On the origins of logical pluralism

Abstract

The article presents a brief analysis of how the existence of various logics became possi­ble. This is shown on the example of such well-known logical theories as syllogistics, temporal, multivalued, intuitionistic, paraconsistent and quantum logics. Each of them arose not on someone’s whim, but to solve specific problems. They are based on the most general ontological assumptions about the subject area under study. In formal logic onto­logical assumptions are refined in the concept of a model structure. Since it is impossible to talk about logic in isolation from the language used, the most general epistemic as­sumptions about the nature of the relationship of linguistic expressions to those objects of extralinguistic reality that they represent are also accepted. One of the most important of these relationships is the concept of the truth of sentences, which was first formulated by Plato and Aristotle. Taking certain ontological and epistemic assumptions depending on the problem being solved, we obtain different logics. Process logic is primarily char­acterized by special ontological assumptions that are fundamentally different from the as­sumptions of other currently existing logics. The ontology of processes is an ontology of developing processes, not things. Historically, it was most vividly described in the writings of Heraclitus. In the overwhelming majority of modern approaches to the de­scription of processes, we see attempts to reduce them to sequences of states, which de­values the very concept of a process, just as a cinematic picture of the flow of time deval­ues the concept of time. Since logics are built on the basis of various ontological and epistemic assumptions, they are inherently theories of these accepted assumptions, and not universal reasoning tools that don’t depend on the characteristics of the study area and the categories of linguistic expressions. Universal logic is possible if one rises from the level of specific languages to a higher level of sign theory.