Mizrahi, Moti (2020) Proof, Explanation, and Justification in Mathematical Practice. [Preprint]

Text
ProofExplanationJustificationMathematicalPractice.pdf Download (314kB)  Preview 
Abstract
In this paper, I propose that applying the methods of data science to “the problem of whether mathematical explanations occur within mathematics itself” (Mancosu 2018) might be a fruitful way to shed new light on the problem. By carefully selecting indicator words for explanation and justification, and then systematically searching for these indicators in databases of scholarly works in mathematics, we can get an idea of how mathematicians use these terms in mathematical practice and with what frequency. The results of this empirical study suggest that mathematical explanations do occur in research articles published in mathematics journals, as indicated by the occurrence of explanation indicators. When compared with the use of justification indicators, however, the data suggest that justifications occur much more frequently than explanations in scholarly mathematical practice. The results also suggest that justificatory proofs occur much more frequently than explanatory proofs, thus suggesting that proof may be playing a larger justificatory role than an explanatory role in scholarly mathematical practice.
Export/Citation:  EndNote  BibTeX  Dublin Core  ASCII/Text Citation (Chicago)  HTML Citation  OpenURL 
Social Networking: 
Item Type:  Preprint  

Creators: 


Additional Information:  Journal for General Philosophy of Science  
Keywords:  corpus linguistics; data science; explanation; justification; mathematical practice; proof; text mining  
Subjects:  General Issues > Data Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Proof General Issues > Explanation Specific Sciences > Mathematics 

Depositing User:  Dr. Moti Mizrahi  
Date Deposited:  08 Jul 2020 14:08  
Last Modified:  08 Jul 2020 14:08  
Item ID:  17440  
Subjects:  General Issues > Data Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Proof General Issues > Explanation Specific Sciences > Mathematics 

Date:  6 July 2020  
URI:  http://philsciarchive.pitt.edu/id/eprint/17440 
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
View Item 