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Principles Quotes

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Principles Quotes

“Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does PoincarĂ©, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.”

“The final moment of success is often no more thrilling than taking off a heavy backpack at the end of a long hike. If you went on the hike only to feel that pleasure, you are a fool. Yet people sometimes do just this. They work hard at a task and expect some special euphoria at the end. But when they achieve success and find only moderate and short-lived pleasure, they ask is that all there is? They devalue their accomplishments as a striving after wind. We can call this the progress principle: Pleasure comes more from making progress toward goals than from achieving them.”

“People generally will soon understand that writers should be judged, not according to rules and species, which are contrary to nature and art, but according to the immutable principles of the art of composition, and the special laws of their individual temperaments.”

“Ancient traditions have long associated holy wells and springs as very special places of the Goddess or anima mundi: symbolic of the Great Mother and associated with birth, the feminine principle, the universal womb, the prima materia, the waters of fertility and refreshment and the fountain of life. The dreaming sites, as they are called, have also been associated with visions, healing, and other paranormal experiences. In ancient Greece, for example, there were more than three-hundred medical centers placed at water sources, where patients experienced healing.”

“Our politicians have sacrificed their principles on the altar of special interests; our corporate leaders have sacrificed their integrity on the altar of profits; and our media watchdogs have sacrificed the voice of dissent on the altar of audience competition.”

“The word generalization in literature usually means covering too much territory too thinly to be persuasive, let alone convincing. In science, however, a generalization means a principle that has been found to hold true in every special case.... The principle of leverage is a scientific generalization.”

“There is nothing which an untrained mind shows itself more hopelessly incapable, than in drawing the proper general conclusions from its own experience. And even trained minds, when all their training is on a special subject, and does not extend to the general principles of induction, are only kept right when there are ready opportunities of verifying their inferences by facts.”