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)

God and the City, based on the Aquinas Lecture delivered at the University of Dallas in 2022, aims to think about politics ontologically. In other words, it seeks to reflect on, not some political theory or other, nor on the legitimacy of political action or the distinctiveness of particular regimes, but on the nature of political order as such, and how this order implicates the fundamental questions of existence, those concerning man, being, and God. Aristotle, and Aquinas after him, identified (...) metaphysics and politics as "architectonic" sciences, since each concerns in some respect the whole of reality, of which the particular sciences study a part. Chapter one of this book argues that, just as metaphysics, in studying being as a whole, cannot but address the question of God in some respect, so too does politics, the ordering of human life as a whole, necessarily implicate the existence of God. In this regard, the modern liberal project has deluded itself in attempting to render religion a private, rather than a genuinely political, matter. We cannot organize human existence without making some claim, whether implicitly or explicitly, about the nature of God and God's relation to the world. The second chapter approaches this theme from the anthropological dimension. As Plato affirmed, the "city is the soul writ large": if man is religious by nature, he cannot be properly understood, and the human good cannot be properly secured and fostered, if the "God question" is "bracketed out" of the properly political order. Moreover, if we fail to recognize the essentially political dimension of relation to God, we will be unable properly to grasp the presence of God in the (ecclesial and sacramental) Body of Christ: God cannot be real in the Church as Church unless he is also real in the city as city (and vice versa). In his De regno, Aquinas famously affirms that "the king is to be in the kingdom what the soul is in the body and what God is in the world." Chapter three offers a careful study of the body-soul relationship in order to illuminate, on the one hand, the nature of political authority, and, on the other, the precise way that God is present in human community. (shrink)

A record of the words and teachings of Confucius, _The Analects_ is considered the most reliable expression of Confucian thought. However, the original meaning of Confucius's teachings have been filtered and interpreted by the commentaries of Confucianists of later ages, particularly the Neo-Confucianists of the Song dynasty, not altogether without distortion.In this monumental translation by Professor D. C. Lau, an attempt has been made to interpret the sayings as they stand. The corpus of the sayings is taken as an organic (...) whole and the final test of the interpretation rests on the internal consistency it exhibits. In other words, _The Analects_ is read in the light of _The Analects._This results in a truer understanding of Confucius' thought than the traditional interpretation and paves the way for a re-assessment of its importance in the history of Chinese thought and its relevance to the present day world.This volume also contains an introduction to the life and teachings of Confucius, and three appendices on the events in the life of Confucius, on his disciples, and on the composition of _The Analects._. (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)

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)

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.

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (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)

This paper argues that the concept and role of ‘institutional racism’ in contemporary discussions of race should be reconsidered. It starts by distinguishing between ‘intrinsic institutional racism’, which holds that institutions are racist in virtue of their constitutive features, and ‘extrinsic institutional racism’, which holds that institutions are racist in virtue of their negative effects. It accepts intrinsic institutional racism, but argues that a ‘disparate impact’ conception of extrinsic conception faces a number of objections, the most serious being that it (...) has no plausible account of what it is that makes extrinsically racist institutions racist. It also argues that claims about the explanatory indispensability of institutional racism are overstated (individual racism is at least as important), critiques structural approaches to racial inequality, and suggests that there is reason to doubt whether institutional reform can provide us with all that morality may require in the racial domain. (shrink)

Current thinking and talk about race uses ‘racist’ for virtually everything that goes wrong in the domain of race. This paper examines the relationship between racial justice, racial discrimination and racism to argue for a more pluralistic approach to race-related ills. Such an approach provides the tools we need to understand an important if relatively neglected source of racial injustice, and does much to illuminate some race-related disputes. It starts by arguing that racial justice is a surprisingly limited ideal, and (...) then suggests understanding ‘racial discrimination’ in a minimal way. From there it is argued that while racial discrimination is necessary for racial injustice, the same is not true for racism. (shrink)

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.

This article argues that blacks should reject integration on self-protective and solidarity grounds. It distinguishes two aspects of black devaluation: a ‘stigmatization’ aspect that has to do with the fact that blacks are subject to various forms of discrimination, and an aesthetic aspect (‘phenotypic devaluation’) that concerns the aesthetic devaluation of characteristically black phenotypic traits. It identifies four self-worth harms that integration may inflict, and suggests that these may outweigh the benefits of integration. Further, it argues that, while the integrating (...) process may reduce stigmatization, there is less reason to think that it can do the same for phenotypic devaluation. (shrink)

Revonsuo argues that the biological function of dreaming is to simulate threatening events and to rehearse threat avoidance behaviors. He views recurrent dreams as an example of this function. We present data and clinical observations suggesting that (1) many types of recurrent dreams do not include threat perceptions; (2) the nature of the threat perceptions that do occur in recurrent dreams are not always realistic; and (3) successful avoidance responses are absent from most recurrent dreams and possibly nightmares. [Hobson et (...) al.; Revonsuo]. (shrink)

This paper suggests that empirical educational research has not, on the whole, been treated well by philosophers of education. A variety of criticisms have been offered, ranging from triviality, conceptual confusion and the impossibility of empirically studying normative processes. Furthermore, many of those who criticise, or dismiss, empirical research do so without subjecting any specific examples to careful scholarly scrutiny. It is suggested that both philosophy of education, and the empirical research enterprise, stand to profit if philosophers pay more attention (...) to real cases—and this attention is especially important at present, when research funding is being based on spurious scientistic criteria such as the use of ‘gold standard’ randomised experimental research designs. (shrink)

A diagonal version of the strong reflection principle is introduced, along with fragments of this principle associated with arbitrary forcing classes. The relationships between the resulting principles and related principles, such as the corresponding forcing axioms and the corresponding fragments of the strong reflection principle, are analyzed, and consequences are presented. Some of these consequences are “exact” versions of diagonal stationary reflection principles of sets of ordinals. We also separate some of these diagonal strong reflection principles from related axioms.

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)

This book examines the history of the concept of irony from the first appearance of?eironeia? in Plato to the modern era. It isolates and discusses the basic features of irony and the variable features that determine the kind and in part the effect or quality. It distinguishes carefully between the two main types : instrumental irony (of which verbal irony is the most common form) and observable irony (which includes dramatic irony, irony of events, general irony and other situational ironies). (...) A distinction is also drawn between open and closed irony. (shrink)

Augustan poets refer curiously often to the possible composition of a Gigantomachy, as in Prop. 2.1 and 3.9, Ov. Am. 2.1.11 ff., Trist. 2.61 ff. and 331 ff., and the future study of natural philosophy, as in Verg. Georg. 2.475 ff. and Prop. 3.5.25 ff. These ambitions are rejected, abandoned, or firmly set in the future. I suggest that the function of both is closely similar since they provide traditionally sublime themes to contrast the poet's present ‘humbler’’ task.