Examining logic and logical systems and their application in other sciences

This article seeks to explain and compare the investigation of logic and logical systems and their application in other sciences, and this research is applied in its own way and research method of library and documentary data and traditional and electronic data collection tools. First, with the basics of logic. and logical systems in theoretical fields, classical and non-classical logic, and then it has been studied in different perspectives about the plurality of logical systems and fuzzy logic, and the comparison of classical logic and fuzzy logic, and the comparison of the views of old and new logicians.

The most important results from the research findings indicate that in logic, the investigation of philosophical issues is also a result of logic, and practical logic is a tool and a set of general rules, which prevent the mind from making mistakes in thinking by their precise application, and in classical logic and logic Fuzzy reasoning is a form of multi-valued logic in which the logical value of the variables can be any real number from 0 to 1 and themselves. In classical set theories, the limits of each set are completely determined, while for the members of a set in the theory Fuzzy degree of membership is the criterion of belonging. In traditional and classical methods of classification, which is also called two-valued logic, an entity or a member of a class is or is not, and this fact can be expressed by the value of zero and one, in other words, in this logic with We are dealing with true (1) or false (0) values. This is the Aristotelian logic that humans use in the form of Boolean algebra in computer logic circuits.