English mathematician and philosopher (1861–1947)
Alfred North Whitehead, OM (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He is best known as the defining figure of the philosophical school known as process philosophy, which today has found application to a wide variety of disciplines, including ecology, theology, education, physics, biology, economics, and psychology, among other areas.
From: Wikiquote (CC BY-SA 4.0)
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.
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 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.