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James Franklin [121]Julian H. Franklin [20]Johanna N. Y. Franklin [12]John Hope Franklin [5]
J. Franklin [4]J. W. Franklin [2]Jerrold Franklin [2]James C. Franklin [2]

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James Franklin
University of New South Wales
Jerrold Franklin
Temple University
  1. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Stucture.James Franklin - 2014 - 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.  31
    Emergentism as an Option in the Philosophy of Religion: Between Materialist Atheism and Pantheism.James Franklin - 2019 - Suri: Journal of the Philosophical Association of the Philippines 7 (2):1-22.
    Among worldviews, in addition to the options of materialist atheism, pantheism and personal theism, there exists a fourth, “local emergentism”. It holds that there are no gods, nor does the universe overall have divine aspects or any purpose. But locally, in our region of space and time, the properties of matter have given rise to entities which are completely different from matter in kind and to a degree god-like: consciousnesses with rational powers and intrinsic worth. The emergentist option is compared (...)
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  3.  35
    Corrupting the Youth: A History of Philosophy in Australia.James Franklin - 2003 - Sydney, 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. 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 theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...)
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  4.  30
    How Much of Commonsense and Legal Reasoning is Formalizable? A Review of Conceptual Obstacles.James Franklin - 2012 - Law, Probability and Risk 11:225-245.
    Fifty years of effort in artificial intelligence (AI) and the formalization of legal reasoning have produced both successes and failures. Considerable success in organizing and displaying evidence and its interrelationships has been accompanied by failure to achieve the original ambition of AI as applied to law: fully automated legal decision-making. The obstacles to formalizing legal reasoning have proved to be the same ones that make the formalization of commonsense reasoning so difficult, and are most evident where legal reasoning has to (...)
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  5. Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (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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  6. Leibniz's Solution to the Problem of Evil: Franklin Leibniz on Evil.James Franklin - 2003 - Think 2 (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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  7. Degrees of Categoricity and the Hyperarithmetic Hierarchy.Barbara F. Csima, Johanna N. Y. Franklin & Richard A. Shore - 2013 - Notre Dame Journal of Formal Logic 54 (2):215-231.
    We study arithmetic and hyperarithmetic degrees of categoricity. We extend a result of E. Fokina, I. Kalimullin, and R. Miller to show that for every computable ordinal $\alpha$, $\mathbf{0}^{}$ is the degree of categoricity of some computable structure $\mathcal{A}$. We show additionally that for $\alpha$ a computable successor ordinal, every degree $2$-c.e. in and above $\mathbf{0}^{}$ is a degree of categoricity. We further prove that every degree of categoricity is hyperarithmetic and show that the index set of structures with degrees (...)
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  8. Discrete and Continuous: A Fundamental Dichotomy in Mathematics.James Franklin - 2017 - Journal of Humanistic Mathematics 7 (2):355-378.
    The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article (...)
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  9.  65
    Mathematics, Core of the Past and Hope of the Future.James Franklin - 2018 - In Catherine A. Runcie & David Brooks (eds.), Reclaiming Education: Renewing Schools and Universities in Contemporary Western Society. Sydney, Australia: Edwin H. Lowe Publishing. pp. 149-162.
    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 rather broadened: it has become (...)
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  10. Van Lambalgen's Theorem and High Degrees.Johanna N. Y. Franklin & Frank Stephan - 2011 - Notre Dame Journal of Formal Logic 52 (2):173-185.
    We show that van Lambalgen's Theorem fails with respect to recursive randomness and Schnorr randomness for some real in every high degree and provide a full characterization of the Turing degrees for which van Lambalgen's Theorem can fail with respect to Kurtz randomness. However, we also show that there is a recursively random real that is not Martin-Löf random for which van Lambalgen's Theorem holds with respect to recursive randomness.
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  11. Aristotelianism in the Philosophy of Mathematics.James Franklin - 2011 - 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, is (...)
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  12. Uninstantiated Properties and Semi-Platonist Aristotelianism.James Franklin - 2015 - 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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  13.  10
    Woosuk Park.*Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over. [REVIEW]James Franklin - 2019 - Philosophia Mathematica 27 (3):440-443.
    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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  14.  68
    Pascal’s Wager and the Origins of Decision Theory: Decision-Making by Real Decision-Makers.James Franklin - 2018 - In Paul Bartha & Lawrence Pasternack (eds.), Pascal's Wager. Cambridge: Cambridge University Press. pp. 27-44.
    Pascal’s Wager does not exist in a Platonic world of possible gods, abstract probabilities and arbitrary payoffs. Real decision-makers, such as Pascal’s “man of the world” of 1660, face a range of religious options they take to be serious, with fixed probabilities grounded in their evidence, and with utilities that are fixed quantities in actual minds. The many ingenious objections to the Wager dreamed up by philosophers do not apply in such a real decision matrix. In the situation Pascal addresses, (...)
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  15.  19
    Quantity and Number.James Franklin - 2014 - In Daniel D. Novotný & Lukáš Novák (eds.), Neo-Aristotelian Perspectives in Metaphysics. New York, USA: Routledge. pp. 221-244.
    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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  16. Diagrammatic Reasoning and Modelling in the Imagination: The Secret Weapons of the Scientific Revolution.James Franklin - 2000 - In Guy Freeland & Anthony Corones (eds.), 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution. Kluwer Academic Publishers.
    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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  17. Global and Local.James Franklin - 2014 - 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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  18.  15
    The Social Context of Adolescents’ Right to Transition.Joshua Franklin - 2019 - American Journal of Bioethics 19 (2):65-66.
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  19.  42
    What Science Knows: And How It Knows It.James Franklin - 2009 - Encounter Books.
    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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  20. Resurrecting Logical Probability.J. Franklin - 2001 - Erkenntnis 55 (2):277-305.
    The logical interpretation of probability, or ``objective Bayesianism''''– the theory that (some) probabilitiesare strictly logical degrees of partial implication – is defended.The main argument against it is that it requires the assignment ofprior probabilities, and that any attempt to determine them by symmetryvia a ``principle of insufficient reason'''' inevitably leads to paradox.Three replies are advanced: that priors are imprecise or of little weight, sothat disagreement about them does not matter, within limits; thatit is possible to distinguish reasonable from unreasonable priorson (...)
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  21. Achievements and Fallacies in Hume's Account of Infinite Divisibility.James Franklin - 1994 - 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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  22.  14
    The Objective Bayesian Conceptualisation of Proof and Reference Class Problems.James Franklin - 2011 - Sydney Law Review 33 (3):545-561.
    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 reasoning by the (...)
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  23.  61
    Mental Furniture From the Philosophers.James Franklin - 1983 - Et Cetera 40:177-191.
    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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  24. Rigid Body Motion in Special Relativity.Jerrold Franklin - 2013 - Foundations of Physics 43 (12):1489-1501.
    We study the acceleration and collisions of rigid bodies in special relativity. After a brief historical review, we give a physical definition of the term ‘rigid body’ in relativistic straight line motion. We show that the definition of ‘rigid body’ in relativity differs from the usual classical definition, so there is no difficulty in dealing with rigid bodies in relativistic motion. We then describe The motion of a rigid body undergoing constant acceleration to a given velocity.The acceleration of a rigid (...)
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  25.  61
    An Argument Against Drug Testing Welfare Recipients.Mary Jean Walker & James Franklin - 2018 - Kennedy Institute of Ethics Journal 28 (3):309-340.
    Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...)
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  26.  12
    Adaptive Information and Animal Behaviour: Why Motorists Stop at Red Traffic Lights.Ronald W. Templeton & James Franklin - 1992 - Evolutionary Theory 10:145-155.
    Argues that information, in the animal behaviour or evolutionary context, is correlation/covariation. The alternation of red and green traffic lights is information because it is (quite strictly) correlated with the times when it is safe to drive through the intersection; thus driving in accordance with the lights is adaptive (causative of survival). Daylength is usefully, though less strictly, correlated with the optimal time to breed. Information in the sense of covariance implies what is adaptive; if an animal can infer what (...)
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  27.  30
    Schnorr Trivial Sets and Truth-Table Reducibility.Johanna N. Y. Franklin & Frank Stephan - 2010 - Journal of Symbolic Logic 75 (2):501-521.
    We give several characterizations of Schnorr trivial sets, including a new lowness notion for Schnorr triviality based on truth-table reducibility. These characterizations allow us to see not only that some natural classes of sets, including maximal sets, are composed entirely of Schnorr trivials, but also that the Schnorr trivial sets form an ideal in the truth-table degrees but not the weak truth-table degrees. This answers a question of Downey, Griffiths and LaForte.
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  28. The Formal Sciences Discover the Philosophers' Stone.James Franklin - 1994 - Studies in History and Philosophy of Science Part A 25 (4):513-533.
    The formal sciences - mathematical as opposed to natural sciences, such as operations research, statistics, theoretical computer science, systems engineering - appear to have achieved mathematically provable knowledge directly about the real world. It is argued that this appearance is correct.
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  29. Non-Deductive Logic in Mathematics.James Franklin - 1987 - 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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  30. Randomness and the Justification of Induction.Scott Campbell & James Franklin - 2004 - 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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  31.  10
    Feature Selection Methods for Solving the Reference Class Problem.James Franklin - 2010 - Columbia Law Review Sidebar 110:12-23.
    Probabilistic inference from frequencies, such as "Most Quakers are pacifists; Nixon is a Quaker, so probably Nixon is a pacifist" suffer from the problem that an individual is typically a member of many "reference classes" (such as Quakers, Republicans, Californians, etc) in which the frequency of the target attribute varies. How to choose the best class or combine the information? The article argues that the problem can be solved by the feature selection methods used in contemporary Big Data science: the (...)
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  32. Aristotelian Realism.James Franklin - 2009 - 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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  33.  11
    Last Bastion of Reason. [REVIEW]James Franklin - 2000 - New Criterion 18 (9):74-78.
    Attacks the irrationalism of Lakatos's Proofs and Refutations and defends mathematics as a "last bastion" of reason against postmodernist and deconstructionist currents.
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  34.  56
    The Science of Conjecture: Evidence and Probability Before Pascal.James Franklin - 2001 - Baltimore, USA: Johns Hopkins University Press.
    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 induction before Hume, design arguments for (...)
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  35. Hyperimmune-Free Degrees and Schnorr Triviality.Johanna N. Y. Franklin - 2008 - Journal of Symbolic Logic 73 (3):999-1008.
    We investigate the relationship between lowness for Schnorr randomness and Schnorr triviality. We show that a real is low for Schnorr randomness if and only if it is Schnorr trivial and hyperimmune free.
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  36. Science by Conceptual Analysis: The Genius of the Late Scholastics.James Franklin - 2012 - 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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  37.  7
    Anti-Complex Sets and Reducibilities with Tiny Use.Johanna N. Y. Franklin, Noam Greenberg, Frank Stephan & Guohua Wu - 2013 - Journal of Symbolic Logic 78 (4):1307-1327.
  38. Indispensability Without Platonism.Anne Newstead & James Franklin - 2012 - In Alexander Bird, Brian Ellis & Howard Sankey (eds.), Properties, Powers, and Structures: Issues in the Metaphysics of Realism. New York, USA: Routledge. pp. 81-97.
    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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  39. Stove's Discovery of the Worst Argument in the World.James Franklin - 2002 - 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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  40. On the Parallel Between Mathematics and Morals.James Franklin - 2004 - 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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  41.  6
    Schnorr Trivial Reals: A Construction. [REVIEW]Johanna N. Y. Franklin - 2008 - Archive for Mathematical Logic 46 (7-8):665-678.
    A real is Martin-Löf (Schnorr) random if it does not belong to any effectively presented null ${\Sigma^0_1}$ (recursive) class of reals. Although these randomness notions are very closely related, the set of Turing degrees containing reals that are K-trivial has very different properties from the set of Turing degrees that are Schnorr trivial. Nies proved in (Adv Math 197(1):274–305, 2005) that all K-trivial reals are low. In this paper, we prove that if ${{\bf h'} \geq_T {\bf 0''}}$ , then h (...)
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  42. Lorentz Contraction, Bell’s Spaceships and Rigid Body Motion in Special Relativity.Jerrold Franklin - 2010 - European Journal of Physics 31:291-298.
    The meaning of Lorentz contraction in special relativity and its connection with Bell’s spaceships parable is discussed. The motion of Bell’s spaceships is then compared with the accelerated motion of a rigid body. We have tried to write this in a simple form that could be used to correct students’ misconceptions due to conflicting earlier treatments.
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  43. Schnorr Triviality and Genericity.Johanna N. Y. Franklin - 2010 - Journal of Symbolic Logic 75 (1):191-207.
    We study the connection between Schnorr triviality and genericity. We show that while no 2-generic is Turing equivalent to a Schnorr trivial and no 1-generic is tt-equivalent to a Schnorr trivial, there is a 1-generic that is Turing equivalent to a Schnorr trivial. However, every such 1-generic must be high. As a corollary, we prove that not all K-trivials are Schnorr trivial. We also use these techniques to extend a previous result and show that the bases of cones of Schnorr (...)
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  44. Are Dispositions Reducible to Categorical Properties?James Franklin - 1986 - Philosophical Quarterly 36 (142):62-64.
    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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  45. Strangers to Nature: Animal Lives and Human Ethics.Drucilla Cornell, Julian H. Franklin, Heather M. Kendrick, Eduardo Mendieta, Andrew Linzey, Paola Cavalieri, Rod Preece, Ted Benton, Michael J. Thompson, Michael Allen Fox, Lori Gruen, Ralph R. Acampora, Bernard Rollin & Peter Sloterdijk - 2012 - Lexington Books.
    Strangers to Nature brings together many of the leading scholars who are working to redefine and expand the discourse on animal ethics. This volume will engage both scholars and lay-people by revealing the breadth of theorizing about the human/non-human animal relationship that is currently taking place.
     
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  46. More on Part IX of Hume's Dialogues.James Franklin - 1980 - 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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  47. Animal Rights and Moral Philosophy.Julian H. Franklin - 2004 - Columbia University Press.
    Animals obviously cannot have a right of free speech or a right to vote because they lack the relevant capacities. But their right to life and to be free of exploitation is no less fundamental than the corresponding right of humans, writes Julian H. Franklin. This theoretically rigorous book will reassure the committed, help the uncertain to decide, and arm the polemicist. Franklin examines all the major arguments for animal rights proposed to date and extends the philosophy in new directions. (...)
     
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  48. Two Caricatures, I: Pascal's Wager.James Franklin - 1998 - 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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  49.  24
    The Antipodean Philosopher: Public Lectures on Philosophy in Australia and New Zealand.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 - Lexington Books.
    Series of lectures on many aspects of philosophy in Australia.
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  50. Subclasses of the Weakly Random Reals.Johanna N. Y. Franklin - 2010 - Notre Dame Journal of Formal Logic 51 (4):417-426.
    The weakly random reals contain not only the Schnorr random reals as a subclass but also the weakly 1-generic reals and therefore the n -generic reals for every n . While the class of Schnorr random reals does not overlap with any of these classes of generic reals, their degrees may. In this paper, we describe the extent to which this is possible for the Turing, weak truth-table, and truth-table degrees and then extend our analysis to the Schnorr random and (...)
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