On Hilbert extensions of Weierstrass' theorem with weights

In this paper we study the set of functions \GG-valued which can be approximated by \GG-valued continuous functions in the norm L^\infty_{\GG}(I,w), where $I$ is a compact interval, \GG is a real and separable Hilbert space and $w$ is certain \GG-valued weakly measurable weight. Thus, we obtain a new extension of celebrated Weierstrass approximation theorem.Comment: Corrected version, 14 page

Post-Truth as a Feature of Hypermodern Times

In this paper I will defend the idea of the success of post-truth as one of the main features of hypermodernity. In order to understand such a claim, I will start by defining “post-truth” and showing the key differences that separate it from simple manipulation or lies. I will explain how post-truth characterizes a whole new way of understanding the difference between truth and falsity: a new attitude of indifference to the sharp distinction that moderns and ancients had placed between these two notions. I will contend that this new attitude had been announced by the work of at least three recent philosophers: Harry Frankfurt, Gianni Vattimo and Mario Perniola. They give different names to “post-truth”, though, and attribute it to different causes (from anti-intellectualism to the new media and to sheer carelessness). After that, I will explore how two key aspects of hypermodernity (according to Gilles Lipovetsky), i.e. hyperindividualism and hyperconsumption, cohere with this spread of post-truth. Finally, I will summarily refer to some political and geopolitical events that corroborate the relevance of post-truth in our hypermodern world

Postmodernism is not a Relativism. Communication Practices and Ethical Attitudes in some Postmodern Thinkers

The different “postmodern” philosophies that arose from the 1970s to the 1990s have often been considered as a kind of irrationalist-skeptical-relativist “ideology” or assorted amalgam, which in our time would dangerously take over the philosophical academy and western cultures, with grave risk for universalist or simply rationalist projects. Nevertheless, as the title of this article shows, a closer examination of some trends of postmodern thought would be able to perceive that they not only are uncomfortable with the label “relativist,” “irrationalist” or “skeptical,” but also that they offer substantial arguments against, for example, the main theses of relativism. Naturally, none of these trends has any qualms about abominating universalism as well (the presumed mortal enemy of the relativists). Thus the most sensible conclusion would be that what really seems erroneous to authors such as those we shall approach here is the presumed dilemma (presented as inevitable) between relativism and universalism (it is curious that, at least as far as faith in the existence of such a dichotomy is concerned, these presumed irreconcilable enemies, which both the relativists and the universalists believe themselves to be, are plainly in agreement). Only if they subscribe to such a rejection of this dilemma could it be explained that important thinkers of the heterogeneous postmodern group (such as those whom I propose to have a dialogue with in this article) have scorned, on the one hand, any and all universal project of rationality, but have also strongly disallowed relativist proposals (just as, naturally, they have likewise taken advantage of the issue to deny their presumed adherence to relativism as such). This idea, however, has not been understood by a large part of the scholars involved today in epistemology and practical philosophy (the two philosophical specialties in which one most frequently faces the question of relativism). To approach this understanding, therefore, perhaps it would not be amiss to review the different arguments that some postmodern thinkers use against relativism. Specifically, we shall tale a look at the reasoning in this sense that has come from Gianni Vattimo (1936), Paul K. Feyerabend (1924-1994), and Richard Rorty (1931). All of them have too often had to suffer from the suspicion of being considered as relativists. To absolve philosophers such as these from such an accusation seems to be a sine qua non condition for understanding their true position towards the universalism versus relativism dilemma

Enrique Dussel and Liberation Theology: Violence or Dialogue?

For centuries, several disciplines have tried to tackle the topic of how legitimate it is to use violence in order to solve social problems. One of the most recent interdisciplinary approaches (and one of the most successful in present-day Latin America) is the so-called “Ethics of Liberation,” designed by Enrique Dussel. Based on the Theology of Liberation, this theory goes beyond the limits of theology as a discipline and pleads for three ethical criteria that every political revolution must fulfill to use violence in a legitimate way. The first is a formal criterion, which basically takes after the ideal dialogue situation endorsed by Karl-Otto Apel and Jürgen Habermas, and purports to be rooted in yet another discipline, linguistics. The second is a material criterion, defined as the upshot of an acceptable welfare for all citizens, thus intimately linked with the discipline of economy and political philosophy. The third is a criterion of feasibility, which makes a revolt legitimate if, and only if, it has a reasonable possibility of succeeding; hence strategic issues take a leading role. This essay contends that each of these criteria is conceptually incompatible with violence. Hence, Dussel’s arguments involve multiple contradictions as he aims to justify the use of violence precisely with these interdisciplinary criteria

Preferences, Comparative Advantage, and Compensating Wage Differentials for Job Routinization

I attempt to explain why compensating differentials for job disamenities are difficult to observe. I focus on the match between workers’ preferences for routine jobs and the variability in tasks associated with the job. Using data from the Wisconsin Longitudinal Study, I find that mismatched workers report lower job satisfaction and earn lower wages. Both male and female workers in routinized jobs earn, on average, 12% less than their counterparts in non-routinized jobs. Once preferences and mismatch are accounted for, this difference decreases to 8% for men and 5% for women. Accounting for mismatch is important when analyzing compensating differentials.wage differentials, preferences, job attributes, routine tasks, mismatch

Design of Experiments Approach for Statistical Classification of Stereolithography Manufacturing Build Parameters: Effects of Build Orientation on Mechanical Properties for ASTM D-638 Type I Tensile Test Specimens of DSM Somos® 11120 Resin

A statistical design of experiments (DOE) approach was used to determine if specific build orientation parameters impacted mechanical strength of fabricated parts. A single platform (10- inch by 10 inch cross-section) on the 3D Systems Viper si2 machine was designed to hold 18, ASTM D-638 Type I samples built in six different orientations (called Location) with three samples built for each location. The DOE tested four factors: Location, Position, Axis, and Layout. Each sample within a Location was labeled as Positions 1, 2, or 3 depending on the distance from the center of the platform with Position 1 being the closest to the center. Samples were fabricated parallel with the x-axis, y-axis, or 45o to both axes (called Axis 1, 2, and 3, respectively) and were fabricated either flat or on an edge relative to the x-y plane (called Layout 1 and 2, respectively). The results from the statistical analyses showed that Axis, Location, and Position had no significant effect on UTS or E. However, Layout (or whether a sample was built flat or on an edge) was shown to have a statistically significant effect on UTS and E (at a 95% level of confidence). This result was not expected since a comparison of the average UTS for each Layout showed only a 1.2% difference (6966 psi versus 7050 psi for samples built flat and on an edge, respectively). Because of the small differences in means for UTS, the statistical differences between Layout most likely would not have been identified without performing the DOE. Furthermore, Layout was the only factor that tested different orientations of build layers (or layer-to-layer interfaces) with respect to the sample part, and thus, it appears that the orientation of the build layer with respect to the fabricated part has a significant effect on the resulting mechanical properties. This study represents one of many to follow that is using statistical analyses to identify and classify important fabrication parameters on mechanical properties for layer manufactured parts. Although stereolithography is the focus of this work, the techniques developed here can be applied to any layered manufacturing technology.Mechanical Engineerin

The reliability of self-reported home values in a developing country context

We analyze the reliability of homeowners¿ estimates of the value of their houses, in a household survey (of poor suburbs) of a developing country. We show that non-response to the home value question by the owner is uncorrelated with the appraised value of the house and other demographic characteristics of the respondent. We also document that homeowners with long tenure largely overestimate the value of their home. Moreover, both the bias and the lack of precision in homeowners¿ estimates are correlated with tenure, but not with socioeconomic characteristics. However, we also show that self-reported home values from short-tenure homeowners can be used to obtain unbiased and precise estimates of the average house value at the census tract level.bias, inaccuracy, housing prices, owners¿ estimates, appraised values.

Fast, Accurate and Robust Adaptive Finite Difference Methods for Fractional Diffusion Equations: The Size of the Timesteps does Matter

The computation time required by standard finite difference methods with fixed timesteps for solving fractional diffusion equations is usually very large because the number of operations required to find the solution scales as the square of the number of timesteps. Besides, the solutions of these problems usually involve markedly different time scales, which leads to quite inhomogeneous numerical errors. A natural way to address these difficulties is by resorting to adaptive numerical methods where the size of the timesteps is chosen according to the behaviour of the solution. A key feature of these methods is then the efficiency of the adaptive algorithm employed to dynamically set the size of every timestep. Here we discuss two adaptive methods based on the step-doubling technique. These methods are, in many cases, immensely faster than the corresponding standard method with fixed timesteps and they allow a tolerance level to be set for the numerical errors that turns out to be a good indicator of the actual errors