The paper argues that the depiction of the Mediterranean coast of Africa in Ptolemy’s Geography was based on a source similar to the Stadiasmus of the Great Sea. Ptolemy’s and the Stadiasmus’ toponymy and distances between major points are mostly in good agreement. Ptolemy’s place names overlap with those of the Stadiasmus by 80%, and the total length of the coastline from Alexandria to Utica on Ptolemy’s map deviates from the Stadiasmus data by only 1% or 1.5%. A number (...) of serious disagreements between Ptolemy’s map and the Stadiasmus regarding the length of particular coastal stretches can be explained by assuming that Ptolemy had to tailor the distance data derived from periploi to his other sources, especially, to the longitudes of the key reference points, such as Cape Phyces, Cyrena, Berenica, Aesporis, Thena, and Carthage. A notable stretching and the subsequent contraction of the coast between Alexandria and Cyrenaica, as are exhibited by Ptolemy’s map relative to the Stadiasmus’ data, can be explained by assuming that several points on this coast were tied to the position of Crete, which was moved to the west being pushed by the westward shift of Rhodes. A sharp contraction of the two coastal stretches of the Great Sirte, oriented along the north-south direction, can be explained by Ptolemy’s erroneously underestimated value for the circumference of the Earth. The analysis of this contraction, as well as of the east-west stretching of the coast between Alexandria and Cyrene in angular terms relative to the modern map, makes it possible to assess the magnitude of Ptolemy’s error and to determine the length of his stade. This analysis shows that Ptolemy’s value for the circumference of the Earth must have been underestimated by approximately 20–27%, and Ptolemy’s stade must have been approximately 175–185 m length. Comparison of the Stadiasmus distance data with the modern map shows that the average length of the stade was close to 179 m or to the “common” stade of 185 m for the stretch between Alexandria and Berenice. (shrink)

I respond to Wes Sharrock and Rupert Read’s argument that we should not count very long supposed translations of very short sentences as translations. I cannot see that a length mismatch alone should disqualify a sentence from counting as a translation.

Growing technological advances in intelligent artifacts and bitter experiences of the past have emphasized the need to use and operate ethics in this field. Accordingly, it is vital to discuss the ethical integrity of having intelligent artifacts. Concerning the method of gathering materials, the current study uses library and documentary research followed by attribution style. Moreover, descriptive analysis is employed in order to analyze data. Explaining and criticizing the opposing views in this field and reviewing the related literature, it is (...) concluded that the proof of the ethical integrity of the intelligent artifacts is possible due to the specific features of these artifacts and their own moral system. (shrink)

This brief article presents the introduction and draft of the fundamental ideas developed at length in the book of the same title, which gives a challenging point of view about science and its history/philosophy/sociology. Science is in decline. After centuries of great achievements, the exhaustion of new forms and fatigue have reached our culture in all of its manifestations including the pure sciences. Our society is saturated with knowledge which does not offer people any sense in their lives. There (...) is a loss of ideals in the search for great truths and a shift towards an anodyne specialized industry. (shrink)

In a letter written in 1927, the French writer Romain Rolland asked Sigmund Freud to analyse the “oceanic feeling,” a religious feeling of oneness with the entire universe. I will argue that Rolland’s intentions in introducing the oceanic feeling to Freud were much more complex, multifaceted, and critical than most scholars have acknowledged. To this end, I will examine Rolland’s views on mysticism and psychoanalysis in his book-length biographies of the Indian saints Sri Ramakrishna and Swami Vivekananda, which he (...) wrote just after he mentioned the oceanic feeling to Freud in 1927. I will argue that Rolland’s primary intentions in appealing to the oceanic feeling in his 1927 letter to Freud—intentions less evident in his letters to Freud than in his biographies of Sri Ramakrishna and Vivekananda—were to challenge the fundamental assumptions of psychoanalysis from a mystical perspective and to confront Freud with a mystical “science of the mind” that he felt was more rigorous and comprehensive than Freud’s psychoanalytic science. (shrink)

Some philosophers think that life is worth living not merely because of the goods and the bads within it, but also because life itself is good. I explain how this idea can be formalized by associating each version of such of a view with a function from length of life to the value generated by life itself. Then I argue that every version of the view that life itself is good faces some version of the following dilemma: either (1) (...) good human lives are worse than very long lives wholly devoid of pleasure, desire-satisfaction, knowledge, or any other goods, or (2) very short lives containing nothing but suffering are worth living. Since neither result is plausible, we ought to reject the view that life itself is good. On the view I favor, any given life may be worth living because of the goods that it contains, but life itself is neutral. (shrink)

Development of the world economy bears numerous negative phenomena, and require constant need to rebalance socioeconomic interests of nations, transnational subjects, and individuals. Socialisation is an important and effective tool for balancing social and individual; however, despite socialisation is evolving rapidly, its scientific and practical potential is not duly uncovered. In the article theoretical and methodological foundations of socialisation of economy is surveyed in the context of globalisation, and etymology, explanations, scope, historical phases of development, theoretical aspects and practical forms (...) of use, consequences and prospects are analysed. The term «socialisation» was determined as a multidisciplinary, used in many scientific fields, increasingly involving various areas of research and is understood as inclusion, adaptation and development of human being in society. It was determined that the economy socialisation is implemented in different fields and semantic structures, contains a large number of methodological tools, is involved at all management levels, and is primarily identified with the increasing role of social component in the life of human resources. The assumptions were made about the future transformation of this category in line with the identified predictive trends. (shrink)

In this essay, we discuss Simona Ginsburg and Eva Jablonka’s The Evolution of the Sensitive Soul from an interdisciplinary perspective. Constituting perhaps the longest treatise on the evolution of consciousness, Ginsburg and Jablonka unite their expertise in neuroscience and biology to develop a beautifully Darwinian account of the dawning of subjective experience. Though it would be impossible to cover all its content in a short book review, here we provide a critical evaluation of their two key ideas—the role of Unlimited (...) Associative Learning in the evolution of, and detection of, consciousness and a metaphysical claim about consciousness as a mode of being—in a manner that will hopefully overcome some of the initial resistance of potential readers to tackle a book of this length. (shrink)

We attribute three major insights to Hegel: first, an understanding of the real numbers as the paradigmatic kind of number ; second, a recognition that a quantitative relation has three elements, which is embedded in his conception of measure; and third, a recognition of the phenomenon of divergence of measures such as in second-order or continuous phase transitions in which correlation length diverges. For ease of exposition, we will refer to these three insights as the R First Theory, Tripartite (...) Relations, and Divergence of Measures. Given the constraints of space, we emphasize the first and the third in this paper. (shrink)

There are few who would deny that P. F. Strawson’s “Freedom and Resentment” (1962) ranks among the most significant contributions to modern moral philosophy. Although any number of essays have been devoted to it, Pamela Hieronymi’s 'Freedom, Resentment, and the Metaphysics of Morals' is the first book-length study. The aim of Hieronymi’s study is to show that Strawson’s “central argument” has been “underestimated and misunderstood.” Hieronymi interprets this argument in terms of what she describes as Strawson’s “social naturalism”. Understood (...) this way, Hieronymi maintains, “the argument is powerful”. In what follows I argue that while Hieronymi’s discussion is stimulating and provides valuable insights into “Freedom and Resentment,” neither the interpretation advanced nor the social naturalist position that it describes is convincing. (shrink)

Kripke maintains that one who stipulatively introduces the term ' one meter' as a rigid designator for the length of a certain stick s at time t is in a position to know a priori that if s exists at t then the length of s at t is one meter. Some (e.g., Soames 2003) have objected to this alleged instance of the contingent a priori on the grounds that the stipulator's knowledge would have to be based in (...) part on substantive metalinguistic knowledge. I examine Soames's argument for the a posteriority of the relevant metalinguistic knowledge, and I argue that its main premise is false. (shrink)

The idea that there could be spatially extended mereological simples has recently been defended by a number of metaphysicians (Markosian 1998, 2004; Simons 2004; Parsons (2000) also takes the idea seriously). Peter Simons (2004) goes further, arguing not only that spatially extended mereological simples (henceforth just extended simples) are possible, but that it is more plausible that our world is composed of such simples, than that it is composed of either point-sized simples, or of atomless gunk. The difficulty for these (...) views lies in explaining why it is that the various sub-volumes of space occupied by such simples, are not occupied by proper parts of those simples. Intuitively at least, many of us find compelling the idea that spatially extended objects have proper parts at every sub-volume of the region they occupy. It seems that the defender of extended simples must reject a seemingly plausible claim, what Simons calls the geometric correspondence principle (GCP): that any (spatially) extended object has parts that correspond to the parts of the region that it occupies (Simons 2004: 371). We disagree. We think that GCP is a plausible principle. We also think it is plausible that our world is composed of extended simples. We reconcile these two notions by two means. On the one hand we pay closer attention to the physics of our world. On the other hand, we consider what happens when our concept of something—in this case space—contains elements not all of which are realized in anything, but instead key components are realized in different features of the world. (shrink)

The phenomenology of a priori intuition is explored at length (where a priori intuition is taken to be not a form of belief but rather a form of seeming, specifically intellectual as opposed to sensory seeming). Various reductive accounts of intuition are criticized, and Humean empiricism (which, unlike radical empiricism, does admit analyticity intuitions as evidence) is shown to be epistemically self-defeating. This paper also recapitulates the defense of the thesis of the Autonomy and Authority of Philosophy given in (...) the author’s “A Priori Knowledge and the Scope of Philosophy” (Philosophical Studies, 1996). (shrink)

Effective quantum field theories are effective insofar as they apply within a prescribed range of length-scales, but within that range they predict and describe with extremely high accuracy and precision. The effectiveness of EFTs is explained by identifying the features—the scaling behaviour of the parameters—that lead to effectiveness. The explanation relies on distinguishing autonomy with respect to changes in microstates, from autonomy with respect to changes in microlaws, and relating these, respectively, to renormalizability and naturalness. It is claimed that (...) the effectiveness of EFTs is a consequence of each theory’s autonomyms rather than its autonomyml.1Introduction2Renormalizability2.1Explaining renormalizability3Naturalness3.1An unnatural but renormalizable theory4Two Kinds of Autonomy5The Effectiveness of Effective Quantum Field Theories6Conclusion. (shrink)

ABSTRACT: A report on the pioneering of a new pedagogy designed to challenge students to use and improve their memory, increase their awareness of logical fallacies and tacitly embedded contradiction(s) and sensitize them to the deeply symbolic nature of thought in all its expressions (math, logos, music, picture and motor skills), as created, by the author, from in situ research at a senior level (ESL) course in Storytelling at one of East Asia’s premiere second languages university, and from teaching children (...) in several university summer programs. -/- As a Visiting Professor of Foreign Languages, I recently had a glorious opportunity to innovate curriculum and teaching techniques in an East Asian university classroom. Under the auspices of teaching senior level thematic courses in English as a Foreign Language, or more specifically, “storytelling,” I was blessed with the opportunity to innovate both on the level of curriculum and pedagogy. -/- But let me backtrack to set up my story from the start. All of this began in a children’s ESL class at a private language institute where I was given some newly formed intermediate level English classes for middle school students on a new campus that had yet to form a library. While waiting for my standard textbooks to arrive I began innovating with one of my own childrens’ stories titled The Tale of the Purple People Eater (a three page mythic story written in the late 90s. Please see appendix). In working with this story, because I envisioned presenting it orally (from memory) at first as a way to introduce students to memory arts exercises, I was compelled to read it over many times, which, to my surprise revealed a troubling feature: it was riddled with contradictions in every paragraph. At any rate, with the middle school aged students I only touched on this feature very briefly and focused more on language acquisition exercises. The tale nevertheless impressed upon me this bizarre aspect of language where a story can appear naturally cogent on the surface, but can also come apart at the seems if taken “literally.” Hence, later while teaching Storytelling in university with a rather dry textbook, I was invited to supplement the class with exercises of my own. Here I was curious to try work shopping the ‘Tale of The Purple People Eater’ with young adults. This involved three stages: 1) Memory work — or engaging with the unpublished story orally; 2) Exploring the contradictory nature of language and thought; 3) Probing the “deeply-symbolic” nature of meaning. -/- Of course, all of these levels have a long history of precedence in our civilization. Memory arts — though defunct now — had been highly developed in the ancient world, not least among bards who performed oral recitations from memory of the entire Illiad and Odyssey. Dialectics — now transmuted into the debate for show and prizes — had a deeper epistemological mission to discover truth and achieve enlightenment (i.e. Socrates, Boethius and St-Augustine). And if it could not be done via contradictory-prone rationality, it would do it by re-attaching or re-membering broken meanings via the sym-bol (“throwing together”), as per our lineage of platonic poets who created a world compelling enough to make us ask where Jesus went during his (underworld journey) three days in the crypt? Or, and, on what terrain did Dante travel? -/- Lets look at all three: Memory work can be very simple: it amounts to an oral recitation of the story in class followed by a homework assignment wherein the students are asked to reproduce the story (in writing) from memory. They can then compare ‘notes’ in class and by working in groups attempt to produce one version per group of the story in question. In this way we invite them to engage with ‘live’ stories as did our oral-history ancestors. Likewise, by writing it down (“for the first time”) they are re-living the act of our first bardic writer(s) who wove together a collection of competing versions of a popular legend to produce a standard. Very primal work! If Plato thought that writing meant the end of memory in his time, imagine what smart phones are doing to memory now. Contradictions too are easy to work with. It suffices to project a written version of the teacher’s story on the classroom screen — no note taking! — and let students have ample time to read it over and over, at first to check with their own memorized version, and later to seek out logical contradictions in the prose. Any way to ‘repair’ the story? Does it lose credibility because of contradictions? Can it be real without being true? Can it be true without being real? Do reality (L. res = matter) and truth (Gk. a-leithea = un-forgetting) etymologically speaking, share the same domain? -/- Further, if below the surface-meaning the story falls apart, its apparent mythical meaning immediately is called into question. This is a good time to ask the students to propose a (deeper) interpretation. On the surface, the obvious meaning of the Tale of the Purple People Eater, a world in which a purple ogre predatorily feasted on the purple race of the United Peoples of Benetton (a multi-racial nation representing every “skin colour of the rainbow”), revolves around racism, and indeed everyone save for one, thought the story was about racism. -/- I, the author, had the challenge of discovering the deeper meaning of my own story. Because it was written inspirationally one morning, the way we might record the memory of a dream from the night before in a journal, I also was ignorant of the story’s meaning. As luck would have it, a few days before I was to give my class feedback on their interpretations, a meditation on the color “purple” led to the book “The Color Purple” which I first heard of from a friend who, in my reply to a question about the book she was reading (in 1985), summarized it succinctly in one sentence about a black woman’s sexual awakening and liberation. I quickly got the book from the university library as well as the film which I viewed several times before my next class. -/- To my utter amazement, after reading the Tale of the Purple People Eater in light of the Color Purple and adjusting the meaning of color in the tale from the color of people’s complexion to the “color of people’s souls” (to commensurate with the film) as depicted in their clothing and other accoutrements (e.g. automobiles) as reflective of the “health of their souls” (white for revolt, purple for majesty, etc…) where the enslaved Celie is surrounded by drab lifeless colors in the beginning of the film in contrast to the liberated woman she has become in the end of the story symbolized by the extraordinary intensity of the purple shawl that bedecks her like an African queen, the tale can be considered, in part, as a kind of back story of the inner evolution of the book’s and film’s protagonist. -/- Many other cross-polenised metaphors come to the fore: Hippocrates in the tale is the mail man in the film; St-Yves anti-ageing gel is a metaphor for remaining in “childhood (sexual) slavery”; the Ex-Thrax vaccine is the spiritual laxative in the form of letters from Africa (from Ex-Lax and Thrace, a “wild place”) that eases Celie out of her yoke; the egg-shaped conference table with the pointy end in the tale is the kitchen table in the last meeting where Celie threatens her husband with the pointy end of the knife in the film… -/- Of course, the students could not be expected to decode the meaning of a story of this nature whose collective unconscious connotations the author himself had to go to great lengths to excavate almost like a detective of the subconscious. What was important here was the shared engagement between mind and narrative and how it acted as a vehicle for 1) re-membering, 2) becoming aware that all language is a metaphorical cover and 3) that the deep symbol and fused metaphor are divided not by external time and space but by external reality (in the Latin sense, res) and internal truth (in the Greek sense, aleithea). Myth then, in its highest meaning is a hybrid form (of these two) of narrative. Hence both parts real and true. (shrink)

In this article, I attempt to provide a complete and exhaustive list of all of the offices and major political roles proposed within the constitution of Magnesia, detailing the title of the office, number of offices, method of appointment, age or gender restrictions, length of term, and explicit responsibilities assigned to that office. This tabulation is intended to be useful for new readers of the Laws and to scholars of various methodological approaches interested in the political arrangements of Magnesia.

This book-length essay was written in the late 1970s at a time when human damage to the natural environment was becoming a topic of concern. Since then this damage has become a catastrophe and the book's message even more pertinent. Its argument was that while the problem of the environment is new and clear, the conceptual tools we use to understand it are old and confused. The discussion of humankind's deleterious effect on the environment was and still is largely (...) conducted through the lens of 'man and nature.' Nature however is an idea, not an objective entity, and one with a long and tortuous history. 'The Meaning of Nature' though in retrospect somewhat grandiosely titled is an extended conceptual analysis of what 'nature' has meant in selected historical eras, what it means today, and what work it has performed well and less well. (shrink)

Many mathematicians have cited depth as an important value in their research. However, there is no single widely accepted account of mathematical depth. This article is an attempt to bridge this gap. The strategy is to begin with a discussion of Szemerédi's theorem, which says that each subset of the natural numbers that is sufficiently dense contains an arithmetical progression of arbitrary length. This theorem has been judged deep by many mathematicians, and so makes for a good case on (...) which to focus in analyzing mathematical depth. After introducing the theorem, four accounts of mathematical depth will be considered. (shrink)

Newton’s impact on Enlightenment natural philosophy has been studied at great length, in its experimental, methodological and ideological ramifications. One aspect that has received fairly little attention is the role Newtonian “analogies” played in the formulation of new conceptual schemes in physiology, medicine, and life science as a whole. So-called ‘medical Newtonians’ like Pitcairne and Keill have been studied; but they were engaged in a more literal project of directly transposing, or seeking to transpose, Newtonian laws into quantitative models (...) of the body. I am interested here in something different: neither the metaphysical reading of Newton, nor direct empirical transpositions, but rather, a more heuristic, empiricist construction of Newtonian analogies. Figures such as Haller, Barthez, and Blumenbach constructed analogies between the method of celestial mechanics and the method of physiology. In celestial mechanics, they held, an unknown entity such as gravity is posited and used to mathematically link sets of determinate physical phenomena (e.g., the phases of the moon and tides). This process allows one to remain agnostic about the ontological status of the unknown entity, as long as the two linked sets of phenomena are represented adequately. Haller et. al. held that the Newtonian physician and physiologist can similarly posit an unknown called ‘life’ and use it to link various other phenomena, from digestion to sensation and the functioning of the glands. These phenomena consequently appear as interconnected, goal-oriented processes which do not exist either in an inanimate mechanism or in a corpse. In keeping with the empiricist roots of the analogy, however, no ontological claims are made about the nature of this vital principle, and no attempts are made to directly causally connect such a principle and observable phenomena. The role of the “Newtonian analogy” thus brings together diverse schools of thought, and cuts across a surprising variety of programs, models and practices in natural philosophy. (shrink)

Twenty years ago, Richard Boyd suggested that physicalism could be formulated by appeal to a notion of realization, with no appeal to the identity of the non-physical with the physical. In (Melnyk 2003), I developed this suggestion at length, on the basis of one particular account of realization. I now ask what happens if you try to formulate physicalism on the basis of other accounts of realization, accounts due to LePore and Loewer and to Shoemaker. Having explored two new (...) formulations of physicalism, I conclude that my 2003 formulation remains the most promising. (shrink)

In the past few years, social epistemologists have developed several formal models of the social organisation of science. While their robustness and representational adequacy has been analysed at length, the function of these models has begun to be discussed in more general terms only recently. In this article, I will interpret many of the current formal models of the scientific community as representing the latest development of what I will call the ‘Kuhnian project’. These models share with Kuhn a (...) number of questions about the relation between individuals and communities. At the same time, they also inherit some of Kuhn’s problematic characterisations of the scientific community. In particular, current models of the social organisation of science represent the scientific community as essentially value-free. This may put into question both their representational adequacy and their normative ambitions. In the end, it will be shown that the discussion on the formal models of the scientific community may contribute in fruitful ways to the ongoing debates on value judgements in science. (shrink)

This paper sought to state in a concise and comparatively informal, unsystematic, and more accessible form the more technical approach the author developed during a research fellowship in 1974-75 at the Max-Planck-Institut in Starnberg, Germany. ●●●●● The ideas presented in this paper are more fully developed in later publications by the author which are listed in the two-page addendum to this paper. ●●●●● UPDATED NOTE TO THE READER - December, 2021 ●●●●● Readers will find a more fully developed position than (...) was formulated in this 1976 paper in the author's book-length study, CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning. ●●●●● The book is available in a printed edition, ISBN 978-0-578-88646-6, from online booksellers such as Barnes & Noble, Amazon, and through independent bookstores. The book is also available as a freely downloadable _corrected second edition_ eBook, DOI: 10.5281/zenodo.5458352, through PhilSci, PhilPapers, HAL, and other online archives. ●●●●● In addition to the above-mentioned book, readers may find "A Primer on Bartlett's CRITIQUE OF IMPURE REASON" (DOI: 10.5281/zenodo.5789848) to be useful as a guide to the nearly 900-page CRITIQUE. The primer is available as a free download through PhilPapers. ●●●●●. (shrink)

Paper presented at the Heidegger Circle 2011. Although Aristotle’s influence on young Heidegger’s thought has been studied at length, such studies have almost exclusively focused on his interpretation of Aristotle’s ethics, physics and metaphysics. I will rather address Heidegger’s appropriation of Aristotle’s ontology of life. Focusing on recently published or recently translated courses of the mid 20’s (mainly SS 1924, WS 1925-26 and SS 1926), I hope to uncover an important aspect of young Heidegger’s thought left unconsidered: namely, that (...) Dasein’s existential structures – Befindlichkeit, Understanding and being-with-one-another through language – arose from his close reading of Aristotle’s ontology of life, of animal life. (shrink)

The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational methodology allowing one to execute numerical computations with infinities and infinitesimals is applied to study the Koch snowflake at infinity. Numerical computations with actual infinite and infinitesimal numbers can be executed on the Infinity Computer being a new supercomputer patented in USA and (...) EU. It is revealed in the paper that at infinity the snowflake is not unique, i.e., different snowflakes can be distinguished for different infinite numbers of steps executed during the process of their generation. It is then shown that for any given infinite number n of steps it becomes possible to calculate the exact infinite number, Nn, of sides of the snowflake, the exact infinitesimal length, Ln, of each side and the exact infinite perimeter, Pn, of the Koch snowflake as the result of multiplication of the infinite Nn by the infinitesimal Ln. It is established that for different infinite n and k the infinite perimeters Pn and Pk are also different and the difference can be infinite. It is shown that the finite areas An and Ak of the snowflakes can be also calculated exactly (up to infinitesimals) for different infinite n and k and the difference An − Ak results to be infinitesimal. Finally, snowflakes constructed starting from different initial conditions are also studied and their quantitative characteristics at infinity are computed. (shrink)

In the world according to Hume, people are complicated creatures, with convoluted, often contradictory characters. Consider, for example, Hume's controversial assessment of Charles I: "The character of this prince, as that of most men, if not of all men, was mixed .... To consider him in the most favourable light, it may be affirmed, that his dignity was free from pride, his humanity from weakness, his bravery from rashness, his temperance from austerity, his frugality from avarice .... To speak the (...) most harshly of him, we may affirm, that many of his good qualities were attended with some latent frailty, which, though seemingly inconsiderable, was able, when seconded by the extreme malevolence of his fortune, to disappoint them of all their influence: His beneficent disposition was clouded by a manner not very gracious; his virtue was tinctured with superstition; his good sense was disfigured by a deference to persons of a capacity inferior to his own; and his moderate temper exempted him not from hasty and precipitate resolutions." This sketch shows Charles in all his complexities, with his virtues, near virtues, and contradicting virtues. I have quoted it at length because it is hard to summarize without losing the subtleties that lie within it. Hume's moral theory is based fundamentally on judgments of character, 2 so those subtleties are important to his view. The character sketches that pervade the.. (shrink)

Scholarly debates on the Critique of Pure Reason have largely been shaped by epistemological questions. Challenging this prevailing trend, Kant's Reform of Metaphysics is the first book-length study to interpret Kant's Critique in view of his efforts to turn Christian Wolff's highly influential metaphysics into a science. Karin de Boer situates Kant's pivotal work in the context of eighteenth-century German philosophy, traces the development of Kant's conception of critique, and offers fresh and in-depth analyses of key parts of the (...) Critique of Pure Reason, including the Transcendental Deduction, the Schematism Chapter, the Appendix to the Transcendental Analytic, and the Architectonic. The book not only brings out the coherence of Kant's project, but also reconstructs the outline of the 'system of pure reason' for which the Critique was to pave the way, but that never saw the light. (shrink)

Temporary workers stand to gain from temporary migration programs, which can also benefit sender and recipient states. Some critics of temporary migration programs, however, argue that failing to extend citizenship rights or a secure pathway to permanent residency to such migrants places them in an unacceptable position of domination with respect to other members of society. We shall argue that access to permanent residency and citizenship rights should not be regarded as a condition for the moral permissibility of such programs. (...) Instead we will focus on the essential protections that must be extended to all migrant workers, irrespective of the length of their migration project. (shrink)

Purpose. This article is devoted to the case study of relevant linguacultural stereotypes of the particular organization’s managerial culture and based on corresponding results the inquiry of the discourses formation features associated with the lexico-semantic meanings dispersion of (Foucault). -/- Methods and Procedure of Research. Top managers of a large Ukrainian enterprise (67 respondents) were asked to arbitrarily describe the following concepts – “manager”, “subordinate”, “managerial style”. Each concept was differentiated according to the principle of the lexico-semantic opposition (“productive – (...) counterproductive”). The obtained set of texts was lemmatized and a frequency analysis of the lemmas was carried out as well. Collocations were also evaluated, in particular, repeated n-grams were identified. In the further analysis were used all detected n-grams and those lemmas, the observed frequencies of which statistically significantly exceeded the expected ones. -/- Results. Discourse formation features are determined by the paradigmatic relations of lexico-semantic units (words) and their semantic linear compatibility. The paradigmatic dispersion of a discourse is represented by the quality of connections between lemmas according to the criterion of the paradigm types to be found. Also informative is the assessment of the lemmas number (granularity of the discourse) and the spectrum diversity of paradigmatic relations in the discourse. These parameters reflect the properties of homogeneity/complexity of discourse meanings dispersion. The syntagmatic dissemination of discourse is manifested by the features of the words semantic linear interrelationship in each n-gram. This parameter reflects the quality of rationalizations (verbal-logical chains) associated with the corresponding discourses. The length of n-grams (the number of words) is also indicative – the higher n, the more differentiated the discourse is and vice versa. Matching the words semantics in n-grams with lemmas allows one to draw a conclusion regarding the internal consistency (integration) of the discourse. -/- Conclusions. Psycholinguistic tools can be effectively used in an organizational phenomena study. In particular, the frequency analysis of lemmas, their lexico-semantic evaluation, as well as the qualitative analysis of n-grams in the problem-targeted texts of respondents allows one to solve applied research issues related to the assessment of current linguacultural trends in an organization and understanding their possible causes. Managerial culture, as a linguacultural phenomenon, is represented by a set of stably reproduced discourses in the process of the organization’s functioning. At the same time, discourses are constituted by the dispersion of meanings (words), which is being realized in two linguistic dimensions – paradigmatic and syntagmatic ones. (shrink)

Acronym is a very important word derivation mechanism usually applied to the new names of private or public institutions and they can be used to shorten the names of people, places, or institutions. This linguistic opportunity, which can be found in every language of the world, is quite useful in terms of its easiness and economic use of the languages. It provides the people ease of language use with reducing the length of some nouns and phrases and helping to (...) memorize them. It functions as phonemic and graphemic shortening. In Turkish, there are a great number of domestic acronyms (e.g. ÖSYM, PTT, and TBMM) and English/international ones as well (e.g. BBC, NATO, and NASA). The purpose of this study is to reveal if the Turkish speakers (L1) will prefer the articulation of English acronyms as in English or as in Turkish. A qualitative research method was preferred with using a quantitative data collection tool. 24 sentences, in each one was embedded an acronym, were prepared and given to 24 participants who were newly registered students (at the university). This study shows that these students pronounced nearly all of the acronyms as in English rather than Turkish. This is probably because they deem English more prestigious. The other reason might be that there is no consistency (or willingness) in terms of the utilisation of English acronyms among the public agencies alongside with the mass media and official institutions in Turkey. (shrink)

This is an impressive and important book about perception in Plato’s Timaeus, but most of its readers will probably be researchers who are interested in much broader questions about the dialogue. There is nothing deficient or lacking about this treatment of perception, but this book should be put alongside Thomas Johansen’s Plato’s Natural Philosophy and Sarah Broadie’s Nature and Divinity in the sense that this is, for all intents and purposes, a monograph about the whole Timaeus, even though it is (...) pitched as being focused on perception. There are only a few topics missing, such as the nature of the cosmic receptacle and psychic diseases. Virtually everything else, including the status of Timaeus’ so-called likely story, the generation of the lower gods, and the nature of bone, is discussed at length. (shrink)

Ormerod and Chronicle reported that optimal solutions to traveling salesperson problems were judged to be aesthetically more pleasing than poorer solutions and that solutions with more convex hull nodes were rated as better figures. To test these conclusions, solution regularity and the number of potential intersections were held constant, whereas solution optimality, the number of internal nodes, and the number of nearest neighbors in each solution were varied factorially. The results did not support the view that the convex hull is (...) an important determinant of figural attractiveness. Also, in contrast to the findings of Ormerod and Chronicle, there were consistent individual differences. Participants appeared to be divided as to whether the most attractive figure enclosed a given area within a perimeter of minimum or maximum length. It is concluded that future research in this area cannot afford to focus exclusively on group performance measures. (shrink)

An argument map visually represents the structure of an argument, outlining its informal logical connections and informing judgments as to its worthiness. Argument mapping can be augmented with dedicated software that aids the mapping process. Empirical evidence suggests that semester‐length subjects using argument mapping along with dedicated software can produce remarkable increases in students’ critical thinking abilities. Introducing such specialised subjects, however, is often practically and politically difficult. This study ascertains student perceptions of the use of argument mapping in (...) two large, regular, semester‐length classes in a Business and Economics Faculty at the University of Melbourne. Unlike the semester‐length expert‐led trials in prior research, in our study only one expert‐led session was conducted at the beginning of the semester and followed by class practice. Survey results conducted at the end of the semester, show that, with reservations, even this minimalist, ‘one‐shot inoculation’ of argument mapping is effective in terms of students’ perceptions of improvements in their critical thinking skills. (shrink)

The reason for physics’ failure to find a final theory of the universe is examined. Problems identified are: the lack of unequivocal definitions for its fundamental elements (time, length, mass, electric charge, energy, work, matter-waves); the danger of relying too much on mathematics for solutions; especially as philosophical arguments conclude the universe cannot have a mathematical basis. It does not even need the concept of number to exist. Numbers and mathematics are human inventions arising from the human predilection for (...) measurement. Following Aristotle, a single fundamental cause is proposed to explore the efficacy of using pure non-mathematical philosophy to explain the universe, contrary to current quantum physical views. The cause is taken as Time, which is then defined, surprisingly leading automatically to a definition of a three-dimensional space answering the question into what can a universe be placed (space before space seems non-sensical). This enables the philosophical arguments to derive a universal rule giving clear-cut descriptions (definitions) of force (both gravitational and electromagnetic), motion, energy, and particles. The formation of atomic nuclei and atomic properties together with an unexpected role for neutrinos follow. In particular, a Popper-test can be prepared by introducing the concept of measurement to allow the philosophy arguments to be tested in another discipline - mathematics. The solution agrees with human physical observations to a remarkable degree of accuracy, automatically explaining and predicting values for Planck’s and the fine-structure constants. Although mathematical, it is included as confirming the efficacy of philosophy in attaining a final theory. (shrink)

This paper considers a new problem for desire theories of well-being. The problem claims that these theories are implausible because they misvalue the effects of fleeting desires, long-standing desires, and fluctuations in desire strength on well-being. I begin by investigating a version of the desire theory of well-being, simple concurrentism, that fails to capture intuitions in these cases. I then argue that desire theories of well-being that are suitably stability-adjusted can avoid this problem. These theories claim that the average strength (...) of a desire, and the length of time that it is held, both influence the extent to which its fulfilment or frustration affects well-being. I end by considering whether value-fulfilment theories of well-being have a more attractive response to this problem. I find that these theories have significant downsides that make them unappealing alternatives. (shrink)

This article has been written about the explanation of the scientific affair. There are the philosophical circles that a philosopher must consider their approaches. Postmodern thinkers generally refuse the universality of the rational affair. They believe that the experience cannot reach general knowledge. They emphasize on the partial and plural knowledge. Any human being has his knowledge and interpretation. The world is always becoming. Diversity is an inclusive epistemological principle. Naturally, in such a state, the scientific activity is a non-sense (...) process. The postmodern world is a post-scientific world. Another collection of approaches to science belongs to the analytical philosophy. The main part of analytical philosophy context centers around language. Language is the center of the world. We can study the world through language. Language is the possibility of knowledge. If we overcome the language games, we can study the world accurately. Generally, at present, it seems that the rational thoughts are marginal points in the sea of irrationality. We can probably talk about an anarchistic epistemological situation. Another issue is the role of observation to form a scientific activity. In this situation, the question is whether the observation is the technique of gathering information or the final reference of original scientific analysis. In relation to this issue, the confrontation of science with the families and the categories of the objects is the main problem. For more than two thousand years, the totalitarian heritage of the Aristotelian logic has been the guideline of categorizations for the human being. In order to reach an inclusive and applicable result, we should categorize everything; but it is not really known that if the method of the world categorization is the same or not. The accordance of the conceptual categories with their extensions in the world is one of the main problems which has malfunctioned the scientific system. It is better to say that it has deactivated science. Moreover, there are many interpretations for each event based on its occurrence conditions. For example, consider a fever; In order to diagnose its cause, the most significant factor is the role of a physician. There is no sense in saying that the observation has diagnosed the cause of the fever. This is the observer that plays a determinative role. Another problem is the disputes between realism and instrumentalism. Instrumentalists believe that to form a theory, the concepts are just the tools of scientific researches. Based on realism, but we confront the concepts in the original way. This chaos causes the scientific system to collapse. Now the question is what the solution is. I would like to propose my scheme that is constructed based on a main principle: there is no occurrence in the world unless we can trace the effect of consciousness back in that occurrence. In other words, there is no accident in the world. One can argue that it is the main problem that the effects of consciousness ---if there is such a concept--- is not traceable in the world. An immediate response to this problem is an inefficient technique . The observation is a technique . It is not the method of interpretation. Some people argue that the empirical approach cannot lead us to an authentic criterion to know the world. Because there is no criterion for truth, and if there is probably such a criterion, we can obtain it via several ways. The solution to the first problem is simple. Any occurrence is a truth; even we suppose it as a partial truth. Therefore we can say we face a multi-facial world. It can be the solution of the second problem: if consciousness is essentially the origin of the world and all occurrences, we face consciousness as a unique truth; even its creations contradict each other. If there is no consciousness as a creator of the world and we cannot trace it back in all existents, then what should we do? If there is consciousness, why its creations contradict each other. Since consciousness is a will, it is able to decide in any situation it intends. The issue of contradictory consciousness intentions has a teleological aspect. We cannot judge its teleological substance at present. If we are able to believe that there is no consciousness at all, it will contradict the main practical principle in our lives. Every action that we take in our lives is conjoined with consciousness. We learn many things from many sources. The substance of our instincts and emotions can be questioned. It is true that, infact we cannot analyze our instincts and emotions, but we can discuss explicitly about the rational elements of the instincts. What are these elements? These elements are the quality of their appearance. The quality of instinct appearance is different among beings. The strength and the depth and length of these irrational qualities are different in all beings. What factors or factor cause the differences among these aspects? There is certainly a determinative factor. The same factor which determines the occurrence of any event. Even if we believe in partial knowledge, we must accept the confrontation of the occurrences. Thus it is not possible to refuse the occurrences as the reference unit of knowledge. In spite of the difference, every occurrence, even as a single occurrence, happens and we can regard it as the reference unit of knowledge. Then we can consider every occurrence as an occurred object. When an occurrence happens, then it is a determined object. Everywhere there is a determination, there is certainly a determiner. Why do not we encounter a multi-determinative consciousness? Because there are a few aspects of the unique super-consciousness. These aspects are motion and growth and the amount of constituent material in every being. In all over the world, the difference in these factors creates all differences. Thus we do not encounter the plural consciousness. Is the world birth accidental? Infact, there is no accident. The accident has no meaning in the world. As explained above, the constructing element of the world is the occurrence. An occurrence can be analyzed. Therefore, we should not talk about the accident until we are not able to analyze all phenomena. We can look at every subject from different points of view at present. Thus there is theoretically no possibility to say that a certain matter is the consequence of the accident. The accident is a popular and inexact concept that has no philosophical content. Moreover, the definition of consciousness versus its contradiction causes the collapse of all epistemological axioms. We can ask why we must not define other logical principles against their contradictions. Thinkers who deny the role of logic usually ignore the role of logic. They have not been able to deny the logical function to form an epistemological system because it is not an easy task. In this article some other issues were discussed, such as the consideration of restriction as a stable and firm foundation of knowledge instead of the Descartes cogito. In addition to these philosophical points some other issues were propounded such as the role of instrumental mechanism to form the new science and the great alterations in philosophy and history of Europe. Many issues threaten human civilization. The only way to deal with such threats is certainly to use scientific facilities. The scientific possibilities undoubtedly come from a complete and inclusive scientific theory. The present article is an attempt to explain the scientific affair in order to develop human achievement, however small. -/- . (shrink)

Objective: We aimed to investigate the image quality of paranasal sinus computed tomography (CT) scans obtained with the “Advanced intelligent Clear-IQ Engine” (AICE) software and ultra-low dose parameters in patients with prediagnosed rhinitis, sinusitis or nasal septum deviation. -/- Methods: The first 50 patients (31 men and 19 women, aged 18-70 years) who agreed to participate in our prospectively planned study were included in the study. Imaging of the patients was performed with a 160-slice multidetector CT device Canon Aquilion Prime (...) SP (Canon Medical Systems, Otawara, Japan). Tube voltage of 80 kV and tube current of 40 mA were chosen. The effective radiation dose (ED) was calculated based on the “dose-length product” (DLP) information of each patient. Evaluation of images was made on reformat images made with “AiCE Bone” filter in the axial and coronal planes. All images were double-blindly evaluated by 2 radiologists out of 5 points (5 = very good; 1 = not diagnostic). The visibility of 17 bilateral important anatomical landmarks examined on paranasal sinus CT was scored (0 = not visible; 2 = completely visible). In the evaluation of images, the agreement between radiologists was evaluated with Kappa statistics. -/- Results: The median ED value of the CT protocol was 0.015±0.001 mSv [range 0.012-0.017 mSv]. The overall image quality of the images in our study was interpreted as 4 (good) or 3 (moderate) for all patients. Inter-research agreement was 92%. Most of the anatomical landmarks evaluated were completely visible. Six (bilateral of three) anatomical landmarks could be partially visible in some patients. -/- Conclusion: Combining the ultra-low dose CT protocol and the AiCE reconstruction algorithm makes it possible to achieve very low ED values ​​in paranasal sinus CT scans and still obtain sufficient image quality in indications such as septum deviation and sinusitis. (shrink)

Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler's view of nature and Pythagorean geometry. The Laplace limit of Kepler's equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger's research enable a calculation of the electron magnetic moment anomaly. Considerations of fundamental lengths such as the charge radius of the proton and mass (...) ratios suggest some further foundational interpretations of quantum electrodynamics. (shrink)

Although Foucault’s 1979 lectures on The Birth of Biopolitics promised to treat the theme of biopolitics, the course deals at length with neoliberalism while mentioning biopolitics hardly at all. Some scholars account for this elision by claiming that Foucault sympathized with neoliberalism; I argue on the contrary that Foucault develops a penetrating critique of the neoliberal claim to preserve individual liberty. Following Foucault, I show that the Chicago economist Gary Becker exemplifies what Foucault describes elsewhere as biopolitics: a form (...) of power applied to the behavior of a population through the normalizing use of statistics. Although Becker’s preference for indirect intervention might seem to preserve the independence of individuals, under biopolitics individual liberty is itself the means by which populations are governed indirectly. In my view, by describing the history and ambivalence of neoliberal biopolitics, Foucault fosters a critical vigilance that is the precondition for creative political resistance. (shrink)

How are fundamental constants, such as c for the speed of light, related to particular technological environments? Our understanding of the constant c and Einstein’s relativistic cosmology depended on key experiences and lessons learned in connection to new forms of telecommunications, first used by the military and later adapted for commercial purposes. Many of Einstein’s contemporaries understood his theory of relativity by reference to telecommunications, some referring to it as “signal-theory” and “message theory.” Prominent physicists who contributed to it (Hans (...) Reichenbach, Max Born, Paul Langevin, Louis de Broglie, and Léon Brillouin, among others) worked in radio units during WWI. At the time of its development, the old Newtonian mechanics was retrospectively rebranded as based on the belief in a means of “instantaneous signaling at a distance.” Even our thinking about lengths and solid bodies, argued Einstein and his interlocutors, needed to be overhauled in light of a new understanding of signaling possibilities. Pulling a rod from one side will not make the other end move at once, since relativity had shown that “this would be a signal that moves with infinite speed.” Einstein’s universe, where time and space dilated, where the shortest path between two points was often curved and which broke the laws of Euclidean geometry, functioned according to the rules of electromagnetic signal transmission. For some critics, the new understanding of the speed of light as an unsurpassable velocity—a fundamental tenet of Einstein’s theory—was a mere technological effect related to current limitations in communication technologies. (shrink)

Introduction: Anatomy education known as being among the most significant components of medical education exists in the first and second semester lecture contents of medicine faculties. The considering of medicine faculty students viewpoints about anatomy education is important for improving anatomy education and teaching methods. In addition, the evaluation of interest and awareness of students to anatomy in postgraduate specialization preferences provides to predict researcher number which will be study in this area. -/- Materials and Methods: In this study, it (...) was proposed to evaluate the opinions of medicine faculty students about anatomy education and the view points and the awareness to anatomy in postgraduate specialization education. This study was performed on Gaziantep University second and third year medicine faculty students (n= 340). The data were obtained by feedback method with a questionnaire which consist of 30 question. -/- Results: It was found that the students chiefly benefited from lecture notes while they have been studied to theoretical and practical part of the anatomy individually. No significant correlation was found among general average grade and lengths of anatomy study of students (r= 0.097, p= 0.074). Fifty percent (%50) of students thought that don’t use of cadaver is always a deficiency in anatomy education. It was seen that the postgraduate career preferences of the students of 39.4% was internal medicine departments. The rate of students desiring the postgraduate anatomy specialization education was 1.2%. -/- Conclusion: In conclusion, the achieved results may will be beneficial for improving the new educational strategies related anatomy, resolving the present deficiencies and increasing the tendency to postgraduate anatomy education. (shrink)

The debate about how to interpret Foucault’s writings on neoliberalism has been going on for a while now: where some see in The Birth of Biopolitics a devastating critique of neoliberal reason, others see a laudatory exposition. Mitchell Dean and Daniel Zamora’s recent book The Last Man Takes LSD: Foucault and the End of Revolution is the newest contribution to this dispute. In it, the two authors rearticulate in book-length the position they have previously defended in several articles and (...) book chapters: that Foucault was enticed by neoliberal thought and that his reading of Gary Becker and others significantly affected the intellectual trajectory of his later years. While the arguments about what Foucault really thought of neoliberalism are central to the book – and many will no doubt find fault with its interpretation of Foucault in this regard – I set the somewhat tired exegetical debates aside for the purposes of this review. Instead, I focus on the book’s, in my opinion, more interesting project of analysing the broader relations between neoliberalism, Foucauldian thought and Left politics. Despite being a well-written and in many places highly interesting and worthwhile book, it ultimately falls short of a compelling analysis in this regard. (shrink)

It can seem natural to say that, when in pain, we undergo experiences which present to us certain experience-dependent particulars, namely pains. As part of his wider approach to mind and world, John McDowell has elaborated an interesting but neglected version of this account of pain. Here I set out McDowell’s account at length, and place it in context. I argue that his subjectivist conception of the objects of pain experience is incompatible with his requirement that such experience be (...) presentational, rationalizing, and classificatory. (shrink)

This is an article-length summary of the argument in my book, Kant's Organicism: Epigenesis and the Development of Critical Philosophy (University of Chicago Press, 2013; 2015).

In Religion within the Bounds of Bare Reason Kant speaks of an ethical state of nature and of an ethico-civil condition, with explicit reference to the juridical state of nature and the juridico-civil condition he discusses at length in his legal-political writings. Given that the Religion is the only work where Kant introduces a parallel between these concepts, one might think that this is only a loose analogy, serving a merely illustrative function. The paper provides a first outline of (...) the similarities and the differences between the state of nature and the civil condition in Right and in ethics. The comparison points to a deeper, structural relation between the two pairs of concepts. By doing so, it makes room for developing a unitary conception of the state of nature and of the civil condition, which would underlie both the ethical and the juridical version. (shrink)

In this review of Peter Walmsley's book, the first book-length treatment of Berkeley as a writer, Berkeley is shown to be a master stylist. He is also shown to have a theory of language that is "explicitly rhetorical," since he held, contrary to Locke, that language had ends other than the communication of ideas.

This dissertation is centrally concerned with exploring obituaries as repositories of values. Obituaries are a publicly-available natural language source that are variably written for members of communities that are wide (nation- level) and narrow (city-level, or at the level of specific groups therein). Because they are explicitly summative, limited in size, and written for consumption by a public audience, obituaries may be expected to express concisely the aspects of their subjects’ lives that the authors (often family members living in the (...) same communities) found most salient or worthy of featuring. 140,599 obituaries nested in 832 newspapers from across the USA were scraped with permission from Legacy.com, an obituaries publisher. Obituaries were coded for the age at death and gender (female/male) of the deceased using automated algorithms. For each publishing newspaper, county-level median income, educational achievement (operationalized as percent of the population with a Bachelor’s degree or higher), and race and ethnicity were averaged across counties, weighting by population size. A Neo4J graph database was constructed using WordNet and the University of South Florida Free Association Norms datasets. Each word in each obituary inthe corpus was lemmatized. The shortest path through the WordNet graph from each lemma to 30 Schwartz value prototype words published by Bardi, Calogero, and Mullen (2008) was then recorded. From these path lengths, a new measure, “word-by-hop,” was calculated for each Schwartz value to reflect the relative lexical distance between each obituary and that Schwartz value. Of the Schwartz values, Power, Conformity, and Security were most indicated in the corpus, while Universalism, Hedonism, and Stimulation were least indicated. A series of seven two-level regression models suggested that, across Schwartz values, newspaper community accounted for the greatest amount of word-by-hop variability in the corpus. The best-fitting model indicated a small, negative effect of female status across Schwartz values. Unexpectedly, Hedonism and Conformity, which had conceptually opposite prototype words, were highly correlated, possibly indicating that obituary authors “compensate” for describing the deceased in a hedonistic way by concurrently emphasizing restraint. Future research could usefully further expand word-by-hop and incorporate individual-level covariates that match the newspaper-level covariates used here. (shrink)

An estimated 65 million people have been forced to flee their homelands in the last few years. Average length of displacement for a refugee is now estimated at 17 years. A whole generation of young people are forced to spend their whole youth in refugee camps and can only be educated there. On the other side the international community is strongly underfinancing any education efforts by aid agencies and international organizations. So, it is common that classes have as many (...) as 100 children and teachers must deal with inevitable language barriers. We also have to remember that most children are traumatized by their experiences of fleeing their homes. Whereas the focus of most efforts is aimed at primary education it should not be forgotten that it is also necessary to support older children even up to higher education. A lot of the refugee adolescents have to support their families through activities that make education impossible. According to the UNHCR, more than 3.5 million refugee children do not have the chance to attend an appropriate school education. The inclusion of refugees in the national education systems of their host countries is a promising way of softening the challenges but the financial burden is too heavy to be carried without substantial support from the international community. Unfortunately, this is still dramatically lacking. Seeing these challenges in the world’s toughest classrooms we need to be aware that missing this opportunity to help and educate these traumatized children will fuel the feelings of being disadvantaged and forgotten by the rest of the world. Such feelings are smoothening the way for disaffection and they may become lured to be part of religious extremist organizations if not sufficiently addressed by providing sufficient infrastructure and finances for proper primary and secondary education. (shrink)

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

[This download contains the Table of Contents and Chapter 1.] This first book-length study of confabulation breaks ground in both philosophy and cognitive science.