Lukasiewicz logic and investigation of prime numbers

This thesis consists of five chapters. In the first chapter, general information about Lukasiewicz logics is given. Also, there will be a brief summary of study done in the thesis. In the second chapter, some basic definitions and concepts for C2 and Ł_3 will be given. In the third chapter, apart from basic concepts for Ł_n, the interpretation of truth values of Ł_n will be mentioned. In the fourth chapter, the functional properties of n-valued Lukasiewicz logics Ł_n are examined and the connection between these logics and prime numbers is achieved. In the fifth chapter, matrix logics are described for prime numbers, some basic notions will be given for these logics. And then, similar descriptions for powers of prime numbers, even numbers and odd numbers are mentioned.