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)

Discussion about a dignified death has almost exclusively been applied to palliative care and people dying of cancer. As populations are getting older in the western world and living with chronic illnesses affecting their everyday lives, it is relevant to broaden the definition of palliative care to include other groups of people. The aim of the study was to explore the views on dignity at the end of life of 12 elderly people living in two nursing homes in Sweden. A (...) hermeneutic approach was used to interpret the material, which was gathered during semi-structured interviews. A total of 39 interviews were transcribed. The analysis revealed three themes: (1) the unrecognizable body; (2) fragility and dependency; and (3) inner strength and a sense of coherence. (shrink)

Seth Shabo has presented a new argument that attempts to codify familiar worries about indeterminism, luck, and control. His ‘Assimilation Argument’ contends that libertarians cannot distinguish overtly randomized outcomes from exercises of free will. Shabo claims that the argument possesses advantages over the Mind Argument and Rollback Argument, which also purport to establish that indeterminism is incompatible with free will. I argue first that the Assimilation Argument presents no new challenges over and above those presented by the Rollback Argument, and (...) second that the Rollback Argument itself neither presents a deep challenge to, nor raises the cost of, accepting libertarianism. (shrink)

The formal sciences - mathematical as opposed to natural sciences, such as operations research, statistics, theoretical computer science, systems engineering - appear to have achieved mathematically provable knowledge directly about the real world. It is argued that this appearance is correct.

It may be a myth that Plato wrote over the entrance to the Academy “Let no-one ignorant of geometry enter here.” But it is a well-chosen motto for his view in the Republic that mathematical training is especially productive of understanding in abstract realms, notably ethics. That view is sound and we should return to it. Ethical theory has been bedevilled by the idea that ethics is fundamentally about actions (right and wrong, rights, duties, virtues, dilemmas and so on). That (...) is an error like the one Plato mentions of thinking mathematics is about actions (of adding, constructing, extracting roots and so on). Mathematics is about eternal relations between universals, such as the ratio of the diagonal of a square to the side. Ethics too is about eternal verities, such as the equal worth of persons and just distributions. Mathematical and ethical verities do both constrain actions, such as the possibility of walking over the seven bridges of Königsberg once and once only or of justly discriminating between races. But they are not themselves about action. In principle, neither mathematical nor ethical verities are subject to historical forces or disagreement among tribes (though they can be better understood as time goes on). Plato is right: immersion in mathematics induces an understanding of the necessities underpinning reality, an understanding that is essential for distinguishing objective ethics from tribal custom. Equality, for example, is an abstract concept which is foundational for both mathematics and ethics. (shrink)

Defends the cosmological argument for the existence of God against Hume's criticisms. Hume objects that since a cause is before its effect, an eternal succession has no cause; but that would rule of by fiat the possibility of God's creating the world from eternity. Hume argues that once a cause is given for each of a collection of objects, there is not need to posit a cause of the whole collection; but that is to assume the universe to be a (...) heap of things arbitrarily grouped rather than a whole arbitrarily divided. (shrink)

:It is often claimed that libertarianism offers an unattractive conception of free will and moral responsibility because it renders free agency inexplicable and irrational. This essay aims, first, to show that the soundness of these objections turns on more basic disagreements concerning the ideals of free agency and, second, to develop and motivate a truly libertarian conception of the ideals of free agency. The central contention of the essay is that the heart of libertarians’ ideal of free agency is the (...) ideal of agential fundamentality. (shrink)

A point charge accelerating under the influence of an external force emits electromagnetic radiation that reduces the increase in its mechanical energy. This causes a reduction in the particle's acceleration. We derive the decrease in acceleration due to radiation reaction for a particle accelerating parallel to its velocity, and show that it has a negligible effect.

The journey of the Wycliffe Global Alliance is an example of how some paradigm shifts are influencing leading in mission. Since Christianity is both an agent and product of globalization, its beliefs have spread from one source to another, crossing religious, linguistic and cultural contexts. As a result, there are polycentric or multiple centres of influence since Christianity has homes within a diversity of contexts. This carries with it various implications including how partnering in mission needs to be deconceptualized through (...) greater emphasis on friendship. In order for this to happen as a missiological principle, third spaces may need to be created. Viewed against the backdrop of church and mission agency leadership, structures may be ‘stuck in the Industrial Era’. Therefore, the stage is set for exploring how these and other themes influence leadership in God’s mission. (shrink)

We show that every countable ideal of degrees that are low for isomorphism is contained in a principal ideal of degrees that are low for isomorphism by adapting an exact pair construction. We further show that within the hyperimmune free degrees, lowness for isomorphism is entirely independent of computable traceability.

According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...) realism', in order to identify the truthmakers of mathematics. We consider in particular as a case study the indispensability to physics of real analysis (the theory of the real numbers). We conclude that it is possible to run an indispensability argument without Quinean baggage. (shrink)

Cultural differences in the perception of geometric illusions. Science 139: 769- 71. Shepard, RN 1 99o. Mind sights. New York: Freeman & Co. ...

We show that van Lambalgen's Theorem fails with respect to recursive randomness and Schnorr randomness for some real in every high degree and provide a full characterization of the Turing degrees for which van Lambalgen's Theorem can fail with respect to Kurtz randomness. However, we also show that there is a recursively random real that is not Martin-Löf random for which van Lambalgen's Theorem holds with respect to recursive randomness.

Aristotle divided arguments that persuade into the rhetorical (which happen to persuade), the dialectical (which are strong so ought to persuade to some degree) and the demonstrative (which must persuade if rightly understood). Dialectical arguments were long neglected, partly because Aristotle did not write a book about them. But in the sixteenth and seventeenth century late scholastic authors such as Medina, Cano and Soto developed a sound theory of probable arguments, those that have logical and not merely psychological force but (...) fall short of demonstration. Informed by late medieval treatments of the law of evidence and problems in moral theology and aleatory contracts, they considered the reasons that could render legal, moral, theological, commercial and historical arguments strong though not demonstrative. At the same time, demonstrative arguments became better understood as Galileo and other figures of the Scientific Revolution used mathematical proof in arguments in physics. Galileo moved both dialectical and demonstrative arguments into mathematical territory. (shrink)

The essential idea of Leibniz’s Theodicy was little understood in his time but has become one of the organizing themes of modern mathematics. There are many phenomena that are possible locally but for purely mathematical reasons impossible globally. For example, it is possible to build a spiral staircase that is rising at any given point, but it is impossible to build one that is rising at all points and comes back to where it started. The necessity is mathematically provable, so (...) not subject to exception by divine power. Leibniz’s Theodicy argues that God could improve the universe locally in many ways, but not globally. This paper defends Leibniz, giving positive reasons for believing that there are so many necessary interconnections between goods and evils that God is faced with a choice like the classic Trolley case, where all of the scenarios that could be chosen upfront contain evils, but some more than others. Local changes for the better seem easy to imagine, but a proper understanding of global constraints undermines the initial impression that they can be done without global cost. The paper concludes by explaining how the context of the Leibnizian argument makes it reasonable to pursue the issue of whether there are no worlds better than this one. (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)

Structures for mission have been under review as a result of many factors. In particular have been the widening influences of globalisation, and to a lesser degree, glocalisation. Various models of leadership praxis and structures have been proposed along the way. As Christianity moved farther away from the Christendom model of centralised control to other models of structure and leadership, other paradigms have been proposed along the way. However, one possibility, called the concept of polycentrism, has not been considered with (...) any significant effort. In order to understand polycentrism, this research covered a literature review of seven spheres: (1) the urbanised-economic context; (2) political-ideological associations; (3) globalglocal socio-cultural situations; (4) organisational-leadership contexts; (5) missional movements; (6) the global church; and (7) the journey of the mission agency called the Wycliffe Global Alliance. The application of the concept of polycentrism to the specific context of the Wycliffe Global Alliance has enabled conclusions about the relevance of polycentrism in mission structures that are part of the missio Dei. The study concluded that polycentrism was a very helpful methodology that understood and resolved the inherent tensions and influences brought about by globalisation upon structures in God’s mission. The implications shaped what leadership communities look like in terms of values and ideals because of the benefits of polycentrism. Through polycentrism, there has been a deliberate movement away from established centres of power, so that leadership occurred among and with others, while creatively learning together in community.Keywords: Polycentrism, globalisaiton, glocalisation, mission leadership, global church. (shrink)

Australian women who are university graduates have fewer children than non-graduates. In most cases this appears to be the result of circumstantial pressures not preference. Long years of study fill the most fertile years of women students and new graduates need further time to establish their careers. The chance of medical infertility increases with age so, for some, this means that childbearing is not postponed but ruled out. Graduates who do make the transition from university to professional work find that (...) working hours are long and that professional occupations are now both highly demanding and insecure. Women who take time off to care for young children must depend on one insecure income (their partner’s) rather than two, and their return to work is uncertain. These difficulties of time, money and insecurity are compounded by problems in finding a suitable partner. They are magnified by the enduring tendency of women to marry up. Thus it can be more difficult for women graduates to find husbands than it is for women who are non-graduates. (shrink)

Defends the arguments for the irredicibility of dispositions to categorical properties in "Are dispositions reducible to categorical properties?" (Philosophical Quarterly 36, 1986) against the criticisms of D.M. Armstrong (Philosophical Quarterly 38, 1988).

The problem of physician-assisted death, assisted suicide and active euthanasia, has been debated predominantly in the ethically familiar vocabulary of rights, duties, and consequences. Patient autonomy and the right to die with dignity vie with the duty of physicians to heal, but not to kill, and the specter of “the slippery slope” from voluntary euthanasia as a last resort for patients suffering from terminal illness to PAD on demand and mercy killing of “hopeless” incompetent patients. Another dimension of the debate (...) over PAD concerns the evaluative question of what constitutes a good death. At stake are Issues of character and virtue in the face of death and dying and their Implications for legitimizing the practice of PAD. Critics of PAD argue that “natural” death in the context of comfort care, as provided by hospice programs, is the good death. In contrast, PAD amounts to an easy way out, an evasion of the ultimate human challenge and task of dying. Because hospice care is clearly preferable to PAD, the former should be encouraged and the latter remain prohibited. (shrink)

A textbook on proof in mathematics, inspired by an Aristotelian point of view on mathematics and proof. The book expounds the traditional view of proof as deduction of theorems from evident premises via obviously valid steps. It deals with the proof of "all" statements, "some" statements, multiple quantifiers and mathematical induction.

Let me tell you what philosophy is about, then about how Sydney does it in its own special way. Does life have a meaning, and if so what is it? What can I be certain of, and how should I act when I am not certain? Why are the established truths of my tribe better than the primitive superstitions of your tribe? Why should I do as I’m told? Those are questions it’s easy to avoid, in the rush to acquire (...) goods and prestige. Even for many of a more serious outlook, they are questions easy to dismiss with excuses like “it’s all a matter of opinion” or “let’s get on with practical matters” or “they’re too hard”. They are questions that may be ignored, but they do not go away. They’re philosophical questions. There’s a right way to approach them – you read the writings of the classical and recent philosophers and consider carefully their arguments back and forth. There are many wrong ways to approach them, such as choosing at random among the ideas your parents or friends or gurus have, or ideas that feel good. Or you can just not bother. Sydney has a certain reputation for superficiality in this regard. A character in David Williamson’s Emerald City says “No-one in Sydney ever wastes time debating the meaning of life — it’s getting yourself a water frontage”, says If you have a Writers Festival or a conference on Happiness in Sydney, you don’t normally expect philosophers to be invited. Caroline Jones’ radio series, ‘The Search for Meaning’. (shrink)

Robots, as well as software agents, can be of use in biology as implementations of a theory rather than as simulations of specific real world target systems. Such implementations generate hypotheses rather than representing them. Their behavior is not predicted, but rather observed, and is not expected to duplicate that of a target system. Scientific knowledge is gained through the testing of generated hypotheses.

The aim of this work is to demarcate, develop, and defend the commitments and consequences of metaethical minimalism. Very roughly, this is the position that a commitment to objective moral truths does not require any accompanying ontological commitments. While there are few, if any, who call themselves “metaethical minimalists”, I endeavor to uncover existing articulations of metaethical minimalism which have been presented under different names, attempting to identify the common ground between them. As I interpret the position, all metaethical minimalists (...) are committed to the same positive pair of claims (what I call the Objectivity Thesis): “a) Moral truths are strongly mind-independent; b) there are moral truths.” Taken by itself, however, this pair of claims is not sufficient for differentiating their view from the moral realist’s. Consequently, the minimalist must also articulate that which they are denying about the non-minimalist approach, or what I call the “negative ontological thesis”. I offer my own version of this negative thesis and argue for its dialectical advantages. -/- In Chapters 3 and 4, I focus my attention on attacks on the viability of metaethical minimalism in the form of two “challenges” that aim to problematize a commitment to objective moral truths absent any accompanying ontological commitment. The big-picture takeaway from these chapters is that minimalism can defend itself by playing to the dialectical advantage I find for it in Chapter 2 as well as by being creative about minimalist constructions/reworkings of plausible principles/lines of reasoning that seem to contradict it. -/- The temptation to embrace quietism is strong among minimalists, but in Chapters 5, 6, and 7 I aim to show that there is a positive alternative available for the minimalist interested in developing a full picture of their position. Chapter 5 is aimed at providing an adequate understanding of the distinction between the objects of purely normative thoughts and objects of thoughts about reality. Building on this are Chapters 6 and 7, which argue in favor of an account of the relationship between emotion and evaluative knowledge that is consistent with metaethical minimalism. (shrink)

Plato’s often-quoted statement in the Phaedrus that we should “cut up each kind according to its species along its natural joints” (265e) has become an influential metaphor in discussions of natural kinds and natural properties. In this essay, I investigate the source domain of the metaphor, the joints of the animal body, to determine if these joints are indeed “natural”—meaning that there exists a single, non-disjunctive account of joint-hood applicable to the osteological world. By examining animal joints from the perspective (...) of both the butcher and the biologist, I argue that there is no single natural division of the body into component skeletal parts. I conclude by considering what impact this result should have on our understanding of natural kinds and on the metaphors we use to describe them. (shrink)

Plato’s Socrates says in the Phaedrus that we should “cut up each kind according to its species along its natural joints, and to try not to splinter any part, as a bad butcher might” (265e). In the Statesman Plato’s interlocutors make the similar suggestion that kinds should be divided from one another “limb by limb, like a sacrificial animal” (287c). This jointing metaphor is often used to illustrate the divisibility of the natural world into objective kinds or natural categories—such as (...) into particles like electrons, species, such as Homo sapiens, or even into sociological kinds like care-giver or psychological ones like fear. It has been thought that by dividing the world at its joints, we can lay bare the natural kinds; when we fail to so divide we splinter the world’s kinds like an incompetent butcher. In accordance with the metaphor, each bone in the animal body is likened to a category of things in the natural world. The claim that there is one natural set of joints at which we can physically separate the parts of the animal parallels the claim that there is a unique set of natural categories into which we should partition objects into species. Some, such as David Hull, say that this metaphor is “apt” (Hull 1989, 153) and others, like Ian Hacking, that it is “unsavory rubbish” (Hacking 1991, 111). Philip Kitcher is equally critical, writing that: “Plato gave us a vivid metaphor, suggesting that our classificatory task is like that of carving a beast at its joints. But that is just metaphor. I find it hard to give substance to the notion that nature is a beast with joints or that it comes with neat fenceposts that our scientific language must respect.”. (shrink)

Tom Regan has powerfully argued that all sentient beings having some awareness of self are equal in inherent value, and that their interests where relevant must be given equal treatment. Yet Regan also contends that there are some situations in which the value of different lives should be compared and choice made between them. He supposes an overloaded lifeboat with five occupants in which all will die unless one is thrown overboard. Four of the occupants are human, one is a (...) dog; and Regan holds that it is the dog that ought to go since its life is of less value than that of a human. Regan has thus been sharply attacked for inconsistency. Some say that the comparison of lives, even in this sort of case, contradicts the principle of equal inherent value and introduces a utilitarian calculation of benefit. Othersobject that no ground of choice exists in situations of this sort. But all these criticisms turn out to be unjustified. (shrink)

Tom Regan has powerfully argued that all sentient beings having some awareness of self are equal in inherent value, and that their interests where relevant must be given equal treatment. Yet Regan also contends that there are some situations in which the value of different lives should be compared and choice made between them. He supposes an overloaded lifeboat with five occupants in which all will die unless one is thrown overboard. Four of the occupants are human, one is a (...) dog; and Regan holds that it is the dog that ought to go since its life is of less value than that of a human. Regan has thus been sharply attacked for inconsistency. Some say that the comparison of lives, even in this sort of case, contradicts the principle of equal inherent value and introduces a utilitarian calculation of benefit. Othersobject that no ground of choice exists in situations of this sort. But all these criticisms turn out to be unjustified. (shrink)