"We can now return to the distinction between language and symbolism. A symbol is language and yet not language. A mathematical or logical or any other kind of symbol is invented to serve a purpose purely scientific; it is supposed to have no emotional expressiveness whatever. But when once a particular symbolism has been taken into use and mastered, it reacquires the emotional expressiveness of language proper. Every mathematician knows this. At the same time, the emotions which mathematicians find expressed in their symbols are not emotions in general, they are the peculiar emotions belonging to mathematical thinking."

“In actual history, events overlap ; you cannot, except by a confessed fiction, state the point at which the event called the Middle Ages ends and the event called the Modern Period begins.”

“a) The definition of history? Every historian would agree, I think, that history is a kind of research or inquiry. What kind of inquiry it is I do not yet ask. The point is that generically it belongs to what we call the sciences: that is, the forms of thought whereby we ask questions and try to answer them. Science in general, it is important to realize, does not consist in collecting what we already know and arranging it in this or that kind of pattern. It consists in fastening upon something we do not know, and trying to discover it. Playing patience with things we already know may be a useful means towards this end, but it is not the end itself. It is at best only the means. It is scientifically valuable only in so far as the new arrangement gives us the answer to a question we have already decided to ask. That is why all science begins from the knowledge of our own ignorance: not our ignorance of everything, but our ignorance of some definite thing-the origin of parliament, the cause of cancer, the chemical composition of the sun, the way to make a pump work without muscular exertion on the part of a man or a horse or some other docile animal. Science is finding things out: and in that sense history is a science.”

“One of Collingwood's earliest attempts to define the aesthetic essence of art. His aim, he writes in the preface, is to state a general conception of art and develop its consequences. His conception is one already familiar through the writings of others -- "that art is as bottom neither more nor less than imagination" -- but from his observation he goes on to outline the various distinctions between subordinate conceptions of art, and to attempt to demonstrate their place in the general conception, and the place of both in life. He urges that the meaningfulness of art cannot be torn from the imaginative setting in which it is embedded, and that we must attempt to explain the process by which an artist reaches a particular point of view on reality.”

“The word art has in ordinary usage three senses. First, it means the creation of objects or the pursuit of activities called works of art, by people called artists ; these works being distinguished from other objects and acts not merely as human products, but as products intended to be beautiful. Secondly, it means the creation of objects or the pursuit of activities called artificial as opposed to natural; that is to say objects created or activities pursued by human beings consciously free to control their natural impulses and to organize their life in a plan. Thirdly, it means that frame of mind which we call artistic, the frame of mind in which we are aware of beauty.”

“The general conception here maintained is not new; it is one already familiar from the works of Coleridge, Croce and many others; it is the view that art is at bottom neither more nor less than imagination.”

“The real is the present, conceived not as a mathematical point between the present and the past, but as the union of present and past in a duration or permanence that is at the same time change. Thus the past as past and the future as future do not exist at all, but are purely ideal; the past as living in the present and the future as germinating in the present are wholly real and indeed are just the present itself. It is because of the presence of these two elements in the present... that the present is a concrete and changing reality and not an empty mathematical point.”