CATEGORY: Philosophy play; historical fiction; comedy; social criticism. STORYLINE: Katherine, a slightly neurotic American lawyer, has tried very hard to find personal happiness in the form of friends and lovers. But she has not succeeded, and is therefore very unhappy. So she travels to London, hoping that Christianus — a well-known satisfactionist — may be able to help her. TOPICS: In the course of the play, Katherine and Christianus converse about many philosophical issues: the modern American military presence in (...) Iraq; the meaning of life; the ethics of abortion; assessing WHO death statistics; the potential personhood of foetuses; ancient Egyptian moustaches and beards; defining criteria for progress in human society; objectivity and subjectivity; Chicago futures trading developments; the virtues of cryonics technology; a U.S. Supreme Court case; important and unimportant knowledge; and spiritualist dualism vs. scientific materialism . NOTES: This work features elaborate footnotes and comments by the author, to enhance the reader's experience of the play and its philosophizing characters. (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. -/- .

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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 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)

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

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 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.

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

In order to strengthen RI in the private sector, it is imperative to understand how companies organise this process, where it takes place, and what considerations and motivations are central in the innovation process. In this chapter, the questions of whether and where normative considerations play a role in the innovation process, and whether dimensions of RI are present in the innovation process, are addressed. In order answer these research questions, a theoretical framework is developed based on Jones’s theory of (...) ethical decision making and Cooper’s stagegate model of innovation management. In order to answer the research questions, a specific case of innovations that contribute to public health is explored, namely, that of food companies that participate in a Front-of-Pack logo for healthier food. As the use of healthy food logos does not necessarily have a positive impact on sales and profits, it is expected that in the decision-making process, as part of their innovation process, companies make several trade-offs between economic, technical and moral factors. As the social-ethical values at stake in corporate innovation processes have remained to a large extent unexplored in research on innovation management, the aim of this chapter is to identify the motivations and barriers for companies embracing and continuing a FoP logo for healthier food, and to assess whether ethical considerations play a role in this innovation process. From the findings in this research, it will become clear that although the studied companies participated in a programme for healthy food and thus are responsive to the needs of society, and although the companies feel responsible for public health, ethical considerations do not play a central role in the operational innovation process. Instead, technical and economic considerations seem to prevail in the operational innovation process. Furthermore, none of the procedural dimensions of RI seems to be present at this level in the innovation trajectory. It is argued that this may be an indication that the ethical decision-making process for RI is not located at the level of the operational innovation process itself, but is something that might be located on a higher strategic level in the company. It is at this level that the moral decision is taken to adopt the FoP logo and to engage in the RI process. The findings cast a new light on the discourse on RI in general, and in the private sector in particular. (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)

In this review of Brooke Harrington's edited collection of essays on deception, written by people from different disciplines and giving us a good "status report" on what various disciplines have to say about deception and lying, I reject social psychologist Mark Frank's taxonomy of passive deception, active consensual deception, and active non-consensual deception (active consensual deception is not deception), as well as his definition of deception as "anything that misleads another for some gain" ("for gain" is a reason for engaging (...) in deception, not part of its definition). I also take issue with management professor Guido Mollering's claim that all deception involves a violation of trust. (shrink)

Elementary preservice teachers (EPTs) substantially impact the quality of mathematics education, and their subject preference and problem-solving performance are essential indicators of their readiness to teach. The study described EPTs’ subject preference and problem-solving performance. Through a sequential explanatory research design, the quantitative inquiry involved 125 random samples, while the qualitative inquiry was participated by 30 non-random samples. Data were obtained by using an online survey and conferencing. Quantitative data were analyzed through descriptive statistics and analysis of variance, whereas qualitative (...) data were themed accordingly. The EPTs displayed unsatisfactory problem-solving performance and preferred to handle subjects other than math. Besides, the analysis found no significant performance differences with the EPTs’ subject preferences. Further, the EPTs who preferred to teach mathematics expressed their confidence in mathematics. Meanwhile, the EPTs who preferred other subjects displayed math avoidance. The study revealed an alarming result indicating that the EPTs are unprepared for teaching. As agents in cultivating the nation’s mathematics education status, these EPTs must be equipped with fundamental content knowledge. It is suggested that educational decision-makers take measures to address the issues identified concerning EPTs’ readiness to teach mathematics successfully. (shrink)

Religious conversion gives rise to disagreement with one’s former self and with family and friends. Because religious conversion is personally and epistemically transformative, it is difficult to judge whether a former epistemic peer is still one’s epistemic peer post-conversion, just like it is hard for the convert to assess whether she is now in a better epistemic position than prior to her conversion. Through Augustine’s De Utilitate Credendi (The Usefulness of Belief) I show that reasoned argument should play a crucial (...) role in assessing the evidential value of religious conversions, both for the person who converts and for her (former) peers. (shrink)

Analyses of moral value judgements must meet a practicality requirement: moral speech acts characteristically express pro- or con-attitudes, indicate that speakers are motivated in certain ways, and exert influence on others' motivations. Nondescriptivists including Simon Blackburn and Allan Gibbard claim that no descriptivist analysis can satisfy this requirement. I argue first that while the practicality requirement is defeasible, it indeed demands a connection between value judgement and motivation that resembles a semantic or conceptual rather than merely contingent psychological link. I (...) then show how a form of descriptivism, the interest-relational theory, satisfies the requirement as a pragmatic and conversational feature of value judgement – thereby also accommodating its defeasibility. The word ``good'' is always indexed to some set of motivations: when this index is unarticulated in many contexts the speaker conversationally implicates possession of those motivations. (shrink)

Conversational exculpature is a pragmatic process whereby information is subtracted from, rather than added to, what the speaker literally says. This pragmatic content subtraction explains why we can say “Rob is six feet tall” without implying that Rob is between 5'0.99" and 6'0.01" tall, and why we can say “Ellen has a hat like the one Sherlock Holmes always wears” without implying Holmes exists or has a hat. This article presents a simple formalism for understanding this pragmatic mechanism, specifying how, (...) in context, the result of such subtractions is determined. And it shows how the resulting theory of conversational exculpature accounts for a varied range of linguistic phenomena. A distinctive feature of the approach is the crucial role played by the question under discussion in determining the result of a given exculpature. (shrink)

In everyday conversations we often convey information that goes above and beyond what we strictly speaking say: exaggeration and irony are obvious examples. H.P. Grice introduced the technical notion of a conversational implicature in systematizing the phenomenon of meaning one thing by saying something else. In introducing the notion, Grice drew a line between what is said, which he understood as being closely related to the conventional meaning of the words uttered, and what is conversationally implicated, which can be inferred (...) from the fact that an utterance has been made in context. Since Grice’s seminal work, conversational implicatures have become one of the major research areas in pragmatics. This article introduces the notion of a conversational implicature, discusses some of the key issues that lie at the heart of the recent debate, and explicates tests that allow us to reliably distinguish between semantic entailments and conventional implicatures on the one hand and conversational implicatures on the other. (shrink)

I outline and motivate a way of implementing a closest world theory of indicatives, appealing to Stalnaker's framework of open conversational possibilities. Stalnakerian conversational dynamics helps us resolve two outstanding puzzles for a such a theory of indicative conditionals. The first puzzle -- concerning so-called 'reverse Sobel sequences' -- can be resolved by conversation dynamics in a theoryneutral way: the explanation works as much for Lewisian counterfactuals as for the account of indicatives developed here. Resolving the second puzzle, by contrast, (...) relies on the interplay between the particular theory of indicative conditionals developed here and Stalnakerian dynamics. The upshot is an attractive resolution of the so-called "Gibbard phenomenon" for indicative conditionals. (shrink)

The problem considered in this chapter emerges from the tension we find when looking at the design and architecture of chatbots on the one hand and their conversational aptitude on the other. In the way that LLM chatbots are designed and built, we have good reason to suppose they don't possess second-order capacities such as intention, belief or knowledge. Yet theories of conversation make great use of second-order capacities of speakers and their audiences to explain how aspects of interaction succeed. (...) As we can all bear witness to now though, at the point of use chatbots appear capable of performing language tasks at a level close to that of humans. This creates a tension when we consider something like, for example, the classic Gricean theory of implicature. On a broad summary of this type of account, to utter p and implicate q requires the reflexive occurrence of an audience supposing a speaker believes that q, and the speaker believing that their audience can determine they believe it when they utter p. So taken at face value, if a chatbot doesn’t have the capacity for belief, then either in their role as speaker or audience, they would not seem capable of either generating or comprehending implicatures. Yet on the surface it does seem that chatbots are capable of dealing with (some) implicatures, and as such it raises questions about how we should then correlate this with what we think occurs in cases of implicature with chatbots. (shrink)

The aim of this paper is to offer a version of the so-called conversational hypothesis of the ontogenetic connection between language and mindreading (Harris 1996, 2005; Van Cleave and Gauker 2010; Hughes et al. 2006). After arguing against a particular way of understanding the hypothesis (the communicative view), I will start from the justificatory view in philosophy of social cognition (Andrews 2012; Hutto 2004; Zawidzki 2013) to make the case for the idea that the primary function of belief and desire (...) attributions is to justify and normalize deviant patterns of behaviour. Following this framework, I elaborate upon the idea that development of folk psychological skills requires the subjects to engage in conversationally mediated joint and cooperative activities in order to acquire the conceptual capacity of ascribing propositional attitudes. After presenting the general version of the hypothesis, I present several testable sub-hypotheses and some psychological studies that give empirical plausibility to the hypothesis. (shrink)

Large-scale language technologies are increasingly used in various forms of communication with humans across different contexts. One particular use case for these technologies is conversational agents, which output natural language text in response to prompts and queries. This mode of engagement raises a number of social and ethical questions. For example, what does it mean to align conversational agents with human norms or values? Which norms or values should they be aligned with? And how can this be accomplished? In this (...) paper, we propose a number of steps that help answer these questions. We start by developing a philosophical analysis of the building blocks of linguistic communication between conversational agents and human interlocutors. We then use this analysis to identify and formulate ideal norms of conversation that can govern successful linguistic communication between humans and conversational agents. Furthermore, we explore how these norms can be used to align conversational agents with human values across a range of different discursive domains. We conclude by discussing the practical implications of our proposal for the design of conversational agents that are aligned with these norms and values. (shrink)

McGowan argues that everyday verbal bigotry makes a key contribution to the harms of discriminatory inequality, via a mechanism that she calls sneaky norm enactment. Part of her account involves showing that the characteristic of conversational interaction that facilitates sneaky norm enactment is in fact a generic one, which obtains in a wide range of activities, namely, the property of having conventions of appropriateness. I argue that her account will be better-able to show that everyday verbal bigotry is a key (...) factor in social inequality if it tries to isolate a more specific property of conversation as the thing that facilitates sneaky norm enactment. (shrink)

This self-contained lecture examines uses and misuses of the adverb conversely with special attention to logic and logic-related fields. Sometimes adding conversely after a conjunction such as and signals redundantly that a converse of what preceded will follow. -/- (1) Tarski read Church and, conversely, Church read Tarski. -/- In such cases, conversely serves as an extrapropositional constituent of the sentence in which it occurs: deleting conversely doesn’t change the proposition expressed. Nevertheless it does introduce new implicatures: a speaker (...) would implicate belief that the second sentence expresses a converse of what the first expresses. Perhaps because such usage is familiar, the word conversely can be used as “sentential pronoun”—or prosentence—representing a sentence expressing a converse of what the preceding sentence expresses. -/- (2) Tarski read Church and conversely. -/- This would be understood as expressing the proposition expressed by (1). Prosentential usage introduces ambiguity when the initial proposition has more than one converse. Confusion can occur if the initial proposition has non-equivalent converses. -/- Every proposition that is the negation of a false proposition is true and conversely. -/- One sense implies that every proposition that is the negation of a true proposition is false, which is true of course. But another sense, probably more likely, implies that every proposition that is true is the negation of a false proposition, which is false: the proposition that one precedes two is not a negation and thus is not the negation of a false proposition. The above also applies to synonyms of conversely such as vice versa. Although prosentence has no synonym, extrapropositional constituents are sometimes called redundant rhetoric, filler, or expletive. Authors discussed include Aristotle, Boole, De Morgan, Peirce, Frege, Russell, Tarski, and Church. END OF PUBLISHED ABSTRACT -/- See also: Corcoran, John. 2015. Converses, inner and outer. 2015. Cambridge Dictionary of Philosophy, third edition, Robert Audi (editor). Cambridge: Cambridge UP. https://www.academia.edu/10396347/Corcoran_s_27_entries_in_the_1999_second_edition_Audi_s_Cambridge_ Dictionary_of_Philosophy . (shrink)

In this paper, I present a challenge for Michael McKenna’s conversational theory of moral responsibility. On his view, to be a responsible agent is to be able to engage in a type of moral conversation. I argue that individuals with autism spectrum disorder present a considerable problem for the conversational theory because empirical evidence on the disorder seems to suggest that there are individuals in the world who meet all of the conditions for responsible agency that the theory lays out (...) but who are nevertheless not responsible agents. Attending to the moral psychology of such individuals will, I think, help shed light on an important gap in the conversational theory. (shrink)