336,404 research outputs found

    Challenging the Law of Non-contradiction

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    In my paper ‘Elenchos Come Petitio Principii’, I argued that Severino’s elenctic argument does not work against a dialetheist position such as the one defended by Graham Priest. In the present paper, I will focus on some fundamental aspects of the dialetheist’s challenge to the Law of Non Contradiction that have raised many doubts, such as the claim that a true contradiction is at the same time false, or the fact that the dialetheist’s metatheory should be as inconsistent as the object theory. Moreover, I shall exploit such clarifications to reexpose some of the key passages of my critique of the elenctic strategy, in particular those regarding the second figure of elenchos. Finally, I shall reply to the objection that accuses both dialetheism and my own view of not providing incontrovertible grounds to their respective claims

    The Law of Non-Contradiction as a Metaphysical Principle

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    The goals of this paper are two-fold: I wish to clarify the Aristotelian conception of the law of non-contradiction as a metaphysical rather than a semantic or logical principle, and to defend the truth of the principle in this sense. First I will explain what it in fact means that the law of non-contradiction is a metaphysical principle. The core idea is that the law of non-contradiction is a general principle derived from how things are in the world. For example, there are certain constraints as to what kind of properties an object can have, and especially: some of these properties are mutually exclusive. Given this characterisation, I will advance to examine what kind of challenges the law of non-contradiction faces; the main opponent here is Graham Priest. I will consider these challenges and conclude that they do not threaten the truth of the law of non-contradiction understood as a metaphysical principl

    The Law of Non-Contradiction as a Metaphysical Principle

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    The goals of this paper are two-fold: I wish to clarify the Aristotelian conception of the law of non-contradiction as a metaphysical rather than a semantic or logical principle, and to defend the truth of the principle in this sense. First I will explain what it in fact means that the law of non-contradiction is a metaphysical principle. The core idea is that the law of non-contradiction is a general principle derived from how things are in the world. For example, there are certain constraints as to what kind of properties an object can have, and especially: some of these properties are mutually exclusive. Given this characterisation, I will advance to examine what kind of challenges the law of non-contradiction faces—the main opponent here is Graham Priest. I will consider these challenges and conclude that they do not threaten the truth of the law of non-contradiction understood as a metaphysical principle

    Chaucer and Petrarch: “S’amor non è” and the Canticus Troili

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    The scholastic ambience of S’amor non è (Rvf 132) is not accidental; in it Petrarch demolishes the medieval cornerstone of knowledge by contradicting Aristotle’s law of non-contradiction. When Chaucer, however, translated the sonnet in the Troilus, he had to ponder its pensive U-turns within the framework of Boccaccio’s Filostrato. From this perspective, Troilus’s “If no love is” is less a retort to the law of non-contradiction than an interrogation of the law of the excluded middle. Chaucer’s Pandarus simultaneously substantiates the law and gives it the lie

    On Conceiving the Inconsistent

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    This work has been developed within the 2013–15 ahrc project The Metaphysical Basis of Logic: The Law of Non-Contradiction as Basic Knowledge (grant ref. ah/k001698/1). A version of the paper was presented in September 2013 at the Modal Metaphysics Workshop in Bratislava. I am grateful to the audiences there and at the Aristotelian Society meeting for many helpful comments and remarks.Peer reviewedPostprin

    The Laws of Thought

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    The Laws of Thought is an exploration of the deductive and inductive foundations of rational thought. The author here clarifies and defends Aristotle’s Three Laws of Thought, called the Laws of Identity, Non-contradiction and Exclusion of the Middle – and introduces two more, which are implicit in and crucial to them: the Fourth Law of Thought, called the Principle of Induction, and the Fifth Law of Thought, called the Principle of Deduction. This book is a thematic compilation drawn from past works by the author over a period of twenty-three years (1990-2013)

    Local equilibrium and the second law of thermodynamics for irreversible systems with thermodynamic inertia

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    Validity of local equilibrium has been questioned for non-equilibrium systems which are characterized by delayed response. In particular, for systems with non-zero thermodynamic inertia, the assumption of local equilibrium leads to negative values of the entropy production, which is in contradiction with the second law of thermodynamics. In this paper we address this question by suggesting a variational formulation of irreversible evolution of a system with non-zero thermodynamic inertia. We introduce the Lagrangian, which depends on the properties of the normal and the so-called "mirror-image" systems. We show that the standard evolution equations, in particular the Maxwell-Cattaneo-Vernotte equation, can be derived from the variational procedure without going beyond the assumption of local equilibrium. We also argue, that the second law of thermodynamics should be understood as a consequence of the variational procedure and the property of local equilibrium. For systems with instantaneous response this leads to the standard requirement of the local instantaneous entropy production being always positive. However, if a system is characterized by delayed response, the formulation of the second law of thermodynamics should be altered. In particular, the quantity, which is always positive, is not the instantaneous entropy production, but the entropy production averaged over the period of the heat wave.Comment: 12 pages, 7 figure
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