Honorary Professor, School of Mathematics and Statistics, UNSW

Articles

• ‘Let no‑one ignorant of geometry…’: Mathematical parallels for understanding the objectivity of ethics, Journal of Value Inquiry 57 (2023), 365-84.
• The global-local distinction vindicates Leibniz's theodicy, Theology and Science 20 (4) (2022).
• Catholic Action, Sydney Style: Catholic lay organisations from friendly societies to the Vice Squad, Journal of the Royal Australian Historical Society 108 (2) (2022), 172-201.
• D. Müller, M. Chiodo and J. Franklin, A Hippocratic Oath for mathematicians? Mapping the landscape of ethics in mathematics, Science and Engineering Ethics 28 (2022).
• Mathematics as a science of non-abstract reality: Aristotelian realist philosophies of mathematics, Foundations of Science 27 (2022), 327-44.
• J.J. Joaquin and J. Franklin, A causal-mentalist view of propositions, Organon F 29 (2022), 47-77.
• Sydney 1803: When Catholics were tolerated and Freemasons banned, Journal of the Royal Australian Historical Society 107 (2) (2021), 135-155..
• Quantifying risks: Traditions and practices in medieval Western Christian world, in M. Heiduk, ed, Prognostication in the Medieval World, De Gruyter, 2021 ... text
• Bayesian perspectives on mathematical practice, in B. Sriraman, ed, Handbook of the History and Philosophy of Mathematical Practice, Springer, 2020.
• Antitheodicy and the grading of theodicies by moral offensiveness, Sophia 59 (2020), 563-576.
• Catholic rural virtue in Australia: ideal and reality, Journal of the Australian Catholic Historical Society 40 (2019), 39-61.
• Emergentism as an option in the philosophy of religion: Between materialist atheism and pantheism, Suri: Journal of the Philosophical Association of the Philippines 7 (2) (2019), 1-22.
• Pascal’s wager and the origins of decision theory: decision-making by real decision-makers, in Classic Philosophical Arguments: Pascal’s Wager, ed. P. Bartha and L. Pasternack, Cambridge University Press, 2018, 27-44.
• Mathematics, core of the past and hope of the future, in Reclaiming Education: Renewing Schools and Universities in Contemporary Western Society, ed. C. Runcie and D. Brooks (Edwin H. Lowe Publishing, 2018), 149-162.
• M. Walker and J. Franklin, An argument against drug testing welfare recipients, Kennedy Institute of Ethics Journal 28 (2018), 309-340.
• The Sydney intellectual/religious scene, 1916-2016, St Mark's Review no. 242 (Dec 2017), 20-55.
• Discrete and continuous: a fundamental dichotomy in mathematics, Journal of Humanistic Mathematics 7 (2017), 355-378.
• Early modern mathematical principles and symmetry arguments, in The Idea of Principles in Early Modern Thought, ed. P. Anstey, Routledge, 2017, ch. 1.
• Prehistory of probability, in Oxford Handbook of Probability and Philosophy, ed. A. Hajek and C. Hitchcock, Oxford University Press, 2016, pp. 33-49.
• Catholic missions to Aboriginal Australia: An evaluation of their overall effect, Journal of the Australian Catholic Historical Society 37 (1) (2016), 45-68.
• Elliptical orbits and the Aristotelian scientific revolution, Studia Neoaristotelica 13 (2) (2016), 69-79.
• Logical probability and the strength of mathematical conjectures, Mathematical Intelligencer 38 (3) (Sept 2016), 14-19, ... full text.
• C. Legg and J. Franklin, Perceiving necessity, Pacific Philosophical Quarterly 98 (2017), 320-343.
• Uninstantiated properties and semi-Platonist Aristotelianism, Review of Metaphysics 69 (Sept 2015), 25-45 ... full text.
• Gerald Ridsdale, pedophile priest, in his own words, Journal of the Australian Catholic Historical Society 36 (2015), 219-230.
• Global and local, Mathematical Intelligencer 36 (4) (Dec 2014), 4-9 ... full text.
• Freedom from religion and freedom from irreligion, Connor Court Quarterly 9 (2014), 1-12.
• Quantity and number, in Neo-Aristotelian Perspectives in Metaphysics, ed. D.D. Novotny and L. Novak (Routledge, New York and London, 2014), 221-44.
• Letter from Riga: World history, local level, New Criterion June 2014
• The mathematical world Aeon 7 Apr 2014
• Convent slave laundries? Magdalen asylums in Australia, Journal of the Australian Catholic Historical Society 34 (2013), 70-90.
• Probable opinion, in P. Anstey, ed, The Oxford Handbook of British Philosophy in the Seventeenth Century (OUP, Oxford, 2013), 349-372.
• Non-deductive logic in mathematics: the probability of conjectures, in A. Aberdein and I. Dove, eds, The Argument of Mathematics (Springer, Dordrecht, 2013), 11-29 ... full text.
• Arguments whose strength depends on continuous variation, Informal Logic 33 (2013), 33-56.
• Science matters in a post-modern world, in G. Johns, ed, Really Dangerous Ideas (Connor Court, 2013), 29-34.
• Memoirs by Australian priests, religious and ex-religious, Journal of the Australian Catholic Historical Soc 33 (2012), 142-162 ...comment.
• Science by conceptual analysis: the genius of the late scholastics, Studia Neoaristotelica 9 (2012), 3-24.
• The lethal philosophy of Peter Singer, Quadrant 56 (9) (Sept 2012), 45-49. (shorter version in the Weekend Australian, 12 Oct 2012.)
• M. Burgman, J. Franklin, K.R. Hayes, G.R. Hosack, G.W. Peters & S.A. Sisson, Modeling extreme risks in ecology, Risk Analysis 32 (2012), 1956-1966.
• How much of legal and commonsense reasoning is formalizable? A review of conceptual obstacles, Law, Probability and Risk 11 (2012), 225-245.
• The missionary with 150 wives, Quadrant 56 (7/8), (July/Aug 2012), 31-32.
• A. Newstead and J. Franklin, Indispensability without Platonism, in Properties, Powers and Structures, ed. A. Bird, B. Ellis and H. Sankey (Routledge, New York, 2012), 81-97.
• Global justice: an anti-collectivist and pro-causal ethic, Solidarity: The Journal of Catholic Social Thought and Secular Ethics, 2 (1) (2012).
• The objective Bayesian conceptualisation of proof and reference class problems, Sydney Law Review 33 (2011), 545-61.
• Aristotelianism in the philosophy of mathematics, Studia Neoaristotelica 8 (2011), 3-15.
• S.W.K. Chan and J. Franklin, A text-based decision support system for financial sequence prediction, Decision Support Systems, 52 (2011), 189-198.
• The complexity obstacle, Australian Literary Review 6 Apr 2011, 18-19.
• Caritas in Veritate: Economic Activity as Personal Encounter and the Economy of Gratuitousness, Solidarity: The Journal of Catholic Social Thought and Secular Ethics 1 (1) (2011).
• The Grameen Bank and the way out of world poverty, Annals Australasia no. 122 (Apr/May 2011), 28-29.
• The postmodern calculus, New Criterion 29 (1) (Sept 2010), 75-80.
• Cardinal directions, Quadrant, July/Aug 2010.
• A. Newstead & J. Franklin, The epistemology of geometry I: the problem of exactness, ASCS09: Proceedings of the 9th Conference of the Australasian Society for Cognitive Science, 2010, pp. 254-260.
• Feature selection methods for solving the reference class problem, Columbia Law Review Sidebar, Mar 2010.
• Aristotelian realism, chapter in The Philosophy of Mathematics, ed. A. Irvine (Handbook of the Philosophy of Science series, North-Holland Elsevier, 2009), 101-153.
• Calwell, Catholicism and the origins of multicultural Australia, Proc. of the Australian Catholic Historical Society 2009 Conference, 42-54.
• The lure of philosophy in Sydney, Quadrant, 53 (19) (Oct, 2009), 76-79.
• Evidence gained from torture: wishful thinking, checkability and extreme circumstances, Cardozo Journal of International and Comparative Law, 17 (2) (2009), 281-90.
• The cultural roots of Aboriginal violence, Quadrant 52 (11) (Nov, 2008), 22-25.
• Operational risk under Basel II: A model for extreme risk evaluation, Banking and Financial Services Policy Report 27 (10) (Oct 2008), 10-16.
• J. Franklin, S.A. Sisson, M.A. Burgman and J.K. Martin, Evaluating extreme risks in invasion ecology: learning from banking compliance, Diversity and Distributions 14 (2008), 581-91... story.
• A. Newstead and J. Franklin, On the reality of the continuum, Philosophy 83 (2008), 117-27.
• International compliance regimes: a public sector without restraints, Australian Journal of Professional and Applied Ethics 9 (2) 2007, 86-95.
• Jenness Warin (with J. Franklin), Remote Aboriginal Communities: Why the trade in girls and other human rights abuses remain hidden, Bennelong Society occasional paper, 2007.
• (with S. Sisson) Assessment of strategies for evaluating extreme risks, ACERA report, Mar 2007.
• Case comment: quantification of the ‘proof beyond reasonable doubt’ standard, Law, Probability and Risk, 5 (2006).
• Australia’s wackiest postmodernists, Mercatornet, June 2006.
• Chapter on ‘Artifice and the natural world: Mathematics, logic, technology’ in Cambridge History of Eighteenth Century Philosophy, ed. K. Haakonssen (Cambridge, 2006), pp. 817-53.
• Risk-driven global compliance regimes in banking and accounting: the new Law Merchant, Law, Probability and Risk 4 (2005), 237-50.
• Traditional Catholic philosophy - baby and bathwater, in Issues for Church and Society, ed. M. Whelan (St Pauls, 2006), 15-32.
• Preface to Enemy Aliens: The Internment of Italian Migrants During the Second World War
• A “Professional issues and ethics in mathematics” course, Gazette of the Australian Mathematical Soc 32 (2005), 98-100.
• Is Jensenism compatible with Christianity? Quadrant 48 (12) (Dec 2004), 30-1 ... Michael Jensen’s reply ... my response ... Sydney Anglicans forum
• On the parallel between mathematics and morals, Philosophy 79 (2004), 97-119.
• J. Franklin & S.C. Tueno, Low fertility among women graduates, People and Place 12 (1) (2004), 37-44.
• S. Campbell & J. Franklin, Randomness and induction, Synthese 138 (2004), 79-99.
• The representation of context: ideas from artificial intelligence, Law, Probability and Risk 2 (2003), 191-99.
• J. Franklin & S.C. Tueno, Graduate and childless, Quadrant 47 (7/8) (July/Aug, 2003), 52-55.
  
• S.W.K. Chan & J. Franklin, Dynamic context generation for natural language understanding: A multifaceted knowledge approach, IEEE Transactions on Systems, Man and Cybernetics: A 33 (2003), 23-41.
• Stove’s discovery of the worst argument in the world, Philosophy 77 (2002), 615-24. (html)
• Two caricatures II: Leibniz’s best world, International Journal for Philosophy of Religion 52 (2002), 45-56.
  (Shorter version: Leibniz’s solution to the problem of evil, Think 5 (2003), 97-101)
• Immigration versus democracy, IPA Review 54 (2) (2002), 29.
• A “Professional issues” course: grounding philosophy in workplace realities, Pantaneto Forum 7 (2002).
• Resurrecting logical probability Erkenntnis 55 (2001), 277-305.
• Regulated capitalism, market socialism Dissent no. 5 (2001), 11-13.
• The Sokal hoax and postmodernist embarrassment Continuum 14 (2000), 359-62.
• Thomas Kuhn's irrationalism New Criterion 18 (10) (June 2000), 29-34. (comment)
• Last bastion of reason, New Criterion 18 (9) (May 2000), 74-8.
• Diagrammatic reasoning and modelling in the imagination: the secret weapons of the Scientific Revolution, in 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution, ed. G. Freeland & A. Corones (Kluwer, Dordrecht, 2000), pp. 53-115.
• The Sydney philosophy disturbances, Quadrant 43 (4) (Apr, 1999), 16-21.
• Accountancy as computational casuistics, Eureka Street 9 (1) (Jan/Feb, 1999), 2, 43-6... updated 2007 version (winner of Eureka Street Ethics Essay Competition; reprinted in Australian Accounting Review 9 (2) (July, 1999), 36-43, in Business and Professional Ethics Journal 17 (4) (Winter, 1998), 31-37 and in Values Autumn, 1999; excerpted in City Ethics 34 (Summer, 1999).)
• Catholics versus Masons, Journal of the Australian Catholic Historical Society 20 (1999), 1-15.
• S.W.K. Chan and J. Franklin, Symbolic connectionism in natural language disambiguation, IEEE Trans. on Neural Networks, 9 (1998), 739-55.
• Two caricatures, I: Pascal’s Wager, International Journal for Philosophy of Religion 44 (1998), 109-14. (Abstract)
• D.R. Bellhouse and J. Franklin, The language of chance, International Statistical Review 65 (1997), 73-85.
• Stove’s anti-Darwinism, Philosophy 72 (1997), 133-6.
• Where is mathematics going?, Gazette of the Australian Mathematical Society 24 (1997), 114-9.
• How a neural net grows symbols, Proceedings of the Seventh Australian Conference on Neural Networks, Canberra, 1996, 91-6.
• Catholic thought and Catholic Action: Dr Paddy Ryan MSC and the Red Peril, Journal of the Australian Catholic Historical Society 17 (1996), 44-55.
  (Summary in ADB article on Ryan)
• The Sokal hoax, Philosopher 1 (4) (1996), 21-4.

• J. Franklin & R.J. Stove, eds, Cricket versus Republicanism, by D.C. Stove (Quakers Hill Press, Sydney, 1995) (with introduction and bibliography by J. Franklin).
• The formal sciences discover the philosophers' stone, Studies in History and Philosophy of Science, 25 (1994), 513-33 (Math Reviews's summary; later discussion)
• Achievements and fallacies in Hume's account of infinite divisibility, Hume Studies 20 (1994), 85-101.
• R.K. Templeton & J. Franklin, Adaptive information and animal behaviour: why motorists stop at red traffic lights, Evolutionary Theory 10 (1992), 145-55.
• Healthy scepticism, Philosophy 66 (1991), 305-324.
• The ancient legal sources of seventeenth century probability, in S. Gaukroger, ed, The Uses of Antiquity (Kluwer, Dordrecht, 1991), 123-144.
• Mathematical necessity and reality, Australasian Journal of Philosophy 67 (1989), 286-294. (Abstract)
• Homomorphisms between Verma modules in characteristic p, Journal of Algebra 112 (1988), 58-85. (Abstract)
• Non-deductive logic in mathematics, British Journal for the Philosophy of Science 38 (1987), 1-18.
• Are dispositions reducible to categorical properties? Philosophical Quarterly 36 (1986), 62-64.
• Aristotle on species variation Philosophy 61 (1986), 245-52.
• Natural sciences as textual interpretation: the hermeneutics of the natural sign Philosophy and Phenomenological Research 44 (1984), 509-20.
• Lit. crit. and non-fiction, Quadrant Oct 1984, 41-44.
• Mental furniture from the philosophers, Et Cetera 40 (1983), 177-91.
• The Renaissance myth, Quadrant 26 (11) (Nov, 1982), 51-60.

• Philosophy, mathematics and structure Philosopher 1 (2) (Winter, 1995), 31-38.