Recent decades have witnessed the extraordinary growth of radical relativism, a doctrine which now dominates the entire culture, from popular music to journalism and from religion to school curricula. According to the radical relativist creed, any proposition can be true or false in relation to a chosen framework, the evaluation of fundamental theories or 'paradigms' is beyond argument, there are no universal standards of rationality, and, methodologically, 'Anything goes!'. As James Harris explains in Against Relativism, the new relativism (...) undoes the work of the Enlightenment and inevitably leads to the conclusion that Galileo was wrong to insist that the Earth indeed moves. Succor for relativism has come from many philosophical schools, both Analytic and 'Continental'. Among the sources of the new relativism are the collapse of Logical Positivism and the shift within anthropology from a linear evolutionary model to numerous models for understanding human culture. In this detailed critique, Professor Harris has selected the strongest and most plausible arguments for relativism within contemporary academic philosophy. He turns the techniques of relativism against relativism itself, showing that it is ultimately self-refuting or otherwise ineffectual. He demonstrates that Quine's rejection of the analytic-synthetic distinction appeals to the very analytic truths Quine tries to dispel; that Kuhn's celebrated account of paradigms must be either self-refuting or unintelligible; that Rorty cannot avoid presuppposing the epistemological principles he attacks; and that (although feminist criticisms of science exert a welcome corrective) attempts to develop a distinctively 'feminist science'are misconceived and unhelpful to feminism. In all these discussions, the author explains the arguments he is criticizing, for the benefit of the non-specialist reader, so that this work can serve as a partisan but fair introduction to some of the most important of present-day philosophy. (shrink)

In all these discussions, the author explains the arguments he is criticizing, for the benefit of the non-specialist reader, so that this work can serve as a ...

The title of this volume -- Logic, God and Metaphysics -- is carefully chosen and, at the same time, descriptive of its main focus. In the twentieth century, the interests of most philosophers and theologians have fallen into only one of the three areas indicated -- logic, god or metaphysics. Since much of Anglo-American philosophy in this century has been analytic and antimetaphysical because of the influence of positivism, there have been few attempts at continuing metaphysical inquiry. In the early (...) part of the century, the logical atomists combined logic and metaphysics by arguing that the structure of reality is mirrored isomorphically in the structure of a formal, logically perfect, truth-functional language, but their effort was short-lived. Alfred North Whitehead and process philosophers have focused upon god and metaphysics but usually by adopting terminology and distinctions which are unique to certain systems -- making rigorous, logical analysis difficult or impossible. The papers included in this volume are illustrative of the application of careful, rigorous logical analysis to do critical philosophy of religion and what has been called constructive metaphysics. (shrink)

Classic rock of the 1960s and early 1970s broke away from the harmless bubblegum and surfing music of the 1950s to become a vehicle for profound commentary upon the human condition. Theories and motifs from major figures in the history of philosophy, theology and literature were refracted and transfigured in this intelligent new popular art form.

The purpose of this article is to provide a theoretical review of the moral disengagement literature, integrating research that has been completed as well as identifying thought lacunas, including the subfield of organizational moral disengagement. It is proposed that because moral disengagement is an inherently interpersonal phenomenon, organizational moral disengagement should be a salient concern of both organizational and management researchers. A conceptual framework of organizational moral disengagement is suggested, examining moral disengagement at both the employee as well as manager/executive (...) level. Lastly, a series of propositions are proffered in order to provide direction to organizational moral disengagement researchers, including the proposition that moral disengagement is a function of interpersonal proximity and the possession or lack of organizational power. Methods for effectively studying organizational moral disengagement are suggested. (shrink)

We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the (...) brain can transform and organize its perceptual intake. It is not necessary for a geometrical form to be perfectly instantiated in order for perception of such a form to be the basis of a geometrical concept. (shrink)

Previous studies of corporate environmental and social action identify exactly three similar patterns of activity. They provide divergent structural explanations for these patterns, as networks of institutional constraint, and networks of local inter-dependence, respectively. A theory of sociocultural viability, known in anthropology and policy science as Cultural Theory, explains that social systems consist of four patterns of social interaction, shaped by two distinct structural factors. Our own analysis of 45 items of environmental, social, and governance factors reconcile extant studies’ findings (...) with Cultural Theory’s expectations. Although earlier studies of corporate social action observed only three patterns of activity, our analysis uncovered the fourth, and that diverging structural explanations of earlier studies are partial and complementary, clarified by Cultural Theory. Our call for further study leverages the normative dimension of Cultural Theory, which specifies policy processes that privilege human decency over parochial preference functions. (shrink)

Euphemistically named “pull-ups” are a visually engaging and increasingly engineeredsanitaryproduct designed to capture a market that less than one generation ago was toilet trained at the age of the girl pictured on the packaging.

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

Review of James Franklin, The Science of Conjecture: Evidence and Probability Before Pascal (Johns Hopkins University Press, 2001).

Explains Aristotle's views on the possibility of continuous variation between biological species. While the Porphyrean/Linnean classification of species by a tree suggests species are distributed discretely, Aristotle admitted continuous variation between species among lower life forms.

Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...) and lower in costs than feasible alternatives. In the light of empirical findings, we argue that the programs fail the three requirements. Pursuing recreational drug users is not important in the light of costs incurred, while dependent users who may require referral are usually identifiable without testing and typically need a broader approach than one focussing on drugs. Drug testing of welfare recipients is therefore not ethically acceptable policy. (shrink)

A polemical account of Australian philosophy up to 2003, emphasising its unique aspects (such as commitment to realism) and the connections between philosophers' views and their lives. Topics include early idealism, the dominance of John Anderson in Sydney, the Orr case, Catholic scholasticism, Melbourne Wittgensteinianism, philosophy of science, the Sydney disturbances of the 1970s, Francofeminism, environmental philosophy, the philosophy of law and Mabo, ethics and Peter Singer. Realist theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...) and the ethical realism of Rai Gaita and Catholic philosophers. In addition to strict philosophy, the book treats non-religious moral traditions to train virtue, such as Freemasonry, civics education and the Greek and Roman classics. (shrink)

How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of induction before Hume, design arguments for (...) the existence of God, and theories on how to evaluate scientific and historical hypotheses. It is explained how Pascal and Fermat's work on chance arose out of legal thought on aleatory contracts. The book interprets pre-Pascalian unquantified probability in a generally objective Bayesian or logical probabilist sense. (shrink)

Georges Florovsky’s essay ‘On the Grounding of Logical Relativism’ has attracted attention from various theologians and students of Russian thought but has until now avoided a serious philosophical analysis and critique. The complex but thought-provoking essay presents Florovsky’s so-called logical relativism, a position which he seemed to maintain for the rest of his career. This paper will show that by conflating ‘scientific’ with ‘alethic’ relativism, Florovsky exposed himself to detrimental philosophical and theological critique. After some methodological remarks, the first part (...) of the paper will introduce Florovsky’s article, and present its central argument as a scientific relativism which is then conflated with a truly logical or alethic relativism. The second and third parts will highlight the philosophical and theological problems with Florovsky’s position. (shrink)

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares these (...) options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

This study examines the notion of antinomy, or unavoidable contradiction, in the work of Pavel Florensky. Many Russian philosophers of the Silver Age shared a common conviction which is yet to receive sufficient attention in critical literature, either in Russia or abroad. This is namely a philosophical and theological dependence on unavoidable contradiction, paradox, or antinomy. The history of antinomy and its Russian reception is introduced here before a new framework for understanding Russian antinomism is defended. This is namely the (...) anticipation of ‘vertical’ antinomies in ‘horizontal’ antinomies. Here, by ‘horizontal’ we suppose an unavoidable contradiction of reason or philosophical reflection, and by ‘vertical’ an unavoidable contradiction of revelation, faith, or a self-contradictory dogma. The study aims to demonstrate that Florensky fails to provide a satisfactory anticipation of vertical antinomies. (shrink)

In What Science Knows, the Australian philosopher and mathematician James Franklin explains in captivating and straightforward prose how science works its magic. It offers a semipopular introduction to an objective Bayesian/logical probabilist account of scientific reasoning, arguing that inductive reasoning is logically justified (though actually existing science sometimes falls short). Its account of mathematics is Aristotelian realist.

James Beattie was appointed professor of moral philosophy and logic at Marischal College, Aberdeen, Scotland at the age of twenty-five. Though more fond of poetry than philosophy, he became part of the Scottish 'Common Sense' school of philosophy that included Thomas Reid and George Campbell. In 1770 Beattie published the work for which he is best known, An Essay on Truth, an abrasive attack on 'modern scepticism' in general, and on David Hume in particular, subsequently and despite Beattie's attack, (...) Scotland's most famous philosopher. The Essay was a great success, earning its author an honorary degree from Oxford and an audience with George III. Samuel Johnson declared in 1772 that 'We all love Beattie'. Hume, on the other hand, described the Essay as 'a horrible large lie in octavo', and dismissed its author as a 'bigotted silly Fellow'. Although Beattie is no match for Hume as a philosopher, the success of the Essay suggests that, unlike Hume, Beattie voices the characteristic assumptions, and anxieties, of his age. The first part of this selection—the first ever made from Beattie's prose writings—includes several key chapters from the Essay on Truth, along with extracts from all of Beattie's other works on moral philosophy. The topics treated include memory, the existence of God, the nature of virtue, and slavery. The second part of the selection is devoted to Beattie's contributions to literary criticism and aesthetics. Beattie's studies of poetry, music, taste, and the sublime are vital to the understanding of the literary culture out of which developed the early Romanticism of Wordsworth and Coleridge. (shrink)

Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few (...) who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds. (shrink)

Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.

This paper concerns the Russian émigrée translator and philosopher Natalie Duddington (1886–1972). By establishing Duddington’s dependence on Nicholas Lossky (1870–1965), the paper argues that Duddington formed a unique synthesis of Russian intuitivism and British realism in her essay ‘Our Knowledge of Other Minds’. Despite the historical significance of Duddington’s work, it will be concluded that her synthesis succumbs to the most recent criticism which has been posed against perceptualists such as Fred Dretske (1932–2013). Russian ‘intuitivism’ is understood here as the (...) school of thought that was first developed by Lossky and subsequently inherited by Duddington. ‘Perceptualism’ will be understood as the broad claim that we perceive the contents of another mind in an immediate way rather than infer them. (shrink)

A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...) of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it. (shrink)

Mathematicians often speak of conjectures as being confirmed by evidence that falls short of proof. For their own conjectures, evidence justifies further work in looking for a proof. Those conjectures of mathematics that have long resisted proof, such as the Riemann hypothesis, have had to be considered in terms of the evidence for and against them. In recent decades, massive increases in computer power have permitted the gathering of huge amounts of numerical evidence, both for conjectures in pure mathematics and (...) for the behavior of complex applied mathematical models and statistical algorithms. Mathematics has therefore become (among other things) an experimental science (though that has not diminished the importance of proof in the traditional style). We examine how the evaluation of evidence for conjectures works in mathematical practice. We explain the (objective) Bayesian view of probability, which gives a theoretical framework for unifying evidence evaluation in science and law as well as in mathematics. Numerical evidence in mathematics is related to the problem of induction; the occurrence of straightforward inductive reasoning in the purely logical material of pure mathematics casts light on the nature of induction as well as of mathematical reasoning. (shrink)

In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...) localized a faculty to register them. We defend the perception of necessity against such Humeanism, drawing on examples from mathematics. (shrink)

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

Aristotelian, or non-Platonist, realism holds that mathematics is a science of the real world, just as much as biology or sociology are. Where biology studies living things and sociology studies human social relations, mathematics studies the quantitative or structural aspects of things, such as ratios, or patterns, or complexity, or numerosity, or symmetry. Let us start with an example, as Aristotelians always prefer, an example that introduces the essential themes of the Aristotelian view of mathematics. A typical mathematical truth is (...) that there are six different pairs in four objects: Figure 1. There are 6 different pairs in 4 objects The objects may be of any kind, physical, mental or abstract. The mathematical statement does not refer to any properties of the objects, but only to patterning of the parts in the complex of the four objects. If that seems to us less a solid truth about the real world than the causation of flu by viruses, that may be simply due to our blindness about relations, or tendency to regard them as somehow less real than things and properties. But relations (for example, relations of equality between parts of a structure) are as real as colours or causes. (shrink)

Dispostions, such as solubility, cannot be reduced to categorical properties, such as molecular structure, without some element of dipositionaity remaining. Democritus did not reduce all properties to the geometry of atoms - he had to retain the rigidity of the atoms, that is, their disposition not to change shape when a force is applied. So dispositions-not-to, like rigidity, cannot be eliminated. Neither can dispositions-to, like solubility.

The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article (...) explains the distinction and why it has proved to be one of the great organizing themes of mathematics. (shrink)

Einstein, like most philosophers, thought that there cannot be mathematical truths which are both necessary and about reality. The article argues against this, starting with prima facie examples such as "It is impossible to tile my bathroom floor with regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.