This chapter introduces the book Inventing the Almost Impossible, which combines various case studies, examples, and lessons for creating, teaching, funding, and leading radical innovation. The book’s broader aim is to establish a scholarly foundation for the study of invention, which is a fundamental human capacity that has shaped society since prehistoric times, yet it has not been given the full attention it deserves. We have invited a spectrum of authors from academia, industry, and other areas of work to consider an angle for inventing almost impossible ideas, which are just within the realm of possibility and have the potential to produce radical innovation. Overall, this collection seeks to raise questions that explore the multifaceted aspects of invention more deeply and establish invention as a complementary element of technological creation, research into development, and new product development.