In order to be scientific, the proofs must always be
of such a character that all can understand them alike.
They can thus become the common basis for unity of
social action. We must not impose any doctrine or belief upon any person, and no doctrine or belief which is not susceptible to scientific proof must ever be made a part of the laws or constitution of society.
ORDINARY KNOWLEDGE expresses in a single
formula a particular truth respecting a particular phenomenon.
SCIENCE expresses in a single formula a general truth respecting an entire order of phenomena.
PHILOSOPHY expresses in a single formula a universal truth respecting all phenomena.
ART CONSISTS of rules by which work is to be done. Skill is the mental and physical qualification required for the use of these rules.
All science is practical knowledge, for it is based upon an exact acquaintance with the objects of nature. It differs from other knowledge in possessing system, clearness and certainty, in place of disorder, obscurity and uncertainty.
If we are to accept philosophy as the highest summary of truth, then it is important that its basis be carefully and honestly laid. And because philosophers have done careless and bad work at the very foundations, we must here consider for a moment the fundamental concepts of space, time and the "infinite." The real truth about these is clear and simple when rightly stated.
BASIC PROPERTIES. Every object has form, space
and parts. We express its space by saying it has length, breadth and thickness. This block has,