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  1. Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience.Shanna Dobson & Robert Prentner - manuscript
    In this paper, we propose a mathematical model of subjective experience in terms of classes of hierarchical geometries of representations (“n-awareness”). We first outline a general framework by recalling concepts from higher category theory, homotopy theory, and the theory of (infinity,1)-topoi. We then state three conjectures that enrich this framework. We first propose that the (infinity,1)-category of a geometric structure known as perfectoid diamond is an (infinity,1)-topos. In order to construct a topology on the (infinity,1)-category of diamonds we then propose (...)
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  2. Pluralist-Monism. Derived Category Theory as the Grammar of n-Awareness.Shanna Dobson & Robert Prentner - manuscript
    In this paper, we develop a mathematical model of awareness based on the idea of plurality. Instead of positing a singular principle, telos, or essence as noumenon, we model it as plurality accessible through multiple forms of awareness (“n-awareness”). In contrast to many other approaches, our model is committed to pluralist thinking. The noumenon is plural, and reality is neither reducible nor irreducible. Nothing dies out in meaning making. We begin by mathematizing the concept of awareness by appealing to the (...)
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  3. Dr Goff, Tear Down This Wall! The Interface Theory of Perception and the Science of Consciousnessiousness.Robert Prentner - 2021 - Journal of Consciousness Studies 28 (9-10):91-103.
    In his book “Galileo’s Error”, Philip Goff lays out what he calls “foundations for a new science of consciousness”, which are decidedly anti-physicalist (panpsychist), motivated by a critique of Galileo’s distinction into knowable objective and unknowable subjective properties and Arthur Eddington’s argument for the limitation of purely structural (physical) knowledge. Here we outline an alternative theory, premised on the Interface Theory of Perception, that too subscribes to a “post-Galilean” research programme. However, interface theorists disagree along several lines. 1. They note (...)
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  4. Artistic Mediation in Mathematized Phenomenology.Robert Prentner & Shanna Dobson - manuscript
    Mathematics has a long track record of refining the concepts by which we make sense of the world. For example, mathematics allows one to speak about different senses of "sameness", depending on the larger context. Phenomenology is the name of a philosophical discipline that tries to systematically investigate the first-personal perspective on reality and how it is constituted. Together, mathematics and phenomenology seem to be a good fit to derive statements about our experience that are, at the same time, well-defined, (...)
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  5. Bewusstsein und Beziehung.Robert Prentner - manuscript
    Bewusstsein äußert sich als System von Beziehungen. Unsere Welt entspricht einem Netzwerk von Akteuren und deren Verhältnissen. Gleichzeitig können wir Bewusstsein in unserer Wahrnehmung als Verweis auf eine Ganzheit erfahren – etwas, das wir in diesem Buch als Herausbildung eines Zeichens auffassen wollen. Die Aufgabe der Wissenschaften wird dann darin bestehen, dieses doppelte Erscheinen (einmal objektiv als System von Beziehungen, einmal subjektiv als Zeichen) zueinander in Relation zu setzen.
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