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Bargaining clouds, or mathematics as a metaphoric exploration of the unexpected

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Detalhes bibliográficos
Resumo:In the very first page of his highly regarded novel, One Hundred Years of Solitude, Gabriel Garcia Marquez writes that, when arriving at Macondo and discovering so many unknown objects, Aurelio Buendia had to point out these things because no words were defined for them. This metaphor of the process of metaphorisation is an apt description of the scientific process itself, as science points out to what it ignores: denotation generates connotation. Even when science is defined as a self-contained logic, as mathematics once presumed to be, it dares into the territories of the unknown and of the unexpected; the more rigorous, the more daring it ought to be. In this paper, we argue that this metaphor is powerful enough to suggest new methods to interpret the emergence of new patterns. In the current example, a stochastic geometry and topological technique are used to describe the structural change in the stock market for the last years. This new method suggests evidence for a transition of regimes in these markets, measures its dynamics and metaphorically provides a graphic description of the ongoing process.
Autores principais:Araújo, Tanya
Outros Autores:Louçã, Francisco
Assunto:Cientific Process Mathematics Metaforic Exploration
Ano:2008
País:Portugal
Tipo de documento:working paper
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
Descrição
Resumo:In the very first page of his highly regarded novel, One Hundred Years of Solitude, Gabriel Garcia Marquez writes that, when arriving at Macondo and discovering so many unknown objects, Aurelio Buendia had to point out these things because no words were defined for them. This metaphor of the process of metaphorisation is an apt description of the scientific process itself, as science points out to what it ignores: denotation generates connotation. Even when science is defined as a self-contained logic, as mathematics once presumed to be, it dares into the territories of the unknown and of the unexpected; the more rigorous, the more daring it ought to be. In this paper, we argue that this metaphor is powerful enough to suggest new methods to interpret the emergence of new patterns. In the current example, a stochastic geometry and topological technique are used to describe the structural change in the stock market for the last years. This new method suggests evidence for a transition of regimes in these markets, measures its dynamics and metaphorically provides a graphic description of the ongoing process.