Abstract Chemistry and biology constitute Vast and/or infinite design spaces which can be used by scientists and engineers to generate new and ever more complex chemical molecules and other structures having new emergent properties. A Vanishingly small proportion of those new molecules can generate even more complexity and new emergent properties by interacting with other molecules, bio-molecules, or complex collections of biomolecules. Large degrees of unpredictability reign throughout that Vastness, as well as in the Environment, and human society and behavior. Yet Life, the Earth’s ecosystem, consciousness, and civilized human societies evolved from simpler systems, despite the Vastness and unpredictability. Green Chemistry and Engineering emerged over the last few decades from an evolutionary search for new processes and products for the benefit of humans and the planet that are both economically viable and do less harm to the Environment. The author, who originally conceived, in 1984, the BHC Ibuprofen Process that won one of the very first Presidential Green Chemistry Awards, was inspired and guided in significant part by the “Quality” philosophy, teachings and methods of W. Edwards Deming. Deming’s Quality philosophy and methods adapt the empirical/reductionist perspectives and approaches of the Scientific Method, to readily integrate holistic, human, and ethical goals, ideas, and perspectives, in order to identify and solve Real-World problems. Deming’s methods include his “PDCA” circles, which, when continuously iterated, can guide scientists, engineers, and their interdisciplinary team-mates as to what to do toward the development and evolution of Real-World processes and products that create little waste, and therefore are both economically and ecologically beneficial, via a process of human guided and human accelerated evolution.