In this paper we will offer a few examples to illustrate the orientation of contemporary research in data analysis and we will investigate the corresponding role of mathematics. We argue that the modus operandi of data analysis is implicitly based on the belief that if we have collected enough and sufficiently diverse data, we will be able to answer most relevant questions concerning the phenomenon itself. This is a methodological paradigm strongly related, but not limited to, biology, and we label (...) it the microarray paradigm. In this new framework, mathematics provides powerful techniques and general ideas which generate new computational tools. But it is missing any explicit isomorphism between a mathematical structure and the phenomenon under consideration. This methodology used in data analysis suggests the possibility of forecasting and analyzing without a structured and general understanding. This is the perspective we propose to call agnostic science, and we argue that, rather than diminishing or flattening the role of mathematics in science, the lack of isomorphisms with phenomena liberates mathematics, paradoxically making more likely the practical use of some of its most sophisticated ideas. (shrink)

In this paper, we provide a logical formalization of the emotion triggering process and of its relationship with mental attitudes, as described in Ortony, Clore, and Collins’s theory. We argue that modal logics are particularly adapted to represent agents’ mental attitudes and to reason about them, and use a specific modal logic that we call Logic of Emotions in order to provide logical definitions of all but two of their 22 emotions. While these definitions may be subject to debate, we (...) show that they allow to reason about emotions and to draw interesting conclusions from the theory. (shrink)

... the topic of 'meaning' is the one topic discussed in philosophy in which there is literally nothing but 'theory' - literally nothing that can be labelled or even ridiculed as the 'common sense view'. Putnam, 'The Meaning of Meaning' This book explores some truths behind the truism that experimentation is a hallmark of scientific activity. Scientists' descriptions of nature result from two sorts of encounter: they interact with each other and with nature. Philosophy of science has, by and large, (...) failed to give an account of either sort of interaction. Philosophers typically imagine that scientists observe, theorize and experiment in order to produce general knowledge of natural laws, knowledge which can be applied to generate new theories and technologies. This view bifurcates the scientist's world into an empirical world of pre-articulate experience and know how and another world of talk, thought and argument. Most received philosophies of science focus so exclusively on the literary world of representations that they cannot begin to address the philosophical problems arising from the interaction of these worlds: empirical access as a source of knowledge, meaning and reference, and of course, realism. This has placed the epistemological burden entirely on the predictive role of experiment because, it is argued, testing predictions is all that could show that scientists' theorizing is constrained by nature. Here a purely literary approach contributes to its own demise. The epistemological significance of experiment turns out to be a theoretical matter: cruciality depends on argument, not experiment. (shrink)

In this paper I respond to Robert Taylor's argument that a Rawlsian framework does not support strong affirmative action programs. The paper makes three main arguments. The first disputes Taylor's claim that strong AA would not be needed in ideal conditions. Private racial discrimination, I suggest, might still exist in such conditions, so strong AA might be needed there. The second challenges Taylor's claims that pure procedural justice constrains Rawlsian nonideal theory. I argue that this rests on a fetishizing of (...) pure procedural justice that is absent from Rawls's work. I also show that a revised formulation of Taylor's concern here also fails. My third argument makes a positive Rawlsian case for strong AA in nonideal conditions that builds on a Taylor concession. Taylor suggests that the goal of nonideal theory is to create a world in which ideal theory can be applied. My argument begins by showing that another permissible goal of Rawlsian nonideal theory is to ameliorate injustice. I then argue that Rawls's contractualist framework supports the strongest forms of AA when category 3 interventions are blocked. (shrink)

In over thirty lines of the Agamemnon I think I discern lurking in the apparatus of modern editions truths unnoticed by recent editors, and needing for the most part merely redivision, repunctuation, or reaccentuation to become recognizable. At a few points I offer alternative interpretations of readings that have been accepted by some at least among modern editors.

D.C. Schindler reminds us that the motto of Villanova consists of three terms: Unitas, Caritas and Veritas. Postmodern philosophy is keen to malign good Veritas as an exercise in oppression, something which must be avoided if we truly want to reach universal care and unity. In opposition to this trend, Schindler illustrates how Desmond’s philosophy is capable of giving truth its dues against the assaults of Vattimo and others, but also and more importantly that truth serves as foundational for unity (...) and care. Building from Desmond’s Intimate Universal, Schindler illustrates how care and unity need an ontological grounding in truth in order to be more than merely superficial. (shrink)

In Reconstruction in Philosophy, John Dewey issued an eloquent call for contemporary philosophy to become more relevant to the pressing problems facing society. Historically, the philosophy of a period had been appropriate to social conditions, but despite the vast changes in the contemporary world and the complex challenges confronting it philosophy had remained ossified. Karl Popper also was dissatisfied with contemporary philosophy, which he regarded as too often focusing upon “minute” problems. Both Dewey and Popper, however, were optimistic that the (...) situation could be turned around. In this essay D.C. Phillips argues that the resources they mustered give no basis for this optimism; in particular, Phillips emphasizes that philosophy cannot have traction with closed‐minded or fanatical individuals. Dewey passed over cases where his ideas about democratic processes and free intellectual exchange faced intractable difficulties, according to Phillips, and he further suggests that Popper “waffled” over the so‐called “myth of the framework.”. (shrink)

I give some reason for accepting a form of the view that there is some logical, And not just contingent, Connection between publicly observable behavior and a person's psychological states. If my contentions are sound, They open the way to the enterprise of delineating a stratification of psychological state concepts. This involves determining which mental concepts are logically connected to observable behavior and how the other categories of mental states are specified on the basis of these.

This chapter presents and illustrates fundamental principles of the intuitionistic mathematics devised by L.E.J. Brouwer and then describes in largely nontechnical terms metamathematical results that shed light on the logical character of that mathematics. The fundamental principles, such as Uniformity and Brouwer’s Theorem, are drawn from the intuitionistic studies of logic and topology. The metamathematical results include Gödel’s negative and modal translations and Kleene’s realizability interpretation. The chapter closes with an assessment of anti-realism as a philosophy of intuitionism.

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but in the current paper we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behaviour of the propagators are changed substantially. We find the very intriguing result that the gluon propagator vanishes in the (...) infrared exactly like p2, whilst the ghost propagator is exactly as singular as 1/p4. We also find that the value of the infrared fixed point of the QCD coupling is much decreased from the y-max estimate: it is now equal to 4π/3. Following a recent study by von Smekal et al.[1], we analyzed in Ref.[2] the coupled Dyson- Schwinger equations for the gluon and ghost form factors F and G. The approximations were two-fold: firstly the vertices were taken bare, and secondly angular averaging was introduced (the so-called y-max approximation). Deferring to later work an improvement of the vertices. (shrink)

The author claims to prove by example that, Contrary to what is generally maintained, A singular preposition of an observational kind is in some cases deducible from a natural law alone. On this basis he raises the question whether the universe might not be deterministic in a 'hyper-Laplacean' sense: that is, Whether the laws of nature might not be logically sufficient on their own to determine every actual state of the universe.

This intervention queries whether subjecting feminist jurisprudence to a methodological transfiguration toward pragrammatology (Derrida, in Smith and Kerrigan 1984) holds liberating potential for f (be it ‘woman’, ‘female’ or ‘feminine’) as both a signifier and a subject to be read with lucidity and nuance in feminist justice claims. I examine feminist jurisprudence’s methodological challenges in the settler colonial context of Alaska with respect to the murders of Della Brown (in 2000) and Mindy Schloss (in 2007). I advance my case for (...) pragrammatology as a critical methodology for feminist jurisprudence by subjecting the case(s) of Brown and Schloss to a more lucid (re)reading in two related and intersecting moves. First, I trace and deconstruct the citations of Brown and Schloss’ legal narratives to expose violence in the systemisation of f as a power and legal relation (Ahmed in Soc Legal Stud 4:55–73, 1995). I then examine the paradoxical nature of f justice claims which necessitate a pragrammatological approach. I conclude by advancing counsel on how we might move within paradox. (shrink)

Mencius, who lived in the 4th century B.C., is second only to Confucius in importance in the Confucian tradition. The _Mencius_ consists of sayings of Mencius and conversations he had with his contemporaries. When read side by side with the _Analects_, the _Mencius_ throws a great deal of light on the teachings of ConfuciusMencius developed many of the ideas of Confucius and at the same time discussed problems not touched upon by Confucius. He drew out the implications of Confucius' moral (...) principles and reinterpreted them for the conditions of his time. As the fullest of the four great Confucian texts, the _Mencius_ has been the required reading amongst Chinese scholars for two thousand years, and it still throws considerable light on the character of the Chinese people. (shrink)