By Honorary Professor James Franklin

Book Chapters

Franklin J, 2026, 'The context of the formation of the ACHS', in Franklin J; O'Brien O; Hughes L (ed.), A Dialogue Between Past and Present: The Australian Catholic Historical Society and Sydney Catholics 1940 – 2025, Australian Catholic Historical Society, Sydney, pp. 8 - 14

Franklin J, 2025, 'Definition and Demonstration in the Category of Quantity and the Ancient Search for the Definition of Ratio', in Anstey PR; Bronstein D (ed.), Definition and Essence from Aristotle to Kant, Routledge, New York, pp. 47 - 70, http://dx.doi.org/10.4324/9781003489252-3

Franklin J, 2024, 'Bayesian Perspectives on Mathematical Practice', in Handbook of the History and Philosophy of Mathematical Practice Volume 1 4, pp. 2711 - 2726, http://dx.doi.org/10.1007/978-3-031-40846-5_84

Franklin J, 2022, 'Demonstration, Method of', in Encyclopedia of Early Modern Philosophy and the Sciences, Springer Nature, pp. 426 - 430, http://dx.doi.org/10.1007/978-3-319-31069-5_55

Franklin J, 2021, 'Bayesian Perspectives on Mathematical Practice', in Handbook of the History and Philosophy of Mathematical Practice, Springer Nature, pp. 1 - 16, http://dx.doi.org/10.1007/978-3-030-19071-2_84-2

Franklin J, 2021, 'Quantifying Risks: Traditions and practices in medieval Western Christian world', in Heiduk M (ed.), Prognostication in the Medieval World A Handbook, Walter de Gruyter GmbH & Co KG, Berlin, pp. 697 - 710, http://dx.doi.org/10.1515/9783110499773-041

Franklin J, 2020, 'Incomprehension of religion in Australian society', in Turner B; Freeman D (ed.), FAITH'S PLACE Democracy in a Religious World, Kapunda Press, pp. 177 - 185

Franklin J, 2020, 'Bayesian perspectives on mathematical practice', in Sriraman B (ed.), Handbook of the History and Philosophy of Mathematical Practice, Springer, Cham, http://dx.doi.org/10.1007/978-3-030-19071-2_84-1

Franklin J, 2020, 'Demonstration, method of', in Jalobeanu D; Wolfe C (ed.), Encyclopedia of Early Modern Philosophy and the Sciences, Springer, Cham, http://dx.doi.org/10.1007/978-3-319-20791-9

Franklin J, 2020, 'Demonstration, Method of', in Encyclopedia of Early Modern Philosophy and the Sciences, Springer Nature, pp. 1 - 5, http://dx.doi.org/10.1007/978-3-319-20791-9_55-1

Franklin J, 2018, 'Pascal’s Wager and the Origins of Decision Theory: Decision-Making by Real Decision-Makers', in Bartha P; Pasternack L (ed.), Pascal's Wager, Cambridge University Press, Cambridge, pp. 27 - 44, http://dx.doi.org/10.1017/9781316850398

Franklin J, 2018, 'Mathematics, core of the past and hope of the future', in Runcie CA; Brooks D (ed.), Reclaiming Education Renewing Schools and Universities in Contemporary Western Culture, Edwin H. Lowe Publishing, Sydney, pp. 149 - 162

Franklin J, 2018, 'Pascal’s Wager and the Origins of Decision Theory: Decision-Making by Real Decision-Makers', in Pascals Wager, pp. 27 - 44, http://dx.doi.org/10.1017/9781316850398.002

Franklin JW, 2017, 'Early Modern Mathematical Principles and Symmetry Arguments', in Anstey PR (ed.), The Idea of Principles in Early Modern Thought Interdisciplinary Perspectives, Routledge, New York, pp. 16 - 44, https://www.routledge.com/The-Idea-of-Principles-in-Early-Modern-Thought-Interdisciplinary-Perspectives/Anstey/p/book/9781138211582

Franklin J, 2016, 'Global and local', in Best Writing on Mathematics 2015, pp. 228 - 240

Franklin JW, 2016, 'Pre-history of probability', in Hayek A; Hitchcock C (ed.), Oxford Handbook of Probability and Philosophy, Oxford University Press, Oxford, pp. 33 - 49, https://global.oup.com/academic/product/the-oxford-handbook-of-probability-and-philosophy-9780199607617?cc=au&lang=en&#

Franklin JW, 2014, 'Quantity and number', in Novotný DD; Novák L (ed.), Neo-Aristotelian Perspectives in Metaphysics, Routledge, New York and London, pp. 221 - 244, https://books.google.com.au/books?hl=en&lr=&id=2QBgAwAAQBAJ&oi=fnd&pg=PA221

Franklin J, 2014, 'Uninstantiated Universals and ‘Semi-Platonist’ Aristotelianism', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, http://dx.doi.org/10.1057/9781137400734.0007

Franklin J, 2014, 'Comparisons and Objections', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 101 - 128, http://dx.doi.org/10.1057/9781137400734_8

Franklin J, 2014, 'Elementary Mathematics: The Science of Quantity', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 31 - 47, http://dx.doi.org/10.1057/9781137400734_4

Franklin J, 2014, 'Epilogue: Mathematics, Last Bastion of Reason', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 260 - 262, http://dx.doi.org/10.1057/9781137400734_17

Franklin J, 2014, 'Explanation in Mathematics', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 207 - 221, http://dx.doi.org/10.1057/9781137400734_14

Franklin J, 2014, 'Geometry: Mathematics or Empirical Science?', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 141 - 162, http://dx.doi.org/10.1057/9781137400734_10

Franklin J, 2014, 'Higher Mathematics: Science of the Purely Structural', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 48 - 66, http://dx.doi.org/10.1057/9781137400734_5

Franklin J, 2014, 'Idealization: An Aristotelian View', in An Aristotelian Realist Philosophy of Mathematics, Palgrave Macmillan UK, pp. 222 - 240, http://dx.doi.org/10.1057/9781137400734_15

Franklin J, 2014, 'Infinity', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 129 - 140, http://dx.doi.org/10.1057/9781137400734_9

Franklin J, 2014, 'Introduction', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 1 - 7, http://dx.doi.org/10.1057/9781137400734_1

Franklin J, 2014, 'Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 165 - 179, http://dx.doi.org/10.1057/9781137400734_11

Franklin J, 2014, 'Knowing Mathematics: Proof and Certainty', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 192 - 206, http://dx.doi.org/10.1057/9781137400734_13

Franklin J, 2014, 'Knowing Mathematics: Visualization and Understanding', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 180 - 191, http://dx.doi.org/10.1057/9781137400734_12

Franklin J, 2014, 'Necessary Truths about Reality', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 67 - 81, http://dx.doi.org/10.1057/9781137400734_6

Franklin J, 2014, 'Non-Deductive Logic in Mathematics', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 241 - 259, http://dx.doi.org/10.1057/9781137400734_16

Franklin J, 2014, 'The Aristotelian Realist Point of View', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 11 - 20, http://dx.doi.org/10.1057/9781137400734_2

Franklin J, 2014, 'The Formal Sciences Discover the Philosophers’ Stone', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 82 - 100, http://dx.doi.org/10.1057/9781137400734_7

Franklin J, 2014, 'Uninstantiated Universals and ‘Semi-Platonist’ Aristotelianism', in An Aristotelian Realist Philosophy of Mathematics, Springer Nature, pp. 21 - 30, http://dx.doi.org/10.1057/9781137400734_3

Newstead A; Franklin J, 2013, 'Indispensability Without Platonism', in Properties Powers and Structures Issues in the Metaphysics of Realism, pp. 81 - 97, http://dx.doi.org/10.4324/9780203124482-13

Franklin JW, 2013, 'Non-deductive logic in Mathematics: The probability of conjectures', in Aberdein A; Dove IJ (ed.), The Argument of Mathematics, Springer Science & Business, pp. 11 - 29

Franklin JW, 2013, 'Probable opinion', in Oxford Handbook of British Philosophy in the Seventeenth Century, Oxford University Press, Oxford, pp. 349 - 372, http://web.maths.unsw.edu.au/~jim/ox17th.pdf

Franklin JW, 2013, 'Science matters in a post-modern world', in Johns G (ed.), Really Dangerous Ideas, Connor Court Publishing Pty Ltd, Australia, pp. 29 - 34

Newstead AG; Franklin JW, 2012, 'Indispensability without platonism', in Bird A; Ellis B; Sankey H (ed.), Properties, Powers and Structures: Issues in the Metaphysics of Realism, Routledge, pp. 81 - 97

Williams G; Kildea P; Lynch AN, 2012, 'Introduction', in Kildea P; Lynch A; Williams G (ed.), Tomorrow's Federation: Reforming Australian Government, Federation Press, Annandale, NSW, pp. 1 - 4

Franklin JW, 2011, 'Philosophy in Sydney', in Oppy G; Trakakis NN (ed.), The Antipodean Philosopher Volume 1: Public Lectures on Philosophy in Australia and New Zealand, Lexington Books, Plymouth, UK, pp. 61 - 66

Franklin JW, 2009, 'Aristotelian realism', in Irvine AD (ed.), Handbook of the Philosophy of Science: Philosophy of Mathematics, Elsevier BV, North Holland, Netherlands, pp. 103 - 155

Franklin JW, 2006, 'Artifice and the natural world: mathematics, logic, technology', in Haakonssen K (ed.), The Cambridge History of Eighteenth-Century Philosophy, Cambridge University Press, USA, pp. 817 - 853

Franklin JW, 2005, 'Traditional Catholic philosophy: baby and bathwater', in Whelan M (ed.), Issues for Church and Society in Australia The Aquinas Academy Jubilee Lectures 2005, St Paul's Publications, Sydney, pp. 15 - 32

Franklin J, 2000, 'Artifice and the Natural World: Mathematics, Logic, Technology', in The Cambridge History of Eighteenth-Century Philosophy, Cambridge University Press (CUP), pp. 815 - 853, http://dx.doi.org/10.1017/chol9780521867436.009

Franklin JW, 2000, '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, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 53 - 115

Franklin J, 1994, 'Fuzzy representations in neural nets', in Fuzzy Logic and Fuzzy Control, Springer Nature, pp. 67 - 81, http://dx.doi.org/10.1007/3-540-58279-7_20

Franklin JW, 1991, 'The ancient legal sources of seventeeth-century probability', in Gaukroger S (ed.), The Uses of Antiquity The Scientific Revolution and the Classical Tradition, Springer Science & Business Media, Dordrecht, pp. 123 - 144

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