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The term ''qualia space'' was introduced by Richard P. Stanley<ref name="Stanley">Richard P. Stanley, ''Qualia Space'', Journal of Cognitive Studies, 1999</ref> to denote the space of all possible conscious experiences. Here, 'all possible' refers loosely to all conscious experiences which could be experienced by any brain.
Restricting attention to [[qualia]], taken by Stanely to denote perceptual consciousness, as well as static experiences alone, Stanely characterizes the mathematical structure of qualia space by referring to his own intuitions on how qualia would tie into the physical domain. For He arrives at the conclusion that qualia space <math>Q</math> is* a closed pointed cone in an infinite-dimensional separable real topological vector space. The following gives an example, he tries to of the type of argument Stanley utilizes: To establish that qualia space as is connected by alluding to some sort of ,Stanely assumes that there is a continuous mapping between qualia space and physical states spacesas well as a unique 'no experience' quale, and imagines argues that there is a ''continuous'' transformation of the physical state underlying every quale to a state with no conscious experience, which . In in light of the continuity of the mapping should give from physical states to qualia, this gives rise to a continuous transformation among between any quale and the corresponding qualiano-experience quale, and hence established that <math>Q</math> is connected. The various assumptions which are required for this argument to work are not discussed in noteworthy detail.
Stanley's definition contrasts with [[experience spaces|experience space]] as introduced in (Kleiner, Tull 2020)<ref>Kleiner and Tull, ''Mathematical Structure of IIT'', 2021</ref> based on their study of the mathematical structure of IIT: One experience space denotes all possible conscious experiences of a single system/organism, while qualia spaces attempt to address all possible experiences right away.

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