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Reasoning about conscious experience with axiomatic and graphical mathematics
Camilo Miguel Signorelli1, Quanlong Wang2, Bob Coecke2
1Department of Computer Science, University of Oxford, United Kingdom; Cognitive Neuroimaging Unit, INSERM U992, NeuroSpin, France; Center for Brain and Cognition, Universitat Pompeu Fabra, Spain.
Abstract:
We cast aspects of consciousness in axiomatic mathematical terms, using the graphical calculus of general process theories (a.k.a symmetric monoidal categories and Frobenius algebras therein). This calculus exploits the ontological neutrality of process theories. A toy example using the axiomatic calculus is given to show the power of this approach, recovering other aspects of conscious experience, such as external and internal subjective distinction, privacy or unreadability of personal subjective experience, and phenomenal unity, one of the main issues for scientific studies of consciousness. In fact, these features naturally arise from the compositional nature of axiomatic calculus.
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