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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Moderate Realism and Its Logic (Hardcover, New)
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Moderate Realism and Its Logic (Hardcover, New)
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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.
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