We adore chaos because we love to produce order.
M. C. EscherRead
In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.
Interpretation
What this quote means
Mathematicians focus on the principles and theories behind mathematics rather than the practical applications or its creative aspects.
M. C. Escher's quote reflects the idea that while mathematicians are adept at exploring the theoretical foundations of their field, they often overlook the potential wonders and creativity that lie beyond these theories. The 'gate' represents the entry point into a broader, more imaginative realm of mathematics and its applications, suggesting that a deep understanding of theory does not necessarily lead to an appreciation of the beauty and creativity that can arise from practical exploration.
Themes
MathematicsTheoryCreativityExplorationImagination
In practice
Example use cases
During a lecture on the philosophical implications of mathematics, this quote could illustrate how theoretical advancements can lead to new realms of inquiry.
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