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...
We cast aspects of consciousness in axiomatic mathematical terms, using the\ngraphical calculus of general process theories (a.k.a symmetric monoidal\ncategories and Frobenius algebras therein). This calculus exploits the\nontological neutrality of process theories. A toy example using the axiomatic\ncalculus is given to show the power of this approach, recovering other aspects\nof conscious...
Scientific studies of consciousness rely on objects whose existence is assumed to be independent of any consciousness. On the contrary, we assume consciousness to be fundamental, and that one of the main features of consciousness is characterized as being other-dependent. We set up a framework which naturally subsumes this feature by defining a compact closed category where morphisms represent...