Ian Schwartz, a professional software developer, discusses functional programming in this episode. He covers key terms, algebraic data types, functional wrappers for state management, and the benefits of functional programming in React. They also explore functors, monads, and the maybe monad. The hosts emphasize the advantages of using functional constructs in React for organizing logic, testing user interfaces, and the benefits of using a 'maybe' type in functional programming languages. They also touch on monads, learning functional programming, contributing to open source, and upcoming video series.