Meaning, Experience, and the Modern Self: The Phenomenology of Spontaneous Sense in Woolf’s Mrs. Dalloway

By portraying meaning as a phenomenon that eludes complete expression and arises spontaneously in our everyday embodied interactions with others and objects in the world, as well as in our own unconscious registering of those interactions, Woolf’s Mrs. Dalloway is uniquely insightful concerning both the presence of meaning in modern life and the modern conception of the self--phenomena marked by a certain ineradicable tension between that which is constituted by us and that which is given from outside us. This paper examines this tension through the lens of Merleau-Ponty’s phenomenology, with special attention to the leitmotif of the «spontaneity of sense». Woolf and Merleau-Ponty both help to illustrate an important modern insight: that among the most meaningful experiences are those that are not only unexpected and unexplained, but in some sense foreign and unexplainable--mysterious events and yet everyday occurrences that explode the supposed privacy of our thought, and exceed our capacity for expression

Convexity of Momentum Maps: A Topological Analysis

The Local-to-Global-Principle used in the proof of convexity theorems for momentum maps has been extracted as a statement of pure topology enriched with a structure of convexity. We extend this principle to not necessarily closed maps f\colon X\ra Y where the convexity structure of the target space $Y$ need not be based on a metric. Using a new factorization of $f$, convexity of the image is proved without local fiber connectedness, and for arbitrary connected spaces $X$.Comment: 21 pages LaTeX2e; minor revisions, to appear in Topology and its Applications; Dedicated to Alan D. Weinstein, Dennis P. Sullivan, and in memory of Jerrold E. Marsden. arXiv admin note: substantial text overlap with arXiv:1009.252

Transcritical rotating flow over topography

The flow of a one-and-a-half layer fluid over a three-dimensional obstacle of non-dimensional height M, relative to the lower layer depth, is investigated in the presence of rotation, the magnitude of which is measured by a non-dimensional parameter B (inverse Burger number). The transcritical regime in which the Froude number F, the ratio of the flow speed to the interfacial gravity wave speed, is close to unity is considered in the shallow-water (small-aspect-ratio) limit. For weakly rotating flow over a small isolated obstacle (M -> 0) a similarity theory is developed in which the behaviour is shown to depend on the parameters Gamma = (F - 1)M-2/3 and nu = (BM-1/3)-M-1/2. The flow pattern in this regime is determined by a nonlinear equation in which Gamma and nu appear explicitly, termed here the 'rotating transcritical small-disturbance equation' (rTSD equation, following the analogy with compressible gasdynamics). The rTSD equation is forced by 'equivalent aerofoil' boundary conditions specific to each obstacle. Several qualitatively new flow behaviours are exhibited, and the parameter reduction afforded by the theory allows a (Gamma, nu) regime diagram describing these behaviours to be constructed numerically. One important result is that, in a supercritical oncoming flow in the presence of sufficient rotation (nu greater than or similar to 2), hydraulic jumps can appear downstream of the obstacle even in the absence of an upstream jump. Rotation is found to have the general effect of increasing the amplitude of any existing downstream hydraulic jumps and reducing the lateral extent and amplitude of upstream jumps. Numerical results are compared with results from a shock-capturing shallow-water model, and the (Gamma, nu) regime diagram is found to give good qualitative and quantitative predictions of flow patterns at finite obstacle height (at least for M less than or similar to 0.4). Results are compared and contrasted with those for a two-dimensional obstacle or ridge, for which rotation also causes hydraulic jumps to form downstream of the obstacle and acts to attenuate upstream jumps

Non-dispersive and weakly dispersive single-layer flow over an axisymmetric obstacle: the equivalent aerofoil formulation

Non-dispersive and weakly dispersive single-layer flows over axisymmetric obstacles, of non-dimensional height M measured relative to the layer depth, are investigated. The case of transcritical flow, for which the Froude number F of the oncoming flow is close to unity, and that of supercritical flow, for which F > 1, are considered. For transcritical flow, a similarity theory is developed for small obstacle height and, for non-dispersive flow, the problem is shown to be isomorphic to that of the transonic flow of a compressible gas over a thin aerofoil. The non-dimensional drag exerted by the obstacle on the flow takes the form D(Gamma)M-5/3, where Gamma = (F - 1)M-2/3 is a transcritical similarity parameter and D is a function which depends on the shape of the 'equivalent aerofoil' specific to the obstacle. The theory is verified numerically by comparing results from a shock-capturing shallow-water model with corresponding solutions of the transonic small-disturbance equation, and is found to be generally accurate for M less than or similar to 0.4 and vertical bar Gamma vertical bar less than or similar to 1. In weakly dispersive flow the equivalent aerofoil becomes the boundary condition for the Kadomtsev-Petviashvili equation and (multiple) solitary waves replace hydraulic jumps in the resulting flow patterns.For Gamma greater than or similar to 1.5 the transcritical similarity theory is found to be inaccurate and, for small M, flow patterns are well described by a supercritical theory, in which the flow is determined by the linear solution near the obstacle. In this regime the drag is shown to be c(d)M(2)/(F root F-2 - 1), where c(d) is a constant dependent on the obstacle shape. Away from the obstacle, in non-dispersive flow the far-field behaviour is known to be described by the N-wave theory of Whitham and in dispersive flow by the Kortewegde Vries equation. In the latter case the number of emergent solitary waves in the wake is shown to be a function of A = 3M/(2 delta(2) root F-2 - 1), where delta is the ratio of the undisturbed layer depth to the radial scale of the obstacle

I-radicals and right perfect rings

We determine the rings for which every hereditary torsion theory is an S-torsion theory in the sense of Komarnitskiy. We show that such rings admit a primary decomposition. Komarnitskiy obtained this result in the special case of left duo rings.Визначено кільця, для яких кожна теорія скруту з успадкуванням є теорією S-скруту у сенсі Комарницького. Показано, що такі кільця допускають первинний розклад. Комарницький отримав цей результат у частинному випадку лівих дуо-кілець

Classification of cyclic braces

AbstractEtingof, Schedler, and Soloviev have shown [P. Etingof, T. Schedler, A. Soloviev, Set-theoretical solutions to the quantum Yang–Baxter equation, Duke Math. J. 100 (1999) 169–209] that T-structures on cyclic groups come from bijective 1-cocycles and thus give rise to solutions of the quantum Yang–Baxter equation. At the end of their paper, they ask for a classification of T-structures on cyclic groups, especially p-groups. We solve the latter problem by means of generalized radical rings (=braces)

Synthesis

Handbook entry on "Synthesis," surveying the roles played by synthesis in Husserl, important precursors in the history of philosophy, and the legacy of the term in Heidegger and Merleau-Ponty

From Word to Flesh: Embodied Racism and the New Politics

This article stems from my presentation at the 2020 Symposium of the Kripke Center for the Study of Religion and Society, whose theme was "Religion and the New Politics." The article is written for an interdisciplinary audience. Drawing on resources from the philosophical tradition of phenomenology and putting them into dialogue with an important theme in Christian theology, I argue that there is a distinctly non-discursive, embodied form of racism that should be recognized and addressed by the new politics. Because this form of racism occurs not at the familiar level of discourse (word), but in the often unconscious habitualities of the lived body (flesh), it resists common antiracist strategies, and seems to be outside the purview of responsibility and of willful, rational change (the logos). I situate these underlying issues with regard to the traditional opposition between mind and body, and then offer a reinterpretation of them by way of some key phenomenological concepts: intentionality, the lived body, the critique of scientism, motivation, and empathy. I conclude that embodied racism is something which is open to an extended conception of rationality that includes the lived body, and for which we are responsible. I then suggest some antiracist political strategies that put these theoretical considerations to use through attention to embodied spaces and practices