"There are two kinds of paradoxes. They are not so much the good and the bad, nor even the true and the false. Rather they are the fruitful and the barren; the paradoxes which produce life and the paradoxes that merely announce death. Nearly all modern paradoxes merely announce death."

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If we concentrate our attention on trying to solve a problem of geometry, and if at the end of an hour we are no nearer to doing so than at the beginning, we have nevertheless been making progress each minute of that hour in another more mysterious dimension. Without knowing or feeling it, this apparent barren affort has brought more light into the soul.

— Simone Weil