Mathematics in Western Culture
Oxford University Press, 31.12.1964. - 512 страница
This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
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The Newtonian Influence Religion
The Newtonian Influence Literature and Aesthetics
The Sine of G Major
Mastery of the Ether Waves
The Science of Human Nature
The Mathematical Theory of Ignorance The Statistical Approach to the Study of Man
Prediction and Probability
Our Disorderly Universe The Statistical View of Nature
The Harmony of the World
Painting and Perspective
Science Born of Art Projective Geometry
A Discourse on Method
The Quantitative Approach to Nature
The Deduction of Universal Laws
Grasping the Fleeting Instant The Calculus
The Newtonian Influence Science and Philosophy
The Paradoxes of the Infinite
New Geometries New Worlds
The Theory of Relativity
Mathematics Method and Art
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accordance actually angle answer appear applied approach axioms behavior believed body calculate called cause century circle civilization concepts conclusions consider course curve deductive described determine distance Earth effect equal equation Euclidean example existence experience fact fall fields figure follow force formula frequency geometry given Greek hand Hence human ideas important infinite knowledge known laws length light logical mass mathe mathematicians mathematics matter means measure merely method mind motion moving nature Newton objects observation obtain painting parallel path period phenomena philosophy physical planets position possible practical principle probability problems produced properties proved quantity question rational reason relation represent scientific scientists sense showed sides simple sound space speed sphere straight line Suppose surface theorems theory thought tion triangle true truths universe
Страница 284 - Ah, love, let us be true To one another! for the world, which seems To lie before us like a land of dreams, So various, so beautiful, so new, Hath really neither joy, nor love, nor light, Nor certitude, nor peace, nor help for pain; And we are here as on a darkling plain Swept with confused alarms of struggle and flight, Where ignorant armies clash by night.
Страница 267 - STRONG Son of God, immortal Love, Whom we, that have not seen thy face, By faith, and faith alone, embrace, Believing where we cannot prove; Thine are these orbs of light and shade; Thou madest Life in man and brute ; Thou madest Death; and lo, thy foot Is on the skull which thou hast made. Thou wilt not leave us in the dust: Thou madest man, he knows not why, He thinks he was not made to die; And thou hast made him: thou art just.
Страница 281 - From harmony, from heavenly harmony This universal frame began : From harmony to harmony Through all the compass of the notes it ran, The diapason closing full in Man.
Страница 198 - I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Страница 281 - In Mathematics he was greater Than Tycho Brahe, or Erra Pater: For he, by geometric scale, Could take the size of pots of ale; Resolve, by sines and tangents straight, If bread or butter wanted weight; And wisely tell what hour o' th' day The clock does strike, by Algebra.
Страница 267 - We have but faith: we cannot know, For knowledge is of things we see; And yet we trust it comes from thee, A beam in darkness: let it grow.
Страница 122 - Did wisely to conceal, and not divulge His secrets, to be scann'd by them who ought Rather admire...