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From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations
Faculty of Philosophy, Pontifical Lateran University, Vatican City.
Mälardalen University, School of Innovation, Design and Engineering, Embedded Systems.ORCID iD: 0000-0001-9881-400X
2013 (English)In: Computing Nature: Turing Centenary Perspective, Springer, 2013, p. 241-253Chapter in book (Other academic)
Abstract [en]

In this paper we analyze methodological and philosophical implications of algorithmic aspects of unconventional computation. At first, we describe how the classical algorithmic universe developed and analyze why it became closed in the conventional approach to computation. Then we explain how new models of algorithms turned the classical closed algorithmic universe into the open world of algorithmic constellations, allowing higher flexibility and expressive power, supporting constructivism and creativity in mathematical modeling. As Gödel’s undecidability theorems demonstrate, the closed algorithmic universe restricts essential forms of mathematical cognition. In contrast, the open algorithmic universe, and even more the open world of algorithmic constellations, remove such restrictions and enable new, richer understanding of computation.

Place, publisher, year, edition, pages
Springer, 2013. p. 241-253
Series
Studies in Applied Philosophy, Epistemology and Rational Ethics ; 7
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:mdh:diva-21363DOI: 10.1007/978-3-642-37225-4_16Scopus ID: 2-s2.0-84925355635ISBN: 978-3-642-37224-7 (print)OAI: oai:DiVA.org:mdh-21363DiVA, id: diva2:649083
Projects
PICO - Philosophy of Information and ComputingAvailable from: 2013-09-17 Created: 2013-09-11 Last updated: 2019-01-16Bibliographically approved

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Dodig Crnkovic, Gordana

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