Biology, therefore, divides into Organogeny, Phytosophy and Zoosophy.

After this division of the subject the question first of all arises, what is science, provided there is one.

TRUTH.

22. Science is a series of necessarily inter-dependent and consecutive propositions, which rest upon a certain fundamental proposition.

23. Now, if anything be certain it can only be one in number. If, then, there be only one certainty, there can also be only one science, from which all the rest must be derived.

24. The Mathematical is certain, and, by virtue of this character, it stands also alone. Mathematics is the only true science, and thus the primary science, the Mathesis, or Knowledge simply, as it was called by the ancients. The fundamental propositions of mathematics must, therefore, be fundamental propositions for all other sciences also.

25. Physio-philosophy is only a science when it is reducible to, i. e. can be placed upon an equal footing with, mathematics. Mathematics is the universal science; so also is Physio-philosophy, although it is only a part, or rather but a condition of the universe; both are one, or mutually congruent.

26. Mathematics is, however, a science of mere forms without substance. Physio-philosophy is, therefore, Mathematics endowed with substance.

27. The substance of Physio-philosophy must be of one kind with the form of Mathematics.

28. The certainty of mathematical propositions depends upon no proposition being essentially different from another. Though there may be much that is diversified or heterogeneous, there is nothing new in Mathematics.