Explain Edward N. Zalta's Object Theory.
Object Theory is a framework for applied ontology. It posits that abstract objects, such as numbers, propositions, and possible worlds, exist and have properties. My approach formalizes these entities and their relations using a highly expressive formal language. The core idea is to use logical axioms and definitions to construct precise metaphysical models, enabling us to deduce consequences and analyze conceptual structures with the rigor of mathematics. It's about building a systematic understanding of what exists, particularly abstract entities.
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