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Overview
In this book D. W. Mertz applies the rules and systems of mathematics and logic to instance ontology, or particularism-the doctrine that asserts the individuality of properties and relations. He surveys the history of instance ontology in writings from ancient times to the present, offers a lucid argument for its validity and extraordinary problem-solving capacities, and associates it with a version of the realist position he calls "moderate realism."Synopsis
Instance ontology, or particularism - the doctrine that asserts the individuality of properties and relations - has been a persistent topic in Western philosophy, discussed in works by Plato and Aristotle, by Muslim and Christian scholastics, and by philosophers of both realist and nominalist positions. This book by D. W. Mertz is the first sustained analysis that applies the rules and systems of mathematics and logic to instance ontology in order to argue for its validity and for its problem-solving capacities and to associate it with a version of the realist position that Mertz calls "moderate realism". Mertz surveys the history of instance ontology in writings from Plato and Aristotle through Leibniz, followed by modern philosophers such as Bertrand Russell and D. M. Armstrong, among others. He also includes a thorough critique of the recent work of Keith Campbell and other contemporary nominalists. Building on the insights gained through this historical overview, he delves deeper into the logic of instance ontology and uncovers some of its extraordinary problem-solving features: distinguishing legitimate from illegitimate impredicative reasoning; uniformly diagnosing the self-referential paradoxes; being free from the limitation theorems of Godel and Tarski; providing a basis for the derivation of arithmetic construed intensionally; and formally distinguishing identity and indiscernibility.
Booknews
Mertz (philosophy and mathematics, U. of Missouri-St. Louis) applies the rules and systems of mathematics and logic to instance ontology, the doctrine that asserts the individuality of properties and relations. Tracing its history from Plato and Aristotle to Bertrand Russell and D. M. Armstrong, he argues for its validity and for its problem-solving capacities, and associates it with a version of the realist position he calls Moderate Realism. Parts of the book have been delivered as lectures or published in journals. Annotation c. Book News, Inc., Portland, OR (booknews.com)