70

76

I was saying that all collections less
than a given collection can be reasoned about
in ways that greater collections cannot. The
mode of reasoning which is applicable to all
enumerable collections, but to no others was
first discovered, or first put into a logical treatise
by Augustus DeMorgan. He called it the syllogism
of transposed quantity. Here is an example:
Every dollar borrowed requires a borrowed dollar to be paid out
No borrowed dollar paid out covers more than one dollar borrowed
∴ Every dollar borrowed has to be paid out.

Now I need not tell you that sundry business schemes
are based on the idea of evading this conclusion.
The notion is that dollars borrowed can partly be
spent and can all be paid out by means of