For to prove a mathematical proposition is to show (or demonstrate) that it is equivalent, i. e. of the same kind with another proposition. All mathematical propositions must, consequently, resemble a first proposition.
29. Physio-philosophy must also show that all its propositions, or that all things, resemble each other, and, finally, some first proposition or thing.
30. These natural propositions or natural things must, however, resemble also mathematical propositions, and depend, after all, upon the primary proposition of mathematics or the axiom.
Now then comes the question, what is the first principle of Mathematics?
[PART I.]
MATHESIS—OF THE WHOLE.
NOTHING.
31. The highest mathematical idea, or the fundamental principle of all mathematics is the zero = 0.
The whole science of mathematics depends upon zero. Zero alone determines the value in mathematics.