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The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert
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Interpretation

What this quote means

Mathematics reveals deeper connections as it develops further.

David Hilbert suggests that as mathematical theories advance, they tend to become more coherent and interconnected, unveiling unexpected relationships between different areas of mathematics. This reflects the inherent unity of mathematical concepts and the way that progress in one domain can illuminate understanding in another.

Themes

MathematicsTheoryRelationsDevelopmentScience

In practice

Example use cases

A mathematician might use this quote to inspire students at a seminar about the beauty of mathematical connections.

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Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
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