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

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Title: Walking Through Cantor's Paradise and Escher's Garden: Epistemological Reflections on the Mathematical Infinite (I)
Authors: Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Belmonte-Requena, Mónica | Gash, Hugh
Research Group/s: Sistémica, Cibernética y Optimización (SCO) | Acústica Aplicada
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): 423-437. doi:10.1080/01969722.2015.1038473
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 of infinity as a never-ending process, understanding infinity as a set of an infinite number of elements, and understanding some well-known paradoxes. Infinity can be understood in a number of ways, some of which are incompatible, and can involve value judgments or assumptions that are neither explicit nor desired. In its definition, we distinguish several aspects, teleological, artistic (Escher 2000 Escher, M. C. Estampas y dibujos. Colonia: Ed. Taschen, 2000. (In Spanish).), some essential, some potential, and others actual. Cantor's work on set theory is linked to infinity and has implications for belief in God.
URI: http://hdl.handle.net/10045/58166
ISSN: 0196-9722 (Print) | 1087-6553 (Online)
DOI: 10.1080/01969722.2015.1038473
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Taylor & Francis
Peer Review: si
Publisher version: http://dx.doi.org/10.1080/01969722.2015.1038473
Appears in Collections:INV - Acústica Aplicada - Artículos de Revistas
INV - SCO - Artículos de Revistas

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