Interlacing the singularity, the diagram and the metaphor. Translated by Simon B. Duffy

In Simon B. Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen (2006)
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Abstract

If the allusive stratagems can claim to define a new type of systematicity, it is because they give access to a space where the singularity, the diagram and the metaphor may interlace, to penetrate further into the physico-mathematic intuition and the discipline of the gestures which precede and accompany ‘formalisation’. This interlacing is an operation where each component backs up the others: without the diagram, the metaphor would only be a short-lived fulguration because it would be unable to operate: without the metaphor, the diagram would only be a frozen icon, unable to jump over its bold features which represent the images of an already acquired knowledge; without the subversion of the functional by the singular, nothing would come to oppose the force of habit.

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Simon B. Duffy
Monash University

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The Role of Notations in Mathematics.Carlo Cellucci - 2020 - Philosophia 48 (4):1397-1412.

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