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Applying Mathematics to the Natural ...

Kasirzadeh, Atoosa,

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Applying Mathematics to the Natural and Social World /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Applying Mathematics to the Natural and Social World // Atoosa Kasirzadeh.
Author:	Kasirzadeh, Atoosa,
Description:	1 electronic resource (116 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
Contained By:	Dissertations Abstracts International83-06B.
Subject:	Philosophy of science. -
Online resource:	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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245 1 0 $a Applying Mathematics to the Natural and Social World / $c Atoosa Kasirzadeh.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 1 electronic resource (116 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
500 $a Advisors: Brown, James Committee members: Huber, Franz; Miller, Michael; Berkovitz, Joseph; Strevens, Michael.
502 $b Ph.D. $c University of Toronto (Canada) $d 2021.
520 $a 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.
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653 $a Counterfactual explanation
653 $a Explainable artificial intelligence
653 $a Mathematical explanation
653 $a Scientific explanation
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710 2 $a University of Toronto (Canada). $b History and Philosophy of Science and Technology. $e degree granting institution. $3 3825901
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