Reasoning about conscious experience with axiomatic and graphical mathematics.

Conscious Cogn

Department of Computer Science, University of Oxford, United Kingdom; Cambridge Quantum Computing Ltd., United Kingdom.

Published: October 2021


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Article 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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http://dx.doi.org/10.1016/j.concog.2021.103168DOI Listing

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