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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

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Doubtful Education Enlightened Mind Symbol Themselves Venture

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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

Between Exact Found Law Mathematical Number Physical Problem Reduce Relation Science
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
The University of Cambridge, in accordance with that law of its evolution, by which, while maintaining the strictest continuity between the successive phases of its history, it adapts itself with more or less promptness to the requirements of the times, has lately instituted a course of Experimental Physics.
JAMES CLERK MAXWELL

Accordance Continuity Country Evolution Law Maintain People Person Phase Strictest Successive University
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
The only laws of matter are those that our minds must fabricate and the only laws of mind are fabricated for it by matter.
JAMES CLERK MAXWELL

Law Matter Mind Must Fabricate Only
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
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
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
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
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
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
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
It is perfect in form, and unassailable in accuracy, and it is summed up in a formula from which all the phenomena may be deduced, and which must always remain the cardinal formula of electro-dynamics.
JAMES CLERK MAXWELL

Always Deduce Dynamic Electro Formula Perfect Phenomena Unassailable
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
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
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

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