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102Review of Jacob Bernoulli, The Art of Conjecturing, together with Letter to a Friend on Sets in Court Tennis,Translated by Edith Dudley Sylla (review)Isis 101 (1): 213-214. 2010.Review of Sylla's translation of Jacob Bernoulli's Art of Conjecturing, emphasising Bernoulli's success in understanding multiple quantifiers to formulate and prove a law of large numbers
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629How a neural net grows symbolsIn Peter Bartlett (ed.), Proceedings of the Seventh Australian Conference on Neural Networks, Canberra, Acnn '96. pp. 91-96. 1996.Brains, unlike artificial neural nets, use symbols to summarise and reason about perceptual input. But unlike symbolic AI, they “ground” the symbols in the data: the symbols have meaning in terms of data, not just meaning imposed by the outside user. If neural nets could be made to grow their own symbols 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. The article argues the cluster analy…Read more
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96Seized by the spirit of modern science (review)Metascience 6 (1): 1-28. 1997.Reviews of Peter Dear's Discipline and Experience: The Mathematical Way in the Scientific Revolution.
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42Regulated capitalism, market socialismDissent 5 11-13. 2001.In response to Eric Aarons' `Why Communism failed' (Dissent no. 4, 2001) it is argued that the present "capitalist" system is in fact so regulated as to be a hybrid of capitalist and socialist principles. It has some success in putting economic power into the hands of most people, though it needs restraint to cope with market failures.
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150Argues that married sex is an extreme sexual practice that shows up pornography and other alternatives as second best.
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1106What Science Knows: And How It Knows ItEncounter Books. 2009.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.
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695Catholic Values and Australian RealitiesConnor Court. 2006.Collection of articles on themes of Australian Catholic philosophy and history. Articles of philosophical interest include 'Catholic thought and Catholic Action: Dr Paddy Ryan MSC' (on the scholastic philosopher and anti-Communist), 'Catholic schooldays with philosophy', 'Traditional Catholic philosophy: baby and bathwater', 'Secular versus Catholic conceptions of values in Australian education', 'Accountancy as computational casuistics', 'The Mabo High Court and natural law values', and 'Stove,…Read more
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611Traditional Catholic philosophy: baby and bathwaterIn M. Whelan (ed.), Issues for Church and Society in Australia, St Pauls. pp. 15-32. 2006.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’…Read more
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926Two caricatures, I: Pascal's WagerInternational Journal for Philosophy of Religion 44 (2). 1998.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.
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665Two caricatures, II: Leibniz's best worldInternational Journal for Philosophy of Religion 52 (1): 45-56. 2002.Leibniz's best-of-all-possible worlds solution to the problem of evil is defended. Enlightenment misrepresentations are removed. The apparent obviousness of the possibility of better worlds is undermined by the much better understanding achieved in modern mathematical sciences of how global structure constrains local possibilities. It is argued that alternative views, especially standard materialism, fail to make sense of the problem ofevil, by implying that evil does not matter, absolutely spea…Read more
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485Language 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 consideratio…Read more
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814Life to the Full: Rights and Social Justice in Australia (edited book)Connor Court. 2007.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 …Read more
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117Review of Woosuk Park, Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over (review)Philosophia Mathematica 27 (3): 440-443. 2019.ParkWoosuk. _Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over _. Studies in Applied Philosophy, Epistemology, and Rational Ethics; 43. Springer, 2018. ISBN: 978-3-319-95146-1 ; 978-3-030-06984-1 978-3-319-95147-8. Pp. xii + 230. doi: 10.1007/978-3-319-95147-8
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1121The objective Bayesian conceptualisation of proof and reference class problemsSydney Law Review 33 (3): 545-561. 2011.The objective Bayesian view of proof (or logical probability, or evidential support) is explained and defended: that the relation of evidence to hypothesis (in legal trials, science etc) is a strictly logical one, comparable to deductive logic. This view is distinguished from the thesis, which had some popularity in law in the 1980s, that legal evidence ought to be evaluated using numerical probabilities and formulas. While numbers are not always useful, a central role is played in uncertain rea…Read more
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1467Quantity and numberIn Daniel D. Novotný & Lukáš Novák (eds.), Neo-Aristotelian Perspectives in Metaphysics, Routledge. pp. 221-244. 2013.Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of a circle are as clearly known as discrete ones. The theory that mathematics was "the science of quantity" was once the leading philosophy of mathematics. The article looks at puzzles in the classification and epistemology of quantity.
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3286The Science of Conjecture: Evidence and Probability Before PascalJohns Hopkins University Press. 2001.How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of …Read more
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1056Early Modern Mathematical Principles and Symmetry ArgumentsIn Franklin J. W. (ed.), The Idea of Principles in Early Modern Thought Interdisciplinary Perspectives, Routledge. pp. 16-44. 2017.The leaders of the Scientific Revolution were not Baconian in temperament, in trying to build up theories from data. Their project was that same as in Aristotle's Posterior Analytics: they hoped to find necessary principles that would show why the observations must be as they are. Their use of mathematics to do so expanded the Aristotelian project beyond the qualitative methods used by Aristotle and the scholastics. In many cases they succeeded.
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78Donald Cary WilliamsIn Ed Zalta (ed.), Stanford Encyclopedia of Philosophy, Stanford Encyclopedia of Philosophy. pp. 0. 2012.Stanford Encyclopedia article surveying the life and work of D.C. Williams, notably in defending realism in metaphysics in the mid-twentieth century and in justifying induction by the logic of statistical inference.
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1302Mental furniture from the philosophersEt Cetera 40 177-191. 1983.The abstract Latinate vocabulary of modern English, in which philosophy and science are done, is inherited from medieval scholastic Latin. Words like "nature", "art", "abstract", "probable", "contingent", are not native to English but entered it from scholastic translations around the 15th century. The vocabulary retains much though not all of its medieval meanings.
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760Catholic Thought and Catholic Action: Dr Paddy Ryan MscJournal of the Australian Catholic Historical Society 17 44-55. 1996.An account of the life of Dr P.J. Ryan, Australian Catholic scholastic philosopher and anti-Communist organiser
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1196Are dispositions reducible to categorical properties?Philosophical Quarterly 36 (142): 62-64. 1986.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.
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958Healthy ScepticismPhilosophy 66 (257). 1991.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 stan…Read more
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1068Stove's anti-darwinismPhilosophy 72 (279): 133-136. 1997.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 th…Read more
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81Australia's wackiest postmodernistsMercatorNet 1 0-1. 2006.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
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757Evaluating extreme risks in invasion ecology: learning from banking complianceDiversity and Distributions 14 581-591. 2008.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 f…Read more
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565The lure of philosophy in SydneyQuadrant 53 (10): 76-79. 2009."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 '…Read more
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837Evidence gained from torture: Wishful thinking, checkability, and extreme circumstancesCardozo Journal of International and Comparative Law 17 281-290. 2009."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.
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1125Corrupting the youth: a history of philosophy in AustraliaMacleay Press. 2003.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 theori…Read more
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1034Mathematics, core of the past and hope of the futureIn Catherine A. Runcie & David Brooks (eds.), Reclaiming Education: Renewing Schools and Universities in Contemporary Western Society, Edwin H. Lowe Publishing. pp. 149-162. 2018.Mathematics has always been a core part of western education, from the medieval quadrivium to the large amount of arithmetic and algebra still compulsory in high schools. It is an essential part. Its commitment to exactitude and to rigid demonstration balances humanist subjects devoted to appreciation and rhetoric as well as giving the lie to postmodernist insinuations that all “truths” are subject to political negotiation. In recent decades, the character of mathematics has changed – or rathe…Read more
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139Review of Metaphysics and Scientific Realism: Essays in Honour of David Malet Armstrong, edited by Francesco F. Calemi (review)Australasian Journal of Philosophy 96 (1): 183-186. 2018.
Sydney, New South Wales, Australia
Areas of Specialization
| Applied Ethics |
| Science, Logic, and Mathematics |
| Philosophy of Mathematics |
| Interpretation of Probability |
Areas of Interest
| Philosophy of Mathematics |
| General Philosophy of Science |
PhilPapers Editorships
| Mathematical Aristotelianism |