400+ Sourced quotes
Miracles in mysticism don't occupy such an important place. It's metaphor, for the peasants, for the crowds, to impress people. What does mysticism really mean? It means the way to attain knowledge. It's close to philosophy, except in philosophy you go horizontally while in mysticism you go vertically. You plunge into it. Philosophy is a slow process of logic and logical discourse: A bringing B bringing C and so forth. In mysticism you can jump from A to Z. But the ultimate objective is the same. It's knowledge. It's truth.
Insanity is often the logic of an accurate mind overtasked. Good mental machinery ought to break its own wheels and levers, if anything is thrust among them suddenly which tends to stop them or reverse their motion. A weak mind does not accumulate force enough to hurt itself; stupidity often saves a man from going mad.
We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry. There will come with the greater love of science greater love to one another. Living more nearly to Nature is living farther from the world and from its follies, but nearer to the world's people; it is to be of them, with them, and for them, and especially for their improvement. We cannot see how impartially Nature gives of her riches to all, without loving all, and helping all; and if we cannot learn through Nature's laws the certainty of spiritual truths, we can at least learn to promote spiritual growth while we are together, and live in a trusting hope of a greater growth in the future.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
Oddly enough, Putnam believes part of the attraction of some of these formalisms is their obscurity:I think part of the appeal of mathematical logic is that the formulas look mysterious - you write backward Es!
What avail all your scholarly accomplishments and learning, compared with wisdom and manhood? To omit his other behavior, see whata work this comparatively unread and unlettered man wrote within six weeks. Where is our professor of belles-lettres, or of logic and rhetoric, who can write so well?