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This third volume continues Richard Routley's explorations of an improved Meinongian account of non-referring and intensional discourse (including joint work with Val Routley, later Val Plumwood). It focuses on the essays 8 to 12 of the original monograph, Exploring Meinong's Jungle and Beyond, following on from the material of the first two volumes and further explores aspects and implications of the Noneist position. It begins with a discussion of the value of nonexistent objects championed by noneism, especially as regards theories of perception, universals, value theory and a commonsense account of belief. It continues with: a detailed analysis of what it means to exist; the importance of nonexistent objects to adequate accounts of mathematics and the theoretical sciences; and an account of noneisms' distinctiveness from other accounts of nonexistent objects. These essays are supplemented with scholarly essays from Naoya Fujikawa, and Maureen Eckert and Charlie Donahue.
Universal Logic conceptualizes a new logic, where the main inference connective is understood as 'meaning containment'. Classical logic plays a restricted role, applying to 'classical sentences', while the new logic is studied in depth with chapters on semantics, proof theory, and properties. Based on this logic, simple consistency is proved for naive class theory, also in conjunction with 'classical theories' such as a Z-F-style set theory. This book shows how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.
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Blu-ray disc
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