Walking Through Cantor's Paradise and Escher's Garden: Epistemological Reflections on the Mathematical Infinite (II)

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Title: Walking Through Cantor's Paradise and Escher's Garden: Epistemological Reflections on the Mathematical Infinite (II)
Authors: Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Belmonte-Requena, Mónica | Gash, Hugh
Research Group/s: Sistémica, Cibernética y Optimización (SCO)
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Axiomatic formal system | Infinity | Metaphysics | Paradoxes | Set theory | Transfinite regions
Knowledge Area: Matemática Aplicada
Issue Date: 6-Jul-2015
Publisher: Taylor & Francis
Citation: Cybernetics and Systems: An International Journal. 2015, 46(6-7): 438-451. doi:10.1080/01969722.2015.1038474
Abstract: Infinity is not an easy concept. A number of difficulties that people cope with when dealing with problems related to infinity include its abstract nature, understanding infinity as an ongoing, never ending process, understanding infinity as a set of an infinite number of elements and appreciating well-known paradoxes. Infinity can be understood in several ways with often incompatible meanings, and can involve value judgments or assumptions that are neither explicit nor desired. To usher in its definition, we distinguish several aspects, teleological, artistic (Escher); some definitive, some potential, and others actual. This article also deals with some still unresolved aspects of the concept of infinity.
URI: http://hdl.handle.net/10045/51231
ISSN: 0196-9722 (Print) | 1087-6553 (Online)
DOI: 10.1080/01969722.2015.1038474
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Taylor & Francis
Peer Review: si
Publisher version: http://dx.doi.org/10.1080/01969722.2015.1038474
Appears in Collections:INV - SCO - Artículos de Revistas

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