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  1. Where Opposites Meet: Mathematics Between Science And Humanities.Ivano Zanzarella - 2019 - Scienza E Filosofia 22:302-321.
    The connection between science and mathematics is often considered necessary and insoluble. Therefore, a relationship between mathematics and humanities or arts is deemed exceptional or sometimes unnatural. Nevertheless, on the basis of historical, ontological and epistemological researches it can be noted that it’s impossible to warrant the immediate identification between mathematics and sciences on a deeper level than the practical one. Given the instrumentality and then the unnecessity of this connection, the relationship between mathematics and not-scientific disciplines is undeniable, even (...)
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  2. The Concept of Entropy in Statistical Mechanics and Stochastic Music Theory.Ivano Zanzarella - manuscript
    Originally appeared in the field of thermodynamics, the concept of entropy, especially in its statistical acceptation, has found applications in many different disciplines, both inside and outside science. In this work we focus on the possibility of drawing an isomorphism between the entropy of Boltzmann’s statistical mechanics and that of Xenakis’s stochastic music theory. We expose the major technical aspects of the two entropies and then consider affinities and differences between them, both at syntactic and at semantic level, hereto particularly (...)
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  3. The Problem of Musical Creativity and its Relevance for Ethical and Legal Decisions towards Musical AI.Ivano Zanzarella - manuscript
    Because of its non-representational nature, music has always had familiarity with computational and algorithmic methodologies for automatic composition and performance. Today, AI and computer technology are transforming systems of automatic music production from passive means within musical creative processes into ever more autonomous active collaborators of human musicians. This raises a large number of interrelated questions both about the theoretical problems of artificial musical creativity and about its ethical consequences. Considering two of the most urgent ethical problems of Musical AI (...)
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  4. Leibnizian and Nonstandard Analysis: Philosophical Problematization of an Alleged Continuity.Ivano Zanzarella - manuscript
    In the present paper the philosophical and mathematical continuity alleged by A. Robinson in Nonstandard Analysis (1966) between his theory and Leibniz’s calculus is investigated. In Section 1, after a brief overview of the history of analysis, we expose the historical, mathematical and philosophical aspects of Leibniz’s calculus. In Section 2 the main technical aspects of nonstandard analysis are presented, and Robinson’s philosophy is discussed. In Section 2.1 we claim the absence of a complete and direct continuity and the only (...)
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  5. The Growth of Modern Acoustics.Ivano Zanzarella - manuscript
    This essay aims to inquiry into the main factors responsible for the growth of modern acoustics, which basically have to be traced back to the empirical turn occurred in science of music around 1600. Helmholtz’s theory of sound will be regarded as most scientifically significant archetype of modern acoustics. In Section 1 a general historical overview of the science of music will be given and its importance for the development of modern science and mathematics considered. In Section 2 the internal (...)
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  6. The Value of Revolutionary Science.Ivano Zanzarella - manuscript
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  7. Scientific and Aesthetic Understanding: The Case of Musical Exemplification.Ivano Zanzarella - 2021 - Dissertation, Ruhr-Universität Bochum
    Abstract The Greek composer and architect Iannis Xenakis has shown in Formalized Music (1963) how it is possible to compose or describe music and sound by means of probabilistic laws from mathematics, information theory and statistical mechanics. In his theory, scientific concepts and properties such as entropy take on a musical meaning in that they become also properties structurally instantiable by music. Philosophically speaking, this raises many important questions about the relation between science and the arts. One of these questions (...)
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