ must be viewed as seeking to ensure that any such representation does, indeed, uniquely identify and adequately represent such metaphors and their inter-relatedness. Our thesis is that, by universally ignoring the need to introduce goal (b) in our curriculum, the teaching of, and research in, mathematics at the post-graduate level cannnot justify its value to society beyond the mere intellectual stimulation of individual minds. In the second part we appeal to some recent—and hitherto unsuspected—unarguably constructive Tarskian interpretations, of the first-order Peano Arithmetic PA, which establish PA as both finitarily consistent, and categorical. Since we also show that the second order subsystem ACA0 of Peano Arithmetic and PA cannot both be assumed provably consistent, we conclude that there can be no mathematical, or meta-mathematical, proof of consistency for Set Theory. Hence the theorems of any Set Theory are not sufficient for distinguishing between (i) what we can believe to be a ‘mathematical truth’; (ii) what we can evidence as a ‘mathematical truth’; and (iii) what we ought not to believe is a ‘mathematical truth’; whilst the theorems of the first-order Peano Arithmetic PA are sufficient for distinguishing between (i), (ii) and (iii). We conclude from this that the holy grail of mathematics ought to be ‘arithmetical truth’, not ‘set-theoretical proof’. (shrink)

This chapter considers the assumptions required to make scientisms of different forms genuinely threatening to philosophers, where a genuine threat would consist of a concrete risk to their statuses, the value of their teaching and research, their livelihoods, their preferred research methods, or the health of the discipline. I will find that strong and weak forms of scientism alike require substantive assumptions to make them threatening in those regards. In particular, they require sometimes heavy-handed circumscriptions of philosophy and science, (...) as well as their epistemic credentials and achievements, methods, and subject matters. They also require restrictive pronouncements upon the epistemic and non-epistemic goods that are valuable, worth promoting in academic contexts, and relevant to disciplinary health. My aim in this chapter will not to be defeat those assumptions but rather to make them explicit and to emphasize their frequent strength and contentiousness. (shrink)

It is a platitude that when we reason, we often take things for granted, sometimes even justifiably so. The chemist might reason from the fact that a substance turns litmus paper red to that substance being an acid. In so doing, they take for granted, reasonably enough, that this test for acidity is valid. We ordinarily reason from things looking a certain way to their being that way. We take for granted, reasonably enough, that things are as they look Although (...) it is a platitude that we often take things for granted when we reason—whether justifiably or not—one might think that we do not have to. In fact, it is a natural expectation that were we not pressed by time, lack of energy or focus, we could always in principle make explicit in the form of premises every single presupposition we make in the course of our reasoning. In other words, it is natural to expect it to be true that presuppositionless reasoning is possible. In this essay, I argue that it is false: presuppositionless reasoning is impossible. Indeed, I think this is one of the lessons of a long-standing paradox about inference and reasoning known as Lewis Carroll’s (1985) regress of the premises. Many philosophers agree that Carroll’s regress teaches us something foundational about reasoning. I part ways about what it is that it teaches us. What it teaches us is that the structure of reasoning is constitutively presuppositional. (shrink)

The so-called ‘‘species problem’’ has plagued evolution- ary biology since before Darwin’s publication of the aptly titled Origin of Species. Many biologists think the problem is just a matter of semantics; others complain that it will not be solved until we have more empirical data. Yet, we don’t seem to be able to escape discussing it and teaching seminars about it. In this paper, I briefly examine the main themes of the biological and philosophical liter- atures on the species (...) problem, focusing on identifying common threads as well as relevant differences. I then argue two fundamental points. First, the species problem is not primarily an empirical one, but it is rather fraught with philosophical questions that require—but cannot be settled by—empirical evidence. Second, the (dis-)solution lies in explicitly adopting Wittgenstein’s idea of ‘‘family resemblance’’ or cluster concepts, and to consider spe- cies as an example of such concepts. This solution has several attractive features, including bringing together apparently diverging themes of discussion among bio- logists and philosophers. The current proposal is con- ceptually independent (though not incompatible) with the pluralist approach to the species problem advocated by Mishler, Donoghue, Kitcher and Dupre ́, which implies that distinct aspects of the species question need to be emphasized depending on the goals of the researcher. From the biological literature, the concept of species that most closely matches the philosophical discussion pre- sented here is Templeton’s cohesion idea. (shrink)

This is the introduction to volume IX of Brentano’s Complete Published Writings: Sämtliche veröffentlichte Schriften: Vermischte Schriften. Brentano’s writings reproduced in this volume provide a substantial complement to important aspects of Brentano's philosophy which are less explicit in the other works he published during his lifetime. This volume contains thirteen writings: three of them belong to the period of Würzburg, two to the Italian period, and the others belong to the period of his teaching in Vienna. They can (...) be grouped under three broad categories. The first corresponds to the theme of the future of philosophy and the philosophical prospects in the late nineteenth century. This issue is recurrent in Brentano's work and is to be found in several of his writings published in this volume, notably in his inaugural address at the University of Vienna, in which he seeks, among other things, to trace the sources of discouragement with respect to the state of philosophy at that time and to rehabilitate confidence and optimism in the future of philosophy. The second topic pertains to Brentano’s philosophy of the history of philosophy and in addition to the article already mentioned in which Brentano elaborates his theory of the four phases, the article „Was für ein Philosoph manchmal Epoche macht“ is an application of the principles of his philosophy of history to Plotinus’ philosophy. The last section entitled Reviews and circumstantial writings contains more circumstantial writings including four reviews, Brentano’s 1908 paper on Thomas von Aquin and a short polemical paper on research without prejudice. It includes „Der Atheismus und die Wissenschaft“ which is an anonymous article in which Brentano criticizes the author of an article published in a Vienna journal on the compatibility of theism with a philosophy that defines itself as science; the second is Brentano’s reply to a critical review of his Psychology by Adolf Horwicz, the third is a review of J. Delitzsch's book on Thomas von Aquinas , and the last is a significant review of a book by Franz Miklosich on the topic of subjektlose Sätze. (shrink)

For Albert Camus, plague was both a fact of life and a powerful metaphor for the human condition. Camus engaged most explicitly and extensively with the subject of plague in his 1947 novel, The Plague (La peste), which chronicles an outbreak of what is presumably cholera in the French-Algerian city of Oran. I often thought of this novel—and what it might teach us—during the recent COVID-19 pandemic. In this article, I discuss seven important insights from The Plague about epidemics, public (...) health and morality. (shrink)

What are the legitimate sources of aesthetic belief? Which methods for forming aesthetic belief are acceptable? Although the question is rarely framed explicitly, it is a familiar idea that there is something distinctive about aesthetic matters in this respect. Crudely, the thought is that the legitimate routes to belief are rather more limited in the aesthetic case than elsewhere. If so, this might tell us something about the sorts of facts that aesthetic beliefs describe, about the nature of our aesthetic (...) judgements, or about the responses that ground them. Getting the epistemology right here may help with the metaphysics, the semantics or the philosophical psychology. Investigating the legitimate sources of aesthetic belief may thus teach us something important about the aesthetic realm. (shrink)

This article considers the contemporary effective altruism (EA) movement from a classical Indian Buddhist perspective. Following barebones introductions to EA and to Buddhism (sections one and two, respectively), section three argues that core EA efforts, such as those to improve global health, end factory farming, and safeguard the long-term future of humanity, are futile on the Buddhist worldview. For regardless of the short-term welfare improvements that effective altruists impart, Buddhism teaches that all unenlightened beings will simply be reborn upon their (...) deaths back into the round of rebirth (samsāra), which is held to be undesirable due to the preponderance of duhkha (unsatisfactoriness, dis-ease, suffering) over well-being that characterizes unenlightened existence. This is the samsāric futility problem. Although Buddhists and effective altruists disagree about what ultimately helps sentient beings, section four suggests that Buddhist-EA dialogue nonetheless generates mutually-instructive insights. Buddhists – including contemporaries, such as those involved in Socially Engaged Buddhism – might take from EA a greater focus on explicit prioritization research, which seeks knowledge of how to do the most good we can, given our finite resources. EA, for its part, has at least two lessons to learn. First, effective altruists have tended to assume that the competing accounts of welfare converge in their practical implications. The Buddhist conception of the pinnacle of welfare as a state free from duhkha and, correspondingly, the Buddhist account of the path that leads to this state weigh against this assumption. Second, contrasting Buddhist with effective altruist priorities shows that descriptive matters of cosmology, ontology, and metaphysics can have decisive practical implications. If EA wants to give a comprehensive answer to its guiding question – “how can we do the most good?” – it must argue for, rather than merely assume, the truth of secular naturalism. (shrink)

Gottlob Frege’s conception of works of art has received scant notice in the literature. This is a pity since, as this paper undertakes to reveal, his innovative philosophy of language motivated a theoretically and historically consequential, yet unaccountably marginalized Wittgenstinian line of inquiry in the domain of aesthetics. The element of Frege’s approach that most clearly inspired this development is the idea that only complete sentences articulate thoughts and that what sentences in works of drama and literary art express are (...) ‘mock thoughts’ (Schiengedanken). The early Wittgenstein closely followed Frege’s lead on this theme. One sees this, for example, in the Tractatus, where Wittgenstein announces that only sentential propositions model (‘picture’) states of affairs whereas works of art are objects we perceive sub specie aeternitatis (1961, 83). By the 1930s, however, Wittgenstein began to revise his view beyond his initial Frege-inspired standpoint. He came to insist that works of art can convey thoughts as well, but that thoughts do not model (picture) the world of facts and hence do not convey information about measurable objects and events. Rather, his contention was that aesthetically configured thoughts that artworks communicate impart information about our perspective on reality and reconfigure our view of life. To be more explicit, successful (gelungene) or ‘good’ works of art (ibid.), in Wittgenstein’s view, can supply aesthetically instructive ‘gestures’ that open to living experience promising new ways of being. It is in this respect, he held, that artists ‘have something to teach’ (1980, 36). (shrink)

The APA has recently taken steps to address concerns related to teaching and supporting philosophers and students who come from less privileged backgrounds. I want to add to this project by fleshing out some concrete ways that philosophy professors contribute to the challenges faced by first-generation and financially disadvantaged philosophers and students. I hope that in making these behaviors explicit, it may be easier for faculty to acknowledge and overcome them.

Thomas Aquinas wrote a text later known as Quaestio de attributis and ordered it inserted in a precise location of his Commentary on the Sentences of Peter Lombard more than a decade after composing this work. Aquinas assigned exceptional importance to this text, in which he confronts the debate on the issue of the divine attributes that swept the most important centres of learning in 13th Century Europe and examines the answers given to the problem by the representatives of the (...) four mainstream schools of his time: the Greek mystic Dionysius Areopagita, the Latin Saint Anselm of Canterbury, the Jewish rabbi Moses Maimonides and the Muslim philosopher Ibn Sina. This in-depth study of Thomas Aquinas’ Quaestio de attributis (In I Sent., d. 2, q. 1, a. 3) binds together the findings of previous research on the unique history of this text by reconstructing the historical circumstances surrounding its composition, shows that the Quaestio contains Aquinas’ final answer to the dispute on the divine attributes, and thoroughly examines his interpretation of Maimonides’ position on the issue of the knowledge of God by analysing this and other texts related to it chronologically and doctrinally. The examination of the Quaestio reveals the background of Thomas Aquinas’ renewed interest in Maimonides’ position on the issue and brings to light elements of Aquinas’ interpretation that are absent from his earlier references to Maimonides. Moreover, the chronological and doctrinal connection of the Quaestio de attributis to other Thomistic works with explicit references to Maimonides enables a reconstruction of his comprehensive approach to Maimonides’ teaching on the possibility and extent of the knowledge of God in the Guide of the Perplexed and highlights the place of Maimonides’ philosophical teachings in Thomas’ own thought in issues like "Being" as the proper name of God, the multiplicity of the divine names, the beatific vision in the afterlife, the causes that prevent the instruction of the multitude in divine matters and the role of faith and prophecy in the acquisition of the true knowledge of God in this life. The last chapter examines the reasons behind Aquinas’ silencing of Maimonides’ name when introducing his Five Ways for the knowledge of the existence of God, in spite of the evident relation between these and Maimonides’ Four Speculations. The study is completed with an extensive appendix that includes the text of the Quaestio de attributis with an English translation and the critical edition of several chapters of the 13th Century Latin translation of the Guide of the Perplexed known as Dux neutrorum. (shrink)

In summaries of “best practices” for pedagogy, one typically encounters enthusiastic advocacy for metacognition. Some researchers assert that the body of evidence supplied by decades of education studies indicates a clear pedagogical imperative: that if one wants their students to learn well, one must implement teaching practices that cultivate students’ metacognitive skills. -/- In this dissertation, I counter that education research does not impose such a mandate upon instructors. We lack sufficient and reliable evidence from studies that use the (...) appropriate research design to validate the efficacy of metacognitive skill-building interventions (not just evaluate their relationship to learning outcomes). I argue that improved academic outcomes following these interventions aren’t necessarily mediated by increased metacognitive skills; rather, enhanced student performance can be accounted for by other factors that accompany metacognitive training, particularly the explicit provision of domain-specific knowledge. -/- On the way to this conclusion, I elaborate some complications and controversies surrounding “metacognition.” This is a sprawling and nebulous construct, which makes generalizations about its pedagogical value dubious from the outset. Moreover, it is unclear the extent to which the end goal of metacognitive skill-building (cognitive self-mastery, involving knowledge of and control over our own minds) is even possible, given our mental architecture; some cognitive scientists allege that we are subject to phenomenological illusions which make this seem more achievable than it actually is. -/- I also attempt to provide an account of how metacognitive skill-building could receive glowing endorsements from educators and education researchers, even though its conceptual and empirical underpinnings are flimsy. The error theory I offer identifies two major factors that may foster belief in the efficacy of metacognitive training: goalpost-shifting around the objective of such efforts, and motivated reasoning in defense of the desirable conclusion that educators can significantly reshape students’ minds and unlock their intellectual potential through simple pedagogical interventions. (shrink)

Abstract: Law professors offer to teach students something called “thinking like a lawyer.” They suggest thereby that legal thought is in some way unique. If it is, through what means is it acquired? By reading the law. And so reading the law must be a different experience than reading other things, as is implied by the admonition that thinking like a lawyer is somehow different than other thinking. In most law school education, reading is practiced as a means to an (...) end—to produce a description of the substance or procedure of a particular area of the law. Too often, it is only in legal research and writing courses that reading is explicitly addressed. Even there, it is most often analyzed only in its role as a counterpart to the goal of writing; of producing tangible text. But although reading is not studied on its own terms, it makes up most of the practice of learning the law and much of the practice of law. When we read in the utilitarian senses of describing substance or procedure or in order to learn to write, we omit the powerful, tacit learning that occurs with this reading—the learning of the legal worldview. This remains true in the practice of law as well, where reading maintains the acquired worldview. This article explores how that worldview seeps silently into the lives of lawyers while they are busy learning to describe and inscribe the law. While social science has much to tell us about the process of reading, we need to turn to the arts to see the worldview that is learned and perpetuated when one learns to read the law. (shrink)

The purpose of this essay is to look at whether Aquinas teaches in De veritate [DV], q. 1, a. 4, that truth is a form inherent in things. I take up this investigation because I am examining Lawrence Dewan's account of Aquinas's teaching on truth.1 On Dewan's account, a significant development occurs in Aquinas's teaching as regards truth as it is found in things. Before the Summa theologiae [ST], Aquinas thought that in addition to truth being in the (...) intellect, it was also in things. In ST, most explicitly in I, q. 16, a. 6, Aquinas no longer thinks that it is in things, but only in the mind. When Dewan says that before the ST truth is "in things" and in the ST it is not "in things," in both cases, by "in things," Dewan means "as a form inherent in things." What exactly this means for Dewan will be gradually brought out as I examine the text Dewan thinks most clearly teaches that truth is a form inherent in things: DV, q. 1, a. 4. (shrink)

One of the most common ancient moral teachings of considering oneself as equal with others is called the Golden Rule, which has long been the focus of different schools in time and world. This rule, as an important moral value and norm, by "adopting another perspective" (perspective_taking) causes the mutual understanding of individuals and is the cornerstone of other moral standards. . The implementation of this rule requires accurate knowledge of the needs, good and evil of others with one's own (...) conscience. In fact, to implement this rule, one must imagine oneself in another position, which causes a kind of epistemological-motivational empathy. The golden rule means "treat others as you would like to be treated" and the golden rule "do not like what others do not like for themselves" is explicitly or with different interpretations in Nahj al-Balaghah. This research uses a descriptive and analytical method and through the collection of library information to try to explain the different interpretations of the golden and silver rules in Nahj al-Balagheh. According to the results of this study, fairness, justice, compassion, identification of self-interests with others, forgiveness, meeting with different sections of society and self-discipline are among the conceptual forms of the golden rule in the words of Amir. (shrink)

Philosophers and scientists have across the ages been amazed about the fact that development and learning often lead to not just a merely incremental and gradual change in the learner but sometimes to a result that is strikingly different from the learner’s original situation: amazed, but at times also worried. Both philosophical and cognitive neuroscientific insights suggest that experts appear to perform ‘different’ tasks compared to beginners who behave in a similar way. These philosophical and empirical perspectives give some insight (...) into what happens when a novice is transitioning to a stage of expertise. Generally, this implies that increased skill and expertise support better results and a more flexible performance, in part because these allow an agent to withdraw part of her attention and other cognitive resources from the tasks involved, enabling her to devote those resources to supporting, or completely different, tasks. As positive as these developments appear, these changes have also raised concerns. The main concern is whether gaining expertise is like raising a ‘cognitive monster’ which escapes the individual’s conscious control and influences her actions with undesirable automatisms. If so, we should ask ourselves whether experts are capable of taming this monster. The answer appears initially not to be positive. Indeed, it has been noted that since it is difficult for experts to withhold automatic responses this can lead to inflexibility or performance that is only optimal under certain conditions, because it is limited to a specific domain, often context-dependent, biased and inflexible. In what follows, I will consider this challenge of protecting expertise and harnessing this brittleness from philosophical and cognitive neuroscientific perspectives. Taking into account that action is in general determined by a multitude of factors, with learning and development affecting how these factors exert their influence, a philosophical question is how this complex and dynamic process can be explained and subsequently, how controlling it might be understood. First, though, I will present the issue at hand more closely: should we appreciate expertise if it is similar to growing a ‘cognitive monster’? Second, I will introduce the framework of a “Sculpted Space of Actions” (Keestra, 2014), which I developed in order to explain how the challenge of selecting an adequate option for action is facilitated by expertise as it helps to constrain the space of potential action options. Subsequently, the question is raised of how such a Sculpted Space of Actions influences an expert’s engagement with specific situations, like teaching students in a classroom setting. It will be argued that a well prepared expert—teacher or otherwise— is not only able to rely upon her routines but will at the same time be more perceptive and attentive to unforeseen events and actions, according to the recent cognitive neuroscientific theory of Predictive Processing. Integrating the theory of Predictive Processing with the Sculpted Space of Actions framework, I conclude that expertise contributes to adaptive and flexible responses to specific contexts, yet only if it is associated with explicit planning and articulation of situation specific intentions—the latter effectively putting the cognitive monster at rest for a while. (shrink)

Medical students commonly learn how to administer pelvic exams by practicing on unconscious patients, often without first obtaining explicit consent from patients to do so. While twenty-one states currently have laws that require teaching hospitals to obtain consent from patients to participate in this educational experience, opposition from the medical community has stymied legislative progress. In this paper, I respond to the two most common reasons offered to oppose legislation, which appeal to (1) the educational benefits of these (...) exams, or (2) protecting institutional autonomy. Kantian ideas about autonomy help to illuminate the problematic ways in which these arguments supplant the importance of women’s choices over how their bodies are used while seeking medical treatment. Ultimately, neither argument offers sufficient reason to oppose laws that require explicit consent before administering training pelvic exams. (shrink)

Résumé – Nous nous intéressons à l’enseignement et l’apprentissage de l’infini en classe de mathématiques en considérant les différences et les relations entre infini potentiel et infini actuel. Nous présentons les principaux éléments de notre étude philosophique, épistémologique et didactique, ainsi que trois situations visant à conduire un travail explicite avec les élèves sur ces questions en début de lycée. ---------------------------------------------------------------------------------------------------- --------------------------------- Abstract – We are interested in the teaching and learning of infinite in mathematics class, taking into account the (...) relations between potential infinite and actual infinite. We report the main elements of our current philosophical, epistemological and didactical study; we also present three mathematical situations that we consider relevant for this purpose and to be explored with 10 and 11 grade students. (shrink)

This paper seeks to establish the reflexive fundamentals about the importance of language in initiave-functional college education, with the general objective of finding and developing categories that allow synthesizing schemes of different approaches to language, in order to contribute to the teaching practice with discourse analysis -/- techniques, which favor processes that promote the pupils’operative intellectual habits. To present this, we will show some propositions that underlie didactic strategies we have used, to motivate, stimulate, and provoke participation from the (...) students in the teaching-learning process of the topics raised in the different subjects that integrate the Sciences of Communication course at the National Autonomous University of Mexico (UNAM). -/- Therefore, the aim of this exposition of causes is to define: 1) our experiential context so to make explicit the limitations and challenges we experiment with and face in this academic exercise to provoke the pupils’ amazement or at least keep their interest; and 2) the theoretical assumptions that underlie our investigation about the relationship between observed language (system) and lived language (act). (shrink)

As the Zika virus pandemic continues to bring worry and fear to health officials and medical scientists, Centers for Disease Control and Prevention (CDC) and World Health Organization (WHO) have recommended that residents of the Zika-infected countries, e.g., Brazil, and those who have traveled to the area should delay having babies which may involve artificial contraceptive, particularly condom. This preventive policy, however, is seemingly at odds with the Roman Catholic Church’s position on the contraceptive. As least since the promulgation of (...) Paul VI’s 1968 encyclical, Humanae Vitae, the Church has explicitly condemned artificial birth control as intrinsic evil. However, the current pontiff, Pope Francis, during his recent visit to Latin America, remarked that the use of artificial contraception may not be in contradiction to the teaching of Humanae Vitae while drawing a parallel between the current Zika Crisis and the 1960’s Belgian Congo Nun Controversy. The pope mentioned that the traditional ethical principle of the lesser of two evils may be the doctrine that justified the exceptions. The authors of this paper attempt to expand the theological rationale of the pope’s suggestion. In so doing, the authors rely on casuistical reasoning as an analytic tool that compares the Belgian Congo Nun case and the given Zika case, and suggest that the former is highly similar to, if not the same as, the latter in terms of normative moral feature. That is, in both cases the use of artificial contraception is theologically justified in reference to the criteria that the doctrine of the lesser of two evils requires. The authors wish that the paper would provide a solid theological-ethical ground based on which condom-use as the most immediate and effective preventive measure can be recommended in numerous Catholic hospitals as well as among Catholic communities in the world, particularly the most Zika-affected and largest Catholic community in the world, Brazil – 123 million present Brazilian citizens are reported to be Roman Catholic. (shrink)

Philosophers such as Nietzsche, Heidegger, Derrida, Deleuze and Gendlin pronounce that difference must be understood as ontologically prior to identity. They teach that identity is a surface effect of difference, that to understand the basis of logico-mathematical idealities we must uncover their genesis in the fecundity of differentiation. In this paper, I contrast Heidegger’s analyses of the present to hand logico-mathematical object, which he discuses over the course of his career in terms of the ‘as’ structure, temporalization and enframing , (...) with the approaches of Gendlin and Deleuze, supplementing this discussion with Husserl’s investigations of mathematical idealities. Deleuze and Gendlin distinguish between the representational power a logical pattern has in itself, apart from its virtual generative source, to exactly repeat itself, and the way this self-same pattern is generated and changed by the larger situational texture within which it is embedded. In so doing, they misconstrue the empty, meaningless temporalization of logical calculation as the explicitly preserving carrying-through of already instituted implicit sense. For Heidegger, by contrast, logical inference is less a supplement to or development of implicit experience than a narrowing of its scope , a deficient mode of handiness. Experiencing something as present to hand extension modifies the relevant usefulness of ‘as’ structured comportment by stripping away what is meaningful in our relation with beings, and in the process stripping away its intelligibility. Thus, contrary to the assertions of Deleuze and Gendlin, extensive repetition does not carry through intelligible, relevant meaning, it dissolves understanding into the nihilism of empty calculation. (shrink)

A study was conducted regarding ways in which higher education institutions can improve ethics. Theoretical frameworks used included: Virtue ethics, deontological and environmental ethics theories. The total sampled written texts were 94. Non-probability sampling was used. The type that was used was online convenience sampling through web scraping. Philosophical assumption that guided this study was interpretivism and the approach was Qualitative. Case study was used as a design and content analysis as a method of data analysis. Some of the findings (...) of the study included but were not limited to the following: Higher education's ethical and professional standards are critical for retaining the trust of students, staff, and the larger society. Institutions that prioritise ethics and standards will be better positioned to carry out their goal and positively impact society. The study recommended the following to Higher education stakeholders: Create faculty-led ethics committees to evaluate and advise on ethical issues such as teaching, research, and academic freedom. Make certain that these committees are composed of a diverse spectrum of faculty members with ethics expertise; Create explicit rules and protocols for using AI, machine learning, and big data ethically in academic research and administrative processes. Address the issues of discrimination, privacy, and accountability in AI applications; and Involve alumni in ethics programs and projects to encourage them to support and contribute to ethical education and research. Create opportunities for alumni to advise students on how to develop ethical professions. (shrink)

The purpose of the article is generalization of features of expediency of the creation of innovative parks in Ukraine. Practical output of the results consists in the discovered success factors of the activity of innovative parks in Ukraine in order to create new opportunities of innovation development of the country. Current organizational and functional system of innovative entrepreneurship of Ukraine is an imperfect, complex and by all indications, is in the process of formation. It is assumed that infrastructure of international (...) educational innovative hub can structurally corrected according to the area which operates a hub that is: stimulate the dialogue between academics, businessmen and government officials; provide an interactive exchange of explicit and implicit knowledge; generate shared vision on adaptation measures of dynamic environment. Evaluation of the results of scientific and pedagogical activities of working group of innovative hub should be made for following indicators: development of skills of teaching and research work; introducing of innovative approaches for practical individual activity; formation of innovative approaches for collective practical activity; working on the chosen scientific and methodological theme. Main advantage of proposed university innovative hubs is that laid all necessary foundations in order to high school could be as soon as effectively integrate the results of university, academic and sectoral sciences of Ukraine, well as advanced research results of scientific world community in the development and implementation of innovative projects and development innovation. (shrink)

In Christ Brings All Newness: Essays, Reviews, and Reflections, Robert P. Imbelli, a theologian with a storied vocation as a priest of the Archdiocese of New York, offers a rich theological corpus explicitly grounded in Vatican II’s transformative vision. A scholar who bore witness to the unfolding of the council while studying in Rome, Imbelli carries the torch of its teachings through over five decades of preaching and teaching. With a Ph.D. in theology from Yale University, he has cultivated (...) a nuanced and sober understanding of the Catholic imagination, reflected in his previous award-winning work, Rekindling the Christic Imagination. In this current volume, Imbelli delves into the inexhaustible newness of Jesus Christ, examining how this novum has been, and ought to be, the pulsating heart of Catholic thought and praxis. The collection is poised as a bridge spanning scholarly exegesis and pastoral ministry, calling believers to re-encounter the transformative presence of Christ in an era where such a center often seems perilously close to erosion. (shrink)

The article analyzes Hannah Arendt's views on the apolitical nature of the Christian worldview and uses them as a conceptual framework for interpreting Dostoevsky's novel The Idiot. In the first part of the article, the author reveals the main points concerning the opposition between the private and the public in Arendt's theory and points out the contradictory status of Christianity in its relation to the field of the political realm. On the one hand, the philosopher uses the reference to the (...) book of Genesis as an argument for the conditionality of action by man's original being in the multitude and considers the teaching of Jesus as a special interpretation of faith as the beginning of action and the miracle that constitutes its principle. On the other hand, Arendt draws attention to the worldlessness (apoliticality) of Christianity due to the eschatological expectation of the end of the world as well as the emphasis of certain personalities (St. Paul, Aurelius Augustine) on the solitude of the created man. In its most explicit form, this ambivalence is expressed in the concept of the active good, an act whose necessary inclusion in the world is accompanied by a demand for radical concealment. In the second part of the article, the author demonstrates this contradiction using the example of Prince Myshkin, a hero whose orientation combines key features of the Christian worldview: the negativity of the author of the action in relation to the world, and the interruption of the consequences of the action, achieved by its cancellation in an act of forgiveness. (shrink)

Neuroeducation as an amalgamation of neuroscience, cognitive science and educational psychology has the explicit aim of improving classroom teaching and learning and has repeatedly stressed the role of the teacher in student motivation and learning. This article briefly reviews the nature of human learning from the perspective of neuroeducation and presents four factors of successful learning as a consequence of this line of research. These four factors relate to the credibility of the teacher, individual differences, the role of (...) a positive classroom climate and the activation of previous knowledge. (shrink)

This study is about the Quality. Here I have dealt with the quality that differs significantly from the common understanding of quality /as determined quality/ that arise from the law of dialectics. This new quality is the quality of the quantity /quality of the quantitative changes/, noticed in philosophy by Plato as “quality of numbers”, and later developed by Hegel as “qualitative quantity. The difference between the known determined quality and qualitative quantity is evident in the exhibit form of these (...) two qualities. The exhibit form of the known determined quality from the law of dialectics /or it transformation/ is related with discreteness and abrupt changes. The exhibit form of the qualitative quantity /and it transformation/ is related with the continuity and gradual transition from one condition, to a different condition, without any abrupt changes. In my paper “Quality of the quantity”, I have argued that one of the most ancient implementation of quality of the number can be found in the dimensional mathematical model of point – line – surface – figure - introduced by Plato. The most whole presentation of the idea of quality of number in Plato is embeded in his teaching about the "eidical number". The quality of the quantity emerges as criteria for recognizing the difference between the eidical numbers and natural arithmetical number. The thesis concerning Plato is based on the The Unwritten Doctrine of Plato and one of the most original works in the history of philosophy written in the 20th century - “Arete bei Platon und Aristoteles” – “Arete in Plato and Aristotle” /Heidelberg 1959/ written by Hans Joachim Krämer. The new quality as the quality of the quantity /quality of the quantitative changes/, first noticed in philosophy by Plato as “quality of numbers” was developed in Hegel as “qualitative quantity”. Hegel proclaimed the Qualitative quantity, or Measure in the both of his Logics -The Science of Logic / the Greater Logic/ and The Lesser Logic/ Part One of the Encyclopedia of Philosophical Sciences: The Logic. In my paper I have offered the arguments that the concept of quality of the quantity should be enhanced with the adopted methodological approach of analogy with an implementation in the field of the Topology - Analysis Situs, developed by the Jules Henri Poincare. In the topology we could see homeomorphism as exhibit form of Quality on the Quantity. The explicit form of the quality of the quantity transformation is the continuous deformation – typically known in topology as homeomorphism. The concept of qualitative quantity is linked with the concept “structural stability” and nonequilibrum phase transition. The concept of structural stability is related with the topological homeomorphism. In his book “Synergetics: Introduction and Advanced Topics” /Springer, ISBN 3-540-40824/, in the Chapter 1.13. Qualitative Changes: General approach, p. 434-435, Hermann Haken explores and illustrate the structural stability with an example /figure 1.13, p.434/ given by of D'Arcy W. Thompson, the Scottish biologist, mathematician and classics scholar and pioneering mathematical biologist, Nobel Laureate in Medicine /1960/, the author of the book, On Growth and Form, /1917/. The quality of the quantity could be seen in the Herman Haken’s citation on the D'Arcy W. Thompson. My thesis is that the topological homeomorphism is the explicit form of the quality of the quantity transformation. The qualitative quantity change which becomes phenomenon, according to Émile Boutroux, is the subject of study in Cultural Phenomenology of Qualitative quantity. Our approach to this subject is Poincaré Model of the Subconscious Mind in Mathematics, which is the most suitable tool to unfold the arhetype of qualitative quantity. (shrink)