Mathematical Modeling for Calculation and Display of the Stability of Political Ideologies (Case Study: Assessment of the Stability of Kemalism in the Political System of Turkey)

Applied mathematics is a branch of mathematics that, as an interdisciplinary field, implements the applications of pure mathematics in other sciences. Political science, as a field of humanities and social sciences, has resorted to mathematical tools to achieve goals such as increasing the accuracy of analyses, creating a combined view on issues with diverse branches and effectively displaying data and information as well. This trend has become more intense and rapid in the current era. One of the broad subsystems of applied mathematics is modeling. This interdisciplinary research, in response to the question that how a mathematical model can be designed to calculate and represent the stability or decline of political ideologies, has provided an efficient and suitable mathematical model based on algebraic and geometric components to calculate and display the stability or decline of political ideologies while creating a bridge between the two fields of mathematics and political science. Besides expressing and proving calculations related to this model, it has also shown its advantages over other existing models so as to eliminate part of the existing gap in political researches. As a practical example, the consistency of the ideology of Kemalism in recent decades has been estimated. This research has been done using computational and analytical method and its findings estimate the stability of Kemalism in the political system of Turkey more than a half.