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Laureano Luna
National Distance Education University (PhD)
  1.  86
    Sleeping Beauty: Exploring a Neglected Solution.Laureano Luna - forthcoming - British Journal for the Philosophy of Science.
    The strong law of large numbers and considerations concerning additional information strongly suggest that Beauty upon awakening has probability 1⁄3 to be in a heads-awakening but should still believe the probability that the coin landed heads in the Sunday toss to be 1⁄2. The problem is that she is in a heads-awakening if and only if the coin landed heads. So, how can she rationally assign different probabilities or credences to propositions she knows imply each other? This is the problem (...)
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  2. Cantor’s Proof in the Full Definable Universe.Laureano Luna & William Taylor - 2010 - Australasian Journal of Logic 9:10-25.
    Cantor’s proof that the powerset of the set of all natural numbers is uncountable yields a version of Richard’s paradox when restricted to the full definable universe, that is, to the universe containing all objects that can be defined not just in one formal language but by means of the full expressive power of natural language: this universe seems to be countable on one account and uncountable on another. We argue that the claim that definitional contexts impose restrictions on the (...)
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  3. Indefinite Extensibility in Natural Language.Laureano Luna - 2013 - The Monist 96 (2):295-308.
    The Monist’s call for papers for this issue ended: “if formalism is true, then it must be possible in principle to mechanize meaning in a conscious thinking and language-using machine; if intentionalism is true, no such project is intelligible”. We use the Grelling-Nelson paradox to show that natural language is indefinitely extensible, which has two important consequences: it cannot be formalized and model theoretic semantics, standard for formal languages, is not suitable for it. We also point out that object-object mapping (...)
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  4.  22
    Physicalism, Truth, and the Pinocchio Paradox.Laureano Luna - 2016 - Mind and Matter 14 (1):77-86.
    We develop an argument sketched by Luna (2011) based on the Pinocchio paradox, which was proposed by Eldridge-Smith and Eldridge- Smith (2010). We show that, upon plausible assumptions, the claim that mental states supervene on bodily states leads to the conclusion that some proposition is both paradoxical and not paradoxical. In order to show how the presence of paradoxes can be harnessed for philosophical argumentation, we present as well a couple of related arguments.
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  5. No Successfull Infinite Regress.Laureano Luna - 2014 - Logic and Logical Philosophy 23 (2):189-201.
    We model infinite regress structures -not arguments- by means of ungrounded recursively defined functions in order to show that no such structure can perform the task of providing determination to the items composing it, that is, that no determination process containing an infinite regress structure is successful.
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  6.  13
    Blum’s Puzzle and the Analiticity of Kripkean Identity Statements.Laureano Luna - 2019 - Acta Analytica 34 (1):9-14.
    We rely on a recent puzzle by Alex Blum to offer a new argument for the old Fitch’s thesis that what we learn a posteriori in Kripkean identity statements like ‘Tully is Cicero’ is contingent and what is not contingent in such statements is analytical, hence hardly a posteriori.
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  7.  29
    Yablo’s Paradox and Beginningless Time.Laureano Luna - 2009 - Disputatio 3 (26):89-96.
    The structure of Yablo’s paradox is analysed and generalised in order to show that beginningless step-by-step determination processes can be used to provoke antinomies, more concretely, to make our logical and our on-tological intuitions clash. The flow of time and the flow of causality are usually conceived of as intimately intertwined, so that temporal causation is the very paradigm of a step-by-step determination process. As a conse-quence, the paradoxical nature of beginningless step-by-step determina-tion processes concerns time and causality as usually (...)
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  8.  36
    Tiny Proper Classes.Laureano Luna - 2016 - The Reasoner 10 (10):83-83.
    We propose certain clases that seem unable to form a completed totality though they are very small, finite, in fact. We suggest that the existence of such clases lends support to an interpretation of the existence of proper clases in terms of availability, not size.
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  9.  42
    Can We Consistently Say That We Cannot Speak About Everything?Laureano Luna - 2008 - The Reasoner 2 (9):5-7.
    Following an idea from Gödel and Carnap we show how we can speak with absolute generality even if we cannot quantify with absolute generality.
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  10.  23
    Intentionality and Computationalism. A Diagonal Argument.Laureano Luna & Christopher Small - 2009 - Mind and Matter 7 (1):81-90.
    Computationalism is the claim that all possible thoughts are computations, i.e. executions of algorithms. The aim of the paper is to show that if intentionality is semantically clear, in a way defined in the paper, then computationalism must be false. Using a convenient version of the phenomenological relation of intentionality and a diagonalization device inspired by Thomson's theorem of 1962, we show there exists a thought that canno be a computation.
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  11.  70
    Grim's Arguments Against Omniscience and Indefinite Extensibility.Laureano Luna - 2012 - International Journal for Philosophy of Religion 72 (2):89-101.
    Patrick Grim has put forward a set theoretical argument purporting to prove that omniscience is an inconsistent concept and a model theoretical argument for the claim that we cannot even consistently define omniscience. The former relies on the fact that the class of all truths seems to be an inconsistent multiplicity (or a proper class, a class that is not a set); the latter is based on the difficulty of quantifying over classes that are not sets. We first address the (...)
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  12.  16
    Rescuing Poincaré From Richard’s Paradox.Laureano Luna - 2017 - History and Philosophy of Logic 38 (1):57-71.
    Poincaré in a 1909 lecture in Göttingen proposed a solution to the apparent incompatibility of two results as viewed from a definitionist perspective: on the one hand, Richard’s proof that the definitions of real numbers form a countable set and, on the other, Cantor’s proof that the real numbers make up an uncountable class. Poincaré argues that, Richard’s result notwithstanding, there is no enumeration of all definable real numbers. We apply previous research by Luna and Taylor on Richard’s paradox, indefinite (...)
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  13.  42
    Ungrounded Causal Chains and Beginningless Time.Laureano Luna - 2009 - Logic and Logical Philosophy 18 (3-4):297-307.
    We use two logical resources, namely, the notion of recursively defined function and the Benardete-Yablo paradox, together with some inherent features of causality and time, as usually conceived, to derive two results: that no ungrounded causal chain exists and that time has a beginning.
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  14.  33
    No Successful Infinite Regress.Laureano Luna - 2014 - Logic and Logical Philosophy 23 (2):189-201.
    We model infinite regress structures — not arguments — by means of ungrounded recursively defined functions in order to show that no such structure can perform the task of providing determination to the items composing it, that is, that no determination process containing an infinite regress structure is successful.
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  15.  37
    Reasoning From Paradox.Laureano Luna - 2011 - The Reasoner 5 (2):22-23.
    Godel's and Tarski's theorems were inspired by paradoxes: the Richard paradox, the Liar. Godel, in the 1951 Gibbs lecture argued from his metatheoretical results for a metaphysical claim: the impossibility of reducing, both, mathematics to the knowable by the human mind and the human mind to a finite machine (e.g. the brain). So Godel reasoned indirectly from paradoxes for metaphysical theses. I present four metaphysical theses concerning mechanism, reductive physicalism and time for the only purpose of suggesting how it could (...)
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  16.  44
    Arithmetic and Logic Incompleteness: The Link.Laureano Luna & Alex Blum - 2008 - The Reasoner 2 (3):6.
    We show how second order logic incompleteness follows from incompleteness of arithmetic, as proved by Gödel.
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  17.  29
    A FailedCassatio? A Note on Valor and Martínez on Goldstein.Laureano Luna - 2010 - Proceedings of the Aristotelian Society 110 (3pt3):383-386.
    I address the claim by Valor and Martínez that Goldstein's cassationist approach to Liar-like paradoxes generates paradoxes it cannot solve. I argue that these authors miss an essential point in Goldstein's cassationist approach, namely the thesis that paradoxical sentences are not able to make the statement they seem to make.
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  18.  22
    A Note On Formal Reasoning with Extensible Domain.Laureano Luna - 2009 - The Reasoner 3 (7):5-6.
    Assuming the indefinite extensibility of any domain of quantification leads to reasoning with extensible domain semantics. It is showed that some theorems (e.g. Thomson's) in conventional semantics logic are not theorems in a logic provided with this new semantics.
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  19.  14
    Cómo Hacer Metafísica a Partir de la Lógica.Laureano Luna - 2012 - Thémata. Revista de Filosofía 45:261-274.
    We offer a number of arguments for or against particular metaphysical theses. All of them are based in phenomena or results in mathematical logic, broadly conceived, and are offered as exemplification of the possibility of arguing in metaphysics from such results.
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  20. A Failed Cassatio? On Valor and Martinez on Goldstein.Laureano Luna - 2010 - Proceedings of the Aristotelian Society.
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  21. La Insuficiencia del Discurso Racional.Laureano Luna - 2013 - Madrid: Biblioteca Nueva. Colección: Razón y Sociedad.
    ¿Podría estar amenazado el futuro de nuestra civilización por un abuso secular de la razón? Cabe argumentar que la Modernidad se construyó sobre la ambición cartesiana de conocer y regular el mundo mediante el discurso racional, postergando el conocimiento sensible y descartando cualquier posibilidad de un conocimiento intelectual diferente de la razón científico-matemática. Según el autor, esta ambición ha moldeado el quehacer científico, filosófico y matemático de la Modernidad y persiste todavía en el discurso ético-político del capitalismo global. Laureano Luna (...)
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  22. Minds Vs. Machines. On Saka's Basic Blindspot Theorem.Laureano Luna - 2015 - Journal of Experimental and Theoretical Artificial Intelligence 27 (4):483-486.
    Under the name of ‘Basic Blindspot Theorem’, Paul Saka has proposed in the special issue on mind and paradox of this journal a Gödelian argument to the effect that no cognitive system can be complete and correct. We show that while the argument is successful as regards mechanical and formal systems, it may fail with respect to minds, so contributing to draw a boundary between the former and the latter. The existence of such a boundary may lend support to Saka’s (...)
     
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  23. On Non-Standard Models of Peano Arithmetic.Laureano Luna - 2008 - The Reasoner 2:2.
  24. Satisfiable and Unsatisfied Paradoxes. How Closely Related?Laureano Luna - 2013 - The Reasoner 7 (5):56-7.