Reasoning about conscious experience with axiomatic and graphical mathematics.
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In this paper, the authors 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).About:
This article is published in Consciousness and Cognition.The article was published on 2021-10-01 and is currently open access. It has received 5 citations till now. The article focuses on the topics: Axiom.read more
Citations
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Explanatory profiles of models of consciousness: towards a systematic classification
Camilo Miguel Signorelli,Camilo Miguel Signorelli,Camilo Miguel Signorelli,Joanna Szczotka,Joanna Szczotka,Robert Prentner,Robert Prentner +6 more
TL;DR: It is argued that different models explicitly or implicitly subscribe to different notions of what constitutes a satisfactory explanation, use different tools in their explanatory endeavours, and even aim to explain very different phenomena.
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A Compositional Model of Consciousness based on Consciousness-Only
TL;DR: This work sets up a framework which naturally subsumes one of the main features of consciousness that is characterized as being other-dependent by defining a compact closed category where morphisms represent conscious processes.
Journal ArticleDOI
A Compositional Model of Consciousness Based on Consciousness-Only.
TL;DR: In this paper, a compositional model of consciousness is proposed, where morphisms represent conscious processes and each morphism is a composition of a set of generators, each being specified by their relations with other generators, and therefore co-dependent.
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An adjunction hypothesis between qualia and reports
TL;DR: In this paper , the authors introduce the concept of adjunction from the category theory in mathematics, which allows to clarify the conceptual issues with a precise mathematical formulation and establishes coherence between two categories that cannot be considered equivalent, yet has an important relationship.
Journal ArticleDOI
From brain-body function to conscious interactions
TL;DR: In this paper , a formal mathematical multilayer model for the biological neuroscience of conscious experience is proposed, which is based on a formal semantic to study biological systems, and an integrative account for several signatures and models of consciousness.
References
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Journal ArticleDOI
Consciousness and topologically structured phenomenal spaces.
TL;DR: This contribution wishes to demonstrate how features of experience that pertain to the unity of consciousness could be made precise in terms of mathematical relations that hold between phenomenal objects.
Journal ArticleDOI
Explanatory profiles of models of consciousness: towards a systematic classification
Camilo Miguel Signorelli,Camilo Miguel Signorelli,Camilo Miguel Signorelli,Joanna Szczotka,Joanna Szczotka,Robert Prentner,Robert Prentner +6 more
TL;DR: It is argued that different models explicitly or implicitly subscribe to different notions of what constitutes a satisfactory explanation, use different tools in their explanatory endeavours, and even aim to explain very different phenomena.
Journal ArticleDOI
Special Issue: Consciousness science and its theories Time consciousness: the missing link in theories of consciousness.
Lachlan Kent,Marc Wittmann +1 more
TL;DR: In this paper, a brief review finds that many dominant theories of consciousness only refer to brief, static, and discrete "functional moments" of time and very few refer to more extended, dynamic, and continuous time, which is associated with conscious experience.
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An alternative Gospel of structure: order, composition, processes
TL;DR: Some basic mathematical structures, which arguably are more primitive than the structures taught at school, are surveyed and their current and potentially future uses in linguistics, physics and knowledge representation are introduced.