Qualia Space
Qualia spaces are mathematical representations of qualia. Since there are many different conceptualizations of the term qualia, various different notions of qualia space have been introduced, which differ both in meaning and in mathematical form.
Stanley's definition
The term qualia space was introduced by Richard P. Stanley[1] 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 example, he tries to establish qualia space as connected by alluding to some sort of continuous mapping between qualia space and physical states spaces, and imagines that there is a continuous transformation of the physical state underlying every quale to a state with no conscious experience, which in light of the mapping should give rise to a continuous transformation among the corresponding qualia.
Stanley's definition contrasts with experience space as introduced in (Kleiner, Tull 2020)[2] 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.
Clark's quality spaces
In order to avoid use of the loaded term 'qualia', Austen Clark refers to his constructions as 'quality space'. Cf. the entry quality spaces.
Other definitions
If qualia refer to properties/parts/elements of conscious experience, qualia spaces can be though of as special cases or simplifications of experience spaces.
