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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

Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.
JAMES CLERK MAXWELL

Express Flatter Human Idea Language Mathematician Passes Themselves Unable Yet
At quite uncertain times and places, The atoms left their heavenly path, And by fortuitous embraces, Engendered all that being hath. And though they seem to cling together, And form ‘associations’ here, Yet, soon or late, they burst their tether, And through the depths of space career.
JAMES CLERK MAXWELL

All Place Quite Time Uncertain
The vast interplanetary and vast interstellar regions will no longer be regarded as waste places in the universe. We shall find them to be already full of this wonderful medium; so full that no human power can remove it from the smallest portion of space or produce the slightest flaw in its infinite continuity.
JAMES CLERK MAXWELL

Interplanetary Place Regard Region Universe Vast
In every branch of knowledge the progress is proportional to the amount of facts on which to build, and therefore to the facility of obtaining data.
JAMES CLERK MAXWELL

Amount Build Data Every Branch Facility Fact Knowledge Obtain Progress Proportional Therefore
… 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
Faraday is, and must always remain, the father of that enlarged science of electromagnetism.
JAMES CLERK MAXWELL

Always Electromagnetism Enlarge Faraday Father Must Remain Science
I have looked into most philosophical systems and I have seen that none will work without God.
JAMES CLERK MAXWELL

God Into Look Most Non Philosophical Seem System
When I reappear it will be in the dusky ring, which is something like the state of the air supposing the siege of Sebastopol conducted from a forest of guns 100 miles one way, and 30,000 miles the other, and the shot never to stop, but go spinning away round a circle, radius 170,000 miles.
JAMES CLERK MAXWELL

Appear Away Conduct Forget Gun Hundred Mile Record Seige Something Spin State Stop Stot
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
Gases are distinguished from other forms of matter, not only by their power of indefinite expansion so as to fill any vessel, however large, and by the great effect heat has in dilating them, but by the uniformity and simplicity of the laws which regulate these changes.
JAMES CLERK MAXWELL

Distinguish Effect Expansion Form Gasses Great Indentifite Large Matter Other Power Vessel
The dimmed outlines of phenomenal things all merge into one another unless we put on the focusing-glass of theory, and screw it up sometimes to one pitch of definition and sometimes to another, so as to see down into different depths through the great millstone of the world.
JAMES CLERK MAXWELL

All Another Diamond Focus Glass Merge Outlines Phenomenal Pitch Put Screw Sometimes Theory Thing Unless
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
But that we may find illustrations of the highest doctrines of science in games and gymnastics, in travelling by land and by water, in storms of the air and of the sea, and wherever there is matter in motion.
JAMES CLERK MAXWELL

Appear Doctrine Emotion Gymnastic Highest Matter Science
It is of great advantage to the student of any subject to read the original memoirs on that subject, for science is always most completely assimilated when it is in the nascent state.
JAMES CLERK MAXWELL

Advantage Always Assimilate Great Memories Mostly Original Raed Science Student Subject
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
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
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, 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
I have been battering away at Saturn, returning to the charge every now and then. I have effected several breaches in the solid ring, and now I am splash into the fluid one, amid a clash of symbols truly astounding.
JAMES CLERK MAXWELL

Battering Breach Change Effect Ever Now Retuning Ring Saturn Several Solid Splash
The experimental investigation by which Ampere established the law of the mechanical action between electric currents is one of the most brilliant achievements in science. The whole, theory and experiment, seems as if it had leaped, full grown and full armed, from the brain of the ‘Newton of Electricity’.
JAMES CLERK MAXWELL

Achievement Ampere Between Brilliant Current Electric Experiment Investigation Law Mechanical Most
But I think that the results which each man arrives at in his attempts to harmonize his science with his Christianity ought not to be regarded as having any significance except to the man himself, and to him only for a time, and should not receive the stamp of a society.
JAMES CLERK MAXWELL

Attempt Christianity Harmonize Receive Result Science Stamp Think
Thoroughly conscious ignorance is the prelude to every real advance in science.
JAMES CLERK MAXWELL

Advance Conscious Every Ignorance Prelude Rawal Science
I think men of science as well as other men need to learn from Christ, and I think Christians whose minds are scientific are bound to study science that their view of the glory of God may be as extensive as their being is capable.
JAMES CLERK MAXWELL

Christ Christmas Coundm Study Learn Men Mind Need Other Science Scientific Think View Well
Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express. Let them make the effort to express these ideas in appropriate words without the aid of symbols, and if they succeed they will not only lay us laymen under a lasting obligation.
JAMES CLERK MAXWELL

Express Flatter Human Idea Language Mathematician Mere Possess Themselves Unable Yet
I have the capacity of being more wicked than any example that man could set me.
JAMES CLERK MAXWELL

Capacity Example Man More Set Wick
The equations at which we arrive must be such that a person of any nation, by substituting the numerical values of the quantities as measured by his own national units, would obtain a true result.
JAMES CLERK MAXWELL

Arrive Eualation Measure Nation National Numerical Own Person Quantities Substuiting Such Value
Francis Galton, whose mission it seems to be to ride other men’s hobbies to death, has invented the felicitous expression ‘structureless germs’.
JAMES CLERK MAXWELL

Country Death Deli Tous Expression Germ Hobby Invent Men Mission Other People Person Seem Structureless

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.

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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.

Related Topics

Popular Authors

More James Clerk Maxwell Quotes