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The term Mathematical Consciousness Science began to be used and recognized from around 2018 onward following a rapid increase in the development of new mathematical and/or computational models and formal theories of consciousness that began from around 2005. Many researchers in the MCS community anticipate that mathematical approaches are needed to tackle challenges such as the ''[https://en.wikipedia.org/wiki/Hard_problem_of_consciousness Hard problem of consciousness]'', which is the problem of explaining why and how we have phenomenal experience, and how consciousness relates to the physical domain, particularly regarding the brain and artificial systems and also, more fundamentally, regarding questions involving Quantum Mechanics. Such challenges are at the heart of MCS but any research concerning consciousness, some aspect of consciousness or some issue involving consciousness, where mathematically or computationally formulated models or theories play a central role, fall within the field’s scope.
 
==History of the MCS community’s development==
 
==Mathematical and computational models and theories of consciousness==
 
===Archetypal models===
 
===Computational models===
 
===Other models===
 
===Theories involving Quantum Mechanics===
 
==Model validation==
 
===Model validation under the closure of the physical===
 
===Model validation under the physical being open===
 
==Interplay between MCS and philosophy==
 
===Philosophical implications of models===
 
===Philosophical assumptions in models===
 
==Applications of MCS==

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