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Applying Mathematics to the Natural ...
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Kasirzadeh, Atoosa,
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Applying Mathematics to the Natural and Social World /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Applying Mathematics to the Natural and Social World // Atoosa Kasirzadeh.
作者:
Kasirzadeh, Atoosa,
面頁冊數:
1 electronic resource (116 pages)
附註:
Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
Contained By:
Dissertations Abstracts International83-06B.
標題:
Philosophy of science. -
電子資源:
https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28768275
ISBN:
9798496550024
Applying Mathematics to the Natural and Social World /
Kasirzadeh, Atoosa,
Applying Mathematics to the Natural and Social World /
Atoosa Kasirzadeh. - 1 electronic resource (116 pages)
Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
My dissertation explores the roles that mathematics plays in explanations and action-guidance. In particular, I address epistemic and ethical aspects of applying mathematics in empirical and normative inquiry. In Chapter 2, I examine whether mathematical explanations can be analyzed in terms of counterfactual conditionals. I offer three challenges for such analyses and tentatively conclude against countermathematical explanations. In Chapter 3, I extend the epistemic resources of a popular framework for applying mathematics in sciences. In particular, I use two case studies from biology and physics in order to argue that this framework for applying mathematics in the empirical sciences must be complemented by a distinct role, which I name the bridging role. I show how considering the bridging role would capture mathematical practice in the sciences in a more holistic way. In Chapter 4, I investigate and compare the conditions for applying mathematics in the empirical sciences and normative inquiry. Using two case studies from fair algorithmic decisions and the allocation of scarce resources, I identify two typical sets of different conditions for the applicability of mathematics. Finally, in Chapter 5, I explore the ramifications of the arguments from Chapter 4 to a novel field of research known as Explainable Artificial Intelligence.
English
ISBN: 9798496550024Subjects--Topical Terms:
2079849
Philosophy of science.
Subjects--Index Terms:
Counterfactual explanation
Applying Mathematics to the Natural and Social World /
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