Aspect seeing and mathematical representations
Aspect seeing and mathematical representations

Summary/Abstract: In the present article the productive role of visual representations in mathematics is explained by referring to “aspect seeing”. First, the notion of aspect seeing is introduced, as proposed by Wittgenstein in his works. Second, the pragmatic dimension of aspect seeing is discussed. Third, three key examples of aspect seeing in mathematics are presented with the aim of showing the relevance of aspect shifting in important areas of mathematics by looking at both its pragmatic dimension and its relationship with conceptual mastery. Finally, some conclusions are given about aspect seeing as a human phenomenon.

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