Explore the mathematical foundations and theoretical concepts behind Java's lambda expressions in this 52-minute conference talk. Delve into Church Lambda calculus, the Entscheidungsproblem, and the incompleteness theorem, presented through Java code examples. Discover the story behind lambda expressions, gain insights into purely functional programming, and learn impressive mathematical tricks to share with fellow developers. Witness live coding demonstrations of unusual implementations, such as a lambda-based boolean, and understand what "purely functional" truly means in programming. Benefit from the speaker's extensive Java development experience and passion for presenting complex concepts in an engaging, show-like manner.