Edwin Arthur Burtt , who spent the majority of his professional life at Cornell University, is most widely known as the philosopher and author of the works entitled The Metaphysical Foundations of Modern Physical Science and The Teachings of the Compassionate Buddha . These titles reflect the breadth of his philosophical interests, ranging from the philosophy of science to the philosophy of religion. These were recurrent themes in his voluminous publications appearing from the early 1920s to the (...) late 1980s. ;Thus far, no attempt has been made to examine Burtt's life's thought as a whole. This may be due to his eclecticism and penchant for incorporating ideas into Western philosophy from such diverse sources as psychoanalytic theory and Eastern philosophy and religion. Moreover, he was a philosophic activist. He sought to address the serious problems of the twentieth century, in particular the experience of the two World Wars and the threat of annihilation posed by the development of nuclear weapons. Scholars have therefore tended to refer to his works as isolated entities. His influence has been strongest at each end of the spectrum of his philosophic interests, and he is either treated as a philosopher of science or a philosopher of religion. ;This thesis aims to remedy this situation by treating Burtt's work as a whole. Throughout his seventy year philosophic odyssey there is a connecting thread, namely, his determination to develop a post-empiricist metaphysics which would receive its political expression in a world community. In his view, modern science had displaced humanity from its central place and moral significance in the ancient and medieval universe. ;For Burtt science and empiricism can only ever provide partial truth and only speak of partial realities. It was from this starting point that Burtt, after several detours, arrived at his theory of expanding awareness--his most original contribution to philosophy and the cornerstone of his mature thought. The practice of this theory, he believed, would lead to a philosophic regeneration which, in turn, would give rise to a post-scientific, or post-empiricist, metaphysics which could restore humanity to an experience of "at-home-ness" in the universe. He also believed this restoration could help resolve the critical problems facing humanity in the late twentieth century and in the future. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna (Kumarajiva) is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna (Kumarajiva) declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was (...) Nagarjuna (Kumarajiva) denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna (Kumarajiva) himself has done. Now Nagarjuna’s (Kumarajiva’s) central view can be named ‘dependence of things’. Nagarjuna (Kumarajiva) is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s (Kumarajiva’s) ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna (Kumarajiva) did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna (Kumarajiva), we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s (Kumarajiva’s) philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna (Kumarajiva) with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna (kumarajiva) with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s (Kumarajiva’s) relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s (Kumarajiva’s) examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.]. (shrink)

The study assessed the conceptual understanding and attitude toward fractions of teacher education students in a socio-constructivist learning environment. Specifically, it determined the students’ level of conceptual understanding before and after instruction; verified the types of conceptual changes that occurred; and ascertained the attitude of students toward fractions before and after instruction and its relationship to their levels of understanding. Descriptive-correlational research method was used. Socio-constructivist context-based teaching method was employed to introduce the concept of fractions. Achievement tests and interviews (...) were administered to determine the students’ level of conceptual understanding. Conceptual analysis based on Jensen and Finley’s (1995) method with Tiberghien’s (1994) classification of changes was utilized to describe students’ conceptual understanding and conceptual changes. In order to determine their attitude on fractions, students were asked to answer the socio-constructivist attitude questionnaire. The level of conceptual understanding of teacher education students in fraction was functional misconception and partial understanding before and after instruction, respectively. The type of conceptual change that occurred among teacher education students was change for the better. Socio-constructivist learning more likely to improve students’ attitudes toward fractions; promoted prosocial behavior among students; and tend to increase students’ activeness in the classroom activities as evidenced. (shrink)

This paper has two aims. First, it sets out an interpretation of the relevant logic E of relevant entailment based on the theory of situated inference. Second, it uses this interpretation, together with Anderson and Belnap’s natural deduc- tion system for E, to generalise E to a range of other systems of strict relevant implication. Routley–Meyer ternary relation semantics for these systems are produced and completeness theorems are proven. -/- .

A scholar of Hellenistic and Prussian history, Droysen developed a historical theory that at the time was unprecedented in range and depth, and which remains to the present day a valuable key for understanding history as both an idea and a professional practice. Arthur Alfaix Assis interprets Droysen’s theoretical project as an attempt to redefine the function of historiography within the context of a rising criticism of exemplar theories of history, and focuses on Droysen’s claim that the goal underlying (...) historical writing and reading should be the development of the subjective capacity to think historically. In addition, Assis examines the connections and disconnections between Droysen’s theory of historical thinking, his practice of historical thought, and his political activism. Ultimately, Assis not only shows how Droysen helped reinvent the relationship between historical knowledge and human agency, but also traces some of the contradictions and limitations inherent to that project. (shrink)

Many have begun to despair that climate justice will prevail even in a minimal form. The affective dimensions of such despair, we suggest, threaten to make climate action appear too demanding. Thus, despair constitutes a moral challenge to individual climate action that has not yet received adequate attention. In response, we defend a duty to act in hope for a more just (climate) future. However, as we see it, this duty falls differentially upon the shoulders of more and less advantaged (...) agents in society. From arguments by Black thinkers like Derrick Bell, we draw a set of distinctions between two types of hope: one for ideal justice, and one for more modest change; and between two types of hopeful actions, those undertaken through formal political channels and those we call 'extra-political' actions; and between two sites of differential moral burdens, those of the privileged and those of the oppressed. Ours is a case for facing even bleak realities, demanding otherwise, and acting in hope to achieve a better future. (shrink)

In this paper, I first present an overview of Asay’s _A Theory of Truthmaking_, highlighting what I take to be some of its most attractive features, especially his re-invigoration of the ontological understanding of truthmaking and his defence of ontology-first truthmaking over explanation-first truthmaking. Then, I articulate what I take to be a puzzling potential inconsistency: (a) he appeals to considerations to do with aboutness in criticising how well ontological views account for truth while (b) ruling out aboutness from the (...) right account of truthmaking. He argues, instead, that necessitation is both necessary and sufficient for truthmaking (§3.3). I suggest that adding aboutness to one’s account in the right way is not just compatible with but important for ontology-first truthmaking. I do all this to invite Asay to clarify his position on these matters. Overall, Asay’s worldview displays the fruitfulness of an ontologically serious approach to metaphysics that puts truthmaking centre-stage. (shrink)

There is a remarkable trend in contemporary environmentalism that emphasizes ‘accepting responsibility’ for the natural world in contrast to outdated preservationist thinking that shirks such responsibility. This approach is often explained and justified by reference to the anthropocene: this fundamentally new epoch—defined by human domination—requires active human intervention to avert planetary catastrophe. However, in this paper, I suggest this rhetoric encourages a flight from history. This often jubilant, sometimes anxious, yearning for unprecedented human innovation and—ultimately—control in our new millennia mirrors (...) the Futurist movement that took off near the beginning of the last century. Despite the significant differences in the details of how academics have defended this twenty-first-century environmental outlook, they all represent the true flight from history; they too quickly jettison the ideas of historical environmentalists and so misunderstand the environmental values at the heart of preservation that are more salient than ever. (shrink)

We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. The ψ function is no longer interpreted as a probability amplitude of the observed behaviour of elementary particles but as an objective physical field representing the particles themselves. The particles are thus extended objects whose extension varies in time according to (...) the variation of ψ. They are considered as fundamental regions of space with some kind of nonlocality. Special consideration is given to the Heisenberg relations, the Einstein-Podolsky- Rosen correlations, the reduction process, the problem of measurement, and the quantum-statistical distributions. (shrink)

Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...) independent of F (for all F in a partition of the underlying state space) is sufficient to avoid dilation, but (2) stochastic independence is not the only independence concept at play within imprecise probability models. In this paper we give a simple characterization of dilation formulated in terms of deviation from stochastic independence, propose a measure of dilation, and distinguish between proper and improper dilation. Through this we revisit the most sensational examples of dilation, which play up independence between dilator and dilatee, and find the sensationalism undermined by either fallacious reasoning with imprecise probabilities or improperly constructed imprecise probability models. (shrink)

The present narrative review seeks to unravel where we are now, and where we need to go to delineate the active ingredients in psychotherapy delivered by conversational agents (e.g., chatbots). While psychotherapy delivered by conversational agents has shown promising effectiveness for depression, anxiety, and psychological distress across several randomized controlled trials, little emphasis has been placed on the therapeutic processes in these interventions. The theoretical framework of this narrative review is grounded in prominent perspectives on the active ingredients in psychotherapy. (...) Based on search terms derived from various theoretical perspectives, we conducted a systematic literature search of four scientific databases and identified 17 studies. Across the selected studies, three themes emerged: relationship variables, emotional venting, and cognitive factors. While methodological issues compromise the epistemic value of this evidence base, core questions also remain to be answered. Such questions include, but are not limited to, whether humans can form affectionate bonds to inanimate beings and whether these kind of mental health treatments should be understood as psychotherapy or something else. Researchers should therefore be cautious when applying theories of psychotherapy in the realm of conversational agents. We conclude the paper by introducing recommendations for future research, which we hope will help instigate methodologically sound studies in this field. (shrink)

My real position is that logic is a mere sub-branch of rhetoric, but in this paper I only try to show an area of overlap. Certain usages in logical work are metaphorical, and I argue that this has pernicious effects in a discipline assumed strictly literal. Among these pernicious effects are the bizarre and fruitless focus of philosophy of mathematics on the pseudo-problems of foundations and objects. I mostly examine the locution 'logical construction' and a range of associated metaphors. Some (...) sketchy remarks on the history of rhetoric are offered in explanation. (shrink)

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

The computational paradigm, which has dominated psychology and artificial intelligence since the cognitive revolution, has been a source of intense debate. Recently, several cognitive scientists have argued against this paradigm, not by objecting to computation, but rather by objecting to the notion of representation. Our analysis of these objections reveals that it is not the notion of representation per se that is causing the problem, but rather specific properties of representations as they are used in various psychological theories. Our analysis (...) suggests that all theorists accept the idea that cognitive processing involves internal information-carrying states that mediate cognitive processing. These mediating states are a superordinate category of representations. We discuss five properties that can be added to mediating states and examine their importance in various cognitive models. Finally, three methodological lessons are drawn from our analysis and discussion. (shrink)

A central tenet of truthmaker theory is that necessitation is necessary for truthmaking (NEC). This paper defends NEC in a novel, piecemeal way, namely by responding to a potential counterexample involving a changing past. If Carter won a race at t1 but is later disqualified at t2, then Carter no longer won at t1. A wholly past event seems to have changed in the future. The event makes ‘Carter won the race at t1’ (RACE) true between t1‐2 but fails to (...) make it true at t2. So, we have a potential counterexample to necessitation: a truthmaker of RACE fails in another context to make the same truthbearer RACE true. I argue that the best solution to this challenge is not that there are different truthbearers at t1‐2 and t2 (the semantic response), or that RACE was never true because of the future disqualification or will always be true despite the future disqualification. The best solution is to accept that the past can change: past events can change based on what happens in the future (e.g., via their effects). This paper's novel defence of necessitation will illustrate the importance of utilising explicitly ontological and commonsensical tools in accounting for truth. (shrink)

The potential benefits of cognitive skills in enhancing mathematics ability have been claimed by numerous researchers. Since mathematics requires a complete understanding and grasp of abstract concepts, it is essential to explore how learning with metacognitive skills affects mathematics learning. Thus, the study investigates the students' metacognitive awareness and conceptual understanding of integers. A descriptive-correlational method approach was utilized, and it was carried out on 303 seventh-grade students. The data were obtained using a metacognitive awareness inventory and achievement test on (...) integers. It was further revealed that the students have average metacognitive awareness and performed well in the fundamental operation of integers. Follow-up qualitative analysis revealed that students who were high achievers had the best understanding, average achievers had corrected or incomplete understanding, and low achievers had a functional misconception of integers. Moreover, the student's metacognitive awareness was significantly related to their conceptual understanding of integers. This indicates that student's higher-order thinking skills, such as metacognition, are essential since they are associated with building conceptual skills. Thus, teachers should encourage students' metacognitive awareness to improve students' conceptual understanding of integers. The study provides relevant information for educational managers on the potential factors to be considered in improving mathematics education practices, particularly in promoting metacognition among high school students. (shrink)

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans out the (...) incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual. Keywords:. (shrink)

Mathematics is considered one of the most challenging courses for many elementary pre-service teachers (EPTs). In hopes for improvement, teacher educators have been incorporating a jigsaw strategy to equip future teachers with the necessary competencies. Hence, the study aimed to determine the effectiveness of the jigsaw strategy with EPTs’ level of mathematics achievement and interest in an online cooperative learning environment. The research utilized a pre-experimental design with 40 participants. The researchers used pretest and posttest questions covering fraction operations and (...) a mathematics interest questionnaire before and after the intervention. With the implementation of the jigsaw strategy, results showed that the EPTs’ mathematics achievement improved while their interest in mathematics improved to some extent. Likewise, a significant difference between the pre-and post-intervention concerning the EPTs’ mathematics achievement and interest in mathematics was found. Furthermore, correlation analysis revealed that study time is negatively related to mathematics achievement, as is the overall level of interest in mathematics. These findings imply that a jigsaw strategy is a useful tool in teaching mathematics online. However, several modifications may be considered to recognize that the EPTs’ interest in mathematics varies from one person to another. Teacher education institutions are encouraged to apply this strategy not only for EPTs to increase their mathematical know-hows but also to serve as an example for them to employ in their future teaching careers. (shrink)

The study determined the problem-solving performance and skills of prospective elementary teachers (PETs) in the Northern Philippines. Specifically, it defined the PETs’ level of problem-solving performance in number sense, measurement, geometry, algebra, and probability; significant predictors of their problem-solving performance in terms of sex, socio-economic status, parents’ educational attainment, high school graduated from and subject preference; and their problem-solving skills. The PETs’ problem-solving performance was determined by a problem set consisting of word problems with number sense, measurement, geometry, algebra, and (...) probability. A mixed-method research design was employed. Senior PETs purposively served as a sample where they mostly preferred to teach other subjects than mathematics. PETs who preferred math performed satisfactorily, while prospective teachers who opted for other subjects performed unsatisfactorily. The PETs’ unsatisfactory output indicates the need for remediation to advance the mathematical material skills and enrich the problem-solving abilities of these primary schools' potential teachers. Besides, results showed that subject preference strongly affected and predicted the problem-solving success of the PETs. PETs who preferred to teach mathematics performed significantly better than their counterparts; hence, mathematics as a field of specialization in the Bachelor of Elementary Education program may be considered by teacher education institutions. Further, most PETs displayed lack of problem-solving skills; thus, a Problem-Solving course is recommended for them. (shrink)

I am grateful to Donald Ainslie, Lisa Austin, Michael Blake, Abraham Drassinower, David Dyzenhaus, George Fletcher, Robert Gibbs, Louis-Philippe Hodgson, Sari Kisilevsky, Dennis Klimchuk, Christopher Morris, Scott Shapiro, Horacio Spector, Sergio Tenenbaum, Malcolm Thorburn, Ernest Weinrib, Karen Weisman, and the Editors of Philosophy & Public Affairs for comments, and audiences in the UCLA Philosophy Department and Columbia Law School for their questions.

At the end of the 19th century, most professional historians – wherever they existed – deemed history to be a form of knowledge ruled by a method that bears no resemblance with those most commonly traceable in the natural sciences. The bulk of the historian’s task was then frequently regarded as being the application of procedures frequently referred to as ‘historical method’. In the context of such an emerging interest on historical methods and methodology, at least three textbooks stand out: (...) Johann Gustav Droysen’s Grundriss der Historik (Outline of the Theory of History), Ernst Bernheim’s Lehrbuch der historischen Methode (Handbook of Historical Method), and Charles Langlois and Charles Seignobos’s Introduction aux études historiques (Introduction to the Study of History). These books were quite influential in Germany, France, and elsewhere, and they very much helped promote a general idea of historical method that would become relatively consensual among historians of many nationalities by the early 20th century. Such a relative agreement on historical method sponsored both the communication and the development of a sense of disciplinary identity among historians trained within different and sometimes conflicting national traditions. It was then partially extended, partially challenged, and surely made more complex when, from the 1920s on, social and economic historians became a good part of the historiographical establishment in many countries. -/- The three books by Droysen, Bernheim, and Langlois and Seignobos were already pieced together by Rolf Torstendahl, who studied them as a group of texts that, despite their differences, contributed to shape the developments outlined above. However, Torstendahl’s primary aim was to show how Droysen, Bernheim, and Seignobos all resorted to ‘method’ as a way to circumvent skepticism against the possibility of historical knowledge, rather than investigate the internal interrelationships between the three texts. In this chapter I follow precisely this latter, not yet taken, road, focusing on crucial cross-references between the Grundriss, the Lehrbuch, and the Introduction. I intend to show that, at a general level, the schemes of historical method found in these texts are largely convergent, and that this convergence is due to Bernheim’s reading of Droysen and to Langlois and Seignobos’s reading of Bernheim. I will attempt to do it through a regressive approach that starts with an analysis of the Introduction. Aspects of the editorial history and circulation of the three texts will also be briefly addressed, as a way to illustrate their special importance within the framework of early 20th century historical theory. Because my argument calls for a focus on the most general lines of Droysen’s, Bernheim’s, and Langlois and Seignobos’s schemes of historical method, I will, for the sake of consistency, refrain from analysing in-depth the complex epistemological and ontological arguments in which those schemes are nested. (shrink)

In "De l’Allemagne", Mme de Staël develops a sophisticated philosophical psychology that centers not on reason, but imagination. She does this by bringing French Enlightenment philosophy, particularly Rousseau and Diderot, into dialogue with German thinkers, including Kant and Herder. For Mme de Staël, imagination transcends the epistemic limits of sensibility and reason by incorporating sentiment.

Mathematical modeling offers a promising approach to improving mathematics education. This study aims to determine if the concept of metacognitive awareness in the learning process is associated with mathematical modeling. This study also considers the interaction effect of sex and academic year level on both variables. Focusing the study on preservice elementary teachers might address potential issues and targeted intervention in their preparation program concerning their ability to teach and guide young learners in modeling activities. The research sample includes 140 (...) preservice elementary teachers at Central Luzon State University, Philippines. Data collection used an adapted metacognitive awareness inventory and a validated researcher-made mathematical modeling competency test aligned with the K-12 mathematics curriculum in the Philippines. Results revealed that the preservice elementary teachers had a high metacognitive awareness and mathematical modeling competency, ranging from 22 to 31 out of 36 points. Besides, Factorial ANOVA indicates that academic year level positively affects both variables regardless of sex, and stepwise regression analysis unveiled that information management, declarative knowledge, and planning significantly predict 41.4% of the mathematical modeling competency variance. This suggests that developing metacognitive awareness supports preservice elementary teachers in performing modeling tasks that improve their competency level in mathematics. (shrink)

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each single-particle spin-component eigenfunction in the plane normal to the spin-quantization axis, is exchanged along with the other parameters. The spin factor (−1)2s belongs to the exchange wave function when this function is constructed so as to get the spinor ambiguity under control. (...) This is achieved by effecting the exchange of the azimuthal angle by means of rotations and admitting only rotations in one sense. The procedure works in Galilean as well as in Lorentz-invariant quantum mechanics. Relativistic quantum field theory is not required. (shrink)

This study determined the cognitive skills achievement in mathematics of elementary pre-service teachers as a basis for improving problem-solving and critical thinking which was analyzed using Piaget's seven logical operations namely: classification, seriation, logical multiplication, compensation, ratio and proportional thinking, probability thinking, and correlational thinking. This study utilized an adopted Test on Logical Operations (TLO) and descriptive research design to describe the cognitive skills achievement and to determine the affecting factors. Overall, elementary pre-service teachers performed with sufficient understanding in dealing (...) with the TLO. However, in each logical operation, students were found to have insufficient understanding of probability thinking and correlational thinking. These insufficiencies in other logical operations were attributed to their misconceptions on some mathematical terms, misinterpretation of the problems, poor comprehension skills, poor problem-solving skills, and poor performance in mathematics in general. (shrink)

In this chapter I argue that there are three different senses of 'lie' in Kant's moral philosophy: the lie in the ethical sense (the broadest sense, which includes lies to oneself), the lie in the 'juristic' sense (the narrowest sense, which only includes lies that specifically harm particular others), and the lie in the sense of right (or justice), which is narrower than the ethical sense, but broader than the juristic sense, since it includes all lies told to others, including (...) those who are bent on harming innocent others. (shrink)

Trata-se de um trabalho de natureza didática cujo propósito é introduzir o leitor à teoria da história de Jörn Rüsen. O texto inicia-se com uma introdução que situa este autor no contexto do desenvolvimento histórico da disciplina “teoria da história. Está dividido em três capítulos, nos quais os cinco componentes da sua “matriz disciplinar da ciência histórica são apresentados e discutidos, a saber (1) as carências de orientação e funções orientativas; (2) perspectivas diretoras da interpretação histórica e métodos de pesquisa (...) empírica; e (3) as formas de apresentação histórica. O trabalho finaliza-se com uma lista bibliográfica, da qual constam os títulos mais importantes de Rüsen, bem como uma série de comentários à sua teoria da história. (shrink)

Since W. B. Gallie introduced the notion of essentially contested concepts (ECCs) in 1956, social science scholars have increasingly used his framework to analyze key concepts drawing “endless disputes” from contestant users. Despite its merits, the ECC framework has been limited by a neglect of social, cultural, and political contexts, the invisibility of actors, and its ahistorical character. To understand how ECCs evolve and change over time, I use a conceptual history approach to study the concept of philanthropy, recently labeled (...) as an ECC. Using France during classical modernity as a case study, I analyze key events and actors from the concept’s inception in 1712 as a virtue of the Enlightenment to its triumph after 1789 as a secular alternative to Catholic charity, until its decline at the end of the nineteenth century as a new consensus emerged around the concept of solidarity. By introducing the notion of historically contested concepts, I make several contributions to research on ECCs, conceptual contestation, and conceptual change. (shrink)

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...) this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics. (shrink)

Withdrawal involves emotional pain that motivates much addictive behavior. In this paper, I argue that the emotional pain of withdrawal compels much addictive behavior. Researchers have noticed this possibility but it is widely underappreciated. Among philosophers, only Hanna Pickard has discussed emotional compulsion in addiction, and the emotional aspect of withdrawal has been almost completely neglected. Accounts of emotional compulsion in the philosophical literature (from Tappolet, Elster, and Furrow) probably do not capture how the distress of withdrawal compels, so I (...) propose a more suitable account of “pathodoxastic” compulsion in addiction. On this account, the emotional pain of withdrawal compels when it undermines the ability to believe that one can continue to endure it, and therefore the ability to intend abstinence. (shrink)

What is history about? This Element shows that answers centred on the keyword 'past events' are incomplete, even if they are not simply wrong. Interweaving theoretical and historical perspectives, it provides an abstract overview of the thematic plurality that characterizes contemporary academic historiography. The reflection on different sorts of pasts that can be at focus in historical research and writing encompasses events as well as non-events, especially recursive social structures and cultural webs. Some consequences of such plurality for discussions concerning (...) historical methodology, explanation, exemplification, and representation are also outlined. The basic message, reinforced throughout, is that the great relevance of non-event-centred approaches should prompt us to talk more about “histories” in the plural and less about “history” in the singular. (shrink)

The perceptual symbol system view assumes that perceptual representations have a role-argument structure. A role-argument structure is often incorporated into amodal symbol systems in order to explain conceptual functions like abstraction and rule use. The power of perceptual symbol systems to support conceptual functions is likewise rooted in its use of structure. On Barsalou's account, this capacity to use structure (in the form of frames) must be innate.

For a long time philosophers have struggled to reach a definition of knowledge that is fully satisfactory from an intuitive standard. However, what could be so fuzzy about the concept of knowledge that it makes our intuitions to not obviously support a single analysis? One particular approach from a naturalistic perspective treats this question from the point of view of the psychology of concepts. According to it, this failure is explained by the structure of our folk concept of knowledge, which (...) organizes its constitutive information in a much looser way than we assume when we rely on intuitive knowledge ascriptions. I will adopt the same starting point here, but argue against the proposed answer and defend the view that this difficulty is explained not by something related to the specific structure of our concept of knowledge but, on the contrary, by its lack of structure. I claim that our folk concept of knowledge should be understood as a primitive mental state concept. (shrink)

There is no paradox with Schrödinger’s cat in a realist interpretation. In particular, a closer look at the temporal aspect shows that the two macroscopic wave functions (alive and dead) of Schrödinger’s cat are not to be compared with two superposed parts of a microscopic quantum wave function.

Why microscopic objects exhibit wave properties (are delocalized), but macroscopic do not (are localized)? Traditional quantum mechanics attributes wave properties to all objects. When complemented with a deterministic collapse model (Quantum Stud.: Math. Found. 3, 279 (2016)) quantum mechanics can dissolve the discrepancy. Collapse in this model means contraction and occurs when the object gets in touch with other objects and satisfies a certain criterion. One single collapse usually does not suffice for localization. But the object rapidly gets in touch (...) with other objects in a short time, leading to rapid localization. Decoherence is not involved. (shrink)

An essay on the compatibility of Jewish and Muslim aspirations for the Land that argues that a vision of peaceful coexistence to provide a spur to the settling of grievances, but that this vision must respect the deeply felt aspirations of both communities, including in particular those underpinned by religious lore. Existing formulations of the aims of each community are blatantly inconsistent; it is time to attempt to characterise the just and religiously authentic goals of each community in ways that (...) are compatible. I argue that there religious and personal dimensions of the conflict that have been displaced by less deep-seated political goals, but which can be addressed more readily. I outline a tiered constitutional settlement that could address legitimate aspirations by avoiding the anathema of partition. (shrink)

We present an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new inter- pretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. Elementary particles are considered as extended objects and nonlocal effects are included. The role of the new concepts in the problems of measurement and of the Einstein-Podolsky-Rosen correlations is described. Experiments to distinguish the proposed interpretation from the Copenhagen one (...) are pointed out. (shrink)

Throughout Alexandre Herculano’s historical oeuvre claims of impartiality are mingled with the partiality of the beliefs, ideals, and interests that give shape to the author’s point of view. One can trace in it both the commitment to the disinterested search for truth and the pragmatic intention to remodel the relations of Portuguese society with its past and with the effects of this past on the present. This text revisits Herculano’s major historical writings with the aim of understanding how it is (...) possible for historical texts to be or claim to be at the same time true and useful, objective and engaged, impartial and partial. I intend to show that those oppositions not necessarily entail paralyzing contradictions, and that good historians such as Herculano are usually capable of drawing from them a great amount of intellectual energy. Focusing on the tension between impartiality and partiality, and supported by close readings and contextual analyses, I will try to demonstrate that such tension configures itself in at least two different modes, which in turn depend on the positive or negative significance the studied past turns out to have for the person who studies it. (shrink)

In this review of John Shand's book on the history of western philosophy, I point out that the book is only concerned with epistemology and metaphysics, and only considers in detail the work of twenty individual philosophers. There are no entries on Socrates, Hobbes, Bentham, Schopenhauer, Mill, Kierkegaard, Marx, James, Frege, or Heidegger, and the final chapter on "Recent Philosophy" is only six and a half pages long, with each of the thirteen philosophers given a single paragraph each. Within these (...) narrow limits, Shand does an excellent job of presenting the epistemology and metaphysics of each major philosopher considered. (shrink)

In this essay I argue that Shelley's "A Defense of Poetry" is best understood as a defense of poetic language, which is in turn best understood as a defense of metaphorical language. According to Shelley, the metaphors of the poets reveal (extra-linguistic) reality, and have a truth value – they are true insofar as they capture reality. The literal language of "mere reasoners" of science and philosophy, by contrast, only reveals relations between ideas already known, and their statements are true (...) in virtue of the meanings of the words. Shelley's essays has been misunderstood because writers on metaphor such as David Cooper and Richard Rorty have assumed that metaphors are neither true nor false, and that defenders of metaphorical language such as Shelley are defending non-truth-apt language. Even those writers on metaphor who believe that metaphors are truth-apt, such as Raymond Gibbs, fail to understand that Shelley should be included in their number. (shrink)

In this book chapter I argue that contrary to what is said by Paul Guyer in Kant (Routledge, 2006) Kant's moral philosophy prohibits the bystander from throwing the switch to divert the runaway trolley to a side track with an innocent person on it in order to save more people who are in the path of the trolley in the "Trolley Problem" case made famous by Judith Jarvis Thomson (1976; 1985). Furthermore, Thomson herself (2008) came to agree that it would (...) be wrong to throw the switch, just as it is wrong to push the person off the bridge to stop the trolley (1976; 1985). In changing her mind about this case, Thomson came to agree with Kant as well as with Philippa Foot (1967) who argued in her original paper that a negative duty not to harm one healthy patient outweighed a positive duty to give aid to five other patients by transplanting the healthy person's organs. (shrink)

In this article I argue that it is underdetermined what Spinoza is arguing for when he says in Proposition 72 of Part IV of the Ethics that (translated) "A free man never acts deceitfully, but always in good faith." In "Spinoza, Lying, and Acting in Good Faith," John Bauer has argued that Spinoza lays down an absolute moral prohibition never to lie.

In the Philippines, improving pre-service math teachers’ critical thinking is receiving increasing attention, emphasizing the importance of tailoring instructional methods to students’ learning approaches for a more equitable environment and enhanced mathematics performance. Thus, this study aimed to determine if the critical thinking disposition subscales (reflective, attentiveness, open-mindedness, organization, perseverance, and intrinsic motivation) and learning approach (deep approach and surface approach) predict the mathematics performance of pre-service math teachers. This study employed a descriptive-correlational research design to randomly selected 125 pre-service (...) math teachers from Central Luzon, Philippines. The survey instruments are administered through the student-educator negotiated CTDs scale, the revised two-factor study process questionnaire, and the 40-item validated test. Using descriptive analysis, findings revealed that preservice mathematics teachers have moderate levels of CTD, most of which use a deep approach and have average mathematics performance. Regression analysis showed that CTD and the deep approach were predictors. Therefore, pre-service mathematics teachers with a higher CTD and a deep approach are likelier to perform better in mathematics. These findings provide valuable insights into enhancing mathematics teacher education. (shrink)

According to Kantians, coercion and deception are the two fundamental kinds of wrongdoing. Although this may be true, I wish to argue against two other related assumptions about coercion and deception held by Kantians as well as non-Kantians. One is the assumption that coercion is morally worse than deception, all things being equal. The other is the assumption that whenever coercion is morally permissible, deception is morally permissibe, all things being equal. Both of these assumptions, I argue, are false. Deception (...) is morally worse than coercion, and deception is never morally permissible in virtue of the fact that coercion is morally permissible, whenever coercion is morally permissible. (shrink)