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  • The signs that presage growth, so similar, it seems to me, to those in early adolescence: discontent, restlessness, doubt, despair, longing, are interpreted falsely as signs of decay. In youth one does not as often misinterpret the signs; one accepts them, quite rightly, as growing pains. One takes them seriously, listens to them, follows where they lead. ... But in the middle age, because of the false assumption that it is a period of decline, one interprets these life-signs, paradoxically, as signs of approaching death.

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The signs that presage growth, so similar, it seems to me, to those in early adolescence: discontent, restlessness, doubt, despair, longing, are interpreted falsely as signs of decay. In youth one does not as often misinterpret the signs; one accepts them, quite rightly, as growing pains. One takes them seriously, listens to them, follows where they lead. ... But in the middle age, because of the false assumption that it is a period of decline, one interprets these life-signs, paradoxically, as signs of approaching death.

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.

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