Aspects of Aristotle's Logic of Modalities

Aspects of Aristotle's Logic of Modalities

by J. van Rijen


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Product Details

ISBN-13: 9789401076968
Publisher: Springer Netherlands
Publication date: 12/21/2011
Series: Synthese Historical Library , #35
Edition description: 1989
Pages: 238
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

One/ Subject and Programme.- 1. Introduction.- 2. Quandaries in recent Aristotle research.- 3. The programme of this study.- Notes to Chapter One.- Two/ The General Doctrine I Some Theorems and Rules.- 1. Multifariousness and common core.- 2. A provisional assumption.- 3. Common properties.- 4. Comparisons.- Notes to Chapter Two.- Three/ The General Doctrine II Absolute and Qualified Modalities.- 1. Introduction.- 2. Qualified vs. absolute modalities.- 3. Qualified necessity, syllogisms and the proof per impossibile.- 4. Absolute impossibility and the commensurability of the diagonal.- 5. Real and assumed background knowledge.- 6. Relations between temporal and modal concepts.- Notes to Chapter Three.- Four/ Modality and Time (I) The Principle of Plenitude.- 1. Introduction.- 2. The Principle of Plenitude and its role in Aristotle’s modal thinking.- 3. The evidence.- Notes to Chapter Four.- Five/ Modality and Time (II) De Caelo I.12 and The Necessity of What is Eternal.- 1. The problem.- 2. Williams and the supposed logical errors.- 3. Hintikka and the confusion in Aristotle’s “Master Argument”.- 4. Judson and the “grossness of Aristotle’s fallacy”.- 5. The metaphysics in De Caelo I.12 as exposed by Waterlow.- 6. De Caelo I.12 and the necessity of what is eternal.- 7. Some extrapolations and the role of hylê phthartê.- Notes to Chapter Five.- Six/ Modality and Time (III) De Interpretations 9.- 1. Introduction.- 2. The traditional views.- 3. De Interpretations 9 on the statistical reading.- 4. Deliberation and chance events in De Interpretatione 9.- 5. The interpretation.- Notes to Chapter Six.- Seven/ Posterior Analytics I.4–6 The De Omni-Per Se Distinction.- 1. Introduction.- 2. Zabarella on Aristotelian necessity.- 3. Inseparable accidents.- 4. A first look at Posterior Analytics I.4–6.- 5. Some commentaries on Posterior Analytics I.4 and 6.- 6. Real or conceptual modalities?.- 7. Aristotle, matter, and definition.- Notes to Chapter Seven.- Eight/ Posterior Analytics I.4–6 Names and Naming.- 1. Abstraction in Metaphysics XIII.3.- 2. Abstraction and naming.- 3. The issue of names and naming.- 4. A new look at Posterior Analytics I.4–6, part one.- 5. Some major differences.- 6. A new look at Posterior Analytics 1.4-6, part two.- 7. Belonging kath’ hauto and homogeneity.- 8. Homogeneity, the necessity of what is always and the concept of possibility.- Notes to Chapter Eight.- Nine/ Apodeictic Syllogistic.- 1. Introduction.- 2. External criticism.- 3. The nature of Aristotle’s syllogistic theory.- 4. Apodeictic syllogistic.- 5. Incoherence.- 6. McCall’s reconstruction.- 7. The four apodeictic categorical sentences and apodeictic ecthesis.- 8. The apodeictic conversion rules.- 9. The apodeictic Barbaras and domains of discourse.- 10. The status of ALuu.- 11. The soundness of the inference base.- 12. Conversion rules and shifts of type of predication.- 13. Conclusions.- Notes to Chapter Nine.- Index of Names.- Index of Subjects.

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