The World Is Not a Theorem

The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics. Affordances play a fundamental role in the evolution of the biosphere,...

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Autores principales:	Stuart Kauffman, Andrea Roli
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	diachronic evolution of the biosphere affordance set theory incompleteness Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/9eb24236318e46918d8da3b769f2e529
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id	oai:doaj.org-article:9eb24236318e46918d8da3b769f2e529
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spelling	oai:doaj.org-article:9eb24236318e46918d8da3b769f2e5292021-11-25T17:29:53ZThe World Is Not a Theorem10.3390/e231114671099-4300https://doaj.org/article/9eb24236318e46918d8da3b769f2e5292021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1467https://doaj.org/toc/1099-4300The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics. Affordances play a fundamental role in the evolution of the biosphere, for organisms can exploit them for new morphological and behavioral adaptations achieved by heritable variations and selection. This way, the opportunities offered by affordances are then actualized as ever novel adaptations. In this paper, we maintain that affordances elude a formalization that relies on set theory: we argue that it is not possible to apply set theory to affordances; therefore, we cannot devise a set-based mathematical theory to deduce the diachronic evolution of the biosphere.Stuart KauffmanAndrea RoliMDPI AGarticlediachronic evolution of the biosphereaffordanceset theoryincompletenessScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1467, p 1467 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	diachronic evolution of the biosphere affordance set theory incompleteness Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	diachronic evolution of the biosphere affordance set theory incompleteness Science Q Astrophysics QB460-466 Physics QC1-999 Stuart Kauffman Andrea Roli The World Is Not a Theorem
description	The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics. Affordances play a fundamental role in the evolution of the biosphere, for organisms can exploit them for new morphological and behavioral adaptations achieved by heritable variations and selection. This way, the opportunities offered by affordances are then actualized as ever novel adaptations. In this paper, we maintain that affordances elude a formalization that relies on set theory: we argue that it is not possible to apply set theory to affordances; therefore, we cannot devise a set-based mathematical theory to deduce the diachronic evolution of the biosphere.
format	article
author	Stuart Kauffman Andrea Roli
author_facet	Stuart Kauffman Andrea Roli
author_sort	Stuart Kauffman
title	The World Is Not a Theorem
title_short	The World Is Not a Theorem
title_full	The World Is Not a Theorem
title_fullStr	The World Is Not a Theorem
title_full_unstemmed	The World Is Not a Theorem
title_sort	world is not a theorem
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9eb24236318e46918d8da3b769f2e529
work_keys_str_mv	AT stuartkauffman theworldisnotatheorem AT andrearoli theworldisnotatheorem AT stuartkauffman worldisnotatheorem AT andrearoli worldisnotatheorem
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The World Is Not a Theorem

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