Between 1873 and 1876, Felix Klein published a series of papers that he later placed under the rubric anschauliche Geometrie in the second volume of his collected works (1922). The present study attempts not only to follow the course of this work, but also to place it in a larger historical context. Methodologically, Klein’s approach had roots in Poncelet’s principle of continuity, though the more immediate influences on him came from his teachers, Plücker and Clebsch. In the 1860s, Clebsch reworked (...) some of the central ideas in Riemann’s theory of Abelian functions to obtain complicated results for systems of algebraic curves, most published earlier by Hesse and Steiner. These findings played a major role in enumerative geometry, whereas Plücker’s work had a strongly qualitative character that imbued Klein’s early studies. A leitmotif in these works can be seen in the interplay between real curves and surfaces as reflected by their transformational properties. During the early 1870s, Klein and Zeuthen began to explore the possibility of deriving all possible forms for real cubic surfaces as well as quartic curves. They did so using continuity methods reminiscent of Poncelet’s earlier approach. Both authors also relied on visual arguments, which Klein would later advance under the banner of intuitive geometry (anschauliche Geometrie). (shrink)

Albert Einstein's most important public and private political writings are put into historical context in this firsthand view of how one of the twentieth century's greatest minds responded to the political challenges of his day.

This essay takes a close look at specially selected features of the Göttingen mathematical culture during the period 1895–1920. Drawing heavily on personal accounts and archival resources, it describes the changing roles played by Felix Klein and David Hilbert, as Göttingen's two senior mathematicians, within a fast-growing community that attracted an impressive number of young talents. Within the course of these twenty-five years Göttingen exerted a profound impact on mathematics and physics throughout the world. Many factors contributed to the (...) creation of a special atmosphere that served as a model for several other important centers for mathematical research. Göttingen exemplified a dynamic new way of doing mathematics within a highly competitive community in which the spoken word often carried more weight than did information conveyed in written texts. This oral dimension of the Göttingen culture played an important, till now overlooked role in the early development of Einstein's general theory of relativity. (shrink)

ArgumentEinstein's initial fame came in late 1919 with a dramatic breakthrough in his general theory of relativity. Through a remarkable confluence of events and circumstances, the mass media soon projected an image of the photogenic physicist as a bold new revolutionary thinker. With his theory of relativity Einstein had overthrown outworn ideas about space and time dating back to Newton's day, no small feat. While downplaying his reputation as a revolutionary, Einstein proved he was well cast for the role of (...) mild-mannered scientific genius. Yet fame demanded its price. Surrounded by social and economic unrest in Berlin, he was caught between two worlds, one struggling to be born, another refusing to die. Far from withdrawing, he threw himself into the political fray to become a symbol for international reconciliation during the early Weimar Republic. A decade later, his public image acquired another layer when he re-emerged as a Stoic sage and selfless humanitarian, a quasi-religious figure who saw himself as a modern-day Spinoza. Focusing on events of this period and the role of the German media in portraying them, this essay highlights the scientific and political undercurrents that drew Einstein into the public eye at a critical juncture in European history. Its broader aim is to show the import of these themes within the context of the vast literature on Einstein as well as the larger historiography of science. (shrink)

Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.

In early modern theories of ‘proper’ style, ambiguously, difficulty could convey a sense of excellence on one hand (of national belonging, imperial ambition or manly ‘virility’) while also being deployed to denigrate unseemly (too feminine or foreign) speech. Difficulty erupts precisely in the points of friction: when boundaries around ablebodymindedness are drawn or when the available forms of expression are insufficient. Instead of eradicating difficulty altogether, I sift through early modern French, English and Italian writing on rhetoric to make a (...) case for paying closer attention to difficulty, lingering with it, and seeing what these friction points ultimately reveal. The contemporary concept of ‘disability gain’ posits disability not as a defect to be remedied, erased or cured, but rather as a mode of being in the world that allows for innovation, creativity and even added affects, resources or alternative epistemologies. Instead of considering, in the pedagogical domain, how to construct conceptual ‘on-ramps’ for simplifying difficulty, what would we gain by leaning into the unclear, uncertain and potentially joyful ‘other’ forms of communication itself, such as dysfluency, stuttering or Remi Yergeau’s concept of the rhizomatic neuroqueer? (shrink)

My intention in this paper is to present a schema for understanding �sthetic transactions. (By '�sthetic transactions' I mean to refer to the artist's creation of a work of art and the audience's appreciation of it). For Kant a schema was a rule or principle that enables the under- standing to apply its categories. I am using this term in a narrower sense but in the same spirit : The schema to be considered is to serve as a principle which (...) will allow us to grasp in a definitive fashion the special character of �sthetic transactions. (shrink)

I would like to begin by welcoming all of you and by saying how nice it is to be President of the AAP NZ DIV or (the altervative Title) and to be addressing you tonight in that capacity. As I began writing this it occurred to me that every former Secretary of this Association must have asked themselves at some time just how meaningful this automatic honour of becoming President the following year actually is. Certainly it is an advantage to (...) be able to deliver your paper first, and to command a decent audience, but I feel that occupying the office of President could be made into something rather special if the following practice, which I intend to inaugurate tonight, were to become an established custom. (shrink)

The fundamental issue dividing Pro- and Anti-abortionists is the question of whether or not the foetus/unborn child is to be regarded as a human being, a person with a right to life. An answer to this question which would satisfy both disputants must be developed in a consistent way from beliefs that are shared between them. I outline these shared beliefs (viz., attitudes towards potential life, and, how and when the value of life is realised by an individual) and argue (...) that the quickening of the foetus is the point at which the adoption of a moral attitude towards it is consistent with both the Pro- and the Antiabortionist standpoint. (shrink)

This popular text has now been revised to ensure that it continues to meet the needs of the growing number of people interested in all the main philosophical traditions of the world. Introduces all the main philosophical systems of the world, from ancient times to the present day. Now includes new sections on Indian and Persian thought and on feminist and environmental philosophy. The preface and bibliography have also been updated. Written by a highly successful textbook author.

We review the major phenomena of skilled typing and propose a model for the control of the hands and fingers during typing. The model is based upon an Activation‐Trigger‐Schema system in which a hierarchical structure of schemata directs the selection of the letters to be typed and, then, controls the hand and finger movements by a cooperative, relaxation algorithm. The interactions of the patterns of activation and inhibition among the schemata determine the temporal ordering for launching the keystrokes. To account (...) for the phenomena of doubling errors, the model has only “type” schemata—no “token” schemata—with only a weak binding between the special schema that signals a doubling, and its argument. The model exists as a working computer simulation and produces an output display of the hands and fingers moving over the keyboard. It reproduces some of the major phenomena of typing, including the interkeystroke interval times, the pattern of transposition errors found in skilled typists, and doubling errors. Although the model is clearly inadequate or wrong in some of its features and assumptions, it serves as a useful first approximation for the understanding of skilled typing. (shrink)

This collection of Habermas's recent essays on philosophical topics continues the analysis begun in The Philosophical Discourse of Modernity. In a short introductory essay, he outlines the sources of twentieth-century philosophizing, its major themes, and the range of current debates. The remainder of the essays can be seen as his contribution to these debates.Habermas's essay on George Herbert Mead is a focal point of the book. In it he sketches a postmetaphysical, intersubjective approach to questions of individuation and subjectivity. In (...) other essays, he develops his distinctive, communications-theoretic approach to questions of meaning and validity. The book as a whole expands on his earlier efforts to define a middle ground between nostalgic revivals of metaphysical conceptions of reason and radical deconstructions of reason. Jürgen Habermas is Professor of Philosophy at the University of Frankfurt.The Essays: The Horizon of Modernity is Shifting. Metaphysics after Kant. Themes in Postmetaphysical Thinking. Toward a Critique of the Theory of Meaning. Peirce and Communication. The Unity of Reason in the Diversity of Its Voices. Individuation through Socialization: On George Herbert Mead's Theory of Subjectivity. Philosophy and Science as Literature? (shrink)

David E. Cooper elucidates Nietzsche's educational views in detail, in a form that will be of value to educationalists as well as philosophers. In this title, first published in 1983, he shows how these views relate to the rest of Nietzsche's work, and to modern European and Anglo-Saxon philosophical concerns. For Nietzsche, the purpose of true education was to produce creative individuals who take responsibility for their lives, beliefs and values. His ideal was human authenticity. David E. Cooper (...) sets Nietzsche's critique against the background of nineteenth-century German culture, yet is concerned at the same time to emphasize its bearing upon recent educational thought and policy. (shrink)