The Transformation of the Classical Relationship Between Metaphysics and Logic: Mathematical Objects and Ontological Consequences

Abstract

The aim of the current study is to investigate how metaphysical concepts and mathematical objects form a consistency within the scope of the science of logic, which is systematized with the compulsory principles of the mind. It discusses, especially in the modern period, why ontologies established with mathematical objects and formal principles of logic differ from metaphysical principles, through the main currents of the philosophy of mathematics. One of the focal points of the study is to emphasize that metaphysical concepts contain different meanings according to knowledge basins and to defend the view that ontological structures that claim the impossibility of metaphysical knowledge have developed against the metaphysical concepts defined in their own knowledge basins and do not have universal validity. These claims are discussed based on the literature of the relevant knowledge basins. Finally, the reasons why the metaphysics-classical logic relationship turned into a mathematics-logic relationship in the modern period were criticized.