There is finitude — unless this were true, infinity would have no meaning. The contrast of finitude and infinity arises from the fundamental metaphysical truth that every entity involves an indefinite array of perspectives, each perspective expressing a finite characteristic of that entity. But any one finite perspective does not enable an entity to shake off its essential connection with totality. The infinite background always remains as the unanalysed reason why that finite perspective of that entity has the special character that it does have. Any analysis

Philosophy destroys its usefulness when it indulges in brilliant feats of explaining away. It is then trespassing with the wrong equipment upon the field of particular sciences. Its ultimate appeal is to the general consciousness of what in practice we experience. Whatever thread of presupposition characterizes social expression throughout the various epochs of rational societyt must find its place in philosophic theory. Speculative boldness must be balanced by complete humility before logic, and before fact. It is a disease of philosophy when it is neither bold nor humble, but
merely a reflection of the temperamental presuppositions of exceptional personalities.

Presentational immediacy is our immediate perception of the contemporary external world, appearing as an element constitutive of our own experience. In this appearance the world discloses itself to be a community of actual things, which are actual in the same sense as we are.

We all know Aesop’s fable of the dog who dropped a piece of meat to grasp at its reflection in the water. We must not, however, judge too severely of error. In the initial stages of mental progress, error in symbolic reference is the discipline which promotes imaginative freedom.

Panic of error is the death of progress, and love of truth is its safeguard.

A student should not be taught more than he can think about.

Thus the universe is to be conceived as attaining the active self-expression of its own variety of opposites of its own freedom and its own necessity, of its own multiplicity and its own unity, of its own imperfection and its own perfection. All the opposites are elements in the nature of things, and are incorrigibly there. The concept of God is the way in which we understand this incredible fact that what cannot be, yet is.

The point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.

Religion will not regain its old power until it can face change in the same spirit as does science. Its principles may be eternal, but the expression of those principles requires continual development.

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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.

Ideas won't keep. Something must be done about them.

It is no paradox to say that in our most theoretical moods we may be nearest to our most practical applications.