This study aims to show a similarity of Kant’s and Jung’s approaches to an issue of the possibility of scientific psychology, hence to explicate what they thought about the future of psychology. Therefore, the article contains heuristic material, which can contribute in a resolving of such methodological task as searching of promising directions to improve philosophical and scientific psychology. To achieve the aim the author attempts to clarify an entity of Kant’s and Jung’s objections against even the (...) possibility of scientific psychology and to find out ways to overcome those objections in Kant’s and Jung’s works. The main methods were explication, reconstruction and comparative analysis of Kant’s and Jung’s views. As a result it was found, that Kant and Jung allocated one and the same obstacles, which, on their opinion, prevent psychology to become a science in the strict sense. They are: 1) coincidence of subject and object in psychology; 2) impossibility to apply quantitative mathematic methods in psychology; 3) pendency of the issue of psychophysical parallelism. However, Kant and Jung indicated ways to resolve formulated by them fundamental difficulties. All those ways lay through the searching a principle of interaction and connection between the psychic and the physical. (shrink)

Over the years, mathematics and statistics have become increasingly important in the social sciences1 . A look at history quickly confirms this claim. At the beginning of the 20th century most theories in the social sciences were formulated in qualitative terms while quantitative methods did not play a substantial role in their formulation and establishment. Moreover, many practitioners considered mathematical methods to be inappropriate and simply unsuited to foster our understanding of the social domain. Notably, the famous Methodenstreit (...) also concerned the role of mathematics in the social sciences. Here, mathematics was considered to be the method of the natural sciences from which the social sciences had to be separated during the period of maturation of these disciplines. All this changed by the end of the century. By then, mathematical, and especially statistical, methods were standardly used, and their value in the social sciences became relatively uncontested. The use of mathematical and statistical methods is now ubiquitous: Almost all social sciences rely on statistical methods to analyze data and form hypotheses, and almost all of them use (to a greater or lesser extent) a range of mathematical methods to help us understand the social world. Additional indication for the increasing importance of mathematical and statistical methods in the social sciences is the formation of new subdisciplines, and the establishment of specialized journals and societies. Indeed, subdisciplines such as Mathematical Psychology and Mathematical Sociology emerged, and corresponding journals such as The Journal of Mathematical Psychology (since 1964), The Journal of Mathematical Sociology (since 1976), Mathematical Social Sciences (since 1980) as well as the online journals Journal of Artificial Societies and Social Simulation (since 1998) and Mathematical Anthropology and Cultural Theory (since 2000) were established. What is more, societies such as the Society for Mathematical Psychology (since 1976) and the Mathematical Sociology Section of the American Sociological Association (since 1996) were founded. Similar developments can be observed in other countries. The mathematization of economics set in somewhat earlier (Vazquez 1995; Weintraub 2002). However, the use of mathematical methods in economics started booming only in the second half of the last century (Debreu 1991). Contemporary economics is dominated by the mathematical approach, although a certain style of doing economics became more and more under attack in the last decade or so. Recent developments in behavioral economics and experimental economics can also be understood as a reaction against the dominance (and limitations) of an overly mathematical approach to economics. There are similar debates in other social sciences. It is, however, important to stress that problems of one method (such as axiomatization or the use of set theory) can hardly be taken as a sign of bankruptcy of mathematical methods in the social sciences tout court. This chapter surveys mathematical and statistical methods used in the social sciences and discusses some of the philosophical questions they raise. It is divided into two parts. Sections 1 and 2 are devoted to mathematical methods, and Sections 3 to 7 to statistical methods. As several other chapters in this handbook provide detailed accounts of various mathematical methods, our remarks about the latter will be rather short and general. Statistical methods, on the other hand, will be discussed in-depth. (shrink)

Artificial Psychology (AP) is a highly multidisciplinary field of study in psychology. AP tries to solve problems which occur when psychologists do research and need a robust analysis method. Conventional statistical approaches have deep rooted limitations. These approaches are excellent on paper but often fail to model the real world. Mind researchers have been trying to overcome this by simplifying the models being studied. This stance has not received much practical attention recently. Promoting and improving artificial intelligence helps (...) mind researchers to find a holistic model of mental models. This development achieves this goal by using multiple perspectives and multiple data sets together with interactive, and realistic models. In this book, the methodology of approximate inference in psychological research from a theoretical and practical perspective has been considered. Quantitative variable-oriented methodology and qualitative case-oriented methods are both used to explain the set-oriented methodology and this book combines the precision of quantitative methods with information from qualitative methods. This is a book that many researchers can use to expand and deepen their psychological research and is a book which can be useful to postgraduate students. The reader does not need an in-depth knowledge of mathematics or statistics because statistical and mathematical intuitions are key here and they will be learned through practice. What is important is to understand and use the new application of the methods for finding new, dynamic and realistic interpretations. This book incorporates theoretical fuzzy inference and deep machine learning algorithms in practice. This is the kind of book that we wished we had had when we were students. This book covers at least some of the most important issues in mind research including uncertainty, fuzziness, continuity, complexity and high dimensionality which are inherent to mind data. These are elements of artificial psychology. This book implements models using R software. (shrink)

Introduction to the Special Volume, “Method, Science and Mathematics: Neo-Kantianism and Analytic Philosophy,” edited by Scott Edgar and Lydia Patton. At its core, analytic philosophy concerns urgent questions about philosophy’s relation to the formal and empirical sciences, questions about philosophy’s relation to psychology and the social sciences, and ultimately questions about philosophy’s place in a broader cultural landscape. This picture of analytic philosophy shapes this collection’s focus on the history of the philosophy of mathematics, physics, and psychology. The (...) following essays uncover, reflect on, and exemplify modes of philosophy that are engaged with these allied disciplines. They make the case that, to the extent that analytic philosophers are still concerned with philosophy’s ties to these disciplines, we would do well to pay attention to neo-Kantian views on those ties. (shrink)

This chapter tries to answer the following question: How should we conceive of the method of mathematics, if we take a naturalist stance? The problem arises since mathematical knowledge is regarded as the paradigm of certain knowledge, because mathematics is based on the axiomatic method. Moreover, natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some authors tried to naturalize (...) mathematics by relying on evolutionism. But several difficulties arise when we try to do this. This chapter suggests that, in order to naturalize mathematics, it is better to take the method of mathematics to be the analytic method, rather than the axiomatic method, and thus conceive of mathematical knowledge as plausible knowledge. (shrink)

Preface -/- 1. 'Anima' and 'res cogitans'. The Cartesian idea of nature and mind as a residual concept. The first chapter discusses the genesis of the concept of mind in Cartesian Philosophy; the claim is advanced that 'res cogitans' is a residual concept, defined on the basis of a previous definition of matter as 'res extensa'. As a consequence, a contradictory ontology of the mind is Descartes's poisoned bequest to the following tradition of 'scientific' psychology. -/- 2. The Mathematical (...) method in the theory of the mind and the passions. The second chapter discusses the first ambitious attempt in this direction, namely Spinoza's theory of the mind and the passions in Ethics II and III; the topics treated are Spinoza's program of a mathematical science of the mind and his transformation of the genre 'treatise of the passions' into a would-be mathematical science of the motions of the soul. -/- 3. The definition of affections and the impossibility of reducing inadequate to adequate ideas. The third chapter discusses a tension in Spinoza project of a theory of the passions, namely a need to reduce concepts to pure mathematical definitions and the opposite need to keep inadequate imaginative definitions of the phenomena under scrutiny, namely the passions, in order to avoid a radical reduction of the subject-matter to the only truly existing reality (the world order in itself) that would leave the theory without any subject-matter at all. -/- 4. 'Conatus', 'potentia', 'vis'. Concepts of force in the theory of passions and the impossibility of eliminating occult qualities. The fourth chapter discusses the troubles arising in the original project deriving from difficulties in the treatment of dynamic concepts, such as the notion of conatus, which were an unavoidable consequence of Cartesian assumptions. -/- 5. Overview and discussion. Chapter five tries to draw a general discussion, focusing on the tension between the Cartesian assumptions and the actual practice in the new post-Galilean sciences, including attempts at giving birth to psychology or science of man. -/- Appendices I. The mind-body problem in Spinoza. II. Concepts of force in Newton and Spinoza. III. Materialist readings of Newton and Spinoza. IV. On the opposition of materialism and spiritualism and Geisteswissenschaften and natural science. V. Conatus, the idea of liberation and social theory in Spinoza. (shrink)

Slot machines gained a high popularity despite a specific element that could limit their appeal: non-transparency with respect to mathematical parameters. The PAR sheets, exposing the parameters of the design of slot machines and probabilities associated with the winning combinations are kept secret by game producers, and the lack of data regarding the configuration of a machine prevents people from computing probabilities and other mathematical indicators. In this article, I argue that there is no rational justification for this secrecy by (...) giving two reasons, one psychological and the other mathematical. For the latter, I show that mathematics provides us with some statistical methods of retrieving the missing data, which are essential for the numerical probability computations in slots. The slots case raises the problem of the exposure of the parametric configuration and mathematical facts of any game of chance as an ethical obligation. (shrink)

Psychology has been considered to have an autonomy from the other sciences (especially physical science) in at least two ways: in its subject-matter and in its methods. To say that the subject-matter of psychology is autonomous is to say that psychology deals with entities—properties, relations, states—which are not dealt with or not wholly explicable in terms of physical (or any other) science. Contrasted with this is the idea that psychology employs a characteristic method of explanation, (...) which is not shared by the other sciences. I shall label the two senses of autonomy ‘metaphysical autonomy’ and ‘explanatory autonomy’ The question of whether psychology as a science is autonomous in either sense is one of the philosophical questions surrounding the (somewhat vague) doctrine of ‘naturalism’: questions concerning the extent to which the human mind can be brought under the aegis of natural science. In their contemporary form, these questions had their origin in the ‘new science’ of the 17th century. Early materialists like Hobbes (1651) and La Mettrie (1748) rejected both explanatory and metaphysical autonomy: mind is matter in motion, and the mind can be studied by the mathematical methods of the new science just as any matter can. But while materialism (and therefore the denial of metaphysical autonomy) had to wait until the 19th century before starting to become widely accepted, the denial of explanatory autonomy remained a strong force in empiricist philosophy. Hume described his Treatise of Human Nature (1739-40) as an ‘attempt to introduce the experimental method of reasoning into moral subjects’—where ‘moral’ signifies ‘human’. And subsequent criticism of Hume’s views, notably by Kant and Reid, ensured that the question of naturalism—whether there can be a ‘science of man’—was one of the central questions of 19th century philosophy, and a question which hovered over the emergence of psychology as an independent discipline (see Reed 1994). In the 20th century, much of the philosophical discussion of the autonomy of psychology has been inspired by the Logical Positivists’ discussions of the UNITY OF.... (shrink)

The study aimed at investigating the relationship between parental involvement and learners’ perceived attitude to their academic performance in Mathematics. To achieve this aim, the researcher used a sample of 134 parents and learners from grades 4-6 at Bungahan Elementary School. The researcher used the descriptive-correlational method of research, which utilized standardized questionnaires from published research. The study clearly revealed that learners’ attitudes toward Mathematics do not affect their academic performance in Mathematics. The result of the correlational analysis is that (...) learners’ perceived attitudes in Mathematics such as (a) Motivation and Support, (b) Anxiety in Learning, (c) Self-Efficacy in Learning Mathematics do not significantly affect their academic performance in Mathematics as these perceived attitudes got a significant level of greater than 0.05, therefore, the null hypothesis was accepted. However, among the different ways of parental involvement stated in the study, only the mentoring strategies provided by the parents during the indicated school year have been effective in increasing their performance in Mathematics. There is a significant relationship between the mentoring strategies of parents and learners’ academic performance; p= 0.016 (<0.05), which means a p-value smaller than 0.05 suggests that the correlation is statistically significant (at the 5 % level). The correlation coefficient for this is -0.253, which is negative. In other words: as the Mentoring Strategies increase, Learners’ Academic Performance decreases. Concerning the strength of the correlation, -0.253 can be said to be weak. Nevertheless, it is critical to investigate how parents can assist and contribute to their children's academic success. Conclusions were drawn and recommendations were offered. (shrink)

This paper focuses on the distinction between methods which are mathematically "clever", and those which are simply crude, typically repetitive and computer intensive, approaches for "crunching" out answers to problems. Examples of the latter include simulated probability distributions and resampling methods in statistics, and iterative methods for solving equations or optimisation problems. Most of these methods require software support, but this is easily provided by a PC. The paper argues that the crunchier methods often have (...) substantial advantages from the perspectives of user-friendliness, reliability (in the sense that misuse is less likely), educational efficiency and realism. This means that they offer very considerable potential for simplifying the mathematical syllabus underlying many areas of applied mathematics such as management science and statistics: crunchier methods can provide the same, or greater, technical power, flexibility and insight, while requiring only a fraction of the mathematical conceptual background needed by their cleverer brethren. (shrink)

Francis Ysidro Edgeworth’s unduly neglected monograph New and Old Methods of Ethics (1877) advances a highly sophisticated and mathematized account of social well-being in the utilitarian tradition of his 19th-century contemporaries. This article illustrates how his usage of the ‘calculus of variations’ was combined with findings from empirical psychology and economic theory to construct a consequentialist axiological framework. A conclusion is drawn that Edgeworth is a methodological predecessor to several important methods, ideas, and issues that continue to (...) be discussed in contemporary social well-being studies. (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)

Moral reasoning traditionally distinguishes two types of evil: moral and natural. The standard view is that ME is the product of human agency and so includes phenomena such as war, torture and psychological cruelty; that NE is the product of nonhuman agency, and so includes natural disasters such as earthquakes, floods, disease and famine; and finally, that more complex cases are appropriately analysed as a combination of ME and NE. Recently, as a result of developments in autonomous agents in cyberspace, (...) a new class of interesting and important examples of hybrid evil has come to light. In this paper, it is called artificial evil and a case is made for considering it to complement ME and NE to produce a more adequate taxonomy. By isolating the features that have led to the appearance of AE, cyberspace is characterised as a self-contained environment that forms the essential component in any foundation of the emerging field of Computer Ethics. It is argued that this goes some way towards providing a methodological explanation of why cyberspace is central to so many of CE’s concerns; and it is shown how notions of good and evil can be formulated in cyberspace. Of considerable interest is how the propensity for an agent’s action to be morally good or evil can be determined even in the absence of biologically sentient participants and thus allows artificial agents not only to perpetrate evil but conversely to ‘receive’ or ‘suffer from’ it. The thesis defended is that the notion of entropy structure, which encapsulates human value judgement concerning cyberspace in a formal mathematical definition, is sufficient to achieve this purpose and, moreover, that the concept of AE can be determined formally, by mathematical methods. A consequence of this approach is that the debate on whether CE should be considered unique, and hence developed as a Macroethics, may be viewed, constructively, in an alternative manner. The case is made that whilst CE issues are not uncontroversially unique, they are sufficiently novel to render inadequate the approach of standard Macroethics such as Utilitarianism and Deontologism and hence to prompt the search for a robust ethical theory that can deal with them successfully. The name Information Ethics is proposed for that theory. It is argued that the uniqueness of IE is justified by its being non-biologically biased and patient-oriented: IE is an Environmental Macroethics based on the concept of data entity rather than life. It follows that the novelty of CE issues such as AE can be appreciated properly because IE provides a new perspective. In light of the discussion provided in this paper, it is concluded that Computer Ethics is worthy of independent study because it requires its own application-specific knowledge and is capable of supporting a methodological foundation, Information Ethics. (shrink)

This collection of articles was written over the last 10 years and edited to bring them up to date (2017). The copyright page has the date of the 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., of human ecology and psychology to actually give them some control over themselves), maybe civilization would have a chance. As things are however the leaders of society have no more grasp of things than their constituents and so collapse into anarchy is inevitable. The first group of articles attempts to give some insight into how we behave that is reasonably free of the theoretical delusions that are universal. In the next group, I show how these insights apply by reviewing some books in philosophy and psychology. Next I review books on science and religion and finally provide reviews and articles showing how understanding of both science and philosophy gives insight into the tragic delusions destroying the world. People believe that society can be saved by science, religion and politics, so I provide some suggestions as to why this is unlikely via short articles and reviews of recent books by well-known writers. It is critical to understand why we behave as we do and so the first section presents articles that try to describe (not explain as Wittgenstein insisted) behavior. I start with a brief review of the logical structure of rationality, which provides some heuristics for the description of language (mind, rationality, personality) and gives some suggestions as to how this relates to the evolution of social behavior. This centers around the two writers I have found the most important in this regard, Ludwig Wittgenstein and John Searle, whose ideas I combine and extend within the dual system (two ii 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. Since philosophical problems are the result of our innate psychology, or as Wittgenstein put it, due to the lack of perspicuity of language, they run throughout human discourse and behavior, 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 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) 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 the source of the universal blindness described by Searle’s The Phenomenological Illusion (TPI), Pinker’s Blank Slate and Tooby and Cosmides’ Standard Social Science Model. 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. iii 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 as 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, (or that that they differ only in degree from drug and sex addicts in being motivated by stimulation of their frontal cortices by the delivery of dopamine (and over 100 other chemicals) via the ventral tegmentum and the nucleus accumbens), but it’s clearly true. While the phenomenologists only wasted a lot of people’s time, they are wasting the earth and their descendant’s futures. Many of the articles describe the ‘digital delusions’, which confuse the language games of System 2 with the automatisms of System 1, and so cannot distinguish biological machines (i.e., people) from other kinds of machines (i.e., computers). The ‘reductionist’ claim is that one can ‘explain’ behavior at a ‘lower’ level, but what actually happens is that one does not explain human behavior but a ‘stand in’ for it. Hence the title of Searle’s classic review of Dennett’s book (“Consciousness Explained”)— “Consciousness Explained Away”. In most contexts ‘reduction’ of higher level emergent behavior to brain functions, biochemistry, or physics is incoherent. Also for ‘reduction’ of chemistry or physics, the path is blocked by chaos and uncertainty. Anything can be ‘represented’ by equations, but when they ‘represent’ higher order behavior, it is not clear (and cannot be made clear) what the ‘results’ mean. Reductionist metaphysics is a joke, but most scientists and philosophers lack the appropriate sense of humor. Other digital delusions are that we will be saved from the pure evil (selfishness) of System 1 by computers/AI/robotics/ nanotech/genetic engineering created by System 2. The No Free Lunch principal tells us there will be serious and possibly fatal consequences. The adventurous may regard this principle as a higher order emergent expression of the Second Law of Thermodynamics. Hi-tech enthusiasts hugely underestimate the problems iv resulting from unrestrained motherhood, and of course it is neither profitable nor politically correct (and now with third world supremacism dominant, not even possible) to be honest about it. The last section describes various versions of the ‘altruism delusion’ that we are selected for cooperation, and that the euphonious ideals of Democracy, Diversity and Equality will lead us into utopia, if we just manage things correctly (the possibility of politics). Again, the No Free Lunch Principle ought to warn us it cannot be true, and we see throughout history and all over the contemporary world, that without strict controls, selfishness and stupidity gain the upper hand and soon destroy any nation that embraces it. In addition, the monkey mind steeply discounts the future, and so we cooperate in selling our descendant’s heritage for temporary comforts, greatly exacerbating the problems. I describe versions of this delusion (i.e., that we are basically ‘friendly’ if just given a chance) as it appears in some recent books on sociology/biology/economics. I end with an essay on the great tragedy playing out in America and the world, which can be seen as a direct result of our evolved psychology manifested as the inexorable machinations of System 1. Our psychology, eminently adaptive and eugenic on the plains of Africa from ca. 6 million years ago, when we split from chimpanzees, to ca. 50,000 years ago, when many of our ancestors left Africa (i.e., in the EEA or Environment of Evolutionary Adaptation), is now maladaptive and dysgenic and the source of our Suicidal Utopian Delusions. So, like all discussions of behavior (philosophy, psychology, sociology, biology, anthropology, politics, law, literature, history, economics, soccer strategies, business meetings, etc.), this book is about evolutionary strategies, selfish genes and inclusive fitness (kin selection). Many accept the delusion that we are selected for cooperation with people generally (group selection or altruism) and not just our immediate relatives (kin selection or inclusive fitness), so I spend some time in the essays of the last section demolishing this fantasy. One thing rarely mentioned by the group selectionists is the fact that, even were ‘group selection’ possible, selfishness is at least as likely (probably far more likely in most contexts) to be group selected for as altruism. Just try to find examples of true altruism in nature –the fact that we can’t (which we know is not possible if we understand evolution) tells us that its apparent presence in humans is an artefact of modern life concealing the facts, and that it can no more be selected for than the tendency to suicide (which in fact it is). One does not really need science or mathematics to grasp this – it is crushingly obvious that an v organism cannot be selected for behavior that decreases the frequency of its own genes in the next generation. One might also benefit from considering a phenomenon never (in my experience) mentioned by group selectionists -- cancer. No group has as much in common as the (originally) genetically identical cells in our own bodies-a 100 trillion cell clone-- but we are all born with thousands and perhaps millions of cells that have already taken the first step on the path to cancer and generate millions to billions of cancer cells in our life. If we did not die of other things first, we (and perhaps all multicellular organisms) would all die of cancer. Only a massive and hugely complex mechanism built into our genome that represses or derepresses trillions of genes in trillions of cells, and kills and creates billions of cells a second, keeps the majority of us alive long enough to reproduce. One might take this to imply that a just, democratic and enduring society for any kind of entity on any planet in any universe is only a dream, and that no being or power could make it otherwise. It is not only ‘the laws’ of physics that are universal and inescapable, or perhaps we should say that inclusive fitness is a law of physics. The great mystic Osho said that the separation of God and Heaven from Earth and Humankind was the most evil idea that ever entered the Human mind. In the 20th century an even more evil notion arose—that humans are born with rights, rather than having to earn privileges. Thus, every day the population increases by 200,000, who must be provided with resources to grow and space to live, and who soon produce another 200,000 etc. And one almost never hears it noted that what they receive must be taken from those already alive. Their lives diminish those already here in both major obvious and countless subtle ways. Every new baby destroys the earth from the moment of conception. There cannot be human rights without human wrongs. It cannot be more obvious, but one will never see the streets full of protesters against motherhood. America and the world are in the process of collapse from excessive population growth, most of it for the last century and now all of it due to 3rd world people. Consumption of resources and the addition of 4 billion more ca. 2100 will collapse industrial civilization and bring about starvation, disease, violence and war on a staggering scale. The earth loses about 2% of it’s topsoil every year, so as it nears 2100, most of it’s food growing capacity will be gone. Billions will die and nuclear war is all but certain. In America, this is being hugely accelerated by massive immigration and immigrant reproduction, combined with abuses made possible by democracy. Depraved human nature inexorably turns the dream of democracy and diversity into a vi nightmare of crime and poverty. China will continue to overwhelm America and the world, as long as it maintains the dictatorship which limits selfishness. The root cause of collapse is the inability of our innate psychology to adapt to the modern world, which leads people to treat unrelated persons as though they had common interests. This, plus ignorance of basic biology and psychology, leads to the social engineering delusions of the partially educated who control democratic societies. Few understand that if you help one person you harm someone else—there is no free lunch and every single item anyone consumes destroys the earth beyond repair. Consequently, social policies everywhere are unsustainable and one by one all societies without stringent controls on selfishness will collapse into anarchy or dictatorship. Without dramatic and immediate changes, there is no hope for preventing the collapse of America, or any country that follows a democratic system. The popular notions supported by the Democratic Party and Third World Supremacists are that Democracy, Diversity, Equality and Social Justice will produce a Utopia in America and the world, but it is clear as crystal that they unavoidably foster selfishness and divisiveness and are producing collapse. Hence my concluding essay “Suicide by Democracy”. The most basic facts, almost never mentioned, are that there are not enough resources in America or the world to lift a significant percentage of the poor out of poverty and keep them there. Even the attempt to do this is already bankrupting America and destroying the world. The earth’s capacity to produce food decreases daily, as does our genetic quality. And now, as always, by far the greatest enemy of the poor is other poor and not the rich. -/- My writings are available 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)

With the growing emphasis on early mathematics education, it is imperative to explore the preparedness of early years mathematics pre-service teachers in relation to content knowledge, beliefs, and dispositions. Therefore, this mixed-methods study explored Lebanese pre-service teachers’ mathematics dispositions and efficacy beliefs in the context of a mathematics methods course. The sample comprised of 11 pre-service teachers who completed a survey prior to and after completing the methods course. Additionally, they each participated in a semi-structured interview shortly (...) after beginning the course. Results revealed pre-service teachers had the most positive beliefs with regards to how mathematics is learned, the nature and usefulness of mathematics, and personal teaching efficacy. Following the course, statistically significant differences were observed with regards to how mathematics is learned, personal teaching efficacy beliefs, and general teaching efficacy beliefs. Practical implications include the importance of subject-specific mathematics methods courses for teachers of younger children, as well as supporting the development of pre-service teachers’ conceptual mathematical understanding prior to entering the profession. (shrink)

This collection of articles was written over the last 10 years and edited them to bring them up to date (2017). 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., of human ecology and psychology to actually give them some control over themselves), maybe civilization would have a chance. As things are however the leaders of society have no more grasp of things than their constituents and so collapse into anarchy is inevitable. -/- It is critical to understand why we behave as we do and so the first section presents articles that try to describe (not explain as Wittgenstein insisted) behavior. Section one starts with a brief review of the logical structure of rationality which provides some heuristics for the description of language (mind) and gives some suggestions as to how this relates to the evolution of social behavior. This centers around the two writers I have found the most important in this regard, 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. -/- Since philosophical problems are the result of our innate psychology, or as Wittgenstein put it, due to the lack of perspicuity of language, they run throughout 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 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) -/- 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 the source of the universal blindness described by Searle’s The Phenomenological Illusion (TPI), Pinker’s Blank Slate and Tooby and Cosmides’ Standard Social Science Model. -/- 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 as 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, (or that that they differ only in degree from drug and sex addicts in being motivated by stimulation of their frontal cortices by the delivery of dopamine via the ventral tegmentum and the nucleus accumbens) but it’s clearly true. While the phenomenologists only wasted a lot of people’s time, they are wasting the earth and their descendant’s future. Section one continues with other views of behavior which my reviews attempt to correct and put in context with minimal theory. -/- The next section describes the digital delusions which confuse the language games of System 2 with the automatisms of System one, and so cannot distinguish biological machines (i.e., people) from other kinds of machines (i.e., computers). The ‘reductionist’ claim is that one can ‘explain’ behavior at a ‘lower’ level, but what actually happens is that one does not explain human behavior but a ‘stand in’ for it. Hence the title of Searle’s classic review of Dennett’s book (“Consciousness Explained”)— “Consciousness Explained Away”. In most contexts ‘reduction’ of higher level emergent behavior to brain functions, biochemistry, or physics is incoherent. Even for chemistry or physics the path is blocked by chaos and uncertainty. Anything can be ‘represented’ by equations, but when they ‘represent’ higher order behavior, it is not clear what the ‘results’ mean. Reductionist metaphysics is a joke but most scientists and philosophers lack the appropriate sense of humor. -/- Another hi-tech delusion is that the we will be saved from the pure evil (selfishness) of System 1 by computers/AI/robotics/ nanotech/genetic engineering created by System 2. The No Free Lunch principal tells us there will be serious and possibly fatal consequences. The adventurous may regard this principle as a higher order emergent expression of the Second Law of Thermodynamics. -/- The last section describes The One Big Happy Family Delusion , i.e., that we are selected for cooperation with everyone and that the euphonious ideals of Democracy, Diversity and Equality will lead us into utopia. Again the No Free Lunch Principle ought to warn us it cannot be true, and we see throughout history and all over the contemporary world, that without strict controls, selfishness and stupidity gain the upper hand and soon destroy any nation that embraces it. In addition, the monkey mind steeply discounts the future, and so we sell our descendant’s heritage for temporary comforts greatly exacerbating the problems. -/- I describe versions of this delusion (i.e., that we are basically ‘friendly’ if just given a chance) as it appears in some recent books on sociology/biology/economics. I end with an essay on the great tragedy playing out in America and the world, which can be seen as a direct result of our evolved psychology manifested as the inexorable machinations of System 1. Our evolved psychology, eminently adaptive and eugenic on the plains of Africa ca. 50,000 years ago, when many of our ancestors left Africa, to ca. 6 million years ago, when we split from chimpanzees (i.e., in the EEA or Environment of Evolutionary Adaptation), but now maladaptive and dysgenic and the source of our Suicidal Utopian Delusions. So, like all discussions of behavior, this book is about evolutionary strategies, selfish genes and inclusive fitness. 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Two families of mathematical methods lie at the heart of investigating the hierarchical structure of genetic variation in Homo sapiens: /diversity partitioning/, which assesses genetic variation within and among pre-determined groups, and /clustering analysis/, which simultaneously produces clusters and assigns individuals to these “unsupervised” cluster classifications. While mathematically consistent, these two methodologies are understood by many to ground diametrically opposed claims about the reality of human races. Moreover, modeling results are sensitive to assumptions such as preexisting theoretical commitments to (...) certain linguistic, anthropological, and geographic human groups. Thus, models can be perniciously reified. That is, they can be conflated and confused with the world. This fact belies standard realist and antirealist interpretations of “race,” and supports a pluralist conventionalist interpretation. (shrink)

This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition.

Moral reasoning traditionally distinguishes two types of evil:moral (ME) and natural (NE). The standard view is that ME is the product of human agency and so includes phenomena such as war,torture and psychological cruelty; that NE is the product of nonhuman agency, and so includes natural disasters such as earthquakes, floods, disease and famine; and finally, that more complex cases are appropriately analysed as a combination of ME and NE. Recently, as a result of developments in autonomous agents in cyberspace, (...) a new class of interesting and important examples of hybrid evil has come to light. In this paper, it is called artificial evil (AE) and a case is made for considering it to complement ME and NE to produce a more adequate taxonomy. By isolating the features that have led to the appearance of AE, cyberspace is characterised as a self-contained environment that forms the essential component in any foundation of the emerging field of Computer Ethics (CE). It is argued that this goes someway towards providing a methodological explanation of why cyberspace is central to so many of CE's concerns; and it is shown how notions of good and evil can be formulated in cyberspace. Of considerable interest is how the propensity for an agent's action to be morally good or evil can be determined even in the absence of biologically sentient participants and thus allows artificial agents not only to perpetrate evil (and fort that matter good) but conversely to `receive' or `suffer from' it. The thesis defended is that the notion of entropy structure, which encapsulates human value judgement concerning cyberspace in a formal mathematical definition, is sufficient to achieve this purpose and, moreover, that the concept of AE can be determined formally, by mathematical methods. A consequence of this approach is that the debate on whether CE should be considered unique, and hence developed as a Macroethics, may be viewed, constructively,in an alternative manner. The case is made that whilst CE issues are not uncontroversially unique, they are sufficiently novel to render inadequate the approach of standard Macroethics such as Utilitarianism and Deontologism and hence to prompt the search for a robust ethical theory that can deal with them successfully. The name Information Ethics (IE) is proposed for that theory. Itis argued that the uniqueness of IE is justified by its being non-biologically biased and patient-oriented: IE is an Environmental Macroethics based on the concept of data entity rather than life. It follows that the novelty of CE issues such as AE can be appreciated properly because IE provides a new perspective (though not vice versa). In light of the discussion provided in this paper, it is concluded that Computer Ethics is worthy of independent study because it requires its own application-specific knowledge and is capable of supporting a methodological foundation, Information Ethics. (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 Handbook of Metaphysics and Ontology reflects the conviction that the history of metaphysics and current work in metaphysics and ontology can each throw valuable light on the other. Thus it is designed to serve both äs a means of making more widely accessible the results of recent scholarship in the history of philosophy, and also äs a unique work of reference in reladon to the metaphysical themes at the centre of much current debate in analyüc philosophy. The work contains (...) more man 450 shorter articies on specific themes and methods in metaphysics and ontology, together with biographical essays summarizing the thinking of the most important philosophers within the traditions dealt with. In addition, it contains about 20 longer survey arücles mapping out both historically and systemadcally the main areas of metaphysics and ontology. AU contributions have been speciaüy commissioned for this project from leading authorities in their respective fields. A special feature of the work is the pardcular attention that is paid to topics and issues of relevance to contemporary philosophical debates. The work includes also a series of arücles on the logical and mathematical tools of metaphysics and on the applications of metaphysical ideas within linguisdcs, psychology, cognitive science, and mathemadcs. (shrink)

This is a textbook for a research methods class in the social sciences. This book is OER and creative commons.

The role of the cultural assets as one of the pillars of sustainable development is undeniably of great significance in the cultural sustainability of cities. Indeed, the way users understand and interpret cultural heritage sites would be highly critical to managing cultural organizations properly. It means by improving users’ perception of these sites, it can expect a fair distribution of comprehensive awareness among generations about the values of cultural assets. Past studies in spatial psychology have demonstrated that environmental properties (...) can positively Influence human emotions. On the other hand, using computational–mathematical methods used to examine spatio-visual properties have rarely been compared to human perceptions. This paper examines the impact of spatio-visual properties on human perception as a clever cultural management strategy to promote cultural sustainability. It is discussed how environmental features in general, and visibility in particular, can shape the way users interpret cultural heritage. Results indicate that not only visibility of users’ paths within cultural heritage sites can be an influential factor for the development of users’ perception, but also the visibility of the entrance of these complexes can change their understanding. This means that decision-makers, architects, and managers of the cultural organizations can apply these findings as cultural management framework by defining predefined paths in these sites in the way that they possess high visibility and visible entrance. Consequently, the distribution of public awareness among generations can be improved to strengthen the role of cultural aspects in sustainable development. (shrink)

This theoretical paper explores the application of Hegelian inferentialism combined with contemporary quantitative methods to enhance decision-making in healthcare leadership. It proposes a novel conceptual framework that integrates Hegel’s inferentialism with Bayesian analysis and epistemic justice indices to offer a new approach for understanding complex decision processes in healthcare settings. The paper develops theoretical constructs such as the Decision Quality Index (DQI) and the Epistemic Justice Quotient (EJQ), which aim to quantitatively assess leadership effectiveness and ethical considerations in decision-making (...) processes. The discussion includes mathematical proofs for these proposed indices and examines the potential practical implications of this integrated approach, emphasizing its theoretical potential to improve healthcare leadership through more inclusive and evidence-based practices. This work provides a conceptual foundation for future empirical research in healthcare leadership and decision-making. (shrink)

Phenomenological psychology has emphasized that experience as it is immediately "given" to the experiencing individual is an appropriate subject matter for psychological investigation. Consideration of the methodological implications of this stance suggests that certain text analytic and cluster analytic methods could be used to discern the identifying properties of different types of experience. We present results of a study in which textual analysis was used to identify recurrent properties of participants' verbal accounts of their experience, cluster analysis was (...) used to classify participants' accounts according to the similarity of their profiles of properties, and the resulting clusters were examined for their more or less characteristic prpoerties. Using these methods, three distinct types of experience of a Renaissance painting were identified and described. This demonstration of numerically aided phenomenological methods indicates the compatibility of rigorous and sensitive descriptions of experiential accounts. (shrink)

Mathematics educators are constantly searching for new and innovative approaches to teaching with the goal of improving student learning outcomes. This phenomenological study aimed to describe the lived experiences of mathematics teachers in implementing the Claim-Evidence-Reasoning (CER) Approach. The study was participated by 13 mathematics teachers, and data were gathered through in-depth interviews and a focus group discussion. Thematic analysis was used to interpret the data guided by Colaizzi’s method. Findings revealed that participants experienced struggles in instruction and assessment, adapted (...) growth mindset and employed support systems, had milestones in the implementation of the CER Approach, and were open to continuous personal and professional development. Furthermore, the teachers’ resiliency and adaptability in the process and the school’s support helped overcome the issues encountered in implementing the CER Approach. The findings imply that the use of CER Approach have the potential to improve the reasoning skills of students in mathematics. Further, it is recommended that mathematics teachers continue to utilize the approach and that educational institutions should provide proper training to teachers through In-Service Training (INSET). (shrink)

In their seeking of simplicity, scientists fall into the error of Whitehead's "fallacy of misplaced concreteness." They mistake their abstract concepts describing reality for reality itself--the map for the territory. This leads to dogmatic overstatements, paradoxes, and mysteries such as the deep incompatibility of our two most fundamental physical theories--quantum mechanics and general relativity. To avoid such errors, we should evoke Whitehead's conception of the universe as a universe-in-process, where physical relations perpetually beget new physical relations. Today, the most promising (...) interpretations of quantum mechanics exemplify this Whiteheadian idea, formalizing physical systems, and the universe itself, as ongoing histories of actualizations of potential states, where actual states and potential states exist in mutually implicative relation as two separate categories of reality—an idea first proposed by Aristotle and rehabilitated by Heisenberg. In these interpretations, the classical conception of a history as a derivative story about fundamental physical objects is reversed: the classical physical object becomes the derivative story about fundamental histories of quantum states. The consistent histories interpretation of Robert Griffiths and the decoherent histories interpretation of Roland Omnès are cardinal examples of this approach to quantum mechanics. Another example, the relational realist interpretation, begins with the decoherent histories approach and formalizes it explicitly as a Whiteheadian interpretation, taking his “algebraic method” and applying it to quantum mechanics via algebraic topology. This branch of mathematics can be thought of as a “de-concretized” geometry in that it focuses only on the logical relations among objects and regions (and relations of these relations) rather than the fixed magnitudes of lines, planes, and other such rigid intervals. It has all the robust logical structure of geometry yet allows for an elasticity of relations that makes topological mathematical structures inherently immune misplaced concretization. (shrink)

Shame’s conceptualization is one of the most challenging discussions in psychological studies. This challenge creates many ambiguities for both psychologists and theologians in Eastern cultures especially Iranian-Islamic culture. This paper discusses the dominant psychological researches about shame and tries to compare the outcome of these researches with Abdulkarim Soroush’s theological-moral view about shame. This comparison, we believe, helps us to understand their different approaches for further psychological and theological studies. We used descriptive-analytical method for the current research and our resources (...) were mostly psychological books, article and set of Soroush’s lectures. Also use the soroush books of Gods ethics for showing the soroush views in moral epistemology We conclude that although psychologists and theologians are talking about the same terminology, i.e. shame, they are coming from totally different planet in different paradigms with different philosophical-psychological assumptions. The different assumptions is showed for example about type of problem representation, innate view about shame, attention to ontological component of shame, truthful of shame, attention to virtue ethics of shame and methodology of investigation of concept and function of shame. This philosophical and psychological assumptions is discussed. (shrink)

In the article the main trends of modern philosophical theology are considered in the perspective of methodological tasks. Based on the diversity of the post-secular philosophical situation, the place of theology oft en turns out to be not only in the series of theological disciplines, but also acquires features of interdisciplinarity. Theological studies aimed at solving the problems of humanity, history, and time, combine hermeneutics and philosophical anthropology, philosophy of language and psychological methods, oft en becoming an experimental space (...) for applying of humanitarian approaches. In the paper the ideas of theologians and philosophers of the Bultmann and post-Bultman periods are compared. (shrink)

In fMRI research, the goal of correcting for multiple comparisons is to identify areas of activity that reflect true effects, and thus would be expected to replicate in future studies. Finding an appropriate balance between trying to minimize false positives (Type I error) while not being too stringent and omitting true effects (Type II error) can be challenging. Furthermore, the advantages and disadvantages of these types of errors may differ for different areas of study. In many areas of social neuroscience (...) that involve complex processes and considerable individual differences, such as the study of moral judgment, effects are typically smaller and statistical power weaker, leading to the suggestion that less stringent corrections that allow for more sensitivity may be beneficial, but also result in more false positives. Using moral judgment fMRI data, we evaluated four commonly used methods for multiple comparison correction implemented in SPM12 by examining which method produced the most precise overlap with results from a meta-analysis of relevant studies and with results from nonparametric permutation analyses. We found that voxel-wise thresholding with family-wise error correction based on Random Field Theory provides a more precise overlap (i.e., without omitting too few regions or encompassing too many additional regions) than either clusterwise thresholding, Bonferroni correction, or false discovery rate correction methods. (shrink)

Hintikka considers that the “Transcendental Deduction” includes finding the role that concepts in the effort is meant by human activities of acquiring knowledge; and it affirms that the principles governing human activities of knowledge can be objective rules that can become transcendental conditions of experience and no conditions contingent product of nature of human agents involved in the know. In his opinion, intuition as it is used by Kant not be understood in the traditional way, ie as producer of mental (...) images, but rather as that which the mind represents an individual. To support this interpretation refers to the lessons of Kant´s Logics, to individuality space time and the thesis, submitted the winning essay in 1764, characterizing the mathematical method by the use of particular representatives of general concepts. Thus, his exegesis considers the Kantian conceptions of the “Doctrine of Method” not later conceptions, as traditionally interpreted, but prior conceptions to the processing of “Transcendental Aesthetic”. This article reconstructs some of their arguments that eventually will equal the Kantian intuition with the Euclidean ecthesis. (shrink)

In the practical philosophy of the Discours de la Méthode, before the theoretical metaphysics of Part Four and the Meditationes, Descartes gives us an inductive argument that his method, the procedure and cognitive psychology, is veracious at its inception. His evidence, akin to his Scholastic predecessors, is God, a maximally perfect being, established an ontological foundation for knowledge such that reason and nature are isomorphic. Further, the method, he tells us, is a functional definition of human reason; that is, (...) like other rationalists during this period, he holds the structure of reason maps onto the world. The evidence for this thesis is given in what I call the groundwork to Descartes’ philosophical system, essentially the first half of the Discours, where, through a series of examples in the preamble of Part Two, he, step-by-step, ascends from the perfection of artifacts through the imposition of reason to the perfection of a constituent’s use of her cognitive faculties, to God perfecting and ordering reality. Finally, he descends, establishing the structure of human reason, which undergirds and entails the procedure of the method. (shrink)

This study aimed to determine the relationship between academic performance and students’ perceptions in learning Calculus during distance learning modality. Learning Calculus is part of developing students' Mathematics skills and abilities towards enhancing STEM education in Senior High School. Thirty-five (35) STEM students were purposively sampled at a public school in Davao Region, Philippines. These students took up Pre-Calculus and Basic Calculus during pandemic. This study used a quantitative research design, particularly the descriptive-correctional method, to analyze the collected data. Based (...) on the result, the level of students’ perceptions was positive, while the level of academic performance was very satisfactory. Moreover, no significant correlation exists between students’ perceptions and academic performance in learning calculus on distance learning. This implies that students can perform well regardless of their perceptions in learning Calculus, in both Pre- Calculus and Basic Calculus. However, further assessment needs to be done in their Mathematics subjects at the Tertiary level since the modality used was not face-to-face. Appropriate action may be considered based on the assessment result, such as bridging courses or tutorial sessions. (shrink)

We know very little about mathematical skepticism in modem times. Imre Lakatos once remarked that “in discussing modem efforts to establish foundations for mathematical knowledge one tends to forget that these are but a chapter in the great effort to overcome skepticism by establishing foundations for knowledge in general." And in a sense he was clearly right: modem thought — with its new discoveries in mathematical sciences, the mathematization of physics, the spreading of Pyrrhonist doctrines, the centrality of epistemological foundationalism (...) and the diffusion of the geometrical method in philosophy — was the most natural arena in which skepticism and mathematics could confront each other. The problem remains, however, that no investigation of the whole topic has yet been attempted. Thus, as far as we know, mathematical certainties should have clashed with skeptical doubts, but whether and to what extent there was indeed a historical debate on mathematical skepticism in modern thought remains to be ascertained. (shrink)

Famously, in the essay Inquiry Concerning the Distinctness of the Principles of Natural Theology and Morality (Prize Essay), Kant attempts to distance himself from the Wolffian model of philosophical inquiry. In this respect, Kant scholars have pointed out Kant’s claim that philosophy should not imitate the method of mathematics and his appeal to Newton’s “analytic method.” In this article, I argue that there is an aspect of Kant’s critique of the Wolffian model that has been neglected. Kant presents a powerful (...) attack of the idea that philosophy should proceed through the analysis of concepts and argues that we should give up the aim of arriving at “complete” concepts as one of its fundamental desiderata. Importantly, this attack of philosophy conceived as conceptual analysis is distinctive and original if one compares it with Kant’s critique of analysis in the Critique of Pure Reason, which rests on the idea that analysis is insufficient to ground substantial metaphysical truths. I also make an additional point: Scholars have debated whether the appeal to Newton’s analytic method involves a form of empiricism. I submit that this debate is ill-conceived because Kant uses a notion of “given concepts” that is indeterminate with respect to their a priori or a posteriori status. (shrink)

Four modes of language acquisition and communication are presented translating ancient Indian expressions on human consciousness, mind, their form, structure and function clubbing with the Sabdabrahma theory of language acquisition and communication. The modern scientific understanding of such an insight is discussed. . A flowchart of language processing in humans will be given. A gross model of human language acquisition, comprehension and communication process forming the basis to develop software for relevantmind-machine modeling will be presented. The implications of such a (...) model to artificial intelligence and cognitive sciences will be discussed. The essential nature and necessity of a physics, communication engineering , biophysical and biochemical insight as both complementary and supplementary to using mathematical and computational methods in delineating the theory of language processing in humans is put forward. (shrink)

Zahra Khaza’I, Nasrin Ramadan The present paper reviews and analyzes Plato’s view on moral development. Although contemporary psychologists conducted the first scientific research on moral development and its relationship with intellectual development, historical evidence shows that it was Plato who first discussed the concept of moral development and its relationship with intellectual development. As a virtue-oriented philosopher, Plata explains his theory about moral and epistemic development through a normative perspective and regards moral development as the result of multilateral development of (...) man’s existential dimensions, while psychologists descriptively discuss about the way of mind development, man’s moral judgments and their interrelationships. Considering virtues as the thrust of his theory, Plato tries to promote personal character by using the methods which are based on suggestion, habit, imitating models and narrating exemplary narrations in low stages of education, and deal with the development of the power of thinking and vision through teaching mathematics and dialectic in higher stages, so that an individual will be capable to differentiate correct from incorrect and actualize the correct. The present paper seeks to study the nature of moral development in Plato’s view based on his moral and epistemic theory, and elaborate on the most important philosophical foundations, principles, factors and methods of his educational method. (shrink)

Robert Henman’s article, Can brain scanning and imaging techniques contribute to a theory of thinking? came to my attention recently. My own work over the years has included applications of mathematics in the biological sciences, collaboration in experimental work in biochemistry, as well as work in the philosophy of the biological sciences. Henman suggests something that, at present, would be out of the ordinary.

Research in ecology and evolutionary biology (evo-eco) often tries to emulate the “hard” sciences such as physics and chemistry, but to many of its practitioners feels more like the “soft” sciences of psychology and sociology. I argue that this schizophrenic attitude is the result of lack of appreciation of the full consequences of the peculiarity of the evo-eco sciences as lying in between a-historical disciplines such as physics and completely historical ones as like paleontology. Furthermore, evo-eco researchers have gotten (...) stuck on mathematically appealing but philosophi- cally simplistic concepts such as null hypotheses and p-values defined according to the frequentist approach in statistics, with the consequence of having been unable to fully embrace the complexity and subtlety of the problems with which ecologists and evolutionary biologists deal with. I review and discuss some literature in ecology, philosophy of science and psychology to show that a more critical methodological attitude can be liberating for the evo-eco scientist and can lead to a more fecund and enjoyable practice of ecology and evolutionary biology. With this aim, I briefly cover concepts such as the method of multiple hypotheses, Bayesian analysis, and strong inference. (shrink)

One notable component to look at in the teaching-learning process is the way the subject is taught because one way or another, students are greatly affected by it. Viewing students’ perspectives on the use of the different teaching methods, this study determined the frequency of use of these teaching methods and their level of satisfaction. Through a systematic investigation, the findings from a critical questionnaire administered to first-year BS Hospitality Management college students at Ifugao State University were analyzed (...) and summarized. The frequency of use of the indicated instructional strategies was shown to have a significant relationship with student satisfaction in this study. Furthermore, the data reveal a substantial difference in student satisfaction with instructional approaches utilized before and during the pandemic. Students, on the other hand, prefer the teaching techniques employed before the outbreak to those utilized during the pandemic. (shrink)

I characterize Bishop's constructive mathematics as an alternative to classical mathematics, which makes use of the actual infinity. From the history an accurate investigation of past physical theories I obtianed some ones - mainly Lazare Carnot's mechanics and Sadi Carnot's thermodynamics - which are alternative to the dominant theories - e.g. Newtopn's mechanics. The way to link together mathematics to theoretical physics is generalized and some general considerations, in particualr on the geoemtry in theoretical physics, are obtained.that.

Notwithstanding diverse opinions and debates about mixing methods, mixed methods research (MMR) is increasingly being used in sport and exercise psychology. In this paper, we describe MMR trends within leading sport and exercise psychology journals and explore critical realism as a possible underpinning framework for conducting MMR. Our meta-study of recent empirical mixed methods studies published in 2017–2019 indicates that eight (36%) of the 22 MMR studies explicitly stated a paradigmatic position (five drew on pragmatism, (...) two switched paradigms between qualitative and quantitative elements of the study, and one was situated in relativist-interpretivism). The remaining 14 (64%) studies did not report their underpinning research philosophical assumptions. Evaluating the merits and limitations of these positions against critical realist assumptions suggests that several paradigmatic disagreements are potentially reconcilable. These include (a) maintaining that ontological and epistemological concerns are important for methodological integrity of a mixed methods study; (b) switching between paradigms in the same study is problematic; and (c) refuting the qualitative-quantitative incommensurability thesis, therefore allowing mixed methods research without compromising philosophical coherence. From a critical realist position, we suggest that both quantitative and qualitative designs are justifiable in a mixed methods study because (1) they help corroborate, refine, or refute plausible explanations of phenomena (epistemological), but (2) with different methodologies utilised to perform different tasks in the same research design related to different psycho-social system features (ontological). We call for a collaborative engagement by researchers across paradigmatic positions to work towards the advancement of methodological pluralism in our research community. (shrink)

The component structures of two distinct neuropsychological systems are described. "System-Y" depends upon "system-X" which, on the other hand, can operate independently of system-Y. System-X provides a matrix upon which system-Y must operate, and, system-Y is transformed by the operations of system-X. In addition these neuropsychological structures reverberate in political history and in the cosmos. The most fundamental structure in the soul, in society, and in the cosmos, has the form of a conical spiral. It can be described mathematically as (...) an harmonic system and mythologically in terms of the birth, marriage and death of the divine-king. ;System-Y corresponds to the neocortex. System-X corresponds to the region below the cortex including the limbic brain. Many of the essential structures of system-Y are captured by Plato's image of the helmsman: orientation, locomotion, manual control and dexterity, visual guidance, verbal command, intention, and volition. System-X on the other hand has been systematically neglected by Western culture, beginning with Plato. ;The dissertation builds upon Yakovlev's distinction between "teleokinesis," "ectokinesis" and "endokinesis." "Teleokinesis" refers to goal-directed action in external space, and belongs to system-Y. Ectokinesis and endokinesis are components of system-X. "Endokinesis" refers to movements within the body. "Ectokinesis" refers to the emotions, which are expressions of endokinesis. The mechanics of ectokinesis is that of an harmonic or vibrational system, as is the mechanics of a musical instrument. ;Within a trance the structure of system-Y is temporarily altered, such that system-X enters the foreground of awareness. Because ectokinesis is analogous to music cultures inspired by trance experience understand the universe in terms of music. The structure of ectokinesis in a trance is that of a conical spiral. Plato inherited the mystical traditions of the ancient Near East but replaced the spiral of emotions with a spiral of ideas , by understanding the axis of the cone as the paradigmatic dimension, and the angular rotation of the spiral as the syntagmatic dimension, of language. Finally I explain how the mythology and political structure of theocratic society imitated the neuropsychological structures of trance experience. (shrink)

After 1945, when the Philosophical Investigations were largely finished, Wittgenstein spent his final years undertaking an intensive study of the grammar of our psychological concepts and the philosophical misinterpretations we often assign to them. In the article at hand I do not claim to fathom the full range of Wittgenstein’s thoughts on the philosophy of psychology even in the most general way. Rather it is my intention to shed some light on a diagnosis which he made for the (...) class='Hi'>psychology of his time. In Section 2 of this paper I would like to provide a brief sketch of what Wittgenstein considered to be the conceptual confusion prevalent in psychology and to suggest why he did not expect the methods of an experimental science to be successful in solving the problems that concern us in psychology. In Section 3 I’ll attempt to analyze how psychological concepts, according to Wittgenstein, might be construed in order to avoid any type of conceptual confusion. (shrink)

Medical diagnosis has been traditionally recognized as a privileged field of application for so called probabilistic induction. Consequently, the Bayesian theorem, which mathematically formalizes this form of inference, has been seen as the most adequate tool for quantifying the uncertainty surrounding the diagnosis by providing probabilities of different diagnostic hypotheses, given symptomatic or laboratory data. On the other side, it has also been remarked that differential diagnosis rather works by exclusion, e.g. by modus tollens, i.e. deductively. By drawing on a (...) case history, this paper aims at clarifying some points on the issue. Namely: 1) Medical diagnosis does not represent, strictly speaking, a form of induction, but a type, of what in Peircean terms should be called ‘abduction’ (identifying a case as the token of a specific type); 2) in performing the single diagnostic steps, however, different inferential methods are used for both inductive and deductive nature: modus tollens, hypothetical-deductive method, abduction; 3) Bayes’ theorem is a probabilized form of abduction which uses mathematics in order to justify the degree of confidence which can be entertained on a hypothesis given the available evidence; 4) although theoretically irreconcilable, in practice, both the hypothetical- deductive method and the Bayesian one, are used in the same diagnosis with no serious compromise for its correctness; 5) Medical diagnosis, especially differential diagnosis, also uses a kind of “probabilistic modus tollens”, in that, signs (symptoms or laboratory data) are taken as strong evidence for a given hypothesis not to be true: the focus is not on hypothesis confirmation, but instead on its refutation [Pr (¬ H/E1, E2, …, En)]. Especially at the beginning of a complicated case, odds are between the hypothesis that is potentially being excluded and a vague “other”. This procedure has the advantage of providing a clue of what evidence to look for and to eventually reduce the set of candidate hypotheses if conclusive negative evidence is found. 6) Bayes’ theorem in the hypothesis-confirmation form can more faithfully, although idealistically, represent the medical diagnosis when the diagnostic itinerary has come to a reduced set of plausible hypotheses after a process of progressive elimination of candidate hypotheses; 7) Bayes’ theorem is however indispensable in the case of litigation in order to assess doctor’s responsibility for medical error by taking into account the weight of the evidence at his disposal. (shrink)

This essay addresses the attitude of some leading Neo-Kantian philosophers toward scientific psychology and psychophysics. Early influential figures like Friedrich A. Lange counted Gustav T. Fechner’s psychophysical law among their allies in the rehabilitation of the Kantian standpoint. Later on, however, Neo-Kantian philosophers firmly rejected psychological measurement as a whole and harshly criticized the methods adopted by several psychologists of their time. For example, the Marburg mathematician and philosopher August Stadler reduced the validity of Fechner’s law to the (...) mere physiological sphere, and Hermann Cohen conceived the application of mathematical integration to human sensations as an inane enterprise. (shrink)

Curriculum integration is frequently promoted as a means of enabling deeper and more authentic learning, with Mathematics often considered a suitable subject for doing so. This review investigates which elements contribute to the effectiveness of Mathematics integration in secondary education. Teacher factors include attitudes towards integrative practices and knowledge of both disciplinary content and curriculum integration theory. Pedagogy factors concern utilising activities that best synthesise concepts from multiple subjects to enhance learning, especially projects. Institutional factors relate to curriculum and assessment (...) requirements as well as school-level variables such as access to planning time and professional development. Limitations in the research literature include a narrow focus on connecting Mathematics with scientific disciplines, a reliance on qualitative methods and small sample sizes, and unknown generalisability to education systems other than those in which studies were conducted. Even so, attempting to navigate the factors involved in effective curriculum integration with Mathematics appears worthwhile. (shrink)

In the early 1900s, Russell began to recognize that he, and many other mathematicians, had been using assertions like the Axiom of Choice implicitly, and without explicitly proving them. In working with the Axioms of Choice, Infinity, and Reducibility, and his and Whitehead’s Multiplicative Axiom, Russell came to take the position that some axioms are necessary to recovering certain results of mathematics, but may not be proven to be true absolutely. The essay traces historical roots of, and motivations for, Russell’s (...) method of analysis, which are intended to shed light on his view about the status of mathematical axioms. I describe the position Russell develops in consequence as “immanent logicism,” in contrast to what Irving (1989) describes as “epistemic logicism.” Immanent logicism allows Russell to avoid the logocentric predicament, and to propose a method for discovering structural relationships of dependence within mathematical theories. (shrink)

In elite sport, the advantages demonstrated by expert performers over novices are sometimes due in part to their superior physical fitness or to their greater technical precision in executing specialist motor skills. However at the very highest levels, all competitors typically share extraordinary physical capacities and have supremely well-honed techniques. Among the extra factors which can differentiate between the best performers, psychological skills are paramount. These range from the capacities to cope under pressure and to bounce back from setbacks, to (...) the knowledge of themselves, opponents, and the domain, which experts access and apply in performance. In the companion chapter on breadth and depth of knowledge in expert sport (see Chapter 11), we discussed the forms or kinds of knowledge deployed by elite athletes, and described some lines of research which seek to tap and study such expert knowledge (McPherson & MacMahon, 2008; McRobert, Ward, Eccles & Williams, 2011). In this chapter we focus more directly on questions about methods for measuring or more accurately assessing expert knowledge, in particular addressing a wider range of methods to help us understand what experts know. Suggesting that sport researchers can productively adopt and adapt existing qualitative methodologies for integration with more standard quantitative methods, we introduce and survey a number of areas of qualitative research in psychology. (shrink)

In his famous article “The Unreasonable Effectiveness of Mathematics in the Natural Sciences” Eugen Wigner argues for a unique tie between mathematics and physics, invoking even religious language: “The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve”. The possible existence of such a unique match between mathematics and physics has been extensively discussed by philosophers and historians of mathematics. Whatever the merits (...) of this claim are, a further question can be posed with regard to mathematization in science more generally: What happens when we leave the area of theories and laws of physics and move over to the realm of mathematical modeling in interdisciplinary contexts? Namely, in modeling the phenomena specific to biology or economics, for instance, scientists often use methods that have their origin in physics. How is this kind of mathematical modeling justified? (shrink)