1) The document discusses various concepts related to self-sustainability including linear stability, structural stability, homeostasis, homeochaos, Gaia hypothesis, embodied daisy world, mind time machine, automatic computing engine, edge of chaos, epsilon machine, and examples of adaptability and homeostasis in cellular automata. 2) Key figures and ideas discussed include W. Ross Ashby and his work on ultrastability and homeostasis, K. Kaneko and T. Ikegami's work on homeochaos, Jame Lovelock's Gaia Hypothesis, Ikegami and Suzuki's work on embodied daisy world and from homeostatic to homeodynamic self,