what were thomas hobbes 3 mathematical achievements

Thomas Hobbes, the 17th-century English philosopher, is primarily known for his contributions to political philosophy. While he did not have three specific mathematical achievements, he did have a strong interest in mathematics and its application to other fields. Here are three areas where Hobbes's mathematical perspective influenced his thinking:

1. Geometry: Hobbes was intrigued by Euclidean geometry and its logical, deductive approach. He believed that political and social phenomena could be understood and explained using similar logical principles. In his famous work "Leviathan," he used geometric reasoning to argue for a strong central authority in government and promote a social contract theory.

2. Mechanics: Hobbes was fascinated by Isaac Newton's pioneering work in mechanics and the concept of motion. He drew upon these ideas to develop his theory of human motivation, suggesting that all actions are essentially driven by individuals seeking to maximize their own self-interest. This mechanistic view of human behavior was a departure from traditional religious or moralistic explanations.

3. Probability theory: Hobbes understood the importance of probability theory in mathematics. He applied its principles to his political theories, particularly in dealing with uncertainty and risk in governance. Hobbes recognized that predictions about future events, such as political stability or the actions of individuals, involved varying degrees of uncertainty. This understanding influenced his emphasis on the need for strong political authority to mitigate potential conflicts and maintain social order.

While Hobbes did not make direct mathematical discoveries or contributions, his engagement with mathematical concepts and methods influenced his philosophical and political writings.