Topological Psychology and Mathematical Phenomenology of Mind States in Physical and Phenomenal Continuum
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper |
|---|---|
| Topics | Philosophy of mind |
| Key points | Argues that phenomenological and psychological states of cognitive conditions can be mathematically abstracted as topological approximations representing complex ideational and phenomenal spaces, conforming to models of conscious entities and agent dynamics at Planckian or near-Planckian orders, giving rise to mind-matter interphases and physical-phenomenological continuum states. |
Abstract
The computational mind approach was conforming to neural models of material mind based on theories like Neural Correlates of Consciousness. Thinkers like Chalmers posed the Hard Problem of consciousness arguing on the theme of an extended mind going beyond the brain. Gödel incompleteness theorem, called into question the power of mathematics to explain all of reality — along with the hypothesis that the mind works like a formal system, or a mathematical machine. Gödel’s incompleteness theorem made Penrose to remark that mind is no algorithmic machine. .To Hofstadter, the mystery of subjectivity can only be explained with the concept of self-reference. The idea that consciousness emerges from self-modeling is supported by thinkers like Judea Pearl, whose causal calculus forms the backbone of one of today’s most respected consciousness theories, integrated information theory. Integrated Information Theory of Tononi and Koch is also inspired by ancient mystic ideas of panpsychism or universal mind ,as well as concepts in more recent times like complexity,modularity ,hierarchical structures and interactive dynamics. This can be approximately abstracted by mathematical topology to suggest complex entities of an imaginary nature in a mind space of an ideational nature, with its possible material interphases with physicalism in microdomain nature of Planckian order quantum gravity medium. The study of the similarities and differences between polynomial-time algorithms and the functioning of the mind is a concrete matter,and not merely philosophical. Topology in the mathematical sense has been used by cognitive scientists in work on the mathematical properties of connectionist networks. Using algebraic topology to study the way neurons group together to form geometrical shapes, revealed a universe of complex multi-dimensional geometric structures. The topological background of Husserl's work makes itself felt already in his theory of dependence. It comes to the fore above all however in his treatment of the notion of phenomenal fusion. Thus phenomenal space is compositional with respect to quasi-elements. We may assume that conscious experience is structured along multiple interdependent layers. The local-global interdependency of experience is mirrored in the mereological and topological structure of phenomenal space. Analogously,perhaps Hoffman and Chetan Prakash pursued the mathematical theories of agent dynamics. The paper discusses how mind matter interphases in phenomenological and psychological states of cognitive conditions are being mathematically abstracted as topological approximations that represent complex ideation or imaginal and phenomenological spaces, rather corresponding to or conforming to models of conscious entities and agent dynamics at Planckian or near Planckian orders ,giving rise to mind and matter interphases and physical phenomenological continuum states.
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