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  1.  39
    What is a mathematical structure of conscious experience?Johannes Kleiner & Tim Ludwig - 2024 - Synthese 203 (3):1-23.
    Several promising approaches have been developed to represent conscious experience in terms of mathematical spaces and structures. What is missing, however, is an explicit definition of what a ‘mathematical structure of conscious experience’ is. Here, we propose such a definition. This definition provides a link between the abstract formal entities of mathematics and the concreta of conscious experience; it complements recent approaches that study quality spaces, qualia spaces, or phenomenal spaces; and it provides a general method to identify and investigate (...)
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    Towards a structural turn in consciousness science.Johannes Kleiner - 2024 - Consciousness and Cognition 119 (C):103653.
  3. The Newman Problem of Consciousness Science.Johannes Kleiner - manuscript
    The Newman problem is a fundamental problem that threatens to undermine structural assumptions and structural theories throughout philosophy and science. Here, we consider the problem in the context of consciousness science. We introduce and discuss the problem, and explain why it is detrimental not only to structuralist assumptions, but also to theories of consciousness, if left unconsidered. However, we show that if phenomenal spaces, and mathematical structures of conscious experience more generally, are understood in the right way, the Newman problem (...)
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    The Mathematical Structure of Integrated Information Theory.Johannes Kleiner & Sean Tull - 2020 - Frontiers in Applied Mathematics and Statistics 6.
    Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a physical system, such as the brain, in a particular state. In this contribution, we propound the mathematical structure of the theory, separating the essentials from auxiliary formal tools. We provide a definition of a generalized IIT which has IIT 3.0 of Tononi et al., as well as the Quantum IIT introduced by Zanardi et al. (...)
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    Brain states matter. A reply to the unfolding argument.Johannes Kleiner - 2020 - Consciousness and Cognition 85:102981.