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==Mathematizing phenomenology==
The phenomenology of experience is perhaps the biggest explanandum for a science of consciousness. One approach to its study concerns the structure of conscious experience. The way this is made precise is very much related to the idea of representing the consciousness domain in terms of a mathematical space such as, for example, a state spaces of a dynamical neural system<ref name=Yoshimi2007> Yoshimi, J. (2007), Mathematizing phenomenology. Phenomenology and the Cognitive Sciences, 6(3), 271–291. https://doi.org/10.1007/s11097-007-9052-4</ref>, or topological spaces based on particular assumptions about experience<ref name=Stanley1999> Stanley, R. P. (1999), Qualia-Space. Journal of Consciousness Studies, 6(1), 49-60.</ref><ref name=Prentner2019> Prentner, R. (2019), Consciousness and Topologically Structured Phenomenal Spaces. Consciousness and Cognition, 70, 25-38.</ref>. Related proposals along these lines have to do with neurophenomenology<ref name=Varela1996> Varela, F. J. (1996), Neurophenomenology: a methodological remedy for the hard problem. Journal of Consciousness Studies, 3, 330–49.</ref>, mathematical representations of qualia-spaces, or category and process theories of consciousness<ref name=Tsuchiya2021> Tsuchiya, N.; Saigo, H. (2021), A relational approach to consciousness: categories of level and contents of consciousness. Neuroscience of Consciousness, 7(2), niab034.</ref><ref name=SignorelliWangCoecke2021> Signorelli, C. M.; Wang, Q.; Coecke, B. (2021), Reasoning about Conscious Experience with Axiomatic and Graphical ModelsMathematics. Consciousness and Cognition, 95:103168.</ref>.
Such representations could serve as precise statements (or models) of target phenomena for use in archetypal models of consciousness to help establish the relationship between states of neurocomputational systems and states of consciousness. More speculatively, phenomenal experiences could be seen not only as descriptive but as co-emergent with<ref name=Thompson2007> Thompson, E. (2007), Mind in Life. Cambridge, Massachusetts: Harvard University Press.</ref>, or constitutive of<ref name=Fields2018> Fields, C.; Hoffman, D. D.; Prakash, C.; Singh M. (2018), Conscious Agent Networks: Formal Analysis and Application to Cognition. Cognitive Systems Research, 47, 186-213.</ref>, the neuroscientific phenomena that supposedly explain them.

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