- ‘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.
Selected older publications:
- 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;
- Achievements and fallacies in Hume's account of infinite divisibility,
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,
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.
- Non-deductive logic in mathematics,
British Journal for the Philosophy of Science
38 (1987), 1-18.
- Are dispositions reducible to categorical properties?
36 (1986), 62-64.
- Aristotle on species variation
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,
40 (1983), 177-91.
- The Renaissance myth, Quadrant
26 (11) (Nov, 1982), 51-60.