Political science is the study of only democratic systems and why they were formed.

False. Political science is a separate field is a rather late arrival in terms of social sciences. However, the term "political science" was not always distinguished from political philosophy, and the modern discipline has a clear set of antecedents including also moral philosophy, political economy, political theology, history, and other fields concerned with normative determinations of what ought to be and with deducing the characteristics and functions of the ideal state.