Explore the mathematical foundations of consciousness models in this thought-provoking conference talk. Delve into the crucial question of selecting appropriate mathematical structures to describe experience in formal theories. Examine the intricate relationship between mathematical and conceptual bases in consciousness modeling. Review existing approaches and discover a systematic method for addressing this fundamental question, building upon concepts introduced by Thomas Nagel and David Chalmers. Learn how this approach leads to a comprehensive mathematical framework for consciousness models. Gain insights into the space of experience, guiding principles, and the resultant picture of consciousness representation.