Online research in philosophy

Australian Journal of Professional and Applied Ethics 9 (2) 2007, 86-95.

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)

Both the traditional Aristotelian and modern symbolic approaches to logic have seen logic in terms of discrete symbol processing. Yet there are several kinds of argument whose validity depends on some topological notion of continuous variation, which is not well captured by discrete symbols. Examples include extrapolation and slippery slope arguments, sorites, fuzzy logic, and those involving closeness of possible worlds. It is argued that the natural first attempts to analyze these notions and explain their relation to reasoning fail, so (...) that ignorance of their nature is profound. (shrink)

Both philosophical and practical analyses of global justice issues have been vitiated by two errors: a too-high emphasis on the supposed duties of collectives to act, and a too-low emphasis on the analysis of causes and risks. Concentrating instead on the duties of individual actors and analysing what they can really achieve reconfigures the field. It diverts attention from individual problems such as poverty or refugees or questions on what states should do. Instead it shows that there are different duties (...) for political leaders, intelligence operatives, opinion leaders and citizens in devising, urging and implementing such plans as transfers of aid with accountability, military interventions in rogue states and limited intakes of refugees. With collectivist excuses for inaction such as sovereignty out of the way, it is possible to take a cautiously optimistic view of the possibility of forceful and morally responsible interventions in the range of major global problems. (shrink)

The late scholastics, from the fourteenth to the seventeenth centuries, contributed to many fields of knowledge other than philosophy. They developed a method of conceptual analysis that was very productive in those disciplines in which theory is relatively more important than empirical results. That includes mathematics, where the scholastics developed the analysis of continuous motion, which fed into the calculus, and the theory of risk and probability. The method came to the fore especially in the social sciences. In legal theory (...) they developed, for example, the ethical analyses of the conditions of validity of contracts, and natural rights theory. In political theory, they introduced constitutionalism and the thought experiment of a “state of nature”. Their contributions to economics included concepts still regarded as basic, such as demand, capital, labour, and scarcity. Faculty psychology and semiotics are other areas of signifi cance. In such disciplines, later developments rely crucially on scholastic concepts and vocabulary. (shrink)

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)

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...) a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree, a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

We first survey the Catholic social justice tradition, the foundation on which Caritas in Veritate builds. Then we discuss Benedict’s addition of love to the philosophical virtues (as applied to economics), and how radical a change that makes to an ethical perspective on economics. We emphasise the reality of the interpersonal aspects of present-day economic exchanges, using insights from two disciplines that have recognized that reality, human resources and marketing. Finally, we examine the prospects for an economics of gratuitousness at (...) a level higher than the individual, that is, for businesses devoted to social ends more than profit. (shrink)

Greek, Latin and Ancient History. Instead, after a good result in mathematics, I decided to pursue that instead. That left me with an extra subject to choose to fill up first year. What was this "Philosophy" on offer? I couldn't understand where there was something in the spectrum of knowledge for philosophy to be about. Biology was about cats, English was about language and literature, mathematics was about numbers (I was not yet philosophically smart enough to realise there was a (...) problem as to what numbers were, given that you can't observe them like cats.) But what topics were left over for philosophy? (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)

"Does torture work?" is a factual rather than ethical or legal question. But legal and ethical discussions of torture should be informed by knowledge of the answer to the factual question of the reliability of torture as an interrogation technique. The question as to whether torture works should be asked before that of its legal admissibility—if it is not useful to interrogators, there is no point considering its legality in court.

The large Eastern European migration program to Australia in the late 1940s was driven not only by Australia's need for migrants, but by Catholic views on the rights of refugees and an international Cold War plan to resettle the million people who had fled the Red Army.

Scientists get on with the job – they do stuff with test tubes or with computers – but can philosophers help them? Do they need help and, if so, do they think they need help? This week, we examine what philosophers of science talk about and what effect it might have on what scientists actually do.

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 is 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. (shrink)

In What Science Knows, the Australian philosopher and mathematician James Franklin explains in captivating and straightforward prose how science works its magic ...

publication and Now, it may well be that some wet-behind-the-ears bishops with little understanding of economics do use the term Governments relies on the “social justice” to give a colour of moral dignity to views that are a touch socialist. But what was missing in Abbott’s cannot pick winners generosity of its..

methods that have shown promise for improving extreme risk analysis, particularly for assessing the risks of invasive pests and pathogens associated with international trade. We describe the legally inspired regulatory regime for banks, where these methods have been brought to bear on extreme ‘operational risks’. We argue that an ‘advocacy model’ similar to that used in the Basel II compliance regime for bank operational risks and to a lesser extent in biosecurity import risk analyses is ideal for permitting the diversity (...) of relevant evidence about invasive species to be presented and soundly evaluated. We recommend that the process be enhanced in ways that enable invasion ecology to make more explicit use of the methods found successful.. (shrink)

If a company’s share price rises when it sacks workers, or when it makes money from polluting the environment, it would seem that the accounting is not being done correctly. Real costs are not being paid. People’s ethical claims, which in a smaller-scale case would be legally enforceable, are not being measured in such circumstances. This results from a mismatch between the applied ethics tradition and the practice of the accounting profession. Applied ethics has mostly avoided quantification of rights, while (...) accounting practice has embraced quantification, but has been excessively conservative about what may be counted. The two traditions can be combined, by using some of the ideas economists have devised to quantify difficult-to-measure costs and benefits in environmental accounting. (shrink)

The late twentieth century saw two long-term trends in popular thinking about ethics. One was an increase in relativist opinions, with the “generation of the Sixties” spearheading a general libertarianism, an insistence on toleration of diverse moral views (for “Who is to say what is right? – it’s only your opinion.”) The other trend was an increasing insistence on rights – the gross violations of rights in the killing fields of the mid-century prompted immense efforts in defence of the “inalienable” (...) rights of the victims of dictators, of oppressed peoples, of refugees. The obvious incompatibility of those ethical stances, one anti-objectivist, the other objectivist in the extreme, proved no obstacle to their both being held passionately, often by the same people. (shrink)

In this collection, experts consider the full range of rights that go to make up a free society fit for a full human life.

The report begins by outlining several case studies with varying levels of data, examining the role for extreme event risk analysis. The case studies include BA’s analysis of fire blight and New Zealand apples, bank operational risk and several technical failures. The report then surveys recent developments in methods relevant to evaluating extreme risks and evaluates their properties. These include methods for fraud detection in banks, formal extreme value theory, Bayesian approaches, qualitative reasoning, and adversary and advocacy models. The document (...) includes a supplementary report as an appendix, providing an overview of the quantification of bank operational risks. (shrink)

If Tahiti suggested to theorists comfortably at home in Europe thoughts of noble savages without clothes, those who paid for and went on voyages there were in pursuit of a quite opposite human ideal. Cook's voyage to observe the transit of Venus in 1769 symbolises the eighteenth century's commitment to numbers and accuracy, and its willingness to spend a lot of public money on acquiring them. The state supported the organisation of quantitative researches, employing surveyors and collecting statistics to..

Reviews Wildberger's account of his rational trigonometry project, which argues for a simpler way of doing trigonometry that avoids irrationals.

Postmodernism is not so much a theory as an attitude. It is an attitude of suspicion – suspicion about claims of truth and about appeals to rational argument. Its corrupting effects must be answered by finding a better alternative, which must include a defence of the objecvity of both reason and ethics. Natural law thinking is necessary for the latter.

Postmodernism is an attitude of suspicion, indeed of unteachable suspicion, in the face of evidence.

The teaching of the Aquinas Academy in its first thirty years was based on the scholastic philosophy of Thomas Aquinas, then regarded as the official philosophy of the Catholic Church. That philosophy has not been so much heard of in the last thirty years, but it has a strong presence below the surface. Its natural law theory of ethics, especially, still informs Vatican pronouncements on moral topics such as contraception and euthanasia. It has also been important in Australia in the (...) High Court’s deliberations on the Mabo case. It is argued that some officially-sanctioned deductions on particular cases have not been correct, but that any attempt to do without a natural law foundation of ethics would throw out the baby with the bathwater. The sense of the basic objective worth of persons that is the centre of natural law ethics is essential to any ethics better than a simple “might is right” approach. (shrink)

Some courses achieve existence, some have to create Professional Issues and Ethics in existence thrust upon them. It is normally Mathematics; but if you don’t do it, we will a struggle to create a course on the ethical be.” I accepted. or social aspects of science or mathematics. The gift of a greenfield site and a bull- This is the story of one that was forced to dozer is a happy occasion, undoubtedly. But exist by an unusual confluence of outside (...) cirwhat to do next? It seemed to me I should cumstances. ensure the course satisfied these require- In the mid 1990s, the University of New ments: South Wales instituted a policy that all its • It should look good to students, to staff. (shrink)

Some courses achieve existence, some have existence thrust upon them. It is normally a struggle to create in a scientific academic community a course on the philosophical or social aspects of science, but just occasionally a confluence of outside circumstances causes one to exist, irrespective of the wishes of the scientists. It is an opportunity, and taking advantage of it requires a slightly different approach from what is appropriate to the normal course of events, where a “social” course needs a (...) fight to establish it, and faces a struggle for more than marginal existence. (shrink)

Argues for a minimal level of quantification for the "proof beyond reasonable doubt" standard of criminal law: if a jury asks "Is 60% enough?", the answer should be "No.".

A standard view of probability and statistics centers on distributions and hypothesis testing. To solve a real problem, say in the spread of disease, one chooses a “model”, a distribution or process that is believed from tradition or intuition to be appropriate to the class of problems in question. One uses data to estimate the parameters of the model, and then delivers the resulting exactly specified model to the customer for use in prediction and classification. As a gateway to these (...) mysteries, the combinatorics of dice and coins are recommended; the energetic youth who invest heavily in the calculation of relative frequencies will be inclined to protect their investment through faith in the frequentist philosophy that probabilities are all really relative frequencies. Those with a taste for foundational questions are referred to measure theory, an excursion from which few return. That picture, standardised by Fisher and Neyman in the 1930s, has proved in many ways remarkably serviceable. It is especially reasonable where it is known that the data are generated by a physical process that conforms to the model. It is not so useful where the data is a large and little understood mess, as is typical in, for example, insurance data being investigated for fraud. Nor is it suitable where one has several speculations about possible models and wishes to compare them, or.. (shrink)

Powerful, technically complex international compliance regimes have developed recently in certain professions that deal with risk: banking (the Basel II regime), accountancy (IFRS) and the actuarial profession. The need to deal with major risks has acted as a strong driver of international co-operation to create enforceable international semilegal systems, as happened earlier in such fields as international health regulations. This regulation in technical fields contrasts with the failure of an international general-purpose political and legal regime to develop. We survey the (...) new global regulatory systems in the actuarial, banking and accounting fields, with a view to showing how the need to deal reasonably with risk has resulted in an international de facto law solidly based on correct abstract principles of probability. (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)

A RECENT BIOGRAPHY of Marcus Loane, evangelical Anglican Archbishop of Sydney in the 1960s, records that as a student at Moore Theological College he would read during lectures to avoid having to listen to the liberal Principal. When you are committed to a closed system of thought, you can't be too careful when it comes to letting ideas in from the outside. But what about the ideas already inside? How does the Sydney Anglican interpretation of Christianity compare to what Jesus (...) said? (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)

The imperviousness of mathematical truth to anti-objectivist attacks has always heartened those who defend objectivism in other areas, such as ethics. It is argued that the parallel between mathematics and ethics is close and does support objectivist theories of ethics. The parallel depends on the foundational role of equality in both disciplines. Despite obvious differences in their subject matter, mathematics and ethics share a status as pure forms of knowledge, distinct from empirical sciences. A pure understanding of principles is possible (...) because of the simplicity of the notion of equality, despite the different origins of our understanding of equality of objects in general and of the equality of the ethical worth of persons. (shrink)

Reviews David Stove's collection attacking Enlightenment shallowness, especially its attack on "superstition" when it had no alternative to offer.

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.

• 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)

To move beyond vague platitudes about the importance of context in legal reasoning or natural language understanding, one must take account of ideas from artificial intelligence on how to represent context formally. Work on topics like prior probabilities, the theory-ladenness of observation, encyclopedic knowledge for disambiguation in language translation and pathology test diagnosis has produced a body of knowledge on how to represent context in artificial intelligence applications.

We describe a comprehensive framework for text un- derstanding, based on the representation of context. It is designed..

Leibniz's best-of-all-possible worlds solution to the problem of evil isdefended. Enlightenment misrepresentations are removed. The apparentobviousness of the possibility of better worlds is undermined by the muchbetter understanding achieved in modern mathematical sciences of howglobal structure constrains local possibilities. It is argued that alternativeviews, especially standard materialism, fail to make sense of the problem ofevil, by implying that evil does not matter, absolutely speaking. Finally, itis shown how ordinary religious thinking incorporates the essentials ofLeibniz's view.

Democracy has difficulties with the rights on non-voters (children, the mentally ill, foreigners etc). Democratic leaders have sometimes acted ethically, contrary to the wishes of voters, e.g. in accepting refugees as immigrants.

The winning entry in David Stove's Competition to Find the Worst Argument in the World was: “We can know things only as they are related to us/insofar as they fall under our conceptual schemes, etc., so, we cannot know things as they are in themselves.” That argument underpins many recent relativisms, including postmodernism, post-Kuhnian sociological philosophy of science, cultural relativism, sociobiological versions of ethical relativism, and so on. All such arguments have the same form as ‘We have eyes, therefore we (...) cannot see’, and are equally invalid. (shrink)

The logical interpretation of probability, or ``objective Bayesianism''''– the theory that (some) probabilitiesare strictly logical degrees of partial implication – is defended.The main argument against it is that it requires the assignment ofprior probabilities, and that any attempt to determine them by symmetryvia a ``principle of insufficient reason'''' inevitably leads to paradox.Three replies are advanced: that priors are imprecise or of little weight, sothat disagreement about them does not matter, within limits; thatit is possible to distinguish reasonable from unreasonable priorson (...) logical grounds; and that in real cases disagreement about priorscan usually be explained by differences in the background information.It is argued also that proponents of alternative conceptions ofprobability, such as frequentists, Bayesians and Popperians, areunable to avoid committing themselves to the basic principles oflogical probability. (shrink)

Eric Aarons' `Why Communism failed' Dissent no. 4) is welcome especially for its determination to go back to basics. The `infinite preciousness of every human life' in the words he quotes from Rai Gaita, has always been at the bottom of concepts like liberation and freedom. How could they not be, since what is the point of liberty, unless humans themselves are valuable?

The Dark Ages The Gregorian Revolution The Glossators Invent "Half-Proof" Presumptions in Canon Law Innocent III Grades of Evidence, and Torture The Post-Glossators Bartolus and Baldus: The Completed Theory The Inquisition Maimonides on Testimony Law in the East Ch. 3 Renaissance Law..

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.

Criticizes the irrationalist and social constructionist tendencies in Kuhn's Structure of Scientific Revolutions.

Replies to Kevin de Laplante’s ‘Certainty and Domain-Independence in the Sciences of Complexity’ (de Laplante, 1999), defending the thesis of J. Franklin, ‘The formal sciences discover the philosophers’ stone’, Studies in History and Philosophy of Science, 25 (1994), 513-33, that the sciences of complexity can combine certain knowledge with direct applicability to reality.

��Natural language understanding involves the simul- taneous consideration of a large number of different sources of information. Traditional methods employed in language analysis have focused on developing powerful formalisms to represent syntactic or semantic structures along with rules for transforming language into these formalisms. However, they make use of only small subsets of knowledge. This article will describe how to use the whole range of information through a neurosymbolic architecture which is a hybridization of a symbolic network and subsymbol vectors (...) generated from a connectionist network. Besides initializing the symbolic network with prior knowledge, the subsymbol vectors are used to enhance the system’s capability in disambiguation and provide flexibility in sentence understand- ing. The model captures a diversity of information including word associations, syntactic restrictions, case-role expectations, semantic rules and context. It attains highly interactive processing by representing knowledge in an associative network on which actual semantic inferences are performed. An integrated use of previously analyzed sentences in understanding is another important feature of our model. The model dynamically se- lects one hypothesis among multiple hypotheses. This notion is supported by three simulations which show the degree of disambiguation relies both on the amount of linguistic rules and the semantic-associative information available to support the inference processes in natural language understanding. Unlike many similar systems, our hybrid system is more sophisticated in tackling language disambiguation problems by using linguistic clues from disparate sources as well as modeling context effects into the sentence analysis. It is potentially more powerful than any systems relying on one processing paradigm. (shrink)

When a company raises its share price by sacking workers or polluting the environment, it is avoiding paying real costs. Accountancy, which quantifies certain rights, needs to combine with applied ethics to create a "computational casuistics" or "moral accountancy", which quantifies the rights and obligations of individuals and companies. Such quantification has proved successful already in environmental accounting, in health care allocation and in evaluating compensation payments. It is argued that many rights are measurable with sufficient accuracy to make them (...) credible and legally actionable. (shrink)

Pascal’s wager and Leibniz’s theory that this is the best of all possible worlds are latecomers in the Faith-and-Reason tradition. They have remained interlopers; they have never been taken as seriously as the older arguments for the existence of God and other themes related to faith and reason.

Uses connectionism (neural networks) to extract the "gist" of a story in order to represent a context going forward for the disambiguation of incoming words as a text is processed.

Stove's article, 'So you think you are a Darwinian?'[ 1] was essentially an advertisement for his book, Darwinian Fairytales.[ 2] The central argument of the book is that Darwin's theory, in both Darwin's and recent sociobiological versions, asserts many things about the human and other species that are known to be false, but protects itself from refutation by its logical complexity. A great number of ad hoc devices, he claims, are used to protect the theory. If co operation is observed (...) where the theory predicts competition, then competition is referred to the time of the cavemen, or is reinterpreted as competition between some hidden entities like genes or abstract entities like populations. In a characteristic sally, Stove writes of the sociobiologists' oscillation on the meaning of kin altruism: Any discussion of altruism with an inclusive fitness theorist is, in fact, exactly like dealing with a pair of balloons connected by a tube, one balloon being the belief that kin altruism is an illusion, the other being the belief that kin altruism is caused by shared genes. If a critic puts pressure on the illusion balloon - perhaps by ridiculing the selfish theory of human nature - air is forced into the causal balloon. There is then an increased production of earnest causal explanations of why we love our children, why hymenopteran workers look after their sisters, etc., etc. Then, if the critic puts pressure on the causal balloon - perhaps about the weakness of sibling altruism compared with parental, or the absence of sibling altruism in bacteria - then the illusion balloon is forced to expand. There will now be an increased production of cynical scurrilities about parents manipulating their babies for their own advantage, and vice versa, and in general, about the Hobbesian bad times that are had by all. In this way critical pressure, applied to the theory of inclusive fitness at one point, can always be easily absorbed at another point, and the theory as a whole is never endangered.[ 3] Now, it is uncontroversial to assert that Darwinism is a logically complex theory, and that its relation to empirical evidence is distant and multi faceted. One does not directly observe chance genetic variations leading to the development of new species, or even continuous variations in the fossil record, but must rely on subtle arguments to the best explanation, scaling up from varieties to species, and so on.. (shrink)

An account of the life of Dr P.J. Ryan, Australian Catholic scholastic philosopher and anti-Communist organiser.

Brains, unlike artificial neural nets, use sym- bols to summarise and reason about percep- tual input. But unlike symbolic AI, they “ground” the symbols in the data: the sym- bols have meaning in terms of data, not just meaning imposed by the outside user. If neu- ral nets could be made to grow their own sym- bols in the way that brains do, there would be a good prospect of combining neural networks and symbolic AI, in such a way as (...) to combine the good features of each. (shrink)

Why do students take the instruction "prove" in examinations to mean "go to the next question"? Because they have not been shown the simple techniques of how to do it. Mathematicians meanwhile generate a mystique of proof, as if it requires an inborn and unteachable genius. True, creating research-level proofs does require talent; but reading and understanding the proof that the square of an even number is even is within the capacity of most mortals.

A textbook on proof in mathematics, inspired by an Aristotelian point of view on mathematics and proof. It explains how to prove statements in mathematics, from evident premises. It deals with the proof of "all" statements, "some" statements, multiple quantifiers and mathematical induction.

One of the famous studies in the psychology of religion involved a pair of researchers who joined a sect that had predicted the end of the world at a date not far in the future. When the big day came and went without incident, the researchers observed that many members left the sect – which says at least something for human rationality. But a hard core soldiered on. They were buoyed by the theory, advanced by some genius of invention in (...) their midst, that the end of the world had taken place, but God had not yet chosen to reveal it. (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)

The last fifty years have seen the creation of a number of new "formal" or "mathematical" sciences, or "sciences of complexity". Examples are operations research, theoretical computer science, information theory, descriptive statistics, mathematical ecology and control theory. Theorists of science have almost ignored them, despite the remarkable fact that (from the way the practitioners speak) they seem to have come upon the "philosophers' stone": a way of converting knowledge about the real world into certainty, merely by thinking.

Replies to O. Hanfling, ‘Healthy scepticism?’, Philosophy 68 (1993), 91-3, which criticized J. Franklin, ‘Healthy scepticism’, Philosophy 66 (1991), 305-324. The symmetry argument for scepticism is defended (that there is no reason to prefer the realist alternative to sceptical ones).

Readers of “lives” of the famous know well the tendency of biography, and especially autobiography, to become steadily less interesting as the subject grows older. A predictable record of challenges met, enemies shafted, honours received and great men encountered often succeeds an account of a childhood that is a highly-coloured and unique emotional drama. Often the best pages are those on the subject’s schooldays, when the personality first tangles with the public realm. As Barry Oakley says of school in a (...) piece quoted in the book’s preface: “Like the stage, it’s an image of life: life accelerated, life concentrated, life more formidable.” The project of selecting just the highlights of all the stories of Australians’ schooldays promises, then, a high payoff if it is well done. It is a high-risk enterprise, though: a pointillist canvas brilliant in each fleck may easily look like mud from a distance. There are well over a hundred authors here, with only three pages or so each to paint a vignette of school. In fact, the result is an enormous success. The editors have a sure eye, and they and their research assistant, Pamela Williams, have put in the work to find the goods. Almost every piece is gripping, and quite different from the others. The total effect is additive, and is an unexampled insight into how the Australia we know came into being. The classics are there: Henry Lawson and Patrick White, Seven Little Australians and The Getting of Wisdom, Donald Horne, Barry Humphries and Clive <span class='Hi'>James</span>. So are the many unknowns whose recollections take us into obscure corners. If there is one overall theme, it is that of sameness, difference and “fitting in”. The effect of the accumulated evidence is rather more subtle than the received ideas on “identity and difference”, multiculturalism and so on. School is where the strangeness of one’s own family, or of one’s own personality, meets the social world – itself perhaps no less weird, objectively speaking, but possessed of resources for ensuring conformity.. (shrink)

The classical arguments for scepticism about the external world are defended, especially the symmetry argument: that there is no reason to prefer the realist hypothesis to, say, the deceitful demon hypothesis. This argument is defended against the various standard objections, such as that the demon hypothesis is only a bare possibility, does not lead to pragmatic success, lacks coherence or simplicity, is ad hoc or parasitic, makes impossible demands for certainty, or contravenes some basic standards for a conceptual or linguistic (...) scheme. Since the conclusion of the sceptical argument is not true, it is concluded that one can only escape the force of the argument through some large premise, such as an aptitude of the intellect for truth, if necessary divinely supported. (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 (equally-sized) regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.

Reply to H. Granger, Aristotle and the finitude of natural kinds, Philosophy 62 (1987), 523-26, which discussed J. Franklin, Aristotle on species variation, Philosophy 61 (1986), 245-52.

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).

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 Fermat's Last Theorem and the Riemann Hypothesis, have had to be considered in terms of the evidence for and against them. It is argued here that it is not adequate to describe the relation of evidence to hypothesis as `subjective', `heuristic' or (...) `pragmatic', but that there must be an element of what it is rational to believe on the evidence, that is, of non-deductive logic. (shrink)

Dispostions, such as solubility, cannont 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.

Explains Aristotle's views on the possibility of continuous variation between biological species.

There are close parallels between perception (the interpretation of sensory experience as representing physical objects) and hermeneutics (the interpretation of signs as having meaning). Perceptual illusions corresponds to ambiguities in texts; naive realism corresponds to fundamentalism; the scientist's reinterpretation of the "manifest image" to the global/local interplay of the "hermeneutic circle" in the interpretation of large texts.

Reviews Lewis's account of the low interest Islamic culture has generally shown about other cultures, and suggests that Islamic openness caused by military weakness may be imitated by the Soviet Union.

THE HISTORY OF IDEAS is full of more tall stories than most other departments of history. Here are three which manage to combine initial implausibility with impregnability to refutation: that in the Middle Ages it was believed that the world was flat; that medieval philosophers debated as to how many angels could dance on the head of a pin; that Galileo revolutionised physics by dropping weights from the Leaning Tower of Pisa. None of these stories is true, and no competent (...) historian has asserted any of them, but none shows any sign of disappearing from the public consciousness. (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)

Talk about ethics involves a great number of different sorts of concepts – rules, virtues, values, outcomes, rights, etc … Ethics is about all those things, but it is not fundamentally about them. Let’s review them with a view to seeing why they are not basic.

Decision under conditions of uncertainty is an unavoidable fact of life. The available evidence rarely suffices to establish a claim with complete confidence, and as a result a good deal of our reasoning about the world must employ criteria of probable judgment. Such criteria specify the conditions under which rational agents are justified in accepting or acting upon propositions whose truth cannot be ascertained with certainty. Since the seventeenth century philosophers and mathematicians have been accustomed to consider belief under uncertainty (...) from the standpoint of the mathematical theory of probability. In 1654, Blaise Pascal entered into correspondence with Pierre de Fermat on two problems in the theory of probability that had been posed by the Chevalier De Méré – the first involved the just division of the stakes in a game of chance that has been interrupted, the second is the likelihood of throwing a given number in a fixed number of throws using fair dice. This correspondence resulted in fundamental results that are now regarded as the foundation of the mathematical approach to probability, and historical studies of probabilistic reasoning almost invariably begin with the Pascal-Fermat correspondence. Franklin has no interest in denying the significance of the mathematical treatment of probability – he is, after all, a professional mathematician – but the principal theme in his book is the gradual “coming to consciousness” of canons of inference governing uncertain cases. (shrink)

There are so many myths about the Middle Ages, it has to be suspected that the general level of "knowledge" about things medieval is actually negative. Here are some of the more famous ones.

Language suggestive of natural law ethics, similar to the Catholic understanding of ethical foundations, is prevalent in a number of disciplines. But it does not always issue in a full-blooded commitment to objective ethics, being undermined by relativist ethical currents. In law and politics, there is a robust conception of "human rights", but it has become somewhat detached from both the worth of persons in themselves and from duties. In education, talk of "values" imports ethical considerations but hints at a (...) subjectivist view of them. In the psychology and sociology of drug use, ethically thin concepts of "harm minimisation" and "selfimage" dominate discussion and distract attention from the virtue of temperance and the training of character. A more forceful assertion of an ethics based on the worth of persons in these cases would be most desirable. Arguments against objectivity in the fundamentals may be replied to by examining the parallel between ethics and the discipline whose objectivity has been least challenged by relativist arguments, mathematics. (shrink)

Argues that married sex is an extreme sexual practice that shows of pornography and other alternatives as second best.