<ul data-eligibleForWebStory="true">Intelligence involves achieving harmony with the environment, while consciousness remains more complex to define.Consciousness comprises two stages: creating a virtual world using intelligence and transcending the constraints of a formal system.Formal systems rely on abstractions like numbers but face limitations, as seen in Gödel's incompleteness theorem.The paradox within formal systems, exemplified by the statement R, reveals incompleteness and inconsistency in proving statements within the system.Recognition of paradoxes suggests consciousness, as understanding them requires transcending the system's rules.Intelligence may be measured and studied scientifically, akin to physics, due to its defined mechanisms.Awareness, the second stage of consciousness, is not easily measurable but is a fundamental aspect of consciousness.