Circles Disturbed: The Interplay of Mathematics and Narrative by Apostolos Doxiadis & Barry Mazur

Author:Apostolos Doxiadis & Barry Mazur
Language: eng
Format: mobi, pdf
ISBN: 9780691149042
Publisher: Princeton University Press
Published: 2012-02-27T00:00:00+00:00

Figure 10.1. A diagrammatic depiction of the relationship of rhetoric and mathematics.

I shall begin my investigation slightly outside the area mapped in figure 10.1, on the left side. For before examining how certain rhetorical concepts, methods, and patterns were instrumental to mathematical proof, I want to examine out how they entered the domain of rhetoric in the first place: to say that mathematics took a large part of its logico-deductive, apodictic tools from rhetoric but leave the origin of these tools in rhetoric unexplained would simply relocate rather than answer the original question.

I shall use the streetcar-named-Desire metaphor to guide us through various cognitive modes, or stations, in historical development, beginning with the first of these, narrative. From there we move on to poetic storytelling, then to rhetoric, and finally to our ulterior goal, proof. This course is not simply linear, though, as depicted in figure 10.2.

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