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Applying mathematics : immersion, inference, interpretation

Author: Otávio Bueno; Steven French
Publisher: Oxford, United Kingdom : Oxford University Press, 2018. ©2018
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? Bueno and French offer a new approach to the puzzle of the applicability of mathematics, through a detailed examination of a series of case studies from the history of twentieth-century physics.
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Document Type: Book
All Authors / Contributors: Otávio Bueno; Steven French
ISBN: 0198815042 9780198815044
OCLC Number: 1013944141
Description: xvi, 257 pages : illustrations ; 25 cm
Contents: Just how unreasonable is the effectiveness of mathematics? --
Approaching models: formal and informal --
Scientific representation and the application of mathematics --
Applying new mathematics: group theory and quantum mechanics --
Representing physical phenomena: top-down and bottom-up --
Unifying with mathematics: logic, probability, and quantum states --
Applying problematic mathematics, interpreting successful structures: from the Delta function to the positron --
Explaining with mathematics? from Cicadas to symmetry --
Explaining with mathematics? idealization, universality, and the criteria for explanation --
Conclusion: between lazy optimism and unbridled opportunism.
Responsibility: Otávio Bueno and Steven French.

Abstract:

How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? Bueno and French offer a new approach to the puzzle of the applicability of  Read more...

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