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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. Much like the case for [[quality spaces]] and [[experience spaces]], the empirical driving force behind their definition is that colloquial descriptions of conscious experience might not suffice to precisely define the experience. Spoken language is neither intended nor suitable to describe all details of phenomenal experience.
 
= Stanley's definition =
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. He arrives at 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 conclusion that mapping should give rise to a continuous transformation among the corresponding qualia . Stanley's definition contrasts with [[experience spaces|experience space ]] as introduced in (Kleiner, Tull 2020)<mathref>QKleiner and Tull, ''Mathematical Structure of IIT'', 2021</mathref> is* based on their study of the mathematical structure of IIT: One experience space denotes all possible conscious experiences of a closed pointed cone in an infinite-dimensional separable real topological vector spacesingle system/organism, while qualia spaces attempt to address all possible experiences right away= Clark's quality spaces =
The following gives an example In order to avoid use of the type of argument Stanley utilizes: To establish that loaded term 'qualia space is connected',Stanely assumes that there is a continuous mapping between qualia space and physical states spaces as well Austen Clark refers to his constructions as a unique 'no experiencequality space' quale, and argues that there is a ''continuous'' transformation of the physical state underlying every quale to a state with no conscious experience. In in light of Cf. the continuity of the mapping from physical states to qualia, this gives rise to a continuous transformation between any quale and the no-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 detailentry [[quality spaces]].
Stanley's definition contrasts with = Other definitions = If qualia refer to properties/parts/elements of [[conscious experience spaces|experience space]] as introduced in (Kleiner, Tull 2020)<ref>Kleiner and Tull, ''Mathematical Structure qualia spaces can be though of IIT'', 2021</ref> based on their study as special cases or simplifications 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]]= References =

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