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Thus number may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

James Clerk Maxwell

I have also a paper afloat, with an electromagnetic theory of light, which, till I am convinced to the contrary, I hold to be great guns.
JAMES CLERK MAXWELL

Also Contrary Convince Greta Gun Hold Paper Theory
Every existence above a certain rank has its singular points; the higher the rank the more of them. At these points, influences whose physical magnitude is too small to be taken account of by a finite being may produce results of the greatest importance.
JAMES CLERK MAXWELL

Above Certain Every Existence Influence Magnitude More Physical Point Rank Singular Them These
All the mathematical sciences are founded on relations between physical laws and laws of numbers.
JAMES CLERK MAXWELL

All Between Found Law Mathematically Number Physical Relation Science
All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.
JAMES CLERK MAXWELL

Between Exact Found Law Mathematical Number Physical Problem Reduce Relation Science
… that, in a few years, all great physical constants will have been approximately estimated, and that the only occupation which will be left to men of science will be to carry these measurements to another place of decimals.
JAMES CLERK MAXWELL

Approximately Constant Estimate Few Great Left Men Occupation Only Physical Science Will Work Year
I think it ought to occupy a prominent place in our investigations, and that we ought to endeavour to construct a mental representation of all the details of its action, and this has been my constant aim in this treatise.
JAMES CLERK MAXWELL

Constant Endeavour Investigation Occupy Ought Place Representation Think Treatise
Gin a body meet a body Flyin’ through the air, Gin a body hit a body, Will it fly? and where?
JAMES CLERK MAXWELL

Body Flyin Gin Met Through
The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability.
JAMES CLERK MAXWELL

Account Calculus Logic Magnitude Probability Take True World
The mathematical difficulties of the theory of rotation arise chiefly from the want of geometrical illustrations and sensible images, by which we might fix the results of analysis in our minds.
JAMES CLERK MAXWELL

Chiefly Difficulties Fix Geometric Illustration Image Longer Mathematical Regard Result Rotation Sensible Theory
But, we venture to say, they will find themselves very much enlightened during the process, and will even be doubtful whether the ideas as expressed in symbols had ever quite found their way out of the equations into their minds.
JAMES CLERK MAXWELL

Doubtful Education Enlightened Mind Symbol Themselves Venture
An Experiment, like every other event which takes place, is a natural phenomenon; but in a Scientific Experiment the circumstances are so arranged that the relations between a particular set of phenomena may be studied to the best advantage.
JAMES CLERK MAXWELL

Arrange Circumstance Early Experience Like Nature Phenomena Place Relation Scientific Take
In the heavens we discover [stars] by their light, and by their light alone … the sole evidence of the existence of these distant worlds … that each of them is built up of molecules of the same kinds we find on earth.
JAMES CLERK MAXWELL

Alone Built Discover Distant Each Evidence Existence Heaven Light Sole Star Word
But though the professed aim of all scientific work is to unravel the secrets of nature, it has another effect, not less valuable, on the mind of the worker. It leaves him in possession of methods which nothing but scientific work could have led him to invent.
JAMES CLERK MAXWELL

Anothermeffect Less Mind Nature Professed Scientific Secret Through Unravel Valuable Work Worker
The popularisation of scientific doctrines is producing as great an alteration in the mental state of society as the material applications of science are effecting in its outward life.
JAMES CLERK MAXWELL

Accompanied Alternation Application Disturbance Doctrine Great Material Mental Popularisation Produce Scientific Society State
One of the chief peculiarities of this treatise is the doctrine that the true electric current, on which the electromagnetic phenomena depend, is not the same thing as the current of conduction, but that the time-variation of the electric displacement must [also] be taken into account.
JAMES CLERK MAXWELL

Chief Current Depend Doctrine Electric Electromagnetic One Peculiarities Phenomena Same Thing Treatise True
My soul is an entangled knot, Upon a liquid vortex wrought By Intellect in the Unseen residing, And thine doth like a convict sit, With marline-spike untwisting it, Only to find its knottiness abiding; Since all the tools for its untying In four-dimensional space are lying,
JAMES CLERK MAXWELL

Convict Entangled Intellect Liquid Marline Ride Soul Spike Unseen Untwisting Votex Wrought

Thus number may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

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Thus number may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

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