Lehet, Ellen (2019) Induction and Explanatory Definitions in Mathematics. [Preprint]

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Abstract
In this paper, I argue that there are cases of explanatory induction in mathematics. To do so, I first introduce the notion of explanatory
definition in the context of mathematical explanation. A large part of the paper is dedicated to introducing and analyzing this notion of
explanatory definition and the role it plays in mathematics. After doing so, I discuss a particular inductive definition in advanced mathematics
 CWcomplexes  and argue that it is explanatory. With this, we see that there are cases of explanatory induction.
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Item Type:  Preprint  

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Keywords:  Mathematical Explanation, Mathematical Practice, Induction, Mathematical Definition  
Subjects:  Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Practice 

Depositing User:  Ellen Lehet  
Date Deposited:  16 Jan 2019 01:19  
Last Modified:  22 Jan 2019 13:36  
Item ID:  15587  
Subjects:  Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Practice 

Date:  January 2019  
URI:  https://philsciarchive.pitt.edu/id/eprint/15587 
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