The aim of science is to seek the simplest explanations of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be, "Seek simplicity and distrust it."

But discontinuity whether in cultures or physics, unavoidably invokes the ancient notion of harmony. And it is out of the extreme discontinuity of modern existence, with its mingling of many cultures and periods, that there is being born today the vision of a rich and complex harmony. We do not have a single, coherent present to live in, and so we need a multiple vision in order to see at all.

In the theory of well-ordered series and compact series, we have followed Cantor closely, except in dealing with Zermelo's theorem (*257 — 8), and in cases where Cantor's work tacitly assumes the multiplicative axiom. Thus what novelty there is, is in the main negative. In particular, the multiplicative axiom is required in all known proofs of the fundamental proposition that the limit of a progression of ordinals of the second class {i.e. applicable to series whose fields have ^{o terms) is an ordinal of the second class (cf *265). In consequence of this fact, a very large part of the recognized theory of transfinite ordinals must be considered doubtful.

Explicitly in the verbal sentence, or implicitly in the
understanding of the subject entertaining it, every expression of a proposi-
tion includes demonstrative elements. In fact each word, and each sym-
bolic phrase, is such an element, exciting the conscious prehension of some
entity belonging to one of the categories of existence.

of the limited perspective always includes some additional factors of the background. The entity is then experienced in a wider finite perspective, still presupposing the inevitable background which is the universe in its relation to that entity.

It will be evident to you that I am here controverting the most cherished tradition of modern philosophy, shared alike by the school of empiricists which derives from Hume, and the school of transcendental idealists which derives from Kant.

Explicitly in the verbal sentence, or implicitly in the understanding of the subject entertaining it, every expression of a proposition includes demonstrative elements. In fact each word, and each symbolic phrase, is such an element, exciting the conscious prehension of some entity belonging to one of the categories of existence.

It is the first step in sociological wisdom, to
recognize that the major advances in civilization
are processes which all but wreck the societies in
which they occur : — like unto an arrow in the
hand of a child.

It does not emphasize the ruling Caesar, or the ruthless moralist, or the unmoved mover. It dwells upon the tender elements in the world, which slowly and in quietness operates by love; and it finds purpose in the present immediacy of a kingdom not of this world. Love neither rules, nor is it unmoved; also it is a little oblivious as to morals. It does not look to the future; for it finds its own reward in the immediate present

Thus nature gets credit which should in truth be reserved for ourselves: the rose for its scent: the nightingale for his song: the sun for its radiance. The poets are entirely mistaken. They should address their lyrics to themselves, and should turn them into odes of self-congratulation on the excellency of the human mind. Nature is a dull affair, soundless, scentless, colourless...

These are the events which share the immediacy of the immediately present discerned events. These are the events whose characters together with those of the discerned events comprise all nature present for discernment. They form the complete general fact which is all nature now present as disclosed in that sense-awareness. It is in this second classification of events that the differentiation of space from time takes its origin. The germ of space is to be found in the mutual relations of events within the immediate general fact which is all nature now discernible, namely within the one event which is the totality of present nature. The relations of other events to this totality of nature form the texture of time.