Epistemic Roles of Diagrams in Short Proofs

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Recent case studies in the philosophy of mathematical practice have pointed out that certain types of diagrams play epistemic roles in mathematical proofs. To complement such case studies and provide a quantitative basis for further analysis and discussions, we undertake an empirical study based on a large and contemporary corpus of mathematical texts. Following an a priori assumption that diagrams in short proofs carry more epistemic warrant, we focus on 1- or 2-sentence proofs that refer to diagrams, and we build a corpus of such proofs from the arXiv. Based on this corpus we analyze and develop a typology of such proofs in order to conduct selected qualitative close-readings of diagrams in their argumentative contexts. This leads us to discuss tensions between visual and syntactical aspects of diagrams that suggest that hybrid diagrams play distinct roles in mathematical practice.
OriginalsprogDansk
TitelDiagrammatic Representation and Inference
Antal sider8
ForlagSpringer
Publikationsdato2022
Sider235–242
Kapitel20
ISBN (Trykt)978-3-031-15145-3
ISBN (Elektronisk)978-3-031-15146-0
DOI
StatusUdgivet - 2022
BegivenhedDiagrams 2022: 13th International Conference on the Theory and Application of Diagrams - Sapienza Universita di Roma, Rome, Italien
Varighed: 13 sep. 202217 sep. 2022
http://www.diagrams-conference.org/2022/

Konference

KonferenceDiagrams 2022
LokationSapienza Universita di Roma
LandItalien
ByRome
Periode13/09/202217/09/2022
Internetadresse
NavnLecture Notes in Computer Science
Vol/bind13462
ISSN0302-9743

ID: 319604401