While the consequences of mathematically-based software, algorithms and strategies have become ever wider and better appreciated, ethical reflection on mathematics has remained primitive. We review the somewhat disconnected suggestions of commentators in recent decades with a view to piecing together a coherent approach to ethics in mathematics. Calls for a Hippocratic Oath for mathematicians are examined and it is concluded that while lessons can be learned from the medical profession, the relation of mathematicians to those affected by their work is (...) significantly different. There is something to be learned also from the codes of conduct of cognate but professionalised quantitative disciplines such as engineering and accountancy, as well as from legal principles bearing on professional work. We conclude with recommendations that professional societies in mathematics should sponsor an (international) code of ethics, institutional mission statements for mathematicians and syllabuses of ethics courses for incorporation into mathematics degrees. (shrink)

What is intellectual humility? In this essay, we aim to answer this question by assessing several contemporary accounts of intellectual humility, developing our own account, offering two reasons for our account, and meeting two objections and solving one puzzle.

The interventionist account of causal explanation, in the version presented by Jim Woodward, has been recently claimed capable of buttressing the widely felt—though poorly understood—hunch that high-level, relatively abstract explanations, of the sort provided by sciences like biology, psychology and economics, are in some cases explanatorily optimal. It is the aim of this paper to show that this is mistaken. Due to a lack of effective constraints on the causal variables at the heart of the interventionist causal-explanatory scheme, as presently (...) formulated it is either unable to prefer high-level explanations to low, or systematically overshoots, recommending explanations at so high of a level as to be virtually vacuous. (shrink)

A fascinating recent turn in epistemology focuses on inquiring attitudes like wondering and being curious. Many have argued that these attitudes are governed by norms similar to those that govern our doxastic attitudes. Yet, to date, this work has only considered norms that might *prohibit* having certain inquiring attitudes (``norms of restriction''), while ignoring those that might *require* having them (``norms of expansion''). We aim to address that omission by offering a framework that generates norms of expansion for inquiring attitudes. (...) The framework draws on inferential erotetic logic, which we explain and augment with some theorems. We explore several of the norms that it yields - some sympathetically, others unsympathetically. (shrink)

Both realist and anti-realist accounts of natural kinds possess prima facie virtues: realists can straightforwardly make sense of the apparent objectivity of the natural kinds, and anti-realists, their knowability. This paper formulates a properly anti-realist account designed to capture both merits. In particular, it recommends understanding natural kinds as ‘categorical bottlenecks,’ those categories that not only best serve us, with our idiosyncratic aims and cognitive capacities, but also those of a wide range of alternative agents. By endorsing an ultimately subjective (...) categorical principle, this view sidesteps epistemological difficulties facing realist views. Yet, it nevertheless identifies natural kinds that are fairly, though not completely, stance-independent or objective. (shrink)

This paper extends several themes from recent work on norms of assertion. It does as much by applying those themes to the speech act of asking. In particular, it argues for the view that there is a species of asking which is governed by a certain norm, a norm to the effect that one should ask a question only if one doesn’t know its answer.

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.

This paper critiques the new mechanistic explanatory program on grounds that, even when applied to the kinds of examples that it was originally designed to treat, it does not distinguish correct explanations from those that blunder. First, I offer a systematization of the explanatory account, one according to which explanations are mechanistic models that satisfy three desiderata: they must 1) represent causal relations, 2) describe the proper parts, and 3) depict the system at the right ‘level.’ Second, I argue that (...) even the most developed attempts to fulfill these desiderata fall short by failing to appropriately constrain explanatorily apt mechanistic models. -/- *This paper used to be called "The Emperor's New Mechanisms". (shrink)

This paper argues that questions can be bullshit. First it explores some shallowly interrogative ways in which that can happen. Then it shows how questions can also be bullshit in a way that’s more deeply interrogative.

I argue that recent attempts to vindicate blame have failed to fully face the vengeful feelings and angry outbursts that have led to scepticism about blame’s ethical status. This paper ende...

This study aims to determine the factors that may affect in constructing the contextualized learning activity sheets based on the learners’ results and the teachers’ self-assessment using a descriptive correlation research design. The findings of the study revealed that the teachers have varied levels of competence in terms of cultural knowledge and on average, they were at the Proficient level of competency. In addition, teachers’ self-assessments indicated that they strongly practiced the criteria in constructing contextualized IPED LAS. However, still at (...) the Advanced Beginner level based on the learners’ results. It can be concluded that teachers are competent in handling IPED based on their profile and cultural knowledge yet, Advance Beginners in terms of assessment skills. Teachers with higher educational qualifications improved their assessment skills. It is recommended that the regional and division IPED specialist should conduct quarterly training for teachers on the Indigenous Knowledge System and Practices (IKSP) and other IPED-related topics. Teachers may conduct indigenization mapping as part of the pedagogical strategy of handling IPED to encourage localization and indigenization of content. With the findings and results, the project ETASIP is made to aid teachers in planning for their assessment strategies. (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)

This paper explores the nature of curiosity from an epistemological point of view. First it motivates this exploration by explaining why epistemologists do and should care about what curiosity is. Then it surveys the relevant literature and develops a particular approach.

Comparative valuation of different policy interventions often requires interpersonal comparability of benefit. In the field of health economics, the metric commonly used for such comparison, quality adjusted life years (QALYs) gained, has been criticized for failing to respect the equality of all persons’ intrinsic worth, including particularly those with disabilities. A methodology is proposed that interprets ‘full quality of life’ as the best health prospect that is achievable for the particular individual within the relevant budget constraint. This calibration is challenging (...) both conceptually and operationally as it shifts dramatically when technology or budget developments alter what can be achieved for incapacitated individuals. The proposal nevertheless ensures that the maximal achievable satisfaction of one person’s preferences can carry no more intrinsic value than that of another. This approach, which can be applied to other domains of social valuation, thus prevents implicit discrimination against the elderly and those with irremediable incapacities. (shrink)

What is it about a person's becoming an adult that makes it generally inappropriate to treat that person paternalistically any longer? The Standard View holds that a mere difference in age or stage of life cannot in itself be morally relevant, but only matters insofar as it is correlated with the development of capacities for mature practical reasoning. This paper defends the contrary view: two people can have all the same general psychological attributes and yet the mere fact that one (...) person is at the beginning of a life and another in the middle of one can justify treating the younger person more paternalistically than the older one. Recognising the moral relevance of age, moreover, is crucial if one is to accommodate both the liberal moral ideal of respect for autonomy and our demanding educational aims, given that these otherwise come into conflict with one another. (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)

Philosophical discussions of species have focused on multicellular, sexual animals and have often neglected to consider unicellular organisms like bacteria. This article begins to fill this gap by considering what species concepts, if any, apply neatly to the bacterial world. First, I argue that the biological species concept cannot be applied to bacteria because of the variable rates of genetic transfer between populations, depending in part on which gene type is prioritized. Second, I present a critique of phylogenetic bacterial species, (...) arguing that phylogenetic bacterial classification requires a questionable metaphysical commitment to the existence of essential genes. I conclude by considering how microbiologists have dealt with these biological complexities by using more pragmatic and not exclusively evolutionary accounts of species. I argue that this pragmatism is not borne of laziness but rather of the substantial conceptual problems in classifying bacteria based on any evolutionary standard. (shrink)

Among the factors necessary for the occurrence of some event, which of these are selectively highlighted in its explanation and labeled as causes — and which are explanatorily omitted, or relegated to the status of background conditions? Following J. S. Mill, most have thought that only a pragmatic answer to this question was possible. In this paper I suggest we understand this ‘causal selection problem’ in causal-explanatory terms, and propose that explanatory trade-offs between abstraction and stability can provide a principled (...) solution to it. After sketching that solution, it is applied to a few biological examples, including to a debate concerning the ‘causal democracy’ of organismal development, with an anti-democratic (though not a gene-centric) moral. (shrink)

I start with a critical discussion of some attempts to ground epistemic normativity in curiosity. Then I develop three positive proposals. The first of these proposals is more or less purely philosophical; the second two reside at the interdisciplinary borderline between philosophy and psychology. The proposals are independent and rooted in different literatures. Readers uninterested in the first proposal (and the critical discussion preceding it) may nonetheless be interested in the second two proposals, and vice versa. -/- The proposals are (...) as follows. First I argue that, among several ways in which the notion of curiosity might be used to delineate significant truths from trivial ones, a particular way is the most promising. Second, I argue that curiosity has some underappreciated epistemic roles involving memory. Third, I argue that curiosity has some underappreciated epistemic roles involving coherence. (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.

Nearly all defences of the agent-causal theory of free will portray the theory as a distinctively libertarian one — a theory that only libertarians have reason to accept. According to what I call ‘the standard argument for the agent-causal theory of free will’, the reason to embrace agent-causal libertarianism is that libertarians can solve the problem of enhanced control only if they furnish agents with the agent-causal power. In this way it is assumed that there is only reason to accept (...) the agent-causal theory if there is reason to accept libertarianism. I aim to refute this claim. I will argue that the reasons we have for endorsing the agent-causal theory of free will are nonpartisan. The real reason for going agent-causal has nothing to do with determinism or indeterminism, but rather with avoiding reductionism about agency and the self. As we will see, if there is reason for libertarians to accept the agent-causal theory, there is just as much reason for compatibilists to accept it. It is in this sense that I contend that if anyone should be an agent-causalist, then everyone should be an agent-causalist. (shrink)

Blaming (construed broadly to include both blaming-attitudes and blaming-actions) is a puzzling phenomenon. Even when we grant that someone is blameworthy, we can still sensibly wonder whether we ought to blame him. We sometimes choose to forgive and show mercy, even when it is not asked for. We are naturally led to wonder why we shouldn’t always do this. Wouldn’t it be a better to wholly reject the punitive practices of blame, especially in light of their often undesirable effects, and (...) embrace an ethic of unrelenting forgiveness and mercy? In this paper I seek to address these questions by offering an account of blame that provides a rationale for thinking that to wholly forswear blaming blameworthy agents would be deeply mistaken. This is because, as I will argue, blaming is a way of valuing, it is “a mode of valuation.” I will argue that among the minimal standards of respect generated by valuable objects, notably persons, is the requirement to redress disvalue with blame. It is not just that blame is something additional we are required to do in properly valuing, but rather blame is part of what that it is to properly value. Blaming, given the existence of blameworthy agents, is mode of valuation required by the standards of minimal respect. To forswear blame would be to fail value what we ought to value. (shrink)

Abstract: Contemporary analytic philosophers of the “reactive attitudes” tend to share a simple conception of guilt as “self-directed blame”—roughly, an “unpleasant affect” felt in combination with, or in response to, the thought that one has violated a moral requirement, evinced substandard “quality of will,” or is blameworthy. I believe that this simple conception is inadequate. As an alternative, I offer my own theory of guilt’s logic and its connection to morality. In doing so, I attempt to articulate guilt’s defining thought (...) or proposition through an extended investigation and analysis of guilt’s many competing metaphors, which I trace from the Hebrew Bible to the New Testament to Shakespeare to contemporary vernacular. My interpretation of this literary genealogy offers a way to understand guilt’s seemingly disparate metaphors in terms of a single master-image that illuminates our self-conceptions and our relationship to morality. I conclude by making a very brief start toward a moral vindication of guilt against the backdrop of Nietzschean and Freudian analyses that explicitly call guilt’s place in a healthy social and personal life into question. I suggest that once guilt’s logic is made explicit, we can see that it makes sense of, honors, and addresses some of our deepest aspirations and needs. (shrink)

I argue that fitting resentment tracks unacceptable ‘ecological’ imbalances in relative social strength between victims and perpetrators that arise from violations of legitimate moral expectations. It does not respond purely, or even primarily, to offenders’ attitudes, and its proper targets need not be fully developed moral agents. It characteristically involves a wish for the restoration of social equilibrium rather than a demand for moral recognition or good will. To illuminate these contentions, I focus on cases that I believe demonstrate a (...) corollary thesis, namely, that strength, broadly construed, is a necessary condition of resentment-worthiness. I argue that weakness can make resentment unfitting in two ways. First, weakness may prevent a wrongdoer from shifting the balance of social power. Second, a weak wrongdoer may do social damage but be so lowly that resentment, which would represent him as excessively strong, would be inapt. Finally, I consider how accepting the ecological view might affect our theorizing about moral responsibility and the ethics of blame. (shrink)

Recent years have seen the rise of ‘Just Culture’ as an ideal in the patient safety movement, with numerous hospitals and professional organisations adopting a Just Culture response to incidents ranging from non-culpable human error to intentional misconduct. This paper argues that there is a deep problem with the Just Culture model, resulting from its impoverished understanding of the value of punitive, fundamentally backward-looking, practices of holding people accountable. I show that the kind of ‘accountability’ and ‘punishment’ contemporary Just Culture (...) advocates endorse disrespects both patients and providers. I claim, first, that punishment is good because it respects participants in the healthcare system by restoring an equilibrium of social and moral status that wrongdoing disturbs, and, second, that it only does so when it communicates a backward-looking message of resentful blame. (shrink)

This paper argues that epistemologists should theorize about wisdom and critically examines a number of attempts to do as much. It then builds and argues for a particular theory of what wisdom is.

• It would be a moral disgrace for God (if he existed) to allow the many evils in the world, in the same way it would be for a parent to allow a nursery to be infested with criminals who abused the children. • There is a contradiction in asserting all three of the propositions: God is perfectly good; God is perfectly powerful; evil exists (since if God wanted to remove the evils and could, he would). • The religious believer (...) has no hope of getting away with excuses that evil is not as bad as it seems, or that it is all a result of free will, and so on. Piper avoids mentioning the best solution so far put forward to the problem of evil. It is Leibniz’s theory that God does not create a better world because there isn’t one — that is, that (contrary to appearances) if one part of the world were improved, the ramifications would result in it being worse elsewhere, and worse overall. It is a “bump in the carpet” theory: push evil down here, and it pops up over there. Leibniz put it by saying this is the “Best of All Possible Worlds”. That phrase was a public relations disaster for his theory, suggesting as it does that everything is perfectly fine as it is. He does not mean that, but only that designing worlds is a lot harder than it looks, and determining the amount of evil in the best one is no easy matter. Though humour is hardly appropriate to the subject matter, the point of Leibniz’s idea is contained in the old joke, “An optimist is someone who thinks this is the best of all possible worlds, and a pessimist thinks.. (shrink)

Contemporary philosophers of moral responsibility are in widespread agreement that we can only be blamed for actions that express, reflect, or disclose something about us or the quality of our wills. In this paper I reject that thesis and argue that self disclosure is not a necessary condition on moral responsibility and blameworthiness: reactive responses ranging from aretaic appraisals all the way to outbursts of anger and resentment can be morally justified even when the blamed agent’s action expresses or discloses (...) nothing significant about his or her “deep self,” judgments and cares, or the quality of his or her will. I argue that the self-disclosure requirement on responsibility overestimates the extent to which our blaming practices and responsibility judgments are responsive to agents as opposed to actions, and that this mistake has the potential to distort both our reactive responses and our understanding of blamed agents’ characters. (shrink)

The global/local contrast is ubiquitous in mathematics. This paper explains it with straightforward examples. It is possible to build a circular staircase that is rising at any point (locally) but impossible to build one that rises at all points and comes back to where it started (a global restriction). Differential equations describe the local structure of a process; their solution describes the global structure that results. The interplay between global and local structure is one of the great themes of mathematics, (...) but rarely discussed explicitly. (shrink)

This article critically examines numerous attempts to build a knowledge-first ethics of belief. These theories specify a number of potential "knowledge norms for belief".

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.

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 paper argues that members of future generations have an entitlement to natural resources equal to ours. Therefore, if a currently living individual destroys or degrades natural resources then he must pay compensation to members of future generations. This compensation takes the form of “primary goods” which will be valued by members of future generations as equally useful for promoting the good life as the natural resources they have been deprived of. As a result of this policy, each generation inherits (...) a “Commonwealth” of natural resources plus compensation. It is this inherited “Commonwealth” which members of that generation must then pass on to members of the next generation. Once this picture is accepted, the standard bundle of property rights is problematic, for it takes the owner of a constituent of the Commonwealth to have the right to “waste, destroy or modify” that item at will. This paper therefore presents a revised set of property rights which takes seriously the idea that each generation has an equal claim on the resources that nature has bequeathed us, whilst allowing certain effects on those natural resources by each generation, and a degree of exclusive use of those natural resources owned by an individual. (shrink)

Suppose that you are engaging with someone who is your oppressor, or someone who espouses a heinous view like Nazism or a ridiculous view like flat-earthism. In contexts like these, there is a disparity between you and your interlocutor, a dramatic normative difference across which you are in the right and they are in the wrong. As theorists of humility, we find these contexts puzzling. Humility seems like the *last* thing oppressed people need and the *last* thing we need in (...) dealing with those whose views are heinous or ridiculous. Responding to such people via humility seems uncalled for, even inappropriate. But how could this be, given that humility is a *virtue*? The purpose of the paper is to explore this puzzle. We explain what the puzzle is and then attempt to draw some lessons from it: first, the lesson that the importance of humility is limited in several ways, and second, the lesson that humility nonetheless has several important roles to play, even for people who are in the right in contexts of disparity. (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.

The Tree of Life has traditionally been understood to represent the history of species lineages. However, recently researchers have suggested that it might be better interpreted as representing the history of cellular lineages, sometimes called the Tree of Cells. This paper examines and evaluates reasons offered against this cellular interpretation of the Tree of Life. It argues that some such reasons are bad reasons, based either on a false attribution of essentialism, on a misunderstanding of the problem of lineage identity, (...) or on a limited view of scientific representation. I suggest that debate about the Tree of Cells and other successors to the traditional Tree of Life should be formulated in terms of the purposes these representations may serve. In pursuing this strategy, we see that the Tree of Cells cannot serve one purpose suggested for it: as an explanation for the hierarchical nature of taxonomy. We then explore whether, instead, the tree may play an important role in the dynamic modeling of evolution. As highly-integrated complex systems, cells may influence which lineage components can successfully transfer into them and how they change once integrated. Only if they do in fact have a substantial role to play in this process might the Tree of Cells have some claim to be the Tree of Life. (shrink)

:Recently, Allais, Hanna and others have argued that Kant is a nonconceptualist about intuition and that intuitions refer objectively, independently of the functions of the understanding. Kantian conceptualists have responded, which the nonconceptualists also cite as textual evidence for their reading) that this view conflicts with the central goal of Kant’s Transcendental Deduction: to argue that all intuitions are subject to the categories. I argue that the conceptualist reading of KrV, A 89 ff./B 122 ff. is unfounded. Further, I argue (...) that the nonconceptualists are wrong to believe that intuitions as such refer objectively and that they are mistaken about the relation between figurative synthesis and intellectual synthesis. (shrink)

When a person commits a testimonial injustice, the unjust thing they do consists in their reaction to an assertion (theorists diverge on the details; paradigmatically the relevant unjust thing consists in prejudicially refraining from believing the assertion). Whatever reactions to questions are analogous to these reactions to assertions, those things are "interrogative injustices". I explore some models of those things and apply them to some non-ideal cases. One of the models appeals to mental states like curiosity and wonder, telling us (...) that interrogative injustice occurs when hearers prejudicially refrain from adopting those mental states. Other models appeal to common conversational goals – these goals including the answering of questions. On these models, interrogative injustice occurs when a person asks a question, and another person prejudicially blocks the answering of that question from joining the common goals. Or, if they don’t block said answering, perhaps they believe that it should be thus blocked. Or perhaps they merely resist the question, not fully blocking its answering from joining the common goals but instead pushing back against it in some other way. Or perhaps they merely believe that they should resist the question. I endorse a pluralism on which each of these things can be an interrogative injustice. (shrink)

In this paper, I argue that the principle of respect for autonomy can serve as the basis for laws that significantly limit conduct, including orders mandating isolation and quarantine. This thesis is fundamentally at odds with an overwhelming consensus in contemporary bioethics that the principle of respect for autonomy, while important in everyday clinical encounters, must be 'curtailed', 'constrained', or 'overridden' by other principles in times of crisis. I contend that bioethicists have embraced an indefensibly 'thin' notion of autonomy that (...) uproots the concept from its foundations in Kantian ethics. According to this thin conception, respect for autonomy, if unconditioned by competing principles (beneficence, justice, non-maleficence) would give competent adults the right to do anything they desired to do so long as they satisfied certain baseline psychological conditions. I argue that the dominant 'principlist' model of bioethical reasoning depends on this thin view of autonomy and show how it deprives us of powerful analytical tools that would help us to think seriously about the foundations of human rights, justice, and law. Then, I offer a brief sketch of a 'thick', historically grounded notion of autonomy and show what we could gain by taking it seriously. (shrink)

The meaning of Lorentz contraction in special relativity and its connection with Bell’s spaceships parable is discussed. The motion of Bell’s spaceships is then compared with the accelerated motion of a rigid body. We have tried to write this in a simple form that could be used to correct students’ misconceptions due to conflicting earlier treatments.

Philosophical theories of explanation characterize the difference between correct and incorrect explanations. While remaining neutral as to which of these ‘first-order’ theories is right, this paper asks the ‘meta-explanatory’ question: is the difference between correct and incorrect explanation real, i.e., objective or mind-independent? After offering a framework for distinguishing realist from anti-realist views, I sketch three distinct paths to explanatory anti-realism.

Suppose for reductio that I know a proposition of the form <p and I don’t know p>. Then by the factivity of knowledge and the distribution of knowledge over conjunction, I both know and do not know p ; which is impossible. Propositions of the form <p and I don’t know p> are therefore unknowable. Their particular kind of unknowability has been widely discussed and applied to such issues as the realism debate. It hasn’t been much applied to theories of (...) the nature of knowledge. That is what I’m going to do here. (shrink)

Epistemology is normative. This normativity has been widely recognized for a long time, but it has recently come into direct focus as a central topic of discussion. The result is a recent and large turn towards focusing on epistemic value. I’ll start by describing some of the history and motivations of this recent value turn. Then I’ll categorize the work within the value turn into three strands, and I’ll discuss the main writings in those strands. Finally, I’ll explore some themes (...) that are ripe for further development. (shrink)

We study the acceleration and collisions of rigid bodies in special relativity. After a brief historical review, we give a physical definition of the term ‘rigid body’ in relativistic straight line motion. We show that the definition of ‘rigid body’ in relativity differs from the usual classical definition, so there is no difficulty in dealing with rigid bodies in relativistic motion. We then describe The motion of a rigid body undergoing constant acceleration to a given velocity.The acceleration of a rigid (...) body due to an applied impulse.Collisions between rigid bodies. (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)

A collection of articles on the the principles of social justice from an Australian Catholic perspective. Contents: Forward (Archbishop Philip Wilson), Introduction (James Franklin), The right to life (James Franklin), The right to serve and worship God in public and private (John Sharpe), The right to religious formation (Richard Rymarz), The right to personal liberty under just law (Michael Casey), The right to equal protection of just law regardless of sex, nationality, colour or creed (Sam Gregg), The right (...) to freedom of expression (Damian Grace), The right to choose and freely maintain a state of life, married or single, lay or religious (Marita Winters), The right to education (Anthony Cleary), The right to petition government for the redress of grievances (Paul Russell), The right to a nationality (Andrew Hamilton), The right to have access to the means of livelihood, by migration when necessary (Brenda Hubber), The right of association and peaceful assembly (Michael Hogan), The right to work and choose one's occupation (Ian Blandthorn), The right to personal ownership, use and disposal of property subject to the right of others (Brian Coman), The right to a living wage (Garrick Small), The right to collective bargaining (Keith Harvey), The right to associate by industries and professions to obtain economic justice (Henrik Jurisevic), The right to assistance from society, if necessary from the State, in distress of persons and family (Catherine Althaus), Afterword (James Franklin). (shrink)