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) |
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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 - SYC - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2015_Nescolarde_etal_Cybernetics&Systems_rev.pdf | Versión revisada (acceso abierto) | 1,21 MB | Adobe PDF | Open Preview |
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