“A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts.”

— David Hilbert, Mathematical Problems

Mathematical Problems (1900)
Context: A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution.

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David Hilbert30

German prominent mathematician 1862–1943

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