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Contradiction

Stanford Encyclopedia of Philosophy (2008)

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  1. Internal Negation and the Principles of Non-Contradiction and of Excluded Middle in Aristotle.Christopher Izgin - 2020 - History and Philosophy of Logic 41 (1):1-15.
    It has long been recognized that negation in Aristotle’s term logic differs syntactically from negation in classical logic: modern external negation attaches to propositions fully formed, whereas Aristotelian internal negation forms propositions from sentential constituents. Still, modern external negation is used to render Aristotelian internal negation, as may be seen in formalizations of Aristotle’s semantic principles of non-contradiction and of excluded middle. These principles govern the distribution of truth values among pairs of contradictory propositions, and Aristotelian contradictories always consist of (...)
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  • Odd Objects: LEM Violations and Indeterminacy.Dana Goswick - 2019 - Erkenntnis 86 (6):1615-1633.
    I argue there are some objects which do not respect the Law of the Excluded Middle, i.e., which are such that, for some property F, the disjunction Fo v ~Fo fails to be true. I call such objects “odd objects” and present three examples—fictional objects, nonsort objects, and quantum objects. I argue that each of these objects is best understood as violating LEM. I, then, discuss Jessica Wilson’s account of metaphysical indeterminacy. I show how the indeterminacy which arises with odd (...)
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  • (1 other version)Swyneshed, Paradox and the Rule of Contradictory Pairs.Stephen Read - manuscript
    Roger Swyneshed, in his treatise on insolubles (logical paradoxes), dating from the early 1330s, drew three notorious corollaries of his solution. The third states that there is a contradictory pair of propositions both of which are false. This appears to contradict the Rule of Contradictory Pairs, which requires that in every such pair, one must be true and the other false. Looking back at Aristotle's treatise De Interpretatione, we find that Aristotle himself, immediately after defining the notion of a contradictory (...)
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  • (1 other version)Pyrrhonism and the Law of Non-Contradiction.Diego E. Machuca - 2011 - In Pyrrhonism in Ancient, Modern, and Contemporary Philosophy. Springer.
    The question of whether the Pyrrhonist adheres to certain logical principles, criteria of justification, and inference rules is of central importance for the study of Pyrrhonism. Its significance lies in that, whereas the Pyrrhonist describes his philosophical stance and argues against the Dogmatists by means of what may be considered a rational discourse, adherence to any such principles, criteria, and rules does not seem compatible with the radical character of his skepticism. Hence, if the Pyrrhonist does endorse them, one must (...)
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  • Logical Geometries and Information in the Square of Oppositions.Hans Smessaert & Lorenz Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
    The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams and, on a more abstract level, the Aristotelian geometry. We then introduce (...)
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  • To Describe, Transmit or Inquire: Ethics and technology in school.Viktor Gardelli - 2016 - Dissertation, Luleå University of Technology
    Ethics is of vital importance to the Swedish educational system, as in many other educational systems around the world.Yet, it is unclear how ethics should be dealt with in school, and prior research and evaluations have found serious problems regarding ethics in education.The field of moral education lacks clear and widely accepted definitions of key concepts, and these ambiguities negatively impact both research and educational practice. This thesis draws a distinction between three approaches to ethics in school – the descriptive (...)
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  • La interpretación modal-hamiltoniana y la naturaleza relacional del tiempo.Matías Pasqualini & Sebastian Fortin - 2022 - Critica 54 (161):3-42.
    La interpretación modal-hamiltoniana fue introducida para resolver ciertos problemas de interpretación vinculados a su ontología y a la medición cuántica. Su regla de actualización establece que todo sistema cerrado tiene su energía bien definida, y debido a la indeterminación entre la energía y el tiempo esto plantea un interrogante respecto a la situación temporal de estos sistemas. En este trabajo se analiza el problema del tiempo en sistemas cerrados y se propone la reconstrucción de un tiempo relacional compatible con la (...)
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  • Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements.Lutz Geldsetzer & Richard L. Schwartz - 2012 - New York, NY, USA: Springer.
    This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the (...)
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  • Leśniewski's Systems of Logic and Foundations of Mathematics.Rafal Urbaniak - 2013 - Cham, Switzerland: Springer.
    With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great ...
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  • From Effect to Cause: Deductive Reasoning.Ricardo Tavares da Silva - 2019 - Kairos 22 (1):109-131.
    According to the traditional view, the following incompatibility holds true: in reasoning, either there is warrant (certainty) or there is novelty. If there is warrant, there is not novelty: that would be the case of deductive reasoning. If there is novelty, there is not warrant: that would be the case of inductive reasoning. Causal reasoning would belong to the second group because there is novelty and, therefore, there is not warrant in it. I argue that this is false: reasoning may (...)
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