Téléchargez le livre : Applying Mathematics

Applying Mathematics

Immersion, Inference, Interpretation de

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OUP Oxford


Paru le : 2018-05-30

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Description
How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.
Pages
288 pages
Collection
n.c
Parution
2018-05-30
Marque
OUP Oxford
EAN papier
9780192558978
EAN EPUB
9780192558978
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
0
Taille du fichier
1004 Ko
Prix
34,66 €

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