Delve into the fascinating world of cosmology in this 89-minute conference talk featuring renowned pioneers of inflation, Alan Guth and Andrei Linde, as they present their strongest case for the inflationary theory. Moderated by Brian Greene, explore the problems with the Big Bang theory, understand the realization of the inflationary paradigm, and examine observational support for this groundbreaking concept. Discover the intricacies of eternal inflation and the measure problem, and gain insights into the future of cosmological research. Part of the World Science Festival's Big Ideas series, this thought-provoking discussion challenges and expands our understanding of the universe's origins and evolution.