Summary
This book presents a theory of abstract objects, defining their existence and nature through axiomatic metaphysical principles. It argues that abstract objects, like numbers and concepts, exist in a realm separate from concrete entities and are characterized by their properties and relations. The theory aims to provide a rigorous and systematic account of these entities, enabling a deeper understanding of their role in logic and mathematics.
The core of the theory involves establishing the logical foundations for abstract objects, treating them as entities that possess properties and stand in relations without being located in space or time. This introduction offers a structured exploration of the axiomatic approach to metaphysics, enabling readers to grasp the logical underpinnings of abstract entities and their implications for philosophical inquiry.
Key concepts
- Theory of Abstract Objects — A formal system for understanding the existence and nature of non-concrete entities.
- Axiomatic Metaphysics — A philosophical approach that uses logical axioms to establish metaphysical claims.
- Abstract Objects — Entities that exist independently of space, time, and concrete particulars, possessing properties and relations.
From the book
Title: An Introduction to a Theory of Abstract Objects by Edward N. Zalta
Categories: Logic, Symbolic and mathematical