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

Text
Preprint  Induction and Explanatory Definitions in Mathematics.pdf Download (330kB)  Preview 
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.
Export/Citation:  EndNote  BibTeX  Dublin Core  ASCII/Text Citation (Chicago)  HTML Citation  OpenURL 
Social Networking: 
Item Type:  Preprint  

Creators: 


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:  http://philsciarchive.pitt.edu/id/eprint/15587 
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
View Item 