Results for 'Franklin Perkins'

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  1. Chinese Metaphysics as a Fruitful Subject of Study.Chenyang Li & Franklin Perkins - 2014 - Journal of East-West Thought 4 (4):71-86.
    The study of Chinese philosophy in the English-speaking world has largely focused on ethical and political theories. In comparison, Chinese metaphysics—here understood primarily as theories regarding the nature, components, and operating principles of reality—has been far less researched and recognized. In this essay, we examine various meanings of “metaphysics” as it has been used in denoting a branch of philosophy and make the case that metaphysics is an important part of Chinese philosophy. We argue for the need to study Chinese (...)
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  2. Franklin Perkins, Doing What You Really Want: An Introduction to the Philosophy of Mengzi.George Tsai - 2023 - Journal of Moral Philosophy 20 (1-2):198-201.
    Critical reflections on Franklin Perkins' Doing What You Really Want: An Introduction to the Philosophy of Mengzi. Raises some questions related to two main themes in the book: (1) Mengzi’s conception of human nature, and (2) Mengzi’s view of harmony and conflict in human life.
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  3. The Problem of Molecular Structure Just Is The Measurement Problem.Alexander Franklin & Vanessa Angela Seifert - 2024 - The British Journal for the Philosophy of Science 75 (1).
    Whether or not quantum physics can account for molecular structure is a matter of considerable controversy. Three of the problems raised in this regard are the problems of molecular structure. We argue that these problems are just special cases of the measurement problem of quantum mechanics: insofar as the measurement problem is solved, the problems of molecular structure are resolved as well. In addition, we explore one consequence of our argument: that claims about the reduction or emergence of molecular structure (...)
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  4. 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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  5. Emerging into the rainforest: Emergence and special science ontology.Alexander Franklin & Katie Robertson - 2024 - European Journal for Philosophy of Science 14 (4):1-26.
    Scientific realists don’t standardly discriminate between, say, biology and fundamental physics when deciding whether the evidence and explanatory power warrant the inclusion of new entities in our ontology. As such, scientific realists are committed to a lush rainforest of special science kinds (Ross, 2000). Viruses certainly inhabit this rainforest – their explanatory power is overwhelming – but viruses’ properties can be explained from the bottom up: reductive explanations involving amino acids are generally available. However, reduction has often been taken to (...)
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  6. Bayesian Perspectives on Mathematical Practice.James Franklin - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 2711-2726.
    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 the Riemann hypothesis, have had to be considered in terms of the evidence for and against them. In recent decades, massive increases in computer power have permitted the gathering of huge amounts of numerical evidence, both for conjectures in pure mathematics and (...)
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  7. Incoherent? No, Just Decoherent: How Quantum Many Worlds Emerge.Alexander Franklin - 2024 - Philosophy of Science 91 (2):288 - 309.
    The modern Everett interpretation of quantum mechanics describes an emergent multiverse. The goal of this paper is to provide a perspicuous characterisation of how the multiverse emerges making use of a recent account of (weak) ontological emergence. This will be cashed out with a case study that identifies decoherence as the mechanism for emergence. The greater metaphysical clarity enables the rebuttal of critiques due to Baker (2007) and Dawid and Th\'ebault (2015) that cast the emergent multiverse ontology as incoherent; responses (...)
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  8. Science by Conceptual Analysis.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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  9. 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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  10. Representationalism and the problem of vagueness.Ryan Perkins & Tim Bayne - 2013 - Philosophical Studies 162 (1):71-86.
    This paper develops a novel problem for representationalism (also known as "intentionalism"), a popular contemporary account of perception. We argue that representationalism is incompatible with supervaluationism, the leading contemporary account of vagueness. The problem generalizes to naive realism and related views, which are also incompatible with supervaluationism.
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  11. Mathematics as a science of non-abstract reality: Aristotelian realist philosophies of mathematics.James Franklin - 2022 - Foundations of Science 27 (2):327-344.
    There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares these (...)
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  12. Teaching Children How to Think: Rational Autonomy as an Aim of Liberal Education.Andrew Franklin-Hall - 2021 - Journal of Applied Philosophy 39 (4):581-596.
    Journal of Applied Philosophy, EarlyView.
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  13. High-Level Explanation and the Interventionist’s ‘Variables Problem’.L. R. Franklin-Hall - 2016 - British Journal for the Philosophy of Science 67 (2):553-577.
    The interventionist account of causal explanation, in the version presented by Jim Woodward, has been recently claimed capable of buttressing the widely felt—though poorly understood—hunch that high-level, relatively abstract explanations, of the sort provided by sciences like biology, psychology and economics, are in some cases explanatorily optimal. It is the aim of this paper to show that this is mistaken. Due to a lack of effective constraints on the causal variables at the heart of the interventionist causal-explanatory scheme, as presently (...)
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  14. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: 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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  15. Natural kinds as categorical bottlenecks.Laura Franklin-Hall - 2015 - Philosophical Studies 172 (4):925-948.
    Both realist and anti-realist accounts of natural kinds possess prima facie virtues: realists can straightforwardly make sense of the apparent objectivity of the natural kinds, and anti-realists, their knowability. This paper formulates a properly anti-realist account designed to capture both merits. In particular, it recommends understanding natural kinds as ‘categorical bottlenecks,’ those categories that not only best serve us, with our idiosyncratic aims and cognitive capacities, but also those of a wide range of alternative agents. By endorsing an ultimately subjective (...)
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  16. Self-Subverting Principles of Choice.Michael Perkins & Donald C. Hubin - 1986 - Canadian Journal of Philosophy 16 (1):1 - 10.
    The thesis that rationality consists in the straight-forward maximization of utility has not lacked critics. Typically, however, detractors reject the Humean picture of rationality upon which it seems based; they seek to emancipate reason from the tyranny of the passions. It is, then, noteworthy when an attack on this thesis comes from ‘within the ranks.’David Gauthier's paper ‘Reason and Maximization’ is just such an attack; and for this reason, among others, it is interesting. It is not successful, though. In defense (...)
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  17. Exploratory experiments.L. R. Franklin - 2005 - Philosophy of Science 72 (5):888-899.
    Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.
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  18. Acerca de la interpretación de Landgrebe sobre el cartesianismo de Husserl.Patricio Agustin Perkins - 2014 - Investigaciones Fenomenológicas 11:203-222.
    Critico la teoría hermenéutica de Landgrebe sobre el cartesianismo de Husserl mostrando la estructura argumentativa en la que se inserta, lo que pretende y lo que está forzada a pretender. Su núcleo duro radica en los conceptos de crítica inmanente y lógica interna y tiene como meta final promover una idea de trascendental no-entitativa voluntarista y correlacional opuesta a la de un yo absoluto. Para probar esto, analizo tres niveles del cartesianismo de Landgrebe: primero, la síntesis contradictoria entre apodicticidad y (...)
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  19. New Mechanistic Explanation and the Need for Explanatory Constraints.L. R. Franklin-Hall - 2016 - In Ken Aizawa & Carl Gillett (eds.), Scientific Composition and Metaphysical Ground. London: Palgrave-Macmillan. pp. 41-74.
    This paper critiques the new mechanistic explanatory program on grounds that, even when applied to the kinds of examples that it was originally designed to treat, it does not distinguish correct explanations from those that blunder. First, I offer a systematization of the explanatory account, one according to which explanations are mechanistic models that satisfy three desiderata: they must 1) represent causal relations, 2) describe the proper parts, and 3) depict the system at the right ‘level.’ Second, I argue that (...)
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  20. Holding on to Reasons of the Heart: Cognitive Deterioration and the Capacity to Love".Andrew Franklin-Hall & Agnieszka Jaworska - 2016 - In Katrien Schaubroeck & Esther Kroeker (eds.), Love, Reason and Morality. New York: Routledge. pp. 20-38.
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  21. The global/local distinction vindicates Leibniz's theodicy.James Franklin - 2022 - Theology and Science 20 (4).
    The essential idea of Leibniz’s Theodicy was little understood in his time but has become one of the organizing themes of modern mathematics. There are many phenomena that are possible locally but for purely mathematical reasons impossible globally. For example, it is possible to build a spiral staircase that is rising at any given point, but it is impossible to build one that is rising at all points and comes back to where it started. The necessity is mathematically provable, so (...)
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  22. On Becoming an Adult: Autonomy and the Moral Relevance of Life's Stages.Andrew Franklin-Hall - 2013 - Philosophical Quarterly 63 (251):223-247.
    What is it about a person's becoming an adult that makes it generally inappropriate to treat that person paternalistically any longer? The Standard View holds that a mere difference in age or stage of life cannot in itself be morally relevant, but only matters insofar as it is correlated with the development of capacities for mature practical reasoning. This paper defends the contrary view: two people can have all the same general psychological attributes and yet the mere fact that one (...)
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  23. 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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  24. ‘Let No-One Ignorant of Geometry…’: Mathematical Parallels for Understanding the Objectivity of Ethics.James Franklin - 2023 - Journal of Value Inquiry 57 (2):365-384.
    It may be a myth that Plato wrote over the entrance to the Academy “Let no-one ignorant of geometry enter here.” But it is a well-chosen motto for his view in the Republic that mathematical training is especially productive of understanding in abstract realms, notably ethics. That view is sound and we should return to it. Ethical theory has been bedevilled by the idea that ethics is fundamentally about actions (right and wrong, rights, duties, virtues, dilemmas and so on). That (...)
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  25. El Axioma de elección en el quehacer matemático contemporáneo.Franklin Galindo & Randy Alzate - 2022 - Aitías 2 (3):49-126.
    Para matemáticos interesados en problemas de fundamentos, lógico-matemáticos y filósofos de la matemática, el axioma de elección es centro obligado de reflexión, pues ha sido considerado esencial en el debate dentro de las posiciones consideradas clásicas en filosofía de la matemática (intuicionismo, formalismo, logicismo, platonismo), pero también ha tenido una presencia fundamental para el desarrollo de la matemática y metamatemática contemporánea. Desde una posición que privilegia el quehacer matemático, nos proponemos mostrar los aportes que ha tenido el axioma en varias (...)
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  26. Bacteria, sex, and systematics.L. R. Franklin - 2007 - Philosophy of Science 74 (1):69-95.
    Philosophical discussions of species have focused on multicellular, sexual animals and have often neglected to consider unicellular organisms like bacteria. This article begins to fill this gap by considering what species concepts, if any, apply neatly to the bacterial world. First, I argue that the biological species concept cannot be applied to bacteria because of the variable rates of genetic transfer between populations, depending in part on which gene type is prioritized. Second, I present a critique of phylogenetic bacterial species, (...)
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  27. 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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  28. Explaining Causal Selection with Explanatory Causal Economy: Biology and Beyond.Laura R. Franklin-Hall - 2015 - In P.-A. Braillard & C. Malaterre (eds.), Explanation in Biology: An Enquiry into the Diversity of Explanatory Patterns in the Life Sciences. Springer. pp. 413-438.
    Among the factors necessary for the occurrence of some event, which of these are selectively highlighted in its explanation and labeled as causes — and which are explanatorily omitted, or relegated to the status of background conditions? Following J. S. Mill, most have thought that only a pragmatic answer to this question was possible. In this paper I suggest we understand this ‘causal selection problem’ in causal-explanatory terms, and propose that explanatory trade-offs between abstraction and stability can provide a principled (...)
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  29. David Stove (1927-1994), Sydney philosopher and master of argument: life and work.James Franklin - 2021 - Sydney Realist 43:1-8.
    David Stove was a philosopher strong on argument and polemic. His work on the logical intepretation of probability led to a defence of induction in The Rationality of Induction (1986). It resulted too in his denunciation of Popper, Kuhn, Lakatos and Feyeraband as irrationalists because of their "deductivism" (the thesis that the only logic is deductive logic). Stove also defended controversial views on the intelligence of women and on Darwinism. The article surveys his life and work.
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  30. Resurrecting logical probability.James Franklin - 2001 - Erkenntnis 55 (2):277-305.
    The logical interpretation of probability, or "objective Bayesianism'' – the theory that (some) probabilities are strictly logical degrees of partial implication – is defended. The main argument against it is that it requires the assignment of prior probabilities, and that any attempt to determine them by symmetry via a "principle of insufficient reason" inevitably leads to paradox. Three replies are advanced: that priors are imprecise or of little weight, so that disagreement about them does not matter, within limits; that it (...)
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  31. D.M. Armstrong: Sydney's most distinguished philosopher: life and work.James Franklin - 2020 - Sydney Realist 41:1-6.
    David Armstrong (1926-2014) was much the most internationally successful philosopher to come from Sydney. His life moved from a privileged Empire childhood and student of John Anderson to acclaimed elder statesman of realist philosophy. His philosophy developed from an Andersonian realist inheritance to major contributions on materialist theory of mind and the theory of universals. His views on several other topics such as religion and ethics are surveyed briefly.
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  32. 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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  33. La temporalidad como estructura de L’Action (1893) de Maurice Blondel.Patricio Perkins - 2010 - Tópicos 19:65-81.
    El trabajo analiza la estructura de L'Action (1893) del filósofo francés Maurice Blondel en tres niveles diferentes según el modelo de la configuración triádica de la temporalidad. El primer nivel está implícito en la analítica de la acción llevada a cabo en la Introduction a la obra; el segundo nivel se identifica con el análisis de la pasividad del primer momento de la cuarta parte; el tercer nivel abarca la obra considerada en su globalidad, extendiéndose a la problemática del fenómeno (...)
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  34. (1 other version)El vínculo madre-hijo como suelo del destino.Patricio Agustín Perkins - 2011 - Contrastes: Revista Internacional de Filosofía 16:313-329.
    Analizo la afirmación husserliana «Los vivos despiertan al no vivo», en cuanto caracteriza la condición de posibilidad para el progreso humano desde la perspectiva del vínculo entre un niño y su madre. Primero, describo el ámbito fenomenológico en donde se inscribe esta problemática, i.e. la fenomenología constructiva. Segundo, analizo el tema del proto–niño [Urkind] y de la condición de posibilidad para su progreso según se presenta en el anexo XLV de la Husserliana XV. Tercero, amplío la cuestion indagando la condición (...)
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  35. Vagueness and the Philosophy of Perception.Ryan Perkins - 2012 - Dissertation, University of Oxford
    This dissertation explores several illuminating points of intersection between the philosophy of perception and the philosophy of vagueness. Among other things, I argue: (i) that it is entirely unhelpful to theorize about perception or consciousness using Nagelian "what it's like" talk; (ii) that a popular recent account of perceptual phenomenology (representationalism) conflicts with our best theory of vagueness (supervaluationism); (iii) that there are no vague properties, for Evans-esque reasons; (iv) that it is impossible to insert "determinacy" operators into representationalism in (...)
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  36. 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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  37. Are Jewish and Muslim Aspirations for the Land Compatible?Donald Edwin Franklin - 2003 - Encounters: Journal of Inter-Cultural Perspectives 9 (2):183-196.
    An essay on the compatibility of Jewish and Muslim aspirations for the Land that argues that a vision of peaceful coexistence to provide a spur to the settling of grievances, but that this vision must respect the deeply felt aspirations of both communities, including in particular those underpinned by religious lore. Existing formulations of the aims of each community are blatantly inconsistent; it is time to attempt to characterise the just and religiously authentic goals of each community in ways that (...)
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  38. Emergence without limits: The case of phonons.Alexander Franklin & Eleanor Knox - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 64 (C):68-78.
    Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But there (...)
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  39. La relación filosófica entre Husserl y Avenarius en Problemas fundamentales de la fenomenología.Patricio Agustín Perkins - 2014 - Dianoia 59 (72):25-48.
    Investigo la relación filosófica entre Avenarius y Husserl en los años del curso Problemas fundamentales de la fenomenología en relación especial con el concepto natural de mundo. Primero, expongo brevemente los temas fenomenológicos fundamentales: el concepto natural de mundo, la reducción fenomenológica y la unidad del yo. En segundo lugar, sintetizo las ideas básicas de la obra Der menschliche Weltbegriff de Avenarius. En tercer lugar, discuto la coincidencia entre Avenarius y Husserl, poniendo énfasis en la reducción primordial, y planteo las (...)
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  40. Una presentación de la demostración directa del teorema de compacidad de la lógica de primer orden que usa el método de ultraproductos.Franklin Galindo - 2016 - UnaInvestigación 1 (1):1-25.
    El objetivo principal de este artículo es presentar la demostración directa del Teorema de compacidad de la Lógica de primer orden (Gama tiene un modelo si y sólo si cada subconjunto finito de Gama tiene un modelo) que se realiza utilizando el Método de construcción de modelos llamado "Ultraproductos" que, a su vez, usa "Ultrafiltros". Actualmente es más común demostrar el Teorema de compacidad como un corolario del Teorema de completitud de Gödel y usar el método de reducción al absurdo (...)
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  41. Uninstantiated Properties and Semi-Platonist Aristotelianism.James Franklin - 2015 - Review of Metaphysics 69 (1):25-45.
    A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...)
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  42. 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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  43. TRES TEOREMAS SOBRE CARDINALES MEDIBLES.Franklin Galindo - 2021 - Mixba'al. Revista Metropolitana de Matemáticas 12 (1):15-31.
    El estudio de los "cardinales grandes" es uno de los principales temas de investigación de la teoría de conjuntos y de la teoría de modelos que ha contribuido con el desarrollo de dichas disciplinas. Existe una gran variedad de tales cardinales, por ejemplo cardinales inaccesibles, débilmente compactos, Ramsey, medibles, supercompactos, etc. Tres valiosos teoremas clásicos sobre cardinales medibles son los siguientes: (i) compacidad débil, (ii) Si κ es un cardinal medible, entonces κ es un cardinal inaccesible y existen κ cardinales (...)
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  44. Dos Teoremas de interpolación.Franklin Galindo - 2016 - Divulgaciones Matematicas 17 ( 2):15-42.
    En este artículo se presentan dos demostraciones del teorema de interpolación: Una para la lógica proposicional y otra para la lógica de primer orden. Ambas se realizan en el contexto de la teoría de modelos. El teorema de interpolación afirma que si A y B son fórmulas, donde A no es una contradicción, B no es válida, y B es una consecuencia lógica de A, entonces existe una fórmula C que esta escrita en el lenguaje común al de A y (...)
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  45. El Programa original de David Hilbert y el Problema de la Decibilidad.Franklin Galindo & Ricardo Da Silva - 2017 - Episteme NS: Revista Del Instituto de Filosofía de la Universidad Central de Venezuela 37 (1):1-23.
    En este artículo realizamos una reconstrucción del Programa original de Hilbert antes del surgimiento de los teoremas limitativos de la tercera década del siglo pasado. Para tal reconstrucción empezaremos por mostrar lo que Torretti llama los primeros titubeos formales de Hilbert, es decir, la defensa por el método axiomático como enfoque fundamentante. Seguidamente, mostraremos como estos titubeos formales se establecen como un verdadero programa de investigación lógico-matemático y como dentro de dicho programa la inquietud por la decidibilidad de los problemas (...)
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  46. Perfect set properties in models of ZF.Franklin Galindo & Carlos Di Prisco - 2010 - Fundamenta Mathematicae 208 (208):249-262.
    We study several perfect set properties of the Baire space which follow from the Ramsey property ω→(ω) ω . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
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  47. On the Renormalization Group Explanation of Universality.Alexander Franklin - 2018 - Philosophy of Science 85 (2):225-248.
    It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to (...)
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  48. Nota: ¿CUÁL ES EL CARDINAL DEL CONJUNTO DE LOS NÚMEROS REALES?Franklin Galindo - manuscript
    ¿Qué ha pasado con el problema del cardinal del continuo después de Gödel (1938) y Cohen (1964)? Intentos de responder esta pregunta pueden encontrarse en los artículos de José Alfredo Amor (1946-2011), "El Problema del continuo después de Cohen (1964-2004)", de Carlos Di Prisco , "Are we closer to a solution of the continuum problem", y de Joan Bagaria, "Natural axioms of set and the continuum problem" , que se pueden encontrar en la biblioteca digital de mi blog de Lógica (...)
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  49. Mathematical necessity and reality.James Franklin - 1989 - 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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  50. Un problema abierto de independencia en la teoría de conjuntos relacionado con ultrafiltros no principales sobre el conjunto de los números naturales N, y con Propiedades Ramsey.Franklin Galindo - manuscript
    En el ámbito de la lógica matemática existe un problema sobre la relación lógica entre dos versiones débiles del Axioma de elección (AE) que no se ha podido resolver desde el año 2000 (aproximadamente). Tales versiones están relacionadas con ultrafiltros no principales y con Propiedades Ramsey (Bernstein, Polarizada, Subretículo, Ramsey, Ordinales flotantes, etc). La primera versión débil del AE es la siguiente (A): “Existen ultrafiltros no principales sobre el conjunto de los números naturales (ℕ)”. Y la segunda versión débil del (...)
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