The ‘Miracle’ of Applicability? The Curious Case of the Simple Harmonic Oscillator

Autor:	Sorin Bangu, Robert H. C. Moir
Rok vydání:	2018
Předmět:	Philosophy of science Computer science media_common.quotation_subject 010102 general mathematics General Physics and Astronomy 06 humanities and the arts Simple harmonic motion 0603 philosophy ethics and religion 01 natural sciences Through-the-lens metering Nothing Simple (abstract algebra) Miracle 060302 philosophy Calculus 0101 mathematics media_common
Zdroj:	Foundations of Physics. 48:507-525
ISSN:	1572-9516 0015-9018
DOI:	10.1007/s10701-018-0152-5
Popis:	The paper discusses to what extent the conceptual issues involved in solving the simple harmonic oscillator model fit Wigner’s famous point that the applicability of mathematics borders on the miraculous. We argue that although there is ultimately nothing mysterious here, as is to be expected, a careful demonstration that this is so involves unexpected difficulties. Consequently, through the lens of this simple case we derive some insight into what is responsible for the appearance of mystery in more sophisticated examples of the Wigner problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::968f85827652e777cbb83dc1cb2e86c1 https://doi.org/10.1007/s10701-018-0152-5 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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