Autonomous systems rely upon intelligence to enable them to function without the need for human intervention. In many cases, these systems must adapt to properly react to numerous scenarios. This adaptivity could be a simple action such as activating an additional server, or could be incredibly complex in creating a completely new adaptation strategy. In the following work, we address the question “Is Adaptability a Core Property of Intelligent Systems?” We determine that due to the ambiguity of the term “intelligent system” and the wide range of such systems, that there is no clear and definitive answer to this question. This paper details the deliberation of three AI/Self-Adaptive researchers in addressing this question. We use several scenarios of intelligent systems ranging from a simple motion detector to a complex “humanoid” futuristic artificial system to demonstrate the complexity of this question.