Besides, it is an error to believe that rigor in the proof is the enemy of simplicity. [...] The very effort for rigor forces us to find out simpler methods of proof.
Source:
David Hilbert: Mathematical Problems, Lecture delivered before the International Congress of Mathematician at Paris in 1900. Bull. Amer. Math. Soc. Vol.8, No. 10 (1902), p. 441.
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