The only thing wrong with infinitesimals is that they don’t exist, at least not within the system of real numbers. Oh, and one other thing — they are paradoxical. They wouldn’t make sense even if they did exist. One of Leibniz’s disciples, Johann Bernoulli, realized they’d have to satisfy nonsensical equations like x + dx = x, even though dx isn’t zero. Hmmm. Well, you can’t have everything. Infinitesimals do give the right answers once we learn how to work with them, and the benefits they provide more than make up for any psychic distress they may cause. They are like Picasso’s lie that helps
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