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Johannes Kleiner moved page Qualia space to Qualia Space without leaving a redirect
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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. For example, he tries to establish qualia space as connected by alluding to some sort of continuous mapping between He arrives at the conclusion that qualia space and physical states spaces, and imagines that there <math>Q</math> is a ''continuous'' transformation of the physical state underlying every quale to a state with no conscious experience, which closed pointed cone in light of the mapping should give rise to a continuous transformation among the corresponding qualiaan infinite-dimensional separable real topological vector space.''
The following gives an example of the type of argument Stanley's definition contrasts with [[experiences utilizes: To establish that qualia space is connected,Stanely assumes that there is a continuous mapping between qualia space]] and physical states spaces as introduced in <ref>Kleiner well as a unique 'no experience' quale, and Tull, argues that there is a ''Mathematical Structure of IITcontinuous'', 2021</ref> based on their study transformation of the mathematical structure physical state underlying every quale to a state with no conscious experience. In in light of IIT: One experience space denotes all possible conscious experiences the continuity of the mapping from physical states to qualia, this gives rise to a single systemcontinuous transformation between any quale and the no-experience quale, and hence established that <math>Q</organism, while qualia spaces attempt math> is connected. The various assumptions which are required for this argument to address all possible experiences right awaywork 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.
= 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 =
