This biography of Hypatia, the female philosopher and mathematician in Christian Egypt, provides background on her work and her life as an elite woman at this time. There are many myths about Hypatia, including her research, inventions and the impact of her murder, all based on a handful of contemporary resources. Through presenting the different theories and myths alongside the available evidence, this book will enable the reader to make their own interpretations about her life. Whilst the evidence does leave (...) many questions unanswered, this book provides the evidence as it stands, separating the myth from reality. There is very little published on Hypatia and she forms quite a niche market in the history of ancient Egypt. However, she is an interesting example of how multicultural Alexandria functioned at such an unstable political time, and provides anecdotal evidence of the atrocities that occurred. This book will appeal to scholars, lay people and political and religious researchers, and will show that the history of Egypt does not end at Cleopatra. (shrink)

The 1860s—the epoch of great reforms—brought to Russia a remarkable assortment of official actions that emancipated the serfs, liberalized the judicial system, created zemstva as experiments in limited local self‐government, granted universities an unprecedented scope of academic autonomy, and dramatically enlarged the number of young Russians enrolled in the leading Western universities in search of higher degrees in the sciences. These and similar reforms created an atmosphere favoring women's access to professional positions and contributing to the removal of the (...) harshest aspects of the lingering patriarchal system.Ann Hibner Koblitz's book offers a richly documented and judiciously analyzed portrayal of the widening scope of Russian women's active participation in the professional life of the nation. The book's analysis operates on two levels: the general dynamics of the rising social pressure to expand the range of professions open to women, and the personal experiences of individual women selected for special analysis. Koblitz is fully aware that the process of the emancipation and professional advancement of women was occasionally disrupted by adverse shifts in government policies. Concentrating primarily on the 1860s, this book makes many references to subsequent developments and provides enough documented information to create an adequate picture of the state of women's emancipation and professional employment during the waning decades of the nineteenth century.As might have been expected, Koblitz devotes the most interesting and penetrating analysis to the life and work of the mathematician Sofia Kovalevskaia, the brightest star in the emancipation movement and a most respected model of high professional aspiration and achievement. Inspired by the philosophy and ideology of the Nihilist movement of the 1860s, Kovalevskaia decided to enter the challenging world of science, specializing in mathematics, the queen in the world of scientific thought. The Nihilists made the idea of close interdependence of science and democracy a pivotal point of their ideology. Encouraged and guided by the well‐known German mathematician Karl Weierstrass of Göttingen University, Kovalevskaia published a series of mathematical papers that attracted wide professional attention. Henri Poincaré, a leading mathematical physicist, referred to the paper that brought her the Prix Bordin from the Paris Academy of Sciences as a “celebrated memoir.” The Petersburg Academy of Sciences elected Kovalevskaia an honorary member, the first woman to receive such a high honor—she was not, however, allowed to work for a magisterial degree in Russia, a requirement for university employment.Koblitz shows that despite compounded obstructions on the path to professional achievement, women's gains in Russia were equal to those in the West. Her study provides solid information and cogent comments on the historical background and the educational role of the higher courses for women established in all major cities. Women, however, had less difficulty in acquiring higher education than in finding employment commensurate with their professional qualifications. Their employment by institutions devoted to scientific research was almost always at the level of auxiliary personnel. I. P. Pavlov's main laboratory showed that even at this level there were women who not only manifested originality in experimental work but also published advanced scientific papers. In his classic volume on the development of the theory of conditioned reflexes, Pavlov referred to the publications of eleven women.This book is welcome as the first solid effort to draw a general picture of the multiple ramifications of the ascent of Russian women to professional positions in science. It also contributes to a better understanding of the growing movement in favor of broader participation by women in the full spectrum of professional activities. This book is a rich source of topics for special studies. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Hypatia’s Daughters: Fifteen Hundred Years of Women Philosophers ed. by Linda Lopez McAllisterSue M. WeinbergLinda Lopez McAllister, editor. Hypatia’s Daughters: Fifteen Hundred Years of Women Philosophers. Bloomington and Indianapolis: Indiana University Press, 1996. Pp. xiv + 345. Cloth, $49.95. Paper, $22.50.Hypatia: born in the fourth century A.D.: philosopher, mathematician, astronomer, teacher; brutally murdered in Alexandria in 415 A.D—whether for holding religious views regarded as heretical or (...) because she was a woman who dared to be a scholar and teacher remains a matter of speculation. Today, she gives her name to the journal for feminist philosophy. She is a symbol for those women who, over the centuries, have struggled to be part of the philosophical life of their time.Until very recently, the centuries that separated Hypatia from the present were assumed to have been a philosophical desert for women. But times have changed. Hypatia’s Daughters is a sign of this change. It contains eighteen articles on seventeen philosophers: Hypatia; Hildegard of Bingen, Heloise, and Christine de Pisan from the Middle Ages; Elizabeth of Bohemia, Sor Juana de la Cruz, Anne Conway, Damaris Masham, Catharine Trotter, Belle van Zuylen and Mary Wollstonecraft from the seventeenth and eighteenth centuries; Anne Doyle Wheeler and Harriet Taylor Mill from the nineteenth; Charlotte Perkins Oilman, Edith Stein, Hannah Arendt, and Angela Davis from the late nineteenth century into contemporary times. Few are known as well as they deserve, but many names are familiar even to non-specialists. Their ideas, however, are another matter.The collection in no way constitutes a definitive selection of women philosophers; those discussed are not presented as the most significant women philosophers in the history of philosophy. (A different kind of study would be necessary for evaluations of that kind.) The women here studied have little in common as a group; they wrote on many topics of philosophical concern; their views and their supporting reasoning differ. Further, as the subjects of the articles differ in their ideas, so do the contributors’ approaches and their methods of studying those ideas differ. These differences are the strengths of a collection that is stimulating, enlightening, provocative. The following examples indicate their range.Andrea Nye examines the correspondence of Heloise and Abelard and, in a second article, of Elizabeth of Bohemia and Descartes. Heloise and Elizabeth are usually regarded as passive followers or, at best, no more than serious questioners seeking answers of their correspondents. Nye’s fresh look at the Heloise-Abelard correspondence finds not only important differences between two ways of thinking, but also sees already underlying their disagreement what she calls the “macroquestion” of philosophy’s future: philosophy as “a professional discipline independent of political or social concerns or... an ongoing critical and cultural discourse.” (25) Elizabeth’s persistent questions to Descartes reveal ideas that challenge his views, especially on moral issues and physiological-psychological [End Page 164] phenomena; these are views that have a greater complexity than the basic issue of mind-body interaction that is usually identified as central to their exchange.Writing on Harriet Taylor Mill, Jo Ellen Jacobs examines changing attitudes towards her subject, beginning with views of Taylor Mill’s contemporaries and moving through the decades into our time. She finds parallels between criticisms of Taylor Mill and attitudes towards the so-called intellectual woman. In times encouraging of women, Taylor Mill is regarded as having made important contributions to the development of J. S. Mill’s thinking, in addition to writing and speaking about her own ideas and positions that did not always follow those of J. S. Mill. In less encouraging times, her significance tends to be minimized.Hannah Arendt is not usually thought of as a feminist. Joanne Cutting-Gray, through her discussion of Arendt’s early book on Rahel Varnhagen, develops implications of that study for Arendt as a “feminist thinker,” in particular through her focus on “the politics of alterity.” Cutting-Gray finds in the Varnhagen biography “an analogy between Jewish and female alterity [that] can stretch our understanding of women and politics.” (281)And there is more, much more: Martha Brandt Bolton’s scholarly examination of the philosophical works... (shrink)

This paper focusses on John Toland's influentialHypatia(1720), an account of the neo-Platonist philosopher and mathematician murdered in ancient Alexandria; it also considers segments of hisLetters to Serena(1704), and suggests various conjunctions between the two texts which confirm Toland's genuine and sustained feminist commitment. As I try to establish, Toland's concern is as much about contemporaneous events as it is about ‘disinterested’ history: by promoting Hypatia as the representative of philosophy in its perennial struggle with superstition and priestcraft, Toland is able (...) to underscore the wider case for an inclusive and capacious conception of ‘enlightenment’. (shrink)

This book reminds us in yet another context that women's contributions to science can be rendered invisible by “the historical record.” The Manhattan Project, the supersecret midcentury United States research, development, and production enterprise that produced the nuclear bomb, was a massive undertaking, at one time employing 130,000 persons. About 10 percent were women, yet official histories made no mention of female scientists or engineers.Sleuthing by the physicists Ruth Howes and Caroline Herzenberg has documented Manhattan Project contributions by (...) more than three hundred women. Howes and Herzenberg begin with a few well‐known European women pioneers in nuclear science , none Americans and none available for the U.S. bomb effort. They then recount the history of the Manhattan Project via biographical vignettes of women, organized in chapters: “The Physicists,” “The Chemists,” “Mathematicians and Calculators,” “Biologists and Medical Scientists,” “The Technicians,” and “Other Women of the Manhattan Project.”It appears that few of these women knew each other. In her foreword, Ellen Weaver writes: “When I read the personal reminiscences of the men who were nuclear pioneers, I'm struck by the importance they place on their friends and associates, and on the often intense interaction among them, which could lead to major insights in both theory and practice of science. And I'm a bit jealous. By and large, women did not share in that give‐and‐take.”Not only was there little networking among women scientists and technicians in the early 1940s while the bomb was being developed, but there was little opportunity for them to share their experiences later. Only a very small percentage of these women were able to continue their professional careers. The many barriers to women as professional scientists and engineers, temporarily lowered owing to the manpower shortages of wartime, were raised after the war. There did not develop a community of women, engaged in teaching and research, with roots in the Manhattan Project.A web page is being developed to gather and provide further information about the women scientific workers of the Manhattan Project. Howes and Herzenberg are setting up an on‐line archive there, hoping that others who have information about the women scientific workers of the Manhattan Project will contact them via the web page or by email .The magnitude of their endeavor to learn about these women was illustrated vividly to me while writing this review. I attended the memorial service for my aunt, Mary Matilda Morrison Pendleton , and heard in her eulogy that “she worked as a nurse at the Hanford project, near Richland, Washington, where the government was secretly making atomic bombs. She would work shift work, two weeks of day shift, two weeks of swing shift, two weeks of graveyard shift, then she would get seven days off. She wore a badge every day that was checked after each day's work to see how much she had been radiated.” Although I thought that I knew her well, my aunt's role in the Manhattan Project had been unknown to me.The women of the Manhattan Project are finally gaining visibility. For example, Nancy Cook Steeper's book‐length biography of Dorothy Scarritt McKibbon is being published by the Los Alamos Historical Society. Howes and Herzenberg have provided ideas and starting points for many additional biographical projects. Perhaps the greatest long‐term value of their book is the impetus that it will give to further research.The book is well written, easy to read, and attractively printed. An appendix, listing the women and their roles, and a thorough index combine to make this an easily used reference work. There is also an informative sixteen‐page chronology that focuses on the crucial period from 1938 through 1945. (shrink)

This article focuses on service provision for women who are involuntarily referred under the UK Mental Health Act (1983) into medium and high security care in England and Wales. We explore how physical and procedural security in such settings is prioritized over relational care (see also Fallon Report, Department of Health, 1999a and NHS Executive, 2000 – Tilt Report). We are not arguing against the importance of protecting the public from the acts of dangerous members of our society. However, (...) we are arguing that many of the women in our secure services are inappropriately placed and receive inappropriate forms of treatment and care. Rather than physical security, it is high relational care, which the women require. Further, we argue that current service provision often re-produces forms of violence and violation which have marked many of women's lives prior to their entry into the secure system. (shrink)

"Golf day 2005 @ federal golf club, red hill." Ethos: Official Publication of the Law Society of the Australian Capital Territory, (196), pp. 7.

How did the events of the early modern period affect the way gender and the self were represented? This collection of essays attempts to respond to this question by analysing a wide spectrum of cultural concerns - humanism, technology, science, law, anatomy, literacy, domesticity, colonialism, erotic practices, and the theatre - in order to delineate the history of subjectivity and its relationship with the postmodern fragmented subject. The scope of this analysis expands the terrain explored by feminist theory, while its (...) feminist focus reveals that the subject is always gendered - although the terms in which gender is conceived and represented change across history. Feminist Readings of Early Modern Culture not only explores the representation of gendered subjects, but in its commitment to balancing the productive tensions of methodological diversity, also speaks to contemporary challenges facing feminism. (shrink)

Before the early 1990s, accounts of classical American philosophy paid relatively little attention to the work and intellectual contributions of women philosophers. However, as early as 1991, a number of contemporary feminist philosophers and historians began to devote more focused attention to women philosophers whose intellectual achievements had been marginalized or forgotten. One woman philosopher whose contributions have still gone unnoticed is that of American logician, mathematician, and color theorist Christine Ladd-Franklin. This paper argues that Ladd-Franklin's feminist efforts (...) to increase the opportunities for women in professional academia were influenced not only by her work as a woman scientist and her reading of feminist literature but also by her understanding of pragmatism and her interaction with Charles Peirce. Specifically, Ladd-Franklin's arguments to increase academic research positions for women and her criticisms of male-only scientific societies point out how discrimination on the basis of gender violates Peirce's first rule of reason that one ought not block the road to inquiry and expose the unscientific nature of gender discrimination by contrasting the pragmatic meaning of acquiring a doctorate with the institutional practice of barring women from making intellectual contributions by denying them professorial positions. (shrink)

Sixteen centuries ago the Neoplatonist philosopher Hypatia was murdered by a mob of Christians. Ever since, she has been remembered in poems, plays, paintings, and films as a victim of religious intolerance whose death symbolized the end of the classical world. But before she was a symbol Hypatia was a person. As one of antiquity's best-known female scholars, Hypatia's immense skills as a philosopher and mathematician redefined the intellectual life of her home city of Alexandria. Her talent as a teacher (...) enabled her to assemble a circle of dedicated male students. Her devotion to public service made her a force for peace and good government in a city that struggled to maintain trust and cooperation between pagans and Christians. These intellectual and political triumphs were all the more astonishing for being accomplished in a climate of gossip, scrutiny, and misogyny.Hypatia: The Life and Legend of an Ancient Philosopher is a major new account of this remarkable woman and the culturally rich and turbulent context in which she lived. Utilizing new techniques for reading ancient letters and mathematical and philosophical commentaries-as well as a number of previously unnoticed early modern sources-Edward J. Watts provides a revelatory narrative of Hypatia's life, her formidable achievements, the tragic story of the events that led to her murder, and the rich legacy of her life and death. (shrink)

Marcus J. is a mathematician extraordinaire. Because it is no longer politically correct to use ivory, the tower in which he is hermetically sealed is made of recycled plastics. In his tower, walled off from the rest of the world, he pursues mathematics. Having started out modestly with theorizing that flipping two coins will yield two heads with a probability of 25%, he has lately gone on to more ambitious projects. Most recently he has published a paper, earning wide acclaim, (...) in which he has theorized that, since there are exactly four possible pairings (female-female; male-male; female-male; and male-female) of adult human beings, there is, then, a 25% probability that a household is headed by two women; a 25% probability that a household is headed by two men; and a 50% probability that a household is headed by one man and one woman. (shrink)

The first issues of the journal Hypatia, published from 1983 through 1985, truly heralded the rebirth of a feminist philosophy. Women in philosophy had been silenced since the days of the fourth-century Alexandrian woman philosopher and mathematician, Hypatia. With the establishment of the journal by the Society for Women in Philosophy, feminist issues and philosophy were legitimized. The first three issues of the journal were actually published as special issues of Women's Studies International Forum. From this unique (...) incubational arrangement, the journal has grown to be a successful independent voice for feminist philosophical concerns. In response to demand, essays from those early, now out-of-print issues are being published in book form as a testament to the rebirth of feminist philosophy. (shrink)

Mathematical correspondence offers a rich heritage for the history of mathematics and science, as well as cultural history and other areas. It naturally covers a vast range of topics, and not only of a scientific nature; it includes letters between mathematicians, but also between mathematicians and politicians, publishers, and men or women of culture. Wallis, Leibniz, the Bernoullis, D'Alembert, Condorcet, Lagrange, Gauss, Hermite, Betti, Cremona, Poincaré and van der Waerden are undoubtedly authors of great interest and their (...) letters are valuable documents, but the correspondence of less well-known authors, too, can often make an equally important contribution to our understanding of developments in the history of science. Mathematical correspondences also play an important role in the editions of collected works, contributing to the reconstruction of scientific biographies, as well as the genesis of scientific ideas, and in the correct dating and interpretation of scientific writings. This volume is based on the symposium “Mathematical Correspondences and Critical Editions,” held at the 6th International Conference of the ESHS in Lisbon, Portugal in 2014. In the context of the more than fifteen major and minor editions of mathematical correspondences and collected works presented in detail, the volume discusses issues such as • History and prospects of past and ongoing edition projects, • Critical aspects of past editions, • The complementary role of printed and digital editions, • Integral and partial editions of correspondence, • Reproduction techniques for manuscripts, images and formulae, and the editorial challenges and opportunities presented by digital technology. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Math Anxiety:Making Room to BreatheValerie Allen (bio) and Todd Stambaugh (bio)"Don't do that to me, Professor," the student said, and everybody laughed, for by this late in the semester, the atmosphere was relaxed. The instructor in question had just reached the point in a worked problem when they could move from reasoning about specific numbers to stating a general principle: x≤y≤z, meaning that y—the value we sought—was always going (...) to be greater than or equal to one value (x) and less than or equal to the other (z). The student who had spoken had earned everyone's affection over the weeks, open about their difficulties with math, ready to risk being wrong, and to ask obvious questions that others may have been reluctant to owning. They had hung in there, despite presenting a classic case of math anxiety, a syndrome long recognized in the scholarship of teaching and learning.Among math anxiety's many symptoms, breathing disruption ranks high: hyperventilation (rapid breathing) and hypoventilation (barely or not breathing). When the energy-conserving parasympathetic nervous system is overtaken by the energy-expending sympathetic nervous system, the long exhalations that decelerate the heart rate are replaced by short, panting puffs from the upper lungs. The timed test provides the perfect environment for math anxiety to flourish. Stress diverts cognitive resources needed for procedural execution, so working memory consequently shrinks.Self-rated metrics for math anxiety have been in place for decades (Richardson and Suinn). Relatively trivial interventions can yield nontrivial results: deep breathing exercises and positive affirmations have a beneficial impact, as does writing about one's nerves immediately prior to an exam (Brunyé et al.). More systemic changes require a reorientation in teaching whereby conceptual mistakes are positively rewarded as opportunities for learning; students compose questions instead of answers; students solve problems together rather than perform solo (Boaler).Return now to that opening scenario to watch it become stereotype incarnate: the student was mature, Black, and female; the teacher, younger, white, and male; her comment was triggered by his shift from a specific [End Page 217] set of numbers into symbolic notation. There is robust evidence to demonstrate that certain demographics are consistently underrepresented in the U.S. math community: women and "African-Americans, Hispanics, American Indians, Alaska Natives, and Pacific Islanders," according to the Mathematical Association of America (MAA) ("Resources for Minority"). Routinely feeling that they do not belong, such groups are particularly vulnerable to math anxiety.Several remedies for such disparity suggest themselves: appointing more women and people of color in the profession; one-on-one tutorial assistance; research projects about the students' personal environment; privileging pre-test, low-stakes work over timed tests; assigning group rather than individual work. When all is said and done, however, such strategies "have little to do with mathematics content" (Martin 304). Mathematicians still need to be able to conceptualize, describe, and manipulate abstract objects, and there seems to be a suspicion that, at heart, abstraction is gendered masculine and colored white.It is possible that the rhetorical immediacy and context-dependence of Black English has misguidedly reinforced such a perception. For poet June Jordan, Black English "devolves from a culture that abhors all abstraction" (Jordan 367). Psychiatrist Alvin Poussaint asks, "Is there a way to say metamorphosis in Ebonics?" (O'Malley). Yet, despite Black English's avoidance of nominalization and similar verbosities that afflict academic prose, abstract logical reasoning flourishes in vernacular idiom, as linguist William Labov demonstrated half a century ago. Our aim is not to explain the asymptote in Black English but rather to consider a feature characteristic of those very minority cultures historically underrepresented in math—storytelling—and to ask how it may be foregrounded in mathematics, where it is decisively sidelined. Storytelling has been claimed by every culture and ethnic group at some point as the repository of wisdom, practical skills, religious beliefs, and shared identity and values; but when it gets corralled into the category of "fiction," and when it gets opposed to "fact," a narrowed concept of truth dispatches storytelling to kindergarten and recreational math. Word problems may supply scenarios but offer none of a plot's satisfactions... (shrink)

The search for God is dictated not from without but from a profound sense of one's own moral being and worthiness to be happy. The core of Immanuel Kant's argument remains relevant to the experience of ordinary men and women. He wished to strengthen, not undermine, belief in God and in the spiritual nature of humankind. This 1763 essay is imporrtant in understanding the development of Kant's thought. It exposed the flaw in the Cartesian argument that the existence of (...) a perfect being could be deduced from an idea or concept of such. Similarly, Kant saw the problem inherent in the Leibnizian view of a philosophical system modeled on mathematics: a philosopher who, like a mathematician, began with an arbitrary definition remained trapped in a circle of words. In The One Possible Basis for a Demonstration of the Existence of God , Kant diverged from the familiar forms of ontological argument. The result was a brilliant approach to divine being that anticipated his mature Critique of Pure Reason. With this Bison Book edition, The One Possible Basis appears in paperback for the first time. Gordon Treash's English translation, the only modern one, faces pages containing the original German. Treash, who is a professor of philosophy at Mount Allison University, Sackville, New Brunswick, edited, with Paul A. Bogaard, Metaphysics as Foundation: Essays in Honor of Ivor Leclerc . Also available as a Bison Book is Kant's last major essay, The Conflict of the Faculties (1992). (shrink)

The first half of the twentieth century was marked by the simultaneous development of logic and mathematics. Logic offered the necessary means to justify the foundations of mathematics and to solve the crisis that arose in mathematics in the early twentieth century. In European science in the late nineteenth century, the ideas of symbolic logic, based on the works of J. Bull, S. Jevons and continued by C. Pierce in the United States and E. Schroeder in Germany were getting popular. (...) The works by G. Frege and B. Russell should be considered more progressive towards the development of mathematical logic. The perspective of mathematical logic in solving the crisis of mathematics in Ukraine was noticed by Professor of Mathematics of Novorossiysk University Ivan Vladislavovich Sleshynsky. Sleshynsky is a Doctor of Mathematical Sciences, Professor of Novorossiysk University. After studying at the University for two years he was a Fellow at the Department of Mathematics of Novorossiysk University, defended his master’s thesis and was sent to a scientific internship in Berlin, where he listened to the lectures by K. Weierstrass, L. Kronecker, E. Kummer, G. Bruns. Under the direction of K. Weierstrass he prepared a doctoral dissertation for defense. He returned to his native university in 1882, and at the same time he was a teacher of mathematics in the seminary, Odesa high schools, and taught mathematics at the Odesa Higher Women’s Courses. Having considerable achievements in the field of mathematics, in particular, Pringsheim’s Theorem proved by Sleshinsky on the conditions of convergence of continuous fractions, I. Sleshynsky drew attention to a new direction of logical science. The most significant work for the development of national mathematical logic is the translation by I. Sleshynsky from the French language “Algebra of Logic” by L. Couturat. Among the most famous students of I. Sleshynsky, who studied and worked at Novorossiysk University and influenced the development of mathematical logic, one should mention E. Bunitsky and S. Shatunovsky. The second period of scientific work of I. Sleshynsky is connected with Poland. In 1911 he was invited to teach mathematical disciplines at Jagiellonian University and focused on mathematical logic. I. Sleshynsky’s report “On Traditional Logic”, delivered at the meeting of the Philosophical Society in Krakow. He developed the common belief among mathematicians that logic was not necessary for mathematics. His own experience of teaching one of the most difficult topics in higher mathematics – differential calculus, pushed him to explore logic, since the requirement of perfect mathematical proof required this. In one of his further works of this period, he noted the promising development of mathematical logic and its importance for mathematics. He claimed that for the mathematics of future he needed a new logic, which he saw in the “Principles of Mathematics” by A. Whitehead and B. Russell. Works on mathematical logic by I. Sleszynski prompted many of his students in Poland to undertake in-depth studies in this field, including T. Kotarbiński, S. Jaśkowski, V. Boreyko, and S. Zaremba. Thanks to S. Zaremba, I. Sleshynsky managed to complete the long-planned concept, a two-volume work “Theory of Proof”, the basis of which were lectures of Professor. The crisis period in mathematics of the early twentieth century, marked by the search for greater clarity in the very foundations of mathematical reasoning, led to the transition from the study of mathematical objects to the study of structures. The most successful means of doing this were proposed by mathematical logic. Thanks to Professor I. Sleshynsky, who succeeded in making Novorossiysk University a center of popularization of mathematical logic in the beginning of the twentieth century the ideas of mathematical logic in scientific environment became more popular. However, historical events prevented the ideas of mathematical logic in the domestic scientific space from the further development. (shrink)

ArgumentThis essay explores how and why women involved themselves in the sciences in eighteenth-century Italy. Using the case study of Diamante Medaglia Faini, a poet who attempted to become a mathematician, it argues that the image of the woman natural philosopher was shaped by the visible presence of woman in scientific institutions in the mid-eighteenth century and by the tradition of popular scientific writing, best embodied in the works of Bernard le Bovier de Fontenelle and Francesco Algarotti, that made (...) the woman natural philosopher an important literary protagonist. Becoming a scientist, in other words, was both a reality and a fiction. The tensions between these two different images shaped the terrain in which women pursued science. (shrink)

The Deutsche Biographische Enzyklopadie der Theologie und der Kirchen (DBETh) (German Biographical Encyclopaedia of Theology and the Church) offers biographical articles on 8,000 people from the areas of church, theology and the non-Christian religions, in the German-speaking regions. This biographical encyclopaedia of the church and the history of religion reaches from the early Middle Ages to the present, covering a period of more than a thousand years. Christians of different confessions and communities, Jews, prominent theologians and religious leaders and representatives (...) of religious studies are presented with their life histories and life's work. The DBETh is a unique type of lexical work of unparalleled extensiveness. The geographical area covered by the DBETh is defined by the German language. Besides Germany, it covers Austria, German-speaking Switzerland, the Alsace and Transylvania, the Baltic and South Tyrol. The biographical articles are free of value judgements and censorship, and do not cover people still living. Men and women, who made a significant impact during their lives and had far reaching influence following their deaths, are dealt with more extensively in articles written and signed by experts. Almost all the articles have details of further reading. Indexes of persons and places make it easier to use and to find connections. The sphere of people covered is broad: theologians, holders of church offices, philosophers with a religious-theological emphasis as well as artists concentrating primarily on ecclesiastical themes and activities - writers, musicians, painters, sculptors, and architects. Also included are secular leaders who were specifically influential in church politics. Vicars recognized as writers or as naturalists are not forgotten any more than members of orders, acknowledged as astronomers or mathematicians.". (shrink)

This chapter is about Grete Hermann, a philosopher-mathematician who productively and mutually beneficially interacted with the founders of quantum mechanics in the early period of that theory's elaboration. Hermann was a neo-Kantian philosopher. At the heart of Immanuel Kant's critical philosophy lay the question of the conditions under which we can be said to know something objectively, a question Hermann found to be particularly pressing in quantum mechanics. Hermann's own approach to Neo-Kantianism was Neo-Friesian. Jakob Friedrich Fries, like Kant, had (...) understood critical philosophy to be an essentially epistemic project. Fries departed from Kant in his account of the elements involved in our cognition. In this chapter it is discussed how, beginning from a neo-Friesian understanding of critical philosophy, Hermann is led to conclude that quantum mechanics shows us that physical knowledge is fundamentally split; that the objects of quantum mechanics are only objects from a particular perspective and in the context of a particular physical interaction. It will be seen how Hermann's solution to the problem of objectivity in quantum mechanics is a natural one from a neo-Friesian point of view, even though it disagrees with those offered by more orthodox versions of Kantian doctrine. (shrink)

The Routledge Handbook of Women and Ancient Greek Philosophy is an essential reference source for cutting-edge scholarship on women, gender, and philosophy in Greek antiquity. The volume features original research that crosses disciplines, offering readers an accessible guide to new methods, new sources, and new questions in the study of ancient Greek philosophy and its multiple afterlives. Comprising 40 chapters from a diverse international group of experts, the Handbook considers questions about women and gender in sources from (...) Greek antiquity spanning the period from 7th c. BCE to 2nd c. BCE, and in receptions of Greek antiquity from the Roman Imperial period, through the European Renaissance to the current day. Chapters are organized into five major sections: I. Early Greek antiquity – including Sappho, Presocratic philosophy, Sophists, and Greek tragedy – 700s–400s BCE II. Classical Greek antiquity – including Aeschines, Plato, and Xenophon – 400s–300s BCE III. Late Classical Greek to Hellenistic antiquity – including Cyrenaics, Cynics, the Hippocratic corpus, and Aristotle – 300s–200s BCE IV. Late Greek antiquity to Roman Imperial period – including Pythagorean women, Stoics, Pyrrhonian Skeptics, and late Platonists – 200s BCE to 700s CE V. Later receptions – including Shakespeare, the European Renaissance, Anna Julia Cooper, W.E.B. DuBois, Jane Harrison, Sarah Kofman, and Toni Morrison The Routledge Handbook of Women and Ancient Greek Philosophy is a vital resource for students and scholars in philosophy, Classics, and gender studies who want to gain a deeper understanding of philosophy’s rich past and explore sources and questions beyond the traditional canon. The volume is a valuable resource, as well, for students and scholars from history, humanities, literature, political science, religious studies, rhetorical studies, theatre, and LGBTQ and sexuality studies. (shrink)

In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those (...) who judged it valid, and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. (shrink)

Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Le;vi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the (...) existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field , remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought. (shrink)

This is the first book to unpack the legal and ethical issues surrounding unauthorised intimate examinations during labour. The book uses feminist, socio-legal and philosophical tools to explore the issues of power, vulnerability and autonomy. The collection challenges the perception that the law adequately addresses different manifestations of unauthorised medical touch through the lens of women's experiences of unauthorised vaginal examinations during labour. The book unearths several broader themes that are of huge significance to lawyers and healthcare professionals such (...) as the legal status of women and their bodies. The book raises questions about women's experiences during childbirth in hospital settings. It explores the status of women's bodies during labour and childbirth where too easily they become objectified, and it raises important issues around consent. The book highlights links to the law on sexual offences and women's loss of power under the medical gaze. The book includes contributions from leading feminist philosophers, medical professionals, and academics in medicine and law, and offers pioneering analysis relevant to lawyers and healthcare professionals with an interest in medical law and ethics; feminist theory; criminal law; tort law; and human rights law. (shrink)

We present a case study of how mathematicians write for mathematicians. We have conducted interviews with two research mathematicians, the talented PhD student Adam and his experienced supervisor Thomas, about a research paper they wrote together. Over the course of 2 years, Adam and Thomas revised Adam’s very detailed first draft. At the beginning of this collaboration, Adam was very knowledgeable about the subject of the paper and had good presentational skills but, as a new PhD student, (...) did not yet have experience writing research papers for mathematicians. Thus, one main purpose of revising the paper was to make it take into account the intended audience. For this reason, the changes made to the initial draft and the authors’ purpose in making them provide a window for viewing how mathematicians write for mathematicians. We examined how their paper attracts the interest of the reader and prepares their proofs for validation by the reader. Among other findings, we found that their paper prepares the proofs for two types of validation that the reader can easily switch between. (shrink)

"--David Ruelle, author of "Chance and Chaos" "This is an important book, one that should cause an epoch-making change in the way we think about mathematics.

Nevil Maskelyne, the Cambridge-trained mathematician and later Astronomer Royal, was appointed by the Royal Society to observe the 1761 transit of Venus from the Atlantic island of St Helena, assisted by the mathematical practitioner Robert Waddington. Both had experience of measurement and computation within astronomy and they decided to put their outward and return voyages to a further use by trying out the method of finding longitude at sea by lunar distances. The manuscript and printed records they generated in this (...) activity are complemented by the traditional logs and journals kept by the ships’ officers. Together these records show how the mathematicians came to engage with the navigational practices that were already part of shipboard routine and how their experience affected the development of the methods that Maskelyne and Waddington would separately promote on their return. The expedition to St Helena, in particular the part played by Maskelyne, has long been regarded as pivotal to the introduction of the lunar method to British seamen and to the establishment of theNautical Almanac. This study enriches our understanding of the episode by pointing to the significant role played by the established navigational competence among officers of the East India Company. (shrink)

The literature on mathematical explanation contains numerous examples of explanatory, and not so explanatory proofs. In this paper we report results of an empirical study aimed at investigating mathematicians’ notion of explanatoriness, and its relationship to accounts of mathematical explanation. Using a Comparative Judgement approach, we asked 38 mathematicians to assess the explanatory value of several proofs of the same proposition. We found an extremely high level of agreement among mathematicians, and some inconsistencies between their assessments and (...) claims in the literature regarding the explanatoriness of certain types of proofs. (shrink)

Mathematicians often conduct aesthetic judgements to evaluate mathematical objects such as equations or proofs. But is there a consensus about which mathematical objects are beautiful? We used a comparative judgement technique to measure aesthetic intuitions among British mathematicians, Chinese mathematicians, and British mathematics undergraduates, with the aim of assessing whether judgements of mathematical beauty are influenced by cultural differences or levels of expertise. We found aesthetic agreement both within and across these demographic groups. We conclude that judgements (...) of mathematical beauty are not strongly influenced by cultural difference, levels of expertise, and types of mathematical objects. Our findings contrast with recent studies that found mathematicians often disagree with each other about mathematical beauty. (shrink)

The article addresses the necessity of increasing the role of mathematics in the psychological intervention in problem gambling, including cognitive therapies. It also calls for interdisciplinary research with the direct contribution of mathematics. The current contributions and limitations of the role of mathematics are analysed with an eye toward the professional profiles of the researchers. An enhanced collaboration between these two disciplines is suggested and predicted.

Recent years have seen a growing acknowledgement within the mathematical community that mathematics is cognitively/socially constructed. Yet to anyone doing mathematics, it seems totally objective. The sensation in pursuing mathematical research is of discovering prior (eternal) truths about an external (abstract) world. Although the community can and does decide which topics to pursue and which axioms to adopt, neither an individual mathematician nor the entire community can choose whether a particular mathematical statement is true or false, based on the given (...) axioms. Moreover, all the evidence suggests that all practitioners work with the same ontology. (My number 7 is exactly the same as yours.) How can we reconcile the notion that people construct mathematics, with this apparent choice-free, predetermined objectivity? I believe the answer is to be found by examining what mathematical thinking is (as a mental activity) and the way the human brain acquired the capacity for mathematical thinking. (shrink)