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  • At that moment I had a thrilling sharp intuition. I knew it as if I held it in my hands: In the gloom of death that surrounded the two of us, we were just at the point of approaching and negotiating a gentle curve. If we bypassed it, we would split off into different directions. In that case, we would forever remain just friends.

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At that moment I had a thrilling sharp intuition. I knew it as if I held it in my hands: In the gloom of death that surrounded the two of us, we were just at the point of approaching and negotiating a gentle curve. If we bypassed it, we would split off into different directions. In that case, we would forever remain just friends.

The world of shapes, lines, curves, and solids is as varied as the world of numbers, and it is only our long-satisfied possession of Euclidean geometry that offers us the impression, or the illusion, that it has, that world, already been encompassed in a manageable intellectual structure. The lineaments of that structure are well known: as in the rest of life, something is given and something is gotten; but the logic behind those lineaments is apt to pass unnoticed, and it is the logic that controls the system.

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