Explore the foundations of type theory in programming through this 54-minute conference talk from YOW! 2019. Delve into the deep-rooted connections between types in programming and mathematics, covering topics such as algebraic data types, inductive types, and dependent types. Learn about equalities, natural numbers, and the Curry-Howard correspondence. Discover identity types and their elimination, and gain insights into homotopy type theory. Conclude with a discussion on Zeno's Paradox and its relation to type theory. Enhance your understanding of the theoretical underpinnings of programming languages and their mathematical foundations.