The course will begin with the origins of quantitative thinking vis-a-vis the number system and its evolution. This will be followed by a discussion of methods in problem solving and estimation, using real-world examples. We will then delve into the world of abstracts, i.e., set theory, geometry, graph theory, probability, and logic. Students will learn how some of these tools can be utilised to study (i) fairness in division of scarce resources, (ii) collective decisions in committees and democracies around the world (voting methods), and (iii) applications to finance- decisions regarding investments and returns. By the end of the course, students would have a basic understanding of the most widely used mathematical tools in the liberal arts. They will learn how to approach different problems from nature and society- by reducing the problems to their bare essentials and to analyse their underlying structural and logical patterns.