This is a slightly enhanced version of the acceptance speech given by the author after receiving the Herbrand Award at the 19th International Conference on Automated Deduction (CADE-19) in Miami, Florida, on August 1, 2003. Historical matters related to Herbrand's theorem, higher-order logic, and the author's work are discussed. Contributions by others that have been helpful to the author are noted.

Herbrand's theorem - higher-order logic - TPS