Many believe that an upward-sloping life is better than a downward-sloping life because of its shape. This is a common way of formulating the shape of a life hypothesis. We argue that the hypothesis is mistaken. We need not assume that there is something intrinsically valuable in the shape of one’s life to justify the tendency to judge an upward-sloping life as better than a downward sloping one. Instead, we can appeal to more fundamental and less controversial claims to justify (...) such a judgment. What one might justifiably judge to be better are features of lives which are often (though not necessarily) correlated with, rather than constituted by, an upward slope. (shrink)

How should we make distributive decisions when there is not enough of the good to go around, or at least not enough of it right now? What does fairness require in such cases? In what follows, we distinguish between cases of scarcity and bottleneck cases, and we argue that both arguments for lotteries and arguments for queues have merit, albeit for different distributive scenarios. When dealing with scarcity not everyone can get the good. A secondary good that can be distributed (...) fairly is the chances of obtaining the good. In cases of scarcity, lotteries are the best way of allocating chances of obtaining the good fairly. When dealing with bottlenecks, the secondary good that can and ought to be distributed fairly is waiting time. Queues are best suited to distribute the good of waiting time fairly. (shrink)

Many philosophers reject the view that well-being over a lifetime is simply an aggregation of well-being at every moment of one's life, and thus they reject theories of well-being like hedonism and concurrentist desire satisfactionism. They raise concerns that such a view misses the importance of the relationships between moments in a person's life or the role narratives play in a person's well-being. In this article, we develop an atomist meta-theory of well-being, according to which the prudential value of a (...) life depends solely on the prudential value of each moment of that life. This is a general account of momentary well-being that can capture different features of well-being that standard atomistic accounts fail to capture, thus allowing for the possibility of an atomism that is compatible with a variety of well-being theories. Contrary to many criticisms leveled against momentary well-being, this well-being atomism captures all of the important features of well-being. (shrink)

Philosophers of well-being have tended to adopt a foundationalist approach to the question of theory and measurement, according to which theories are conceptually before measures. By contrast, social scientists have tended to adopt operationalist commitments, according to which they develop and refine well-being measures independently of any philosophical foundation. Unfortunately, neither approach helps us overcome the problem of coordinating between how we characterize well-being and how we measure it. Instead, we should adopt a coherentist approach to well-being science.

Generating an account that can sidestep the disagreement among substantive theories of well-being, while at the same time still providing useful guidance for well-being public policy, would be a significant achievement. Unfortunately, the various attempts to remain agnostic regarding what constitutes well-being fail to either be an account of well-being, provide useful guidance for well-being policy, or avoid relying on a substantive well-being theory. There are no theory-free lunches in well-being policy. Instead, I propose an intermediate account, according to which (...) well-being is constituted by endorsed veridical experiences. This account refers back to theories of well-being but does so as agnostically as possible. An intermediate account of well-being is meant as a policy guiding compromise between the different theories of well-being that make claims regarding what constitutes well-being. An intermediate account does as well as can be hoped for in providing a basis for well-being policy. (shrink)

It is an open question whether well-being ought to primarily be understood as a temporal concept or whether it only makes sense to talk about a person’s well-being over their whole lifetime. In this article, I argue that how this principled philosophical disagreement is settled does not have substantive practical implications for well-being science and well-being policy. Trying to measure lifetime well-being directly is extremely challenging as well as unhelpful for guiding well-being public policy, while temporal well-being is both an (...) adequate indirect measure of lifetime well-being, and an adequate focus for the purposes of improving well-being through public policy. Consequently, even if what we ought to care about is lifetime well-being, we should use temporal measures of well-being and focus on temporal well-being policies. (shrink)

Spoofing is the act of placing orders to buy or sell a financial contract without the intention to have those orders fulfilled in order to create the impression that there is a large demand for that contract at that price. In this article, I deny the view that spoofing in financial markets should be viewed as morally permissible analogously to the way bluffing is permissible in poker. I argue for the pro tanto moral impermissibility of spoofing and make the case (...) that spoofing is disanalogous from bluffing in at least one important regard—speculative trading serves an important economic role, whereas poker does not. (shrink)

Policy-makers sometimes aim to improve well-being as a policy goal, but to do this they need some way to measure well-being. Instead of relying on potentially problematic theories of well-being to justify their choice of well-being measure, Daniel Hausman proposes that policy-makers can sometimes rely on preference-based measures as evidence for well-being. I claim that Hausman’s evidential account does not justify the use of any one measure more than it justifies the use of any other measure. This leaves us at (...) a loss as to which policy should be chosen in the non-trivial cases for which there is substantial disagreement between the different measures in their assessment of policy. (shrink)

in recent years, policy makers have shown increasing interest in implementing policies aimed at promoting individual well-being. But how should policy makers choose their well-being policies? a seemingly reasonable first step is to settle on an agreed-upon definition of well-being. yet there currently is significant disagreement on how well-being ought to be characterized, and agreement on the correct view of well-being does not appear to be forthcoming. Nevertheless, i argue in this paper that there are several reasons to think that (...) the domain of well-being in the public policy context is narrower than that of well-being in general, which makes agreement on how to understand well-being in the public policy context more likely. (shrink)

According to what I call the ‘argument from public bads’, if a researcher deceived subjects in the past, there is a chance that subjects will discount the information that a subsequent researcher provides, thus compromising the validity of the subsequent researcher’s experiment. While this argument is taken to justify an existing informal ban on explicit deception in experimental economics, it can also apply to implicit deception, yet implicit deception is not banned and is sometimes used in experimental economics. Thus, experimental (...) economists are being inconsistent when they appeal to the argument from public bads to justify banning explicit deception but not implicit deception. (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)

In book II of Plato’s Republic, Socrates discusses the cities of necessity and luxury (372d-373a). Discussions of these cities have often focused on citizens desiring more than they need, which creates a demand for luxury. Yet the second part of the equation, which is not usually recognized, is that there must be sufficient supply to meet this demand. The focus of this article is on the importance of supply in the discussion of the first two cities in book II of (...) the Republic. This article argues that the way Plato models the cities makes it the case that a surplus above levels of necessity will be generated from time to time. That the unwanted surplus cannot be spontaneously disposed of entails that the first two cities are institutionally incomplete. A government is needed in order to coordinate the disposal of the surplus supply the city will produce. (shrink)

The move from open outcry to electronic trading added another responsibility to futures exchanges—that of matching orders between buyers and sellers. Matching systems can affect the level and speed of price discovery, the distribution of revenue, as well as the level of price efficiency of a given market. Whether the matching system is procedurally fair is another important consideration. I argue that while FIFO (First In First Out) is a fair procedure in principle and is perceived as the default matching (...) system, it is not a fair procedure in practice. Likewise, while pro rata is a fair procedure in principle, it is not so in practice. Nevertheless, both FIFO and pro rata are relics of an open outcry system. Instead, I propose an alternative approach to matching systems that builds on the strengths of electronic trading—the ability to randomize in real time. I introduce random selection for service (RSS) as a matching system that is procedurally fair both in principle and in practice. (shrink)

In this article Judith Jarvis Thomson's Good Samaritan Argument in defense of abortion in the case of rape is defended from two objections: the Kill vs. Let Die Objection, and the Intend to Kill vs. Merely Foresee Death Objection. The article concludes that these defenses do not defend Thomson from further objections from Peter Singer and David Oderberg.

Alasdair MacIntyre argues that moral virtues are antithetical to what is required of those who trade in financial markets to succeed. MacIntyre focuses on four virtues and argues that successful traders possess none of them: (i) self-knowledge, (ii) courage, (iii) taking a long-term perspective, and (iv) tying one’s own good with some set of common goods. By contrast, I argue that (i)–(iii) are, in fact, traits of successful traders, regardless of their normative assessment. The last trait – caring about the (...) common good – is often counterproductive in most for-profit ventures, including trading, and so singling out traders is inappropriate. (shrink)

In this paper we discuss James Buchanan’s contribution in the narrow domain of understanding committee voting under majority rule. We then go on to discuss Charles Plott’s seminal experimental work on the topic that sparked a wave of public choice experimental work. However, given Plott’s claims that Buchanan influenced him significantly, it is puzzling that his work with Morris Fiorina explores a question outside of those which Buchanan and Tullock found interesting. We suggest several ways to resolve this tension. Our (...) chapter concludes by discussing a lacuna in the experimental public choice literature in which Buchanan was particularly interested—logrolling, or vote trading. (shrink)

Some advances in bioethics regarding ethical considerations that arise in the context of medical research can also be relevant when thinking about the ethical considerations that arise in the context of SoTL research. In this article, I aim to bring awareness to two potential ethical challenges SoTL researchers might face when playing a dual role of teacher and researcher that are similar to the challenges physicians face in their dual role of physician and researcher. In this article, I argue that (...) two commonly discussed concerns in bioethics---the need for clinical equipoise and the possibility of a therapeutic misconception---have analogies when conducting some types of research on students. I call these counterparts educational equipoise and the educational misconception. (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. -/- .

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)

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)

In today’s fast-changing educational settings, technology integration offers the opportunity to enhance mathematics instruction. This study determines the significant socio-cognitive factors among preservice mathematics teachers (PMTs) affecting their behavioral intention toward the use of technology. A descriptive-correlational research design was employed with 130 participants. Revised UTAUT construct items and behavioral intention scales were utilized through survey forms. Findings revealed that the participants were more inclined to use technology in their pedagogical approach. The only socio-cognitive factors significantly affecting the participants’ positive (...) inclination to utilize educational technology were performance expectancy, effort expectancy, and social influence. However, when controlling for the effects of the participants’ willingness to use technology, social influence became insignificant. Developing favorable impressions of technology’s effectiveness and ease of use may encourage greater technology integration in mathematics education. (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)

The INBIOSA project brings together a group of experts across many disciplines who believe that science requires a revolutionary transformative step in order to address many of the vexing challenges presented by the world. It is INBIOSA’s purpose to enable the focused collaboration of an interdisciplinary community of original thinkers. This paper sets out the case for support for this effort. The focus of the transformative research program proposal is biology-centric. We admit that biology to date has been more fact-oriented (...) and less theoretical than physics. However, the key leverageable idea is that careful extension of the science of living systems can be more effectively applied to some of our most vexing modern problems than the prevailing scheme, derived from abstractions in physics. While these have some universal application and demonstrate computational advantages, they are not theoretically mandated for the living. A new set of mathematical abstractions derived from biology can now be similarly extended. This is made possible by leveraging new formal tools to understand abstraction and enable computability. [The latter has a much expanded meaning in our context from the one known and used in computer science and biology today, that is "by rote algorithmic means", since it is not known if a living system is computable in this sense (Mossio et al., 2009).] Two major challenges constitute the effort. The first challenge is to design an original general system of abstractions within the biological domain. The initial issue is descriptive leading to the explanatory. There has not yet been a serious formal examination of the abstractions of the biological domain. What is used today is an amalgam; much is inherited from physics (via the bridging abstractions of chemistry) and there are many new abstractions from advances in mathematics (incentivized by the need for more capable computational analyses). Interspersed are abstractions, concepts and underlying assumptions “native” to biology and distinct from the mechanical language of physics and computation as we know them. A pressing agenda should be to single out the most concrete and at the same time the most fundamental process-units in biology and to recruit them into the descriptive domain. Therefore, the first challenge is to build a coherent formal system of abstractions and operations that is truly native to living systems. Nothing will be thrown away, but many common methods will be philosophically recast, just as in physics relativity subsumed and reinterpreted Newtonian mechanics. -/- This step is required because we need a comprehensible, formal system to apply in many domains. Emphasis should be placed on the distinction between multi-perspective analysis and synthesis and on what could be the basic terms or tools needed. The second challenge is relatively simple: the actual application of this set of biology-centric ways and means to cross-disciplinary problems. In its early stages, this will seem to be a “new science”. This White Paper sets out the case of continuing support of Information and Communication Technology (ICT) for transformative research in biology and information processing centered on paradigm changes in the epistemological, ontological, mathematical and computational bases of the science of living systems. Today, curiously, living systems cannot be said to be anything more than dissipative structures organized internally by genetic information. There is not anything substantially different from abiotic systems other than the empirical nature of their robustness. We believe that there are other new and unique properties and patterns comprehensible at this bio-logical level. The report lays out a fundamental set of approaches to articulate these properties and patterns, and is composed as follows. -/- Sections 1 through 4 (preamble, introduction, motivation and major biomathematical problems) are incipient. Section 5 describes the issues affecting Integral Biomathics and Section 6 -- the aspects of the Grand Challenge we face with this project. Section 7 contemplates the effort to formalize a General Theory of Living Systems (GTLS) from what we have today. The goal is to have a formal system, equivalent to that which exists in the physics community. Here we define how to perceive the role of time in biology. Section 8 describes the initial efforts to apply this general theory of living systems in many domains, with special emphasis on crossdisciplinary problems and multiple domains spanning both “hard” and “soft” sciences. The expected result is a coherent collection of integrated mathematical techniques. Section 9 discusses the first two test cases, project proposals, of our approach. They are designed to demonstrate the ability of our approach to address “wicked problems” which span across physics, chemistry, biology, societies and societal dynamics. The solutions require integrated measurable results at multiple levels known as “grand challenges” to existing methods. Finally, Section 10 adheres to an appeal for action, advocating the necessity for further long-term support of the INBIOSA program. -/- The report is concluded with preliminary non-exclusive list of challenging research themes to address, as well as required administrative actions. The efforts described in the ten sections of this White Paper will proceed concurrently. Collectively, they describe a program that can be managed and measured as it progresses. (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)

Proficiency in solving mathematical problems is essential for preservice elementary teachers, as they will teach foundational math concepts and foster problem-solving abilities among young learners. However, many studies found low problem-solving performance among preservice teachers. In line with this, the present study examined how problem-solving disposition relates to the performance of preservice elementary teachers, conducted at a selected higher education institution in Nueva Ecija, Philippines, with 134 participants. The study utilized a mathematical problem-solving disposition and beliefs scale questionnaire and a (...) problem-solving test scored using the identify, define, explore, act, and look (IDEAL) model. Results indicated an average problem-solving disposition and high problem-solving performance among preservice teachers. Linear regression analysis showed that overall problem-solving disposition is a predictor of performance. Further, stepwise regression analysis revealed that two disposition parameters, mathematical mindset (β = 2.413, p < 0.01) and community of practice (β = 1.866, p < 0.01), significantly predicted problem-solving performance. These findings show the significance of developing a problem-solving disposition, mindset, and learning communities to improve future teachers’ problem-solving ability by providing more learning opportunities, interdisciplinary problems, and social engagements. (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)

This review article provides a new perspective on the ethics of green nudging. We advance a new model for assessing the ethical permissibility of green nudges (GNs). On this model, which provides normative guidance for policymakers, a GN is ethically permissible when the intervention is (1) efficacious, (2) cost-effective, and (3) the advantages of the GN (i.e. reducing the environmental harm) are not outweighed by countervailing costs/harms (i.e. for nudgees). While traditional ethical objections to nudges (paternalism, etc.) remain potential normative (...) costs associated with GNs, any such costs must be weighed against the injunction to reduce environmental harm to third parties. (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)

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)

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)

Using the KenKen puzzle may improve students’ performance in operating integers. Quasi-experimental research was conducted to determine the effectiveness of this intervention on the performance and attitude of students in a collaborative learning environment. One hundred four purposively selected Grade 7 students in Nueva Ecija served as respondents and the experimentation lasted four days following the K to 12 Learners Manual. An increase in the student’s performance was found after utilizing the KenKen puzzle, where a significant difference between the posttest (...) and pretest was recorded after the four days of utilization of the puzzle. Besides, students’ attitude toward operating integers showed positivity as it is enjoyable, interesting, challenging, and developing creativity and critical thinking. Moreover, a strong relationship was found between the students’ performance and attitude in operating integers. This suggests that the KenKen puzzle helped improve the students’ performance and attitude in operating integers in a collaborative learning environment. (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 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 paper I argue that, although Kant argues that morality is independent of God (and hence, agrees with the Euthyphro), and rejects Divine Command Theory (or Theological Voluntarism), he believes that all moral duties are also the commands of God, who is a moral being, and who is morally required to punish those who transgress the moral law: "God’s justice is the precise allocation of punishments and rewards in accordance with men’s good or bad behavior." However, since we lack (...) a strict proof of God's existence, we can still fulfill our duties from the motive of duty. if we did know that God exists, then this would undermine our pure moral motivation to do our duty, since we would have an even stronger interest in pleasing God through our good conduct. The effect of undermining our pure moral motivation would be to make us less eligible for divine reward, since God rewards us for doing our duty from the motive of duty. (shrink)

This chapter both explains the origins of emotivism in C. K. Ogden and I. A. Richards, R. B. Braithwaite, Austin Duncan-Jones, A. J. Ayer and Charles Stevenson (along with the endorsement by Frank P. Ramsey, and the summary of C. D. Broad), and looks at MacIntyre's criticisms of emotivism as the inevitable result of Moore's attack on naturalistic ethics and his ushering in the fact/value, which was a historical product of the Enlightenment.

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.

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)

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 Ridley Scott's first feature film, The Duelists, which is an adaptation of a Joseph Conrad novella, contains his deepest meditation on honor in his entire career. The film may be said to answer the following question about honor: is being bound to do something by honor, when it is contrary to one's self-interest, a good thing, or a bad thing? It may be said to give the answer that it may be either good or (...) bad. It is bad that D'Hubert is bound by honor to duel with Feraud; it is good that, in the end, Feraud is bound by honor to cease dueling with D'Hubert. In this way, Kant was correct that "the inclination to honor" may light "upon that which is in fact in the common interest and in conformity with duty," or it may light upon what is contrary to duty. (shrink)

In this essay I argue that Machiavelli does not hold that all deception is permissible in war. While Machiavelli claims that "deceit... in the conduct of war is laudable and honorable," he insists that such deceit, or ruses of war, is not to be confounded with perfidy. Any Lee's U.S. Civil War film, "Ride With the Devil," illustrates this difference. The film also illustrates the difference between lying as part of romance, which is permitted, and lying at the moment of (...) truth in a relationship, when admitting one's feelings, which is not. (shrink)

In this article I reject the argument of Colin McGinn ("Must I Be Morally Perfect?", 1992) that ordinary morality requires that each of us be morally perfect. McGinn's definition of moral perfection –– according to which I am morally perfect if I never do anything that is supererogatory, but always do what is obligatory, and always avoid doing what is impermissible –– should be rejected, because it is open to the objection that I am morally perfect if I always do (...) what is optional but bad to do (what is suberogatory), in addition to always doing what is obligatory and always avoiding what is impermissible. Moral perfection may be defined as always doing what is obligatory, and always doing what is optional but good to do (supererogatory), and never doing what is impermissible, and never doing what is optional but bad to do [suberogatory]. Since ordinary morality does not require this, ordinary morality does not require moral perfection. (shrink)

Short survey of philosophical literature on the definition of lying and the ethics of lying.

Abstract: The concept of debt financing has assumed considerable importance in recent years given the fundamental role debts now play in forming the financial structure of corporate firms. Quite evident in the debt finance literature is the juxtaposition between debt financing and corporate performance which suggests that debt financing can influence corporate performance. Against the narrow measures of debt financing which are common with most studies that have been carried out on the debt finance-performance dynamics; we attempted a more robust (...) combination of debt finance choices in modelling for corporate performance. Based on data gleaned from the audited annual reports of fifteen (15) consumer goods firms listed in the Nigerian Stock Exchange (NSE) for the period 2006 to 2017, results of the panel regression technique revealed that total debt, long-term debt and short-term debt to asset ratios positively influence the performance of consumer goods firms in Nigeria. Based on the findings of the study, we recommend, among others, that there is need for the Nigerian firms to rely less on short-term debts, which forms the major part of their leverage, and focus more on developing internal strategies that can help improve their performance. (shrink)

Mindset plays a vital role in tackling the barriers to improving the preservice mathematics teachers’ (PMTs) conceptual understanding of problem-solving. As the COVID-19 pandemic has continued to pose a challenge, online learning has been adopted. This led this study to determining the PMTs’ mindset and level of conceptual understanding in problem-solving in an online learning environment utilising Google Classroom and the Khan Academy. A quantitative research design was employed specifically utilising a descriptive, comparative, and correlational design. Forty-five PMTs were chosen (...) through simple random sampling and willingly took part in this study. The data was gathered using validated and reliable questionnaires and problem-solving tests. The data gathered was analysed using descriptive statistics, analysis of variance, and simple linear regression. The results revealed that the college admission test, specifically numerical proficiency, influences a strong mindset and a higher level of conceptual understanding in problem-solving. Additionally, this study shows that mindset predicts the levels of conceptual understanding in problem-solving in an online environment where PMTs with a growth mindset have the potential to solve math problems. The use of Google Classroom and the Khan Academy to aid online instruction is useful in the preparation of PMTs as future mathematics teachers and problem-solvers. Further studies may be conducted to validate these reports and to address the limitations of this study. (shrink)

We are quickly passing through the historical moment when people work in front of a single computer, dominated by a small CRT and focused on tasks involving only local information. Networked computers are becoming ubiquitous and are playing increasingly significant roles in our lives and in the basic infrastructure of science, business, and social interaction. For human-computer interaction o advance in the new millennium we need to better understand the emerging dynamic of interaction in which the focus task is no (...) longer confined to the desktop but reaches into a complex networked world of information and computer-mediated interactions. We think the theory of distributed cognition has a special role to play in understanding interactions between people and technologies, for its focus has always been on whole environments: what we really do in them and how we coordinate our activity in them. Distributed cognition provides a radical reorientation of how to think about designing and supporting human-computer interaction. As a theory it is specifically tailored to understanding interactions among people and technologies. In this article we propose distributed cognition as a new foundation for human-computer interaction, sketch an integrated research framework, and use selections from our earlier work to suggest how this framework can provide new opportunities in the design of digital work materials. (shrink)

Extended Essay Review of the 26 chapters in the collection Global Epistemologies and Philosophies of Science, Routledge, 2021.

The study determined the influence of innate mathematical characteristics on the number sense competencies of junior high school students in a Philippine public school. The descriptive-correlational research design was used to accomplish the study involving a nonrandom sample of sixty 7th-grade students attending synchronous math sessions. Data obtained from the math-specific Learning Style and Self-Efficacy questionnaires and the modified Number Sense Test (NST) were analyzed and interpreted using descriptive statistics, Pearson’s Chi-Square, and Simple Linear Regression analysis. The research instruments and (...) statistics were all validated and tested for reliability. The analysis revealed that the students are visual learners, had no or slight self-efficacy, and their number sense competency level is poor. They encountered difficulty in all the components and domains of the NST. Moreover, the students’ mathematical self-efficacy is significantly related and may influence their number sense competency level. Building upon the learners’ self-efficacy to further their understanding and skills in number sense is necessary. (shrink)

Review of Gibbs' book in which he argues against the twin assumptions that language is inherently literal, and that thought itself is literal. Metaphors, etc., are omnipresent in language, Gibbs argues, and the mind is inherently 'poetic', i.e., it engages in figurative thinking. For example, we conceptualize anger as "ANGER IS HEATED FLUID IN A CONTAINER" (p. 7), and as a result, that is how we talk about anger ('Bill is getting hot under the collar,' 'She blew up at me', (...) etc.). (shrink)