○ A war of words occured in Europe in the seventeenth century, when the Catholic priests refused to teach their students the concept of infinitesimals, claiming that God will never create anything that cannot be conceived and defined.

○ Years have passed since then, and today we have all the tools needed to give a strictly mathematical definition of the infintesimal. I use a Dirac-knife to make Dedekind-cuts on the real line and use a Hyper-clock to count the cuts.

○ The definition shows that studying infinesimals and infinities amounts to the same thing. Like infinities, there are an infinite number of infinitesimals.

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