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The Topos of Music: Geometric Logic of Concepts, Theory and Performance

Birkhauser Verlag. Edited by Stefan Göller & Stefan Müller (2002)

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  1. Logic in reality.Joseph E. Brenner - 2008 - Dordrecht: Springer.
    The work is the presentation of a logical theory - Logic in Reality (LIR) - and of applications of that theory in natural science and philosophy, including ...
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  • (1 other version)A biosemiotic and ecological approach to music cognition: Event perception between auditory listening and cognitive economy.Mark Reybrouck - 2005 - Axiomathes 15 (2):229-266.
    This paper addresses the question whether we can conceive of music cognition in ecosemiotic terms. It claims that music knowledge must be generated as a tool for adaptation to the sonic world and calls forth a shift from a structural description of music as an artifact to a process-like approach to dealing with music. As listeners, we are observers who construct and organize our knowledge and bring with us our observational tools. What matters is not merely the sonic world in (...)
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  • Possibility spaces and the notion of novelty: from music to biology.Maël Montévil - 2019 - Synthese 196 (11):4555-4581.
    We provide a new perspective on the relation between the space of description of an object and the appearance of novelties. One of the aims of this perspective is to facilitate the interaction between mathematics and historical sciences. The definition of novelties is paradoxical: if one can define in advance the possibles, then they are not genuinely new. By analyzing the situation in set theory, we show that defining generic (i.e., shared) and specific (i.e., individual) properties of elements of a (...)
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  • Quantum cognition and bounded rationality.Reinhard Blutner & Peter Beim Graben - 2016 - Synthese 193 (10).
    We consider several puzzles of bounded rationality. These include the Allais- and Ellsberg paradox, the disjunction effect, and related puzzles. We argue that the present account of quantum cognition—taking quantum probabilities rather than classical probabilities—can give a more systematic description of these puzzles than the alternate treatments in the traditional frameworks of bounded rationality. Unfortunately, the quantum probabilistic treatment does not always provide a deeper understanding and a true explanation of these puzzles. One reason is that quantum approaches introduce additional (...)
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  • (1 other version)A Biosemiotic and Ecological Approach to Music Cognition: Event Perception Between Auditory Listening and Cognitive Economy. [REVIEW]Mark Reybrouck - 2005 - Axiomathes. An International Journal in Ontology and Cognitive Systems. 15 (2):229-266.
    This paper addresses the question whether we can conceive of music cognition in ecosemiotic terms. It claims that music knowledge must be generated as a tool for adaptation to the sonic world and calls forth a shift from a structural description of music as an artifact to a process-like approach to dealing with music. As listeners, we are observers who construct and organize our knowledge and bring with us our observational tools. What matters is not merely the sonic world in (...)
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