Ontology and Logic of Processes

Abstract

Among the two (substantial and procedural) rival views on the outside world, preference was historically given to the substantial point of view. The success of Aristotle’s logic was due to the simple substantial ontology built by him. In that logic, the subject is characterized by an instant set of properties. The change of objects leads to the change of properties. The reduction of processes to substances causes a number of problems. The construction of procedural logic should be started with the construction of the most abstract procedural ontology. The main difference of processes from substances is their extension. Each item, as a process, can be considered as a bundle of parallel processes. The relation the individual S has the property P is the main relation in the substantial ontology. In the procedural ontology, one of the main ones is the relation process R is a sub-process of the process Q. This relation is sufficient for the interpretation of the main syllogistic constants. As a result, we get Łukasiewicz syllogistic for reasoning about parallel processes. The extension of the processes allows us to talk about their parts. The second main relation of procedural ontology is the relation process P consists of two successive processes Q and R. If the processes Q and R are successive, it is natural to make use of the relation earlier-later. In procedural ontology, time does not emerge through external postulation but exists within it. In the ontology of processes, one can naturally define the concept of causality, which becomes a logical concept. However, the success of the procedural view of the outside world is only possible if the new ways of reasoning prove to be a more effective tool for intellectual cognitive activity than the existing ones.