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mathematics
6 paragraphs · about 2 minutes
Every paragraph the index cites under mathematics, once, in the order of the book. Beside each stand the entries that cite it.
12:9.3Mathematics, material science, is indispensable to the intelligent discussion of the material aspects of the universe, but such knowledge is not necessarily a part of the higher realization of truth or of the personal appreciation of spiritual realities. Not only in the realms of life but even in the world of physical energy, the sum of two or more things is very often something more than, or something different from, the predictable additive consequences of such unions. The entire science of mathematics, the whole domain of philosophy, the highest physics or chemistry, could not predict or know that the union of two gaseous hydrogen atoms with one gaseous oxygen atom would result in a new and qualitatively superadditive substance—liquid water. The understanding knowledge of this one physiochemical phenomenon should have prevented the development of materialistic philosophy and mechanistic cosmology.
12:9.4 · one paragraph not cited here ·
12:9.4Technical analysis does not reveal what a person or a thing can do. For example: Water is used effectively to extinguish fire. That water will put out fire is a fact of everyday experience, but no analysis of water could ever be made to disclose such a property. Analysis determines that water is composed of hydrogen and oxygen; a further study of these elements discloses that oxygen is the real supporter of combustion and that hydrogen will itself freely burn.
12:9.5Your religion is becoming real because it is emerging from the slavery of fear and the bondage of superstition. Your philosophy struggles for emancipation from dogma and tradition. Your science is engaged in the agelong contest between truth and error while it fights for deliverance from the bondage of abstraction, the slavery of mathematics, and the relative blindness of mechanistic materialism.
81:6.10Science teaches man to speak the new language of mathematics and trains his thoughts along lines of exacting precision. And science also stabilizes philosophy through the elimination of error, while it purifies religion by the destruction of superstition.
123:6.3About this time Jesus met a teacher of mathematics from Damascus, and learning some new techniques of numbers, he spent much time on mathematics for several years. He developed a keen sense of numbers, distances, and proportions.
133:5.5Logic is valid in the material world, and mathematics is reliable when limited in its application to physical things; but neither is to be regarded as wholly dependable or infallible when applied to life problems. Life embraces phenomena which are not wholly material. Arithmetic says that, if one man could shear a sheep in ten minutes, ten men could shear it in one minute. That is sound mathematics, but it is not true, for the ten men could not so do it; they would get in one another’s way so badly that the work would be greatly delayed.
133:5.6Mathematics asserts that, if one person stands for a certain unit of intellectual and moral value, ten persons would stand for ten times this value. But in dealing with human personality it would be nearer the truth to say that such a personality association is a sum equal to the square of the number of personalities concerned in the equation rather than the simple arithmetical sum. A social group of human beings in co-ordinated working harmony stands for a force far greater than the simple sum of its parts.
Onward
Cited alongside: mechanism (theory), science, superstition, materialism