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

James Clerk Maxwell

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
Wherein they fancy intersperses Long avenues of universes, While Klein and Clifford fill the void With one finite, unbounded homoloid, And think the Infinite is now at last destroyed.
JAMES CLERK MAXWELL

Avenue Country Destroy Fancy Infinite Long People Person Think Unbound Universe
The student who uses home made apparatus, which is always going wrong, often learns more than one who has the use of carefully adjusted instruments, to which he is apt to trust and which he dares not take to pieces.
JAMES CLERK MAXWELL

Always Apparatus Going Home Made Student Use Wrong
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
Thoroughly conscious ignorance is the prelude to every real advance in science.
JAMES CLERK MAXWELL

Advance Conscious Every Ignorance Prelude Rawal Science
It is a universal condition of the enjoyable that the mind must believe in the existence of a law, and yet have a mystery to move about in.
JAMES CLERK MAXWELL

Believe Condition Enjoyable Existence Law Mind Must Mystery Universe
What’s the go of that? What’s the particular go of that?
JAMES CLERK MAXWELL

Go Particular
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
Very few of us can now place ourselves in the mental condition in which even such philosophers as the great Descartes were involved in the days before Newton had announced the true laws of the motion of bodies.
JAMES CLERK MAXWELL

Before Condition Day Descarte Few Great Involve Mental Newton Now Ourselves Philosopher Place Such Very
The rate of change of scientific hypothesis is naturally much more rapid than that of Biblical interpretations, so that if an interpretation is founded on such an hypothesis, it may help to keep the hypothesis above ground long after it ought to be buried and forgotten.
JAMES CLERK MAXWELL

Biblical Bury Change Ground Hypothesis Interpretation Dimension Long More Rate Scientific
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
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
Such indeed is the respect paid to science, that the most absurd opinions may become current, provided they are expressed in language, the sound of which recals [sic] some well-known scientific phrase.
JAMES CLERK MAXWELL

Current Expressed Indeed Language Opinion Phrase Respect Scientific Such
Heat may be generated and destroyed by certain processes, and this shows that heat is not a substance.
JAMES CLERK MAXWELL

Certain Destroy Generate Het Process Show Substance
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
The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?
JAMES CLERK MAXWELL

Extent Hard Infinite Itself Man Many Material Mind Place Prep; Exed Question Space World
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
We define thermodynamics … as the investigation of the dynamical and thermal properties of bodies, deduced entirely from the first and second law of thermodynamics, without speculation as to the molecular constitution.
JAMES CLERK MAXWELL

Body Constitution Deduct Define Entirely First Investigation Law Molecular Property Second Speculation Thermal Thermodynamics
Ampere was the Newton of Electricity.
JAMES CLERK MAXWELL

Ampere Electricity Newton
The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.
JAMES CLERK MAXWELL

Doctrine Evidence Against Experiment Mathematician Result Theory Verification
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
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
Science is incompetent to reason upon the creation of matter itself out of nothing. We have reached the utmost limit of our thinking faculties when we have admitted that because matter cannot be eternal and self-existent it must have been created.
JAMES CLERK MAXWELL

Creation Incomplete Itself Matter Nothing Reason Science Upon
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
In speaking of the Energy of the field, however, I wish to be understood literally. All energy is the same as mechanical energy, whether it exists in the form of motion or in that of elasticity, or in any other form. The energy in electromagnetic phenomena is mechanical energy.
JAMES CLERK MAXWELL

Energy Field Files However Literally Speak Understood
In fact, whenever energy is transmitted from one body to another in time, there must be a medium or substance in which the energy exists after it leaves one body and before it reaches the other … and if we admit this medium as an hypothesis.
JAMES CLERK MAXWELL

Another Body Energy Exist Leave Medium Must One Substance Time Transmitted
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

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

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

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