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Profile: James franklin
Profile: James Franklin (University of New South Wales)
  1.  67
    James Franklin (2014). Aristotelian Realist Philosophy of Mathematics. Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...)
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  2. James Franklin (2014). Global and Local. Mathematical Intelligencer 36 (4).
    The global/local contrast is ubiquitous in mathematics. This paper explains it with straightforward examples. It is possible to build a circular staircase that is rising at any point (locally) but impossible to build one that rises at all points and comes back to where it started (a global restriction). Differential equations describe the local structure of a process; their solution describes the global structure that results. The interplay between global and local structure is one of the great themes of mathematics, (...)
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  3.  74
    Catherine Legg & James Franklin (2015). Perceiving Necessity. Pacific Philosophical Quarterly 96 (3).
    In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...)
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  4.  63
    James Franklin (2015). Uninstantiated Properties and Semi-Platonist Aristotelianism. Review of Metaphysics 69 (1):25-45.
    Once the reality of properties is admitted, there are two fundamentally different realist theories of properties. Platonist or transcendent realism holds that properties are abstract objects in the classical sense, of being nonmental, nonspatial, and causally inefficacious. By contrast, Aristotelian or moderate realism takes properties to be literally instantiated in things. An apple’s color and shape are as real and physical as the apple itself. The most direct reason for taking an Aristotelian realist view of properties is that we perceive (...)
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  5. James Franklin (1987). Non-Deductive Logic in Mathematics. British Journal for the Philosophy of Science 38 (1):1-18.
    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 (...)
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  6. John Bigelow, Raymond D. Bradley, Andrew Brennan, Tony Coady, Peter Forrest, James Franklin, Karen Green, Russell Grigg, Matthew Sharpe, Jeanette Kennett, Neil Levy, Catriona Mackenzie, Gary Malinas, Chris Mortensen, Robert Nola & Paul Patton (2011). The Antipodean Philosopher: Public Lectures on Philosophy in Australia and New Zealand. Lexington Books.
     
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  7.  66
    James Franklin (1998). Accountancy as Computational Casuistics. Business and Professional Ethics Journal 17 (4):21-37.
    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 (...)
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  8. James Franklin (1980). More on Part IX of Hume's Dialogues. Philosophical Quarterly 30 (118):69-71.
    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 (...)
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  9.  23
    James Franklin (1988). Mathematics, The Computer Revolution and the Real World. Philosophica 42:79-92.
    The philosophy of mathematics has largely abandoned foundational studies, but is still fixated on theorem proving, logic and number theory, and on whether mathematical knowledge is certain. That is not what mathematics looks like to, say, a knot theorist or an industrial mathematical modeller. The "computer revolution" shows that mathematics is a much more direct study of the world, especially its structural aspects.
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  10. Anne Newstead & James Franklin (2012). Indispensability Without Platonism. In Alexander Bird, Brian Ellis & Howard Sankey (eds.), Properties, Powers and Structures. Routledge
    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 (...)
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  11.  10
    James Franklin (2003). Corrupting the Youth: A History of Philosophy in Australia. Macleay Press.
    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.
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  12. James Franklin (2000). Thomas Kuhn's Irrationalism. New Criterion 18 (10):29-34.
    Criticizes the irrationalist and social constructionist tendencies in Kuhn's Structure of Scientific Revolutions.
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  13. James Franklin (2003). Leibniz's Solution to the Problem of Evil. Think 5 (5):97-101.
    • 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 (...)
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  14.  67
    Scott Campbell & James Franklin (2004). Randomness and the Justification of Induction. Synthese 138 (1):79 - 99.
    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 (...)
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  15. James Franklin (2009). Evidence Gained From Torture: Wishful Thinking, Checkability, and Extreme Circumstances. Cardozo Journal of International and Comparative Law 17:281-290.
    "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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  16.  95
    James Franklin (1986). Are Dispositions Reducible to Categorical Properties? Philosophical Quarterly 36 (142):62-64.
    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.
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  17.  55
    James Franklin (2004). On the Parallel Between Mathematics and Morals. Philosophy 79 (1):97-119.
    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 (...)
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  18.  60
    James Franklin (1994). Achievements and Fallacies in Hume's Account of Infinite Divisibility. Hume Studies 20 (1):85-101.
    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 (...)
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  19.  99
    James Franklin (2007). Introduction. In Life to the Full: Rights and Social Justice in Australia. Connor Court
    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” (...)
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  20. James Franklin (2002). Stove's Discovery of the Worst Argument in the World. Philosophy 77 (4):615-624.
    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 (...)
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  21.  38
    James Franklin (1991). Healthy Scepticism. Philosophy 66 (257):305 - 324.
    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 (...)
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  22.  52
    James Franklin (1989). Mathematical Necessity and Reality. Australasian Journal of Philosophy 67 (3):286 – 294.
    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 regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.
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  23.  31
    James Franklin (1999). Structure and Domain-Independence in the Formal Sciences. Studies in History and Philosophy of Science 30:721-723.
    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.
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  24.  1
    Catherine Legg & James Franklin (2015). Perceiving Necessity. Pacific Philosophical Quarterly 97 (1).
    In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...)
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  25.  27
    James Franklin (2000). Diagrammatic Reasoning and Modelling in the Imagination: The Secret Weapons of the Scientific Revolution. In Guy Freeland & Anthony Corones (eds.), 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution. Kluwer
    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.
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  26.  75
    James Franklin (1998). Two Caricatures, I: Pascal's Wager. [REVIEW] International Journal for Philosophy of Religion 44 (2):109 - 114.
    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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  27.  25
    James Franklin (2006). Artifice and the Natural World: Mathematics, Logic, Technology. In K. Haakonssen (ed.), Cambridge History of Eighteenth-Century Philosophy. Cambridge University Press
    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..
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  28.  43
    James Franklin (2006). Review of N. Wildberger, Divine Proportions: Rational Trigonometry to Universal. [REVIEW] Mathematical Intelligencer 28 (3):73-74.
    Reviews Wildberger's account of his rational trigonometry project, which argues for a simpler way of doing trigonometry that avoids irrationals.
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  29.  21
    James Franklin (1994). The Formal Sciences Discover the Philosophers' Stone. Studies in History and Philosophy of Science 25 (4):513-533.
    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.
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  30.  42
    James Franklin (2011). Aristotelianism in the Philosophy of Mathematics. Studia Neoaristotelica 8 (1):3-15.
    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, (...)
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  31.  31
    James Franklin (2012). Science by Conceptual Analysis. Studia Neoaristotelica 9 (1):3-24.
    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 (...)
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  32.  58
    James Franklin (2002). Immigration Vs Democracy. IPA Review 54 (2):29.
    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.
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  33.  6
    James Franklin (2003). The Science of Conjecture. Mind 112 (447):539-542.
  34.  39
    James Franklin (2005). Probability Theory: The Logic of Science. [REVIEW] Mathematical Intelligencer 27 (2):83-85.
    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 (...)
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  35.  49
    James Franklin (2007). International Compliance Regimes: A Public Sector Without Restraints. Australian Journal of Professional and Applied Ethics 9 (2):86-95.
    Though there is no international government, there are many international regimes that enact binding regulations on particular matters. They include the Basel II regime in banking, IFRS in accountancy, the FIRST computer incident response system, the WHO’s system for containing global epidemics and many others. They form in effect a very powerful international public sector based on technical expertise. Unlike the public services of nation states, they are almost free of accountability to any democratically elected body or (...)
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  36.  51
    James Franklin (2011). Philosophy in Sydney. In G. Oppy & N. Trakakis (eds.), The Antipodean Philosopher. Lexington Books 61-66.
    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 (...)
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  37.  50
    James Franklin, Philorum A Philosophy Forum Jim Franklin - Is There Anything Wrong with Pornography? (Debate with Patricia Petersen) Delivered 02 Jun 2004 Www.Philorum.Org. [REVIEW]
    Argues that married sex is an extreme sexual practice that shows of pornography and other alternatives as second best.
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  38.  16
    Anne Newstead & James Franklin (2008). On the Reality of the Continuum Discussion Note: A Reply to Ormell, 'Russell's Moment of Candour', "Philosophy". Philosophy 83 (323):117-127.
    This paper discusses an argument for the reality of the classical mathematical continuum. An inference to the best explanation type of argument is used to defend the idea that real numbers exist even when they cannot be constructively specified as with the "indefinable numbers".
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  39.  26
    James Franklin (1988). Reply to Armstrong on Dispositions. Philosophical Quarterly 38 (150):86-87.
    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).
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  40.  41
    James Franklin (2009). Aristotelian Realism. In A. Irvine (ed.), The Philosophy of Mathematics (Handbook of the Philosophy of Science series). North-Holland Elsevier
    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 (...)
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  41.  30
    James Franklin & Scott Sisson, Assessment of Strategies for Evaluating Extreme Risks. Australian Centre of Excellence for Risk Analysis Reports.
    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 (...)
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  42.  40
    James Franklin (2005). Case Comment: Quantification of the ‘Proof Beyond Reasonable Doubt’ Standard. Law, Probability and Risk 6:159-165.
    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.".
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  43.  18
    James Franklin (1996). Catholic Thought and Catholic Action: Dr Paddy Ryan Msc. Journal of the Australian Catholic Historical Society 17:44-55.
    An account of the life of Dr P.J. Ryan, Australian Catholic scholastic philosopher and anti-Communist organiser.
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  44.  16
    James Franklin (2013). Arguments Whose Strength Depends on Continuous Variation. Informal Logic 33 (1):33-56.
    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 (...)
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  45.  38
    James Franklin (1996). How a Neural Net Grows Symbols. Proc 7.
    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 (...)
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  46.  9
    James Franklin (1986). Aristotle on Species Variation. Philosophy 61 (236):245 - 252.
    Explains Aristotle's views on the possibility of continuous variation between biological species.
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  47.  33
    James Franklin, Ethics From the Ground Up.
    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.
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  48.  29
    James Franklin (1982). The Renaissance Myth. Quadrant 26 (11):51-60.
    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 (...)
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  49.  16
    James Franklin (2009). Calwell, Catholicism and the Origins of Multicultural Australia. Proceedings of the Australian Catholic Historical Society Conference.
    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.
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  50.  29
    James Franklin (1984). Natural Sciences as Textual Interpretation: The Hermeneutics of the Natural Sign. Philosophy and Phenomenological Research 44 (4):509-520.
    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.
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