UDTR — Radar mondial des droits de la Nature

Titre non renseigné — métadonnées à compléter

Identification

Clé publique

radar:r-730338d202ff3fd584f09b161d38779c

Auteurs

Torretti

Année déclarée

—

Langue déclarée

und

Type source

Other ORP type

Première détection

2026-11-09T19:10:34.546347+00:00

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2026-11-09T19:10:34.546347+00:00

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Résumé documentaire — langue originale

Two forms of perceived necessity in mathematical physics are distinguished: ``present necessity'' or necessity of configurations, and ``future necessity'' or necessity of processes. We will perceive the former if we try to tile a floor with regular pentagons of the same size, realizing that this is impossible. An example for the latter can be perceived by watching a match catching a piece of paper and turning it to ashes. A configurational necessity is understood if its conditions are overseeable and if the necessity of a feature perceived is grasped ``as a necessary consequence of the characteristics by which that configuration is conceived'' (p. 134). The understanding of the necessity of processes results from analogies to geometric necessity: ``the conception of time -- past, present, and future -- as a single, homogeneous linear continuum'' (p. 135). The author discusses ancient Greek mappings of time into space, compares them with procedures in Newtonian physics, and maintains that such mathematical representations of natural processes can even answer Kant's philosophical question ``How shall I understand that because something exists something else should exist as well'' (pp. 137-138). The author ends with considerations on reasons for the missing certainty for forecasts, the relation between forecast and understanding, and the ``perhaps most significant feature of the mathematical representation of nature, [\dots] that the exact concepts of mathematics must be blurred in order to fit our observations'' (p. 139), referring to \textit{G. Ludwing}'s theory of such blurrings [Deutung des Begriffs ``physikalische Theorie'' und axiomatische Grundlegung der Hilbertraumstruktur der Quantenmechanik durch Hauptsätze des Messens (Lecture Notes on Physics, 4; Springer, Heidelberg) (1970; Zbl 0204.29402)]. For the entire collection see [Zbl 0839.00019].

Identifiants

OPENAIRE

c2b0b933574d::a3442c4221bf262f81fad5f438e473ee

Repères documentaires

Famille documentaire

Autre

Types déclarés par les sources

Other ORP type

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Sources

OpenAIRE

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