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Circles DisturbedThe Interplay of Mathematics and Narrative$
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Apostolos Doxiadis and Barry Mazur

Print publication date: 2012

Print ISBN-13: 9780691149042

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691149042.001.0001

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Formal Models in Narrative Analysis

Formal Models in Narrative Analysis

(p.447) Chapter 13 Formal Models in Narrative Analysis
Circles Disturbed

David Herman

, Apostolos Doxiadis, Barry Mazur
Princeton University Press

This chapter considers formal models of narrative and the nature of the theory of narrative. After discussing the diachronic and synchronic approaches to investigating the role of formal models in narrative analysis, the chapter looks at those ideas about models and modeling as a kind of bridge between humanistic and technoscientific discourse. It then evaluates descriptive and functional classifications of models, along with a range of perspectives on mathematical models and modeling. It also presents a case study in metanarratology, with a particular focus on modeling practices that have been brought to bear on focalization. It also analyzes some instances of the confluence of the formal study of narrative and mathematics, including the use of permutation groups, as well as the synergy between mathematically based theories of structural linguistics and early work on story grammars.

Keywords:   formal models, narrative, narrative analysis, mathematical modeling, metanarratology, focalization, mathematics, permutation groups, structural linguistics, story grammars

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