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张德祥 (2022-06-08 21:18):
#paper DOI https://doi.org/10.31219/osf.io/68nhy 意识很难定义,那如何研究意识,通过范畴论中的yoneda lemma,我们可以通过研究一个对象的关系来研究这个对象,这个方法对研究意识非常有帮助。这一创新的数学范畴应用到意识的研究思路希望可以推进意识的研究。
Abstract:
Characterizing consciousness in and of itself is notoriously difficult. Any effort to define consciousness seems to evade what it tries to achieve. In particular, definitions often involve comparisons of different … >>>
Characterizing consciousness in and of itself is notoriously difficult. Any effort to define consciousness seems to evade what it tries to achieve. In particular, definitions often involve comparisons of different kinds of “consciousness” in a self-referential manner. The tautological nature of characterizing consciousness has led some scholars to propose that establishing a science of consciousness is infeasible. Here, we propose an alternative approach to characterize, and to eventually define, consciousness through exhaustive descriptions of consciousness’ relationships to all other consciousness. This approach is mathematically founded in category theory. Indeed, category theory can prove two objects A and B in a category can be equivalent if and only if all the relationships that A holds with others in the category are the same as those of B; this proof is called the Yoneda lemma. To introduce the Yoneda lemma, we gradually introduce key concepts of category theory to consciousness researchers in this paper. Along the way, we propose several possible definitions of categories of consciousness, both in terms of level and contents, through the usage of simple examples. We also propose empirical research programs that can test the validity of our proposed categories of consciousness and to improve them. We propose to use the categorical structure of consciousness as a gold standard if one tries to empirically test some structural theories of consciousness, such as Integrated Information Theory of consciousness. <<<
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