The investigation into logical form and structure of natural sciences and mathematics covers a significant part of contemporary philosophy. In contrast to this, the metatheory of normative theories is a slowly developing research area in spite of its great predecessors, such as Aristotle, who discovered the sui generis character of practical logic, or Hume, who posed the “is-ought” problem. The intrinsic reason for this situation lies in the complex nature of practical logic. The metatheory of normative educational philosophy (...) and theory inherits all the difficulties inherent in the general metatheory but has also significantly contributed to its advancement. In particular, the discussion on its mixed normative-descriptive character and complex composition has remained an important part of research in educational philosophy and theory. The two points seem to be indisputable. First, the content of educational philosophy and theory is a complex one, connecting different disciplines. Second, these disciplines are integrated within the logical form of practical inference or means-end reasoning. On the other hand, the character of consequence relation in this field, although generally recognized as specific, represents an unresolved prob- lem, a solution of which requires a sophisticated logical theory and promises to influence the self- understanding of educational philosophy and theory. (shrink)

Plagiarism, which Indiana University’s Writing Tutorial Service defines as "using others' ideas and words without clearly acknowledging the source of that information", is often described as a major problem. However, standard definitions such as this one suggest only limited solutions to the problem: acknowledging sources or forbidding reuse. Since all scholarship involves engaging with the ideas of others and academic writing tends to reuse certain expressions, these solutions – though important – are of limited utility. This paper examines a type (...) of plagiarism to which the standard solutions do not apply: the reuse of linguistic models without sufficient attention to the logic or thoughts the texts express. We present two cases of plagiarism, from which we can see that plagiarism shows a gap between the written texts and the thoughts of the author. In order to fill the gap, one needs to know how to integrate not only the texts borrowed from others into one’s writing but also the thoughts expressed by the texts. Thus a satisfactory solution to the plagiarism problem requires not only writing skills but also logical thinking skills. (shrink)

This paper addresses the relationship between logic and phenomenology at a historical moment that precedes the big divide between analytic philosophy and phenomenology. In analysing alternative derivations of phenomenological logic, the discussion focuses on the case of two notorious neo-Kantian Mexican philosophers from the first half of the XXth century: Adalberto García de Mendoza and Francisco Larroyo. It is argued that both García de Mendoza and Larroyo made an original contribution to the discussion on the relationship between phenomenology (...) and logic. Further, this paper attempts to present a charitable portrait of both García de Mendoza and Larroyo in contrast to underrating approaches to both Mexican philosophers. In so doing, this paper adopts a historical—thought not strictly biographical— perspective. While it is true that neither García de Mendoza nor Larroyo could be considered “phenomenologists” or “Husserl scholars” according to contemporary standards it is worth noticing that they engage in the discussion of phenomenological logic. Both authors had the project of developing a grounding logic for science and, as the article argues, both attempts could be even linked. Their project, however, was unfinished. The plan of this paper is as follows. The first section addresses the problem of the relationship between logic and phenomenology. The second one focuses on García de Mendoza’s contributions. The third one elaborates on Larroyo’s Logic of Sciences. And, finally, the fourth section elaborates on these Mexican philosophers’ contributions to education, making as well further observations concerning the similarities and differences between both authors. (shrink)

Virtue epistemology is among the dominant influences in mainstream epistemology today. An important commitment of one strand of virtue epistemology – responsibilist virtue epistemology (e.g., Montmarquet 1993; Zagzebski 1996; Battaly 2006; Baehr 2011) – is that it must provide regulative normative guidance for good thinking. Recently, a number of virtue epistemologists (most notably Baehr, 2013) have held that virtue epistemology not only can provide regulative normative guidance, but moreover that we should reconceive the primary epistemic aim of all education (...) as the inculcation of the intellectual virtues. Baehr’s picture contrasts with another well-known position – that the primary aim of education is the promotion of critical thinking (Scheffler 1989; Siegel 1988; 1997; 2017). In this paper – that we hold makes a contribution to both philosophy of education and epistemology and, a fortiori, epistemology of education – we challenge this picture. We outline three criteria that any putative aim of education must meet and hold that it is the aim of critical thinking, rather than the aim of instilling intellectual virtue, that best meets these criteria. On this basis, we propose a new challenge for intellectual virtue epistemology, next to the well-known empirically-driven ‘situationist challenge’. What we call the ‘pedagogical challenge’ maintains that the intellectual virtues approach does not have available a suitably effective pedagogy to qualify the acquisition of intellectual virtue as the primary aim of education. This is because the pedagogic model of the intellectual virtues approach (borrowed largely from exemplarist thinking) is not properly action-guiding. Instead, we hold that, without much further development in virtue-based theory, logic and critical thinking must still play the primary role in the epistemology of education. (shrink)

This original research hypothesises that the most fundamental building blocks of logical descriptions of cognitive, or knowledge, agents’ descriptions are expressible based on their conceptions (of the world). This article conceptually and logically analyses agents’ conceptions in order to offer a constructivist- based logical model for terminological knowledge. The most significant characteristic of [terminological] knowing is that there are strong interrelationships between terminological knowledge and the individualistic constructed, and to-be-constructed, models of knowledge. Correspondingly, I conceptually and logically analyse conception expressions (...) based on terminological knowledge, and I show how terminological knowledge may reasonably be assumed to be constructed based on the agents’ conceptions of the world. The focus of my model is on terminological knowledge structures, which may find applications in such diverse fields as the Semantic Web and educational/learning systems. (shrink)

This paper considers George A. Reisch’s account of the role of Cold War political forces in shaping the apolitical stance that came to dominate philosophy of science in the late 1940s and 1950s. It argues that at least as early as the 1930s, Logical Empiricists such as Rudolf Carnap already held that philosophy of science could not properly have political aims, and further suggests that political forces alone cannot explain this view’s rise to dominance during the Cold War, since political (...) forces cannot explain why a philosophy of science with liberal democratic, anti-communist aims did not flourish. The paper then argues that if professionalization is understood in the right way, it might point toward an explanation of the apolitical stance of Cold War philosophy of science. (shrink)

The aim of this study is to discuss in what sense one can speak about universal character of logic. The authors argue that the role of logic stands mainly in the generality of its language and its unrestricted applications to any field of knowledge and normal human life. The authors try to precise that universality of logic tends in: (a) general character of inference rules and the possibility of using those rules as a tool of justification of (...) theorems of every science, (b) principles of correct formulating of thoughts and using language, and (c) general deductive method of reasoning, i.e in the study of language syntax and semantics. The authors present two theories of language syntax and semantics as exemplifications based on the Tarski’s famous results in metalogic: (1) a formalization of universal syntax system by Andrzej Grzegorczyk based on a new primitive notion of quotation-marks operator, and (2) an enlarged system of axiomatic theory of syntax of any categorial language of Urszula Wybraniec-Skardowska’s in which the main role plays the relation of concatenation understood as a set-theoretical function. The study concludes in arguing that the importance of the result (2) lies not only in solving some philosophical problems but also in different fields of knowledge and spheres of human life as ex. in discussion and education as well. (shrink)

Symbolic logic faced great difficulties in its early stage of development in order to acquire recognition of its utility for the needs of science and society. The aim of this paper is to discuss an early attempt by the British logician Lewis Carroll (1832–1898) to promote symbolic logic as a social good. This examination is achieved in three phases: first, Carroll’s belief in the social utility of logic, broadly understood, is demonstrated by his numerous interventions to fight (...) fallacious reasoning in public debates. Then, Carroll’s attempts to promote symbolic logic, specifically, are revealed through his work on a treatise that would make the subject accessible to a wide and young audience. Finally, it is argued that Carroll’s ideal of logic as a common good influenced the logical methods he invented and allowed him to tackle more efficiently some problems that resisted to early symbolic logicians. (shrink)

The articles included in this issue represent some of the most recent thinking in the area of critical thinking in higher education. While the emphasis is on work being done in the Australasian region, there are also papers from the USA and UK that demonstrate the international interest in advancing research in the area. -/- ‘Critical thinking’ in the guise of the study of logic and rhetoric has, of course, been around since the days of the ancient Greeks (...) and the early beginnings of universities. In a narrower sense, critical thinking has been central to higher education as a desirable attribute of graduates since at least the beginning of the twentieth century. The work of John Dewey, and others, emphasised the importance of ‘good habits of thinking’ as early as 1916. In 1945, the Harvard Committee placed emphasis on the importance of ‘thinking effectively’ as one of three desirable educational abilities in their General education in a free society. This was later endorsed in 1961 by the US-based Educational Policies Commission: ‘The purpose which runs through and strengthens all other educational purposes … is the development of the ability to think’ (Kennedy, Fisher, & Ennis, 1991, pp. 11–12). -/- In recent times, universities have made a point of emphasising the importance of critical thinking as a ‘generic skill’ that is central to most, if not all, subjects. There is not a university today (in Australia at least) that does not proudly proclaim that their graduates will – as a result of a degree program in their institution – learn to think critically. Further, there is rarely a subject taught that does not offer the opportunity to acquire skills in critical thinking. However, where is the evidence that we teach critical thinking in higher education? Disturbingly, despite our best intentions, it appears we may be teaching very little of it. (shrink)

In a world filled with information overload and complex problems, the ability to think logically is a superpower. "A Little More Logical" is your guide to mastering this essential skill. This engaging and accessible open educational resource is perfect for students, teachers, and lifelong learners who want to improve their critical thinking abilities and make better decisions in all aspects of life. -/- Through a series of fun and interactive chapters, "A Little More Logical" covers a wide range of topics, (...) from the basics of constructing sound arguments to the application of logic in fields like ethics, science, and computing. You'll learn how to spot and avoid common fallacies, analyze real-world arguments, and use logical reasoning to solve problems and make informed choices. -/- But this book isn't just about abstract concepts – it's about the human story behind logic. You'll discover the fascinating lives and ideas of diverse thinkers, from ancient philosophers to modern-day pioneers, who have shaped the development of logical reasoning throughout history. With thought-provoking examples, engaging exercises, and plenty of humor along the way, "A Little More Logical" makes the study of logic both rigorous and entertaining. -/- Whether you're a student looking to ace your philosophy class, a teacher searching for high-quality educational resources, or a curious reader who wants to sharpen your mind, "A Little More Logical" is the perfect companion on your journey to becoming a more effective thinker. Unlock the power of logical thinking today with this one-of-a-kind open educational resource! (shrink)

This is the book of abstracts of the 19th Brazilian Logic Conferences. The Brazilian Logic Conferences (EBL) is one of the most traditional logic conferences in South America. Organized by the Brazilian Logic Society (SBL), its main goal is to promote the dissemination of research in logic in a broad sense. It has been occurring since 1979, congregating logicians of different fields — mostly philosophy, mathematics and computer science — and with different backgrounds — from (...) undergraduate students to senior researchers. The meeting is an important moment for the Brazilian and South American logical community to join together and discuss recent developments of the field. The areas of logic covered in the conference spread over foundations and philosophy of science, analytic philosophy, philosophy and history of logic, mathematics, computer science, informatics, linguistics and artificial intelligence. Previous editions of the EBL have been a great success, attracting researchers from all over Latin America and elsewhere. -/- The 19th edition of EBL takes place from May 6-10, 2019, in the beautiful city of João Pessoa, at the northeast coast of Brazil. It is conjointly organized by Federal University of Paraíba (UFPB), whose main campus is located in João Pessoa, Federal University of Campina Grande (UFCG), whose main campus is located in the nearby city of Campina Grande (the second-largest city in Paraíba state) and SBL. It is sponsored by UFPB, UFCG, the Brazilian Council for Scientific and Technological Development (CNPq) and the State Ministry of Education, Science and Technology of Paraíba. It takes place at Hotel Luxxor Nord Tambaú, privileged located right in front Tambaú beach, one of João Pessoa’s most famous beaches. (shrink)

Whitehead formulated his metaphysics of becoming (organism) in contrast to the materialistic outlook of nature. According to Whitehead, the philosophy of Locke influenced the formation of a static notion of reality. For Locke, one primary substance cannot be a component in constituting the nature of another primary being. Aristotle’s logic that emphasized metaphysics alone resulted in the bifurcation of nature. Scientific materialism concerns a scientific cosmological vision of the universe. What is fundamental in the cosmos is matter, mere brute. (...) Matter – senseless, valueless, and purposeless and the course of nature follow a fixed routine, so it is mechanical. My attempt in this paper is to discuss some of the Whiteheadian ideas that he discusses as part of his theory on becoming in relation to the concepts of freedom and discipline which he presents in his work The Aims of Education and Other Essays. For Whitehead, education is to live, to live better, and live well. (shrink)

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

The use of evidence to resolve uncertainties is key to many endeavours, most conspicuously science and law. Despite this, the logic of uncertainty is seldom taught explicitly, and often seems misunderstood. Traditional educational practice even fails to encourage students to identify uncertainty when they express knowledge, though mark schemes that reward the identification of reliable and uncertain responses have long been shown to encourage more insightful understanding. In our information-rich society the ability to identify uncertainty is often more important (...) than the possession of knowledge itself. In both science and law there are fundamentally different kinds of uncertainty at issue. There is uncertainty whether a particular hypothesis is correct, and there is uncertainty about observable data that may be generated if a particular hypothesis is correct. Both are expressed in terms of probabilities. Each has its own domain of application and its own logic, but the inter-relationship is complex and sometimes misunderstood. Hypothesis probabilities are always open to error through possible failure to take account of realistic alternatives, while the proper inferences that can be drawn from data probabilities (often in the context of significance testing) are quite limited and easily over-interpreted. When considering these two kinds of probability in a court of law it is possible to interpret the phrase 'reasonable doubt' in different ways. It can be seen as addressing data uncertainty: whether such incriminating evidence might with reasonable probability arise to confront an innocent person. Or (the more conventional view) it can be seen as some sort of threshold level on the probability that the defendant is guilty (a hypothesis probability). Each typically involves elements of subjective judgement, but fewer issues and uncertainties arise when considering the data probability and it is argued that this is often the more critical and proper issue for a jury to address. This has particular repercussions for cases involving identification of a suspect through trawl of a DNA or other database. (shrink)

This study focuses on undergraduate students' ability to unpack informally written mathematical statements into the language of predicate calculus. Data were collected between 1989 and 1993 from 61students in six small sections of a “bridge" course designed to introduce proofs and mathematical reasoning. We discuss this data from a perspective that extends the notion of concept image to that of statement image and introduces the notion of proof framework to indicate the top-level logical structure of a proof. For simplified informal (...) calculus statements, just 8.5% of unpacking attempts were successful; for actual statements from calculus texts, this dropped to 5%. We infer that these students would be unable to reliably relate informally stated theorems with the top-level logical structure of their proofs and hence could not be expected to construct proofs or evaluate their validity. (shrink)

This collection of articles was written over the last 10 years and the most important and longest within the last year. Also I have edited them to bring them up to date (2016). The copyright page has the date of this first edition and new editions will be noted there as I edit old articles or add new ones. All the articles are about human behavior (as are all articles by anyone about anything), and so about the limitations of having (...) a recent monkey ancestry (8 million years or much less depending on viewpoint) and manifest words and deeds within the framework of our innate psychology as presented in the table of intentionality. As famous evolutionist Richard Leakey says, it is critical to keep in mind not that we evolved from apes, but that in every important way, we are apes. If everyone was given a real understanding of this (i.e., human ecology and psychology) in school, maybe civilization would have a chance. -/- In my view these articles and reviews have many novel and highly useful elements, in that they use my own version of the recently (ca. 1980’s) developed dual systems view of our brain and behavior to lay out a logical system of rationality (personality, psychology, mind, language, behavior, thought, reasoning, reality etc.) that is sorely lacking in the behavioral sciences (psychology, philosophy, literature, politics, anthropology, history, economics, sociology etc.). The philosophy centers around the two writers I have found the most important, Ludwig Wittgenstein and John Searle, whose ideas I combine and extend within the dual system (two systems of thought) framework that has proven so useful in recent thinking and reasoning research. As I note, there is in my view essentially complete overlap between philosophy, in the strict sense of the enduring questions that concern the academic discipline, and the descriptive psychology of higher order thought (behavior). Once one has grasped Wittgenstein’s insight that there is only the issue of how the language game is to be played, one determines the Conditions of Satisfaction (what makes a statement true or satisfied etc.) and that is the end of the discussion. -/- Now that I think I understand how the games work I have mostly lost interest in philosophy, which of course is how Wittgenstein said it should be. But since they are the result of our innate psychology, or as Wittgenstein put, it due to the lack of perspicuity of language, the problems run throughout all human discourse, so there is endless need for philosophical analysis, not only in the ‘human sciences’ of philosophy, sociology, anthropology, political science, psychology, history, literature, religion, etc., but in the ‘hard sciences’ of physics, mathematics, and biology. It is universal to mix the language game questions with the real scientific ones as to what the empirical facts are. Scientism is ever present and the master has laid it before us long ago, i.e., Wittgenstein (hereafter W) beginning principally with the Blue and Brown Books in the early 1930’s. -/- "Philosophers constantly see the method of science before their eyes and are irresistibly tempted to ask and answer questions in the way science does. This tendency is the real source of metaphysics and leads the philosopher into complete darkness." (BBB p18) -/- Nevertheless, a real understanding of Wittgenstein’s work, and hence of how our psychology functions, is only beginning to spread in the second decade of the 21st century, due especially to P.M.S. Hacker (hereafter H) and Daniele Moyal-Sharrock (hereafter DMS),but also to many others, some of the more prominent of whom I mention in the articles. -/- When I read ‘On Certainty’ a few years ago I characterized it in an Amazon review as the Foundation Stone of Philosophy and Psychology and the most basic document for understanding behavior, and about the same time DMS was writing articles noting that it had solved the millennia old epistemological problem of how we can know anything for certain. I realized that W was the first one to grasp what is now characterized as the two systems or dual systems of thought, and I generated a dual systems (S1 and S2) terminology which I found to be very powerful in describing behavior. I took the small table that John Searle (hereafter S) had been using, expanded it greatly, and found later that it integrated perfectly with the framework being used by various current workers in thinking and reasoning research. -/- Since they were published individually, I have tried to make the book reviews and articles stand by themselves, insofar as possible, and this accounts for the repetition of various sections, notably the table and its explanation. I start with a short article that presents the table of intentionality and briefly describes its terminology and background. Next, is by far the longest article, which attempts a survey of the work of W and S as it relates to the table and so to an understanding or description (not explanation as W insisted) of behavior. -/- The key to everything about us is biology, and it is obliviousness to it that leads millions of smart educated people like Obama, Chomsky, Clinton and the Pope to espouse suicidal utopian ideals that inexorably lead straight to Hell On Earth. As W noted, it is what is always before our eyes that is the hardest to see. We live in the world of conscious deliberative linguistic System 2, but it is unconscious, automatic reflexive System 1 that rules. This is Searle’s The Phenomenological Illusion (TPI), Pinker’s Blank Slate and Tooby and Cosmides Standard Social Science Model. Democracy and equality are wonderful ideals, but without strict controls, selfishness and stupidity gain the upper hand and soon destroy any nation and any world that adopts them. The monkey mind steeply discounts the future, and so we sell our children’s heritage for temporary comforts. -/- The astute may wonder why we cannot see System 1 at work, but it is clearly counterproductive for an animal to be thinking about or second guessing every action, and in any case there is no time for the slow, massively integrated System 2 to be involved in the constant stream of split second ‘decisions’ we must make. As W noted, our ‘thoughts’ (T1 or the thoughts of System 1) must lead directly to actions. It is my contention that the table of intentionality (rationality, mind, thought, language, personality etc.) that features prominently here describes more or less accurately, or at least serves an heuristic for how we think and behave, and so it encompasses not merely philosophy and psychology but everything else (history, literature, mathematics, politics etc.). Note especially that intentionality and rationality as I (along with Searle, Wittgenstein and others) view it,includes both conscious deliberative System 2 and unconscious automated System 1 actions or reflexes. -/- Thus all the articles, like all behavior, are intimately connected if one knows how to look at them. As I note, The Phenomenological Illusion (oblivion to our automated System 1) is universal and extends not merely throughout philosophy but throughout life. I am sure that Chomsky, Obama, Zuckerberg and the Pope would be incredulous if told that they suffer from the same problem as Hegel, Husserl and Heidegger, but it’s clearly true. While the phenomenologists only wasted a lot of people’s time, they are wasting the earth. -/- My writings are available in updated versions as paperbacks and Kindles on Amazon. -/- Talking Monkeys: Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet - Articles and Reviews 2006-2017 (2017) ASIN B071HVC7YP. -/- The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle--Articles and Reviews 2006-2016 (2017) ASIN B071P1RP1B. -/- Suicidal Utopian Delusions in the 21st century: Philosophy, Human Nature and the Collapse of Civilization - Articles and Reviews 2006-2017 (2017) 2nd printing with corrections (Feb 2018) ASIN B0711R5LGX -/- Suicide by Democracy: an Obituary for America and the World (2018) ASIN B07CQVWV9C . (shrink)

Ayurveda is considered one of the ancient systems of knowledge in India. Various compendiums of Ayurveda i.e., Charaka, Sushruta, or Vagbhatta have enumerated an education system based on Gurukuls i.e., An Educator and their pupils. It is evident from them that a very systematized and organized form of medical education starting from selection to induction and then to effective teaching and training were given during that ancient era. The triad of education viz. Adhyayan (studying), Adhyapan (teaching) and (...) Sambhasha (an argument based on logic) is key to knowledge and the learning process as per Charaka. The selection of students and teachers was based on some set of fixed criteria necessary to be fulfilled. Induction was done prior to admission and proper disciplinary, and ethical rules were practiced. For the development of knowledge and skills in branches of Ayurveda, problems-based case discussion, identification, causes, and treatment of diseases, their principles were taught. Yogya (a set of dummy objects) was used to practice prior to the final surgery. (shrink)

In 1672 John Eliot, English Puritan educator and missionary to New England, published _The Logick Primer: Some Logical Notions to initiate the INDIANS in the knowledge of the Rule of Reason; and to know how to make use thereof_. This roughly 80 page pamphlet introduces syllogistic vocabulary and reasoning so that syllogisms can be created from Biblical texts. The use of logic for proselytizing purposes is not distinctive: What is distinctive about Eliot's book is that it is bilingual, written (...) in both English and Massachusett (Wôpanâak), an Algonquian language spoken in eastern coastal and southeastern Massachusetts. It is one of the earliest bilingual logic textbooks and it is the first, and perhaps only, textbook in an indigenous American language. -/- In this paper, we (1) introduce John Eliot and the linguistic context he was working in; (2) introduce the contents of the _Logick Primer_---vocabulary, inference patterns, and applications; (3) discuss notions of 'Puritan' logic that inform this primer; and (4) address the importance of his work in documenting and expanding the Massachusett language and the problems that accompany his colonial approach to this work. (shrink)

The purpose of this article is to present an evidence-supported curriculum covering the fundamentals of logic, reasoning, and argumentation skills to address the emphasized basic knowledge, skills, and abilities required to be scientifically literate, which will prepare the public to understand and engage with science meaningfully. An analytic-synthetic approach toward understanding the notion of public is taken using a theoretical biomimetics framework that identifies naturally occurring objects or phenomena that descriptively captures the essence of a construct to facilitate creative (...) problem-solving. In the present case, the problem being solved is how to reconcile what is meant by public, how it ought to be interpreted, determining the diverse levels of confidence in science that exist, and various understandings of science all with one another. The results demonstrate there is an inherent denotative-connotative inconsistency in the traditional notion of public that can be explicated through the concept of a fractal allowing for comprehension of the relationship between public confidence in, and understanding of, science. (shrink)

In the centennial year of John Dewey’s classic, Democracy and Education (1916), this paper revisits his thesis of the reciprocity of means and ends, arguing that it remains of central importance for debate over the aims of education. The paper provides a Dewey-inspired rebuttal of arguments for an ‘ultimate aim,’ but balances this with a development of the strong overlaps between proponents of pragmatism, intellectual virtues education (Jason Baehr) and critical thinking education (Harvey Siegel). Siegel’s ‘Kantian’ (...) justification of critical thinking as an ultimate aim is critiqued, and contrary to Siegel’s ‘generalist’ focus on logic, the paper concludes with specific suggestions for how the study of ecological rationality and dual-process theories (Gerd Gigerenzer; Keith Stanovich and others) should impact how we teach for critical thinking dispositions. -/- Presentation paper for ‘The Epistemic Aims of Education’ Workshop, Eidyn Research Center & University of Edinburgh, 2016. Special thanks to as IASH Center for sabbatical Fellowship support. (shrink)

The present article arises from the reflection on the failure of external educational models applied in emerging contexts without considering contextual factors of each town. According to Carnoy (1974) there is a strong tradition between underdeveloped countries of coping the cultural forms and successful models from first world societies, without having prepared beforehand the objective and subjective conditions that would determine its success or failure. The aim of this paper is to analyze the philosophical basis of success behind the Finnish (...) educational system, with the purpose of identify in it, references to overcome problems of educational reality in emerging societies. In this way contribute to the discussion about the failure on adapting external educational models to emerging contexts. It is an exploratory, descriptive and comparative review, and the character of it is bibliographic and qualitative; in addition, it will make use of logical-scientific methods (deductive-inductive) with their respective procedures, supported by phenomenological and hermeneutical philosophical methods. The results of the copy and implementation of changes in education based on successful models from other latitudes, without considering the philosophical and epistemological substratum that sustains it, or preparing the ground for its adaptation, has resulted in poor educational systems that do not respond to the concrete needs of the educational reality of emerging societies, and limit and frustrate the autonomous and original creation of contextualized and relevant educational models too. (shrink)

Using Richard Rorty’s concept of contingency, this paper aims to show that standardized education is problematic; it cannot truly ensure or even accurately measure quality in education. Why Richard Rorty? Why his ideas? Rorty (1931-2007) was an American contemporary philosopher who was heavily influenced by pragmatism – a philosophical approach that is more concerned about the practical consequences of ideas rather than their theoretical elaboration. What I find interesting in Rorty is the fact that his pragmatism – or (...) neo-pragmatism to be precise – holds the key to his philosophy of education. Rorty’s educational philosophy, built upon Dewey’s pragmatic philosophy of education, presents a postmodern vision of education, meaning to say, it does not readily accept and even challenges the status quo; as such, it questions the finality of established standards. Thus, on account of the characteristics that are peculiar to Rorty’s philosophy of education, he has become my logical choice: that is, I hope to attain the aim of this paper by using his neo-pragmatic and postmodern approach to education. Specifically, I will examine the problem of standardized education in the light of Rorty’s concept of contingency. To reach this end, I will first present his concept of contingency. I will next go into his philosophy of education. Then, I will give a general overview of standardized education. Finally, I will expose where the problem of standardized education lies with the aid of Rorty’s concept of contingency and, needless to say, offer Rortyan recommendations, if not outright solutions, to this problem. (shrink)

The philosophy is an important factor of education policy like the religion, heritage, culture and customs of the society .It concerns on the mind and its implication in our daily life. Philosophy focus on Logic, Science, Epistemology, Ethics and Esthetics which are important branches of human thoughts. During the human history, philosophy organizes education and the societies revert to philosophy to regulate education policy. In ancient time, Plato and Aristotle’s educational policy was established for Athens. For (...) the Medieval, Al-Kindi, Al-Farabi, Al-Razi, Ibn Sina, Ibn Tufail, and Ibn Rushd contributed to setting education policy in Arab culture. John Locke, Jean-Jacques Rousseau, Karl Marx and John Dewey elaborated philosophical theories of education. Philosophy contributes to: suggesting education goals, provide the learning outcome, classification of topics and learning activities in educational institutions , and proposes an educational curriculum. In this research, I will address these factors focusing on the fact that our present civilized societies need a philosophical dimension in organizing education policy. I will rely on philosophical theories, as well as contemporary studies that have been written on education policy in developed countries. (shrink)

There are empirical grounds to doubt the effectiveness of a common and intuitive approach to teaching debiasing strategies in critical thinking courses. We summarize some of the grounds before suggesting a broader taxonomy of debiasing strategies. This four-level taxonomy enables a useful diagnosis of biasing factors and situations, and illuminates more strategies for more effective bias mitigation located in the shaping of situational factors and reasoning infrastructure—sometimes called “nudges” in the literature. The question, we contend, then becomes how best to (...) teach the construction and use of such infrastructures. (shrink)

Discursive liberal democracy might not be the best of all possible forms of government, yet in Europe it is largely accepted as such. The attractors of liberal democracy (majority rule, political equality, reasonable self-determination and an ideological framework built in a tentative manner) as well as an adequate dose of secularization (according to the doctrine of religious restraint) provide both secularist and educated religious people with the most convenient ideological framework. Unfortunately, many promoters of ideological secularization take too strong a (...) stance against the manifestation of religiosity in the public sphere. They claim that people may discuss, debate or adopt (coercive) laws and regularities only by means of secular public reasons and secular motivation. We argue that these secular restraints on the ideological framework are unfairly biased against religion, counterproductive and unreasonable. The exaggerated secular restrictions create a strict secular public sphere that appears to be a Pickwickian world suitable just for inoffensive, dull and lethargic people. Deliberately separated from the idea of truth, secular public reasons cannot sustain a complex adaptive system like discursive liberal democracy. Liberal democracy needs citizens with a strong sense of truth and with a sufficient will-power to follow both a personal ideal and a collective ideal. Religious beliefs provide people with just such a sense of truth and with the desire to have a certain kind of character. In the secularized public sphere of liberal democracy, people can manifest just educated religious beliefs that correspond to the real world and respect the principle of peaceable conduct. In the final part of the article we support the assertion that believers could and should educate their religious belief before expressing them in the public sphere. Educated religious beliefs have a wide enough propositional content, obey the moral imperative of William Clifford, are purged from all propositional components against which there is strong evidence and are consciously cultivated by the mechanism of suggestion. (shrink)

There are different narratives on mathematics as part of our world, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’, ‘Mathematics is beautiful’, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important normative considerations. Our strategy (...) is to frame current narratives of mathematics from a virtue-theoretic perspective. We identify the practice of mathematizing, put forward by Freudenthal’s ‘Realistic mathematics education’, as virtuous and use it to evaluate different narratives. We show that this can help to render the narratives more adequately, and to provide implications for societal organization. (shrink)

There is a fundamental incompatibility between a developmental orientation to education and instrumental and scientistic conceptions of rationality that dominate educational inquiry. An expanded conception of rationality is provided in the critical theory of Jurgen Habermas. This study draws on Habermas' work to present a theory of inquiry that is consistent with a developmental perspective. I distinguish three interdependent realms of experience--the objective world of nature, the intersubjective world of society and the subjective world of each individual. Then, I (...) argue that current conceptions of rationality tend to reduce personal and interpersonal experience to the objective material realm. Under prevailing conceptions, human action is rational when it pursues valued ends guided by knowledge about the world and effective means-ends relationships. Both theories of knowledge and theories of value in these conceptions are inadequate for a developmental orientation. -/- First, knowledge is defined as justified true belief. Theories of truth are based on the correspondence of beliefs with an external world; theories of justification are based on perceptual certainty. These conceptions objectify experience by making experience an object of natural science and instrumental action separate from and external to the person. Such conceptions reduce experience to the objective material dimension and cannot adequately account for the personal and interpersonal dimensions of human experience and understanding. -/- Second, because value claims are not capable of justification by these standards, they are considered ultimately irrational and treated as subjectively held empirical properties of individuals. The only standard of rationality is efficiency and economy in the selection of means. Ethics is reduced to empirical science. But the removal of practical questions from public discourse divests action of ethical significance. With its strict separation of descriptive and normative domains, empirical-analytic inquiry can neither acknowledge its standard of instrumental efficiency nor reach into the practical arena to guide the selection of values and ends that orient and gude human action. Practical questions that cannot be framed in terms of technical problems cannot be taken seriously. -/- Whereas these conceptions of rationality are generally derived from theories of experienced based on individual consciousness, Habermas looks to language for a more adequate account of the intersubjective nature of experience. This account provides an expanded conception of rationality with theories for justifying beliefs and actions that incorporate the personal and interpersonal dimensions of experience so critical to a developmental perspective. Through an analysis of the universal pragmatic structure of language directed to the resolution of problematic truth claims and moral claims, this study presents a consensus theory of truth (for a more adequate theory of knowledge) and a communicative theory of ethics (based on a more adequate theory of human values). -/- The concept of truth refers to a universal pragmatic convention of the unforced agreement of an ideal community of inquirers. Ethical conduct is guided by norms that reflect a rational general will and that regulate genuine human needs. Problematic truth claims and moral claims are discursively justified by the force of the better argument under the conditions of an anticipated "ideal speech situation" inherent in the very structure of communication. Furthermore, a theory of inquiry is developed in which inquiry processes are represented as historically evolved extensions of developmental process in the three realms of experience. Three interrelated forms of inquiry are derived--empirical-analytic, hermeneutic and critical. I derive each from its respective experiential realm, and indicate the logic of inquiry, object domain, and kind of knowledge gained from each. -/- An exploration of the relationship between inquiry and development provides a foundation for a developmental orientation to education. Finally, the theory is contrasted with prevailing inquiry approaches in education and illustrated with an application to a particular educational problem. (shrink)

The argument diagramming method developed by Monroe C. Beardsley in his (1950) book Practical Logic, which has since become the gold standard for diagramming arguments in informal logic, makes it possible to map the relation between premises and conclusions of a chain of reasoning in relatively complex ways. The method has since been adapted and developed in a number of directions by many contemporary informal logicians and argumentation theorists. It has proved useful in practical applications and especially pedagogically (...) in teaching basic logic and critical reasoning skills at all levels of scientific education. I propose in this essay to build on Beardsley diagramming techniques to refine and supplement their structural tools for visualizing logical relationships in a number of categories not originally accommodated by Beardsley diagramming, including circular reasoning, reductio ad absurdum arguments, and efforts to dispute and contradict arguments, with applications and analysis. (shrink)

This article explores the question of how the members of the Lvov-Warsaw School promoted values that can be regarded as components of so-called logical culture. The author argues that these values are strictly connected with science. With references to Łukasiewicz, Czeżowski, and Kotarbiński,the article explores how values shape the logical culture and determines society as directed towards values. The article connects the meta-philosophical perspective with the philosophical one.

How do we prepare engineering students to make ethical and responsible decisions in their professional work? This paper presents an approach that enhances engineering students’ engagement with ethical reasoning by simulating decision-making in a complex scenario. The approach has two principal inspirations. The first is Anthony Weston’s scenario-based teaching. Weston’s concept of a scenario is a situation that changes in response to choices made by participants, according to an inner logic. Scenarios can dynamically explore open-ended complex problems without imposing (...) predetermined results, allowing students to apply their ethical reasoning in a more realistic fashion. The second inspiration is Thi Nguyen’s theory of games. According to Nguyen, games are the “art of agency,” meaning that they provide a structure under which some result is agreed to be valuable, along with prescribed ways of achieving that result, in a relatively low-stakes and temporary social arrangement. By playing many games, Nguyen argues, we can develop a “library of agency,” that is to say, a set of values and means to achieving them that can inform how we make high-stakes decisions in real life. Engaging with carefully designed game scenarios, then, can enable students to practice making ethical decisions within a structured framework, which unfolds in response to their choices, while their decisions are driven by some defined goal. This roleplaying game–based approach thus allows students to build their own ethical libraries of agency, in preparation for professional decision-making. The approach is illustrated using a specific example recently deployed in a seminar on engineered living materials (building materials that incorporate living tissues). The scenario uses techniques from tabletop roleplaying games (e.g. Dungeons & Dragons) for outcome resolution, adventure design, and character creation. Through the game, students practice making difficult decisions in a humanitarian context. (shrink)

The text is a drought outlining the development of logic in Bosnia and Herzegovina through several periods of history: period of Ottoman occupation and administration of the Empire, period of Austro-Hungarian occupation and administration of the Monarchy, period of Communist regime and administration of the Socialist Republic and period from the aftermath of the aggression against the Republic of Bosnia and Herzegovina to this day (the Dayton Bosnia and Herzegovina) and administration of the International Community. For each of the (...) aforementioned periods, the text treats the organization of education, the educational paradigm of the model, status of logic as a subject in the educational system of a period, as well as the central figures dealing with the issue of logic (as researchers, lecturers, authors) and the key works written in each of the periods, outlining their main ideas. Thework of aNeoplatonic philosopher Porphyry, “Introduction” (Greek: Eisagogee), Latin: Isagoge; Arabic: Īsāġūğī), can be seen, in all periods of education in Bosnia and Herzegovina, as the main text, the principal textbook, as a motivation for logical thinking. That gave me the right to introduce the syntagm Bosnia Porphyriana. (shrink)

Learning mathematics through distance education can be challenging, with the “logical” and “rewarding” nature proving difficult to measure. This article aimed to articulate an argument explaining the “logical” and “rewarding” nature of online mathematics learning, elucidating their causal factors. Existing data from the literature that involving students at Visayas State University, Philippines, were utilized in this study. The study used statistical measures to capture descriptions from the data, and quantile regression analysis was employed to forecast the predictors of the (...) logicality and rewarding nature of learning mathematics at a distance. Results indicate that learning mathematics in the new normal is perceived as “logical” and moderately “rewarding”. The regression and correlation analyses revealed a significant positive association between the perceived “logical” nature and the rewarding experience of learning mathematics. The constructed statistical models depicted that the determinants of logicality in learning mathematics include family income, money spent on the internet, learning environment, household size, social status, and health. Moreover, causal factors such as family income, money spent on the internet, learning environment, leisure activities, social status, and health significantly determine the rewarding nature of learning mathematics online. Conclusively, institution must support college students with their online learning needs. Furthermore, mathematics instructors should create lively and exciting online discussions that boost their logical thinking. Providing problem-solving task that are intrinsically rewarding can contribute to a more fulfilling learning experience. (shrink)

This article focuses on the criticisms of current approaches in educational research methodology. Itsummarizes rationales for mixed methods and argues that the mixing quantitative paradigm andqualitative paradigm is problematic due to practical and philosophical arguments. It is alsoindicated that the current rise of mixed methods work has increased problems with quantitativeand qualitative methods. In this article we offer a different symbolic system, with differentlogical form for describing educational phenomena based on the philosophical assumptions andnew mathematical reasoning: para-quantitativism. Para-quantitative theory is (...) an approachwhich has been developed in respect to close relationship between paradigm and method, using apostpositivist transcendental realism as a philosophical beginning of the research methodology,taking Operational Logic System or Fuzzy Logic System (OLS/FLS) as logic of scientificresearch in education. (shrink)

This article is to explore whether the achievement of moral character is the ultimate goal of higher education from a cross cultural approach. To discuss this study logically, three major research questions are addressed. First, what are the concepts of moral, ethics, and character? Second, what is the achievement of moral character from the Eastern and the Western perspectives? Third, what is the role of higher education for the achievement of moral character? To defend these research questions, the (...) author uses a descriptive content analysis method, with a cross cultural approach. In order to explore the questions, the researcher in this study sets several limitations. Moral character is generally limited to the ancient Greek philosophy and Judeo-Christianity as well as to the classical Chinese thought and religion. Specifically, the study is mainly focused on not only Plato's "Republic" and Aristotle's "Nicomachean Ethics," but Confucius' "Analects" and Mencius' "Scripture (The Works of Mengzi)." Additionally, this paper also adjusts the lenses on moral theories, especially moral character, cardinal virtues, social harmony, and the common good. Lastly, higher education is focused on the lenses of Canada and South Korea. The significance of this study is to provide basic theories and valuable resources about moral and character education for educational theorists and practitioners, finding the theories of moral and ethics in the Eastern and the Western thoughts and religions. (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)

Many theories about the teaching of logic and critical thinking take for granted that theoretical learning, the learning of formal rules for example, and its practical application are sufficient to master the tools taught and to take the habit of using them. However, this way of teaching is not efficient, a conclusion supported by much work in cognitive science. Approaching cognition evolutionarily with dual-process theories allows for an explanation of these insufficiencies and offers clues on how we could teach (...) critical thinking and logic more efficiently. In this article, we want to present this approach and explore these leads in order to make some pedagogical recommendations and lay the foundations of a framework. We will put forward an example of the application of this research program with philosophy for children. (shrink)

Claude P. Bruter (editor), Mathematics in Art: Mathematical Visualization in Art and Education, Springer-Verlag, New York, 2002, pp. X + 337, ISBN 3-540-43422-4.

Some people believe that critical thinking is not a modern science, but its roots are old and deeply rooted in the history of philosophy. Its roots date back to Aristotle, the inventor of logic and who was called the first teacher by virtue of this invention. Aristotle was impressed by the language of mathematics and wanted to invent a language to logic similar to the language of Mathematics. What encouraged Aristotle to do so is that Math language is (...) quite different from daily life language. For example , when you say one in Mathematics language, what is this one you mean or intend? That is what is one? Is it a specific man or an animal or something abstract or any creature of the creatures of the natural world? The one we are talking about is neither this nor that and you can use it to talk about one human being or one animal or one creature. Therefore, the concept of the one is something abstract and it is so far from the creatures of the exterior world. Geometry has the same case. Triangle, quarter and rectangle as such are mere geometrical shapes and are far away from real life language. But when we use them in our daily life language we give them specific life meanings. -/- As I said, Aristotle was impressed by the language of Mathematics and wanted to build a similar language for logic .The rationale behind this is to get away from the language of ambiguity caused by the use of daily life language .One word or utterance in a language has many usages in one language or when translated into other languages , and therefore it causes many problems in usage instead of simplifying it and this is what Aristotle tried to avoid. Aristotle chose letters instead of words, the letter is part of the word, and the letter is meaningless unless it is a part of the word. The meaning of a letter depends on its occurrence in the word. If you compose a word from a group of letters and use it , it becomes ambiguous because it becomes part of the used language. -/- However, Aristotle did not combine letters in a word but he used them as abstract letters and gave them meanings in the language of logic where there is no divergence about its use. Aristotle used them in syllogism and they mean the limits of reason . Until recently critical thinking was part of formal logic and learning it means that you have logical background or at least you are familiar with the rules and fundamentals of logic. But critical thinking theorists soon took the initiative to separate it from logic because the latter started to suffer from its rules which are difficult to understand and which require some awareness and thoughts on the part of the scholar to understand. Hence , critical thinking is not supposed to possess a background of logic and it adopts a specific questioning approach where it suggests a number of questions the practitioner of critical thinking has to successively answer since he has to make sure that the opinion he reaches does not rely on any subjective considerations. This is how the skills that are acquired on a continuum of related critical questions are established ,this is not to mention that the concept of critical thinking itself is usually defined in this context as the awareness of such kinds of questions and the ability to arouse and answer them at appropriate times. My paper explains, How to be able to implement these skills in high education and what are the benefits of these skills? The paper includes; Critical Thinking and Logic Socrates `s Approach The impact of critical thinking on teaching methods Questioning How questions are organized in the light of critical thinking? Using Critical Thinking in Problem-Solving Use of Non-Oral language in Critical Thinking. (shrink)

The product of a Kickstarter fundraising campaign, "Clear and Present Thinking" is a college-level textbook in logic and critical thinking. Chapters: 1. Questions, Problems, and World Views 2. Good and Bad Thinking Habits 3. Basics of Argumentation 4. Fallacies 5. Reasonable Doubt 6. Moral Reasoning In an effort to reduce the cost of education for students, this textbook was funded by over 700 people through the Kickstarter online crowd-funding platform.

*NEWEST VERSION OF THIS RESOURCE ONLINE @ Philosop-her dotcom This textbook has developed over the last few years of teaching introductory symbolic logic and critical thinking courses. It has been truly a pleasure to have benefited from such great students and colleagues over the years. As we have become increasingly frustrated with the costs of traditional logic textbooks (though many of them deserve high praise for their accuracy and depth), the move to open source has become more and (...) more attractive. We're happy to provide it free of charge for educational use. With that being said, there are always improvements to be made here and we would be most grateful for constructive feedback and criticism. We have chosen to write this text in LaTex and have adopted certain conventions with symbols. Certainly many important aspects of critical thinking and logic have been omitted here, including historical developments and key logicians, and for that we apologize. Our goal was to create a textbook that could be provided to students free of charge and still contain some of the more important elements of critical thinking and introductory logic. To that end, an additional benefit of providing this textbook as a Open Education Resource (OER) is that we will be able to provide newer updated versions of this text more frequently, and without any concern about increased charges each time. We are particularly looking forward to expanding our examples, and adding student exercises. We will additionally aim to continually improve the quality and accessibility of our text for students and faculty alike. We have included a bibliography that includes many admirable textbooks, all of which we have benefited from. The interested reader is encouraged to consult these texts for further study and clarification. These texts have been a great inspiration for us and provide features to students that this concise textbook does not. We would both like to thank the philosophy students at numerous schools in the Puget Sound region for their patience and helpful suggestions. In particular, we would like to thank our colleagues at Green River College, who have helped us immensely in numerous different ways. Please feel free to contact us with comments and suggestions. We will strive to correct errors when pointed out, add necessary material, and make other additional and needed changes as they arise. Please check back for the most up to date version. (shrink)

Although written in Japanese, what the statistical inference is philosophically investigated.

Although written in Japanese, this article handles historical and technical survey of Gödel's incompleteness theorem thoroughly.

Resumo -/- A partir da experiência de produção de uma videoaula de Lógica em Libras (Testa, Moraes, Bizio e Caló, 2021) para o IFSP FILOLIBRAS, inserida no contexto do projeto ‘O Ensino de Filosofia para Surdos: elaboração de material didático em uma perspectiva de inclusão escolar’ (Moraes e Bizio, 2021), levantamos algumas questões relativas ao arcabouço teórico do projeto. Após introduzirmos as motivações do projeto, explicamos como sua metodologia foi tratada no contexto da aula de Lógica, expondo as principais dificuldades (...) e soluções encontradas. Através da análise desta experiência, pretendemos levantar subsídios teóricos para pesquisas futuras no tema, incluindo a produção de um curso inteiramente voltado para o ensino de Lógica em Libras, não apenas enquanto área da Filosofia, mas também enquanto área de estudo multi e transdisciplinar, propedêutica ao fomento do Pensamento Crítico. -/- Palavras-chave: Ensino de Lógica, Educação Especial, Pedagogia Bilíngue, Libras. -/- Abstract -/- Based on the experience of producing a video lesson on Logic in Libras (Testa, Moraes, Bizio and Caló, 2021) to the IFSP FILOLIBRAS, inserted in the context of the project ‘O Ensino de Filosofia para Surdos: elaboração de material didático em uma perspectiva de inclusão escolar’ (‘Teaching Philosophy for Deaf students: elaboration of didactic material in a perspective of inclusive education’, in a free translation) (Moraes and Bizio, 2021), we raise some questions regarding the theoretical framework of the project. After introducing the motivations of the project, we explain how the chosen methodology was considered in the context of the Logic class, exposing the main difficulties and solutions found. Through the analysis of this experience, we intend to raise theoretical subsidies for future research on the subject, including the production of a course entirely focused on the teaching of Logic in Libras, not only as an area of Philosophy but also as a multi and transdisciplinary area of study, propaedeutic to fostering Critical Thinking. -/- Keywords: Teaching Logic, Special Education, Bilingual Pedagogy, Libras. (shrink)

There are a lot of studies on Ahmed Cevdet Paşa who has been considered as statesman, politician, jurist, historian, sociologist and educationalist. At the same time Ahmet Cevdet Paşa’s studies on logic are critically important when we deal with the last period of the Ottoman Empire. His book which is called Miyar-ı Sedad had both influenced the development of instruction of logic education in madrasahs and created a turning point in the studies on modern logic. For (...) this reason we have discussed his opinions about logic and science in this study and we have also tried to show that how his opinions on these issues affecected the instruction and the other fields. (shrink)

1971. Discourse Grammars and the Structure of Mathematical Reasoning II: The Nature of a Correct Theory of Proof and Its Value, Journal of Structural Learning 3, #2, 1–16. REPRINTED 1976. Structural Learning II Issues and Approaches, ed. J. Scandura, Gordon & Breach Science Publishers, New York, MR56#15263. -/- This is the second of a series of three articles dealing with application of linguistics and logic to the study of mathematical reasoning, especially in the setting of a concern for improvement (...) of mathematical education. The present article presupposes the previous one. Herein we develop our ideas of the purposes of a theory of proof and the criterion of success to be applied to such theories. In addition we speculate at length concerning the specific kinds of uses to which a successful theory of proof may be put vis-a-vis improvement of various aspects of mathematical education. The final article will deal with the construction of such a theory. The 1st is the 1971. Discourse Grammars and the Structure of Mathematical Reasoning I: Mathematical Reasoning and Stratification of Language, Journal of Structural Learning 3, #1, 55–74. https://www.academia.edu/s/fb081b1886?source=link . (shrink)

Current approaches used in educational research and practice to evaluate the quality of written arguments often rely on structural analysis. In such assessments, credit is awarded for the presence of structural elements of an argument, such as claims, evidence, and rebuttals. In this article, we discuss limitations of such approaches, including the absence of criteria for evaluating the quality of the argument elements. We then present an alternative framework, based on the Rational Force Model (RFM), which originated from the work (...) of a Nordic philosopher Næss. Using an example of an argumentative essay, we demonstrate the potential of the RFM to improve argument analysis by focusing on the acceptability and relevance of argument elements, two criteria widely considered to be fundamental markers of argument strength. We outline possibilities and challenges with using the RFM in educational contexts and conclude by proposing directions for future research. (shrink)

There has been little overt discussion of the experimental philosophy of logic or mathematics. So it may be tempting to assume that application of the methods of experimental philosophy to these areas is impractical or unavailing. This assumption is undercut by three trends in recent research: a renewed interest in historical antecedents of experimental philosophy in philosophical logic; a “practice turn” in the philosophies of mathematics and logic; and philosophical interest in a substantial body of work in (...) adjacent disciplines, such as the psychology of reasoning and mathematics education. This introduction offers a snapshot of each trend and addresses how they intersect with some of the standard criticisms of experimental philosophy. It also briefly summarizes the specific contribution of the other chapters of this book. (shrink)

The paper argues that logical reasoning is what constitutes critical thinking because reasoning is normative, and logic provides a norm for reasoning. If a logical way of thinking is simply the same thing as reasoning, then the only limit or constraint of reasoning is the nature of the (logical) “rule” the kind of which is engaged with the practice of reasoning; rather than with either a component of social context or a com- ponent of a purely non-inferential or “immediate” (...) perception of a situation which is called sensitivity toward an object alone. However, such components are built into my analysis of what “reasoning” is. An approach to critical thinking being employed here is “an agent-based approach”. This paper also aims to pave the way for a further discussion on the limit of reasoning in a way that is relevant to the question of how critical thinking or reasoning should be taught in higher education. (shrink)

After years of neglect, alienation has again reached the agenda of critical thought. In my case, I recognize alienation as a challenge for education in contemporary societies. To obtain conceptual resources to overcome this challenge, I have revisited the comprehensive 20 th century discussion of alienation. Today, alienation is naturally discussed as an existential condition of human being, but still in the 1980s, there was a strong Marxist current that claimed alienation to be implied by capitalism, in particular by (...) the institution of private property and the social division of labor, and that alienation therefore should be criticized as part of the critique of capitalism and political economy and possibly overcome. Today, under the hegemony of neo-liberal capitalism, this critical and processual concept of alienation is more relevant than ever. Hence, in the present work I argue that the basic logic of Marx's idea of alienation still has critical potential. The argument forms a long engagement with mainly 20 th century literature, departing from the very idea of capitalism, considering the ideas of history, education and democracy, discussing how to distinguish and translate key terms, considering why alienation became an object of controversy among Marxists, offering an interpretation of Marx's critique relevant for contemporary society, thus considering alienation a consequence of working under conditions of private property, i.e. being a human being in a capitalist society, and finally presenting Marx's idea of communism as relevant to the contemporary educational agenda. (shrink)