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'''Mathematical Consciousness Science''' (MCS) is an interdisciplinary field in the intersection between the scientific study of consciousness and applied mathematics. Many mathematicians have taken an interest in consciousness over the centuries including [https://en.wikipedia.org/wiki/Ren%C3%A9_Descartes René Descartes], [https://en.wikipedia.org/wiki/Gottfried_Wilhelm_Leibniz Gottfried Wilhelm Leibniz], [https://en.wikipedia.org/wiki/Bernard_Bolzano Bernard Bolzano], [https://en.wikipedia.org/wiki/Edmund_Husserl Edmund Husserl], [https://en.wikipedia.org/wiki/Alfred_North_Whitehead Alfred North Whitehead], [https://en.wikipedia.org/wiki/Bertrand_Russell Bertrand Russell], [https://en.wikipedia.org/wiki/Alan_Turing Alan Turing] and [https://en.wikipedia.org/wiki/Roger_Penrose Roger Penrose], to name a few, whilst others have developed areas of mathematics that are finding new applications in MCS including [https://en.wikipedia.org/wiki/Thomas_Bayes Thomas Bayes], [https://en.wikipedia.org/wiki/Ludwig_Boltzmann Ludwig Boltzmann], [https://en.wikipedia.org/wiki/Andrey_Markov Andrey Markov] and [https://en.wikipedia.org/wiki/Claude_Shannon Claude Shannon].
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 research 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; explaining how consciousness relates to the physical domain, particularly regarding the brain and artificial systems; and, fundamentally, the many questions involving consciousness and the foundations of physics; , particularly 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, rather than just being a tool, fall within the field’s scope. MCS also exists to complement the work of researchers working in the wider field of the scientific study of consciousness which intersects with Neuroscience, Philosophy and Experimental Psychology, for example.
==History of the MCS research community’s development==

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