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William Kingdon Clifford
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William Kingdon Clifford

mathematician, philosopher, university teacher

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1845  – 1879

William Kingdon Clifford was a British mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra. This is a special case of what later became known as the Clifford algebra, which was named in his honour. The operations of geometric algebra have the effect of mirroring, rotating, translating, and mapping the geometric objects that are being modelled to new positions. Clifford algebras in general and geometric algebra in particular have been of ever increasing importance to mathematical physics, geometry, and computing. Clifford was the first to suggest that gravitation might be a manifestation of an underlying geometry. In his philosophical writings he coined the expression mind-stuff.

All Quotes by William Kingdon Clifford

“When an action is once done, it is right or wrong for ever; no accidental failure of its good or evil fruits can possibly alter that.”
— William Kingdon Clifford
“The name philosopher, which meant originally 'lover of wisdom,' has come in some strange way to mean a man who thinks it is his business to explain everything in a certain number of large books. It will be found, I think, that in proportion to his colossal ignorance is the perfection and symmetry of the system which he sets up; because it is so much easier to put an empty room tidy than a full one.”
— William Kingdon Clifford
“I am endeavouring in a general way to explain the laws of double refraction on this hypothesis, but have not yet arrived at any results sufficiently decisive to be communicated.”
— William Kingdon Clifford
“Remember, then, that [scientific thought] is the guide of action; that the truth which it arrives at is not that which we can ideally contemplate without error, but that which we may act upon without fear; and you cannot fail to see that scientific thought is not an accompaniment or condition of human progress, but human progress itself. And for this reason the question what its characters are... is the question of all questions for the human race.”
— William Kingdon Clifford
“No mathematician can give any meaning to language about matter, force, inertia, used in text-books of mechanics.”
— William Kingdon Clifford
“Causation is defined by some modern philosophers as unconditional uniformity of succession, e.g., existence of fire follows from putting a lighted match to the fuel.This idea must be got rid of to understand force. All universally true laws of nature are laws of co-existence, not succession. ...In every case the law at work is seen to be a law of co-existence, not succession.”
— William Kingdon Clifford
“may be roughly described as quantity motion. A body moving at a speed of say twenty an hour, has a certain quantity of motion. If the body goes forty miles an hour there is twice as motion; or if twice as much matter goes twenty miles hour, there is also twice as much motion. Momentum is measured by the quantity of matter moving at a rate mass velocity.”
— William Kingdon Clifford
“Force, defined as above, is not conserved at all. It may appear and disappear; it is continually being created and destroyed. "Conservation of force" is, mathematically speaking, a contradiction in terms.”
— William Kingdon Clifford
“Energy [is of two kinds: 1. Energy of motion; 2. Energy of position].”
— William Kingdon Clifford
“General Results.—Force is a quality of position, definite in magnitude and direction at any point; not constant.2. Energy of position, defined by the statement of the law that the work done in getting from one position to another is the same by whatever path the change of position is made.”
— William Kingdon Clifford
“Is a physical force, such as the attraction of earth, analogous to our "exertion of force" in muscular work? No, for the sensation of muscular effort is complicated. It involves nerve and muscle, which we know not to be present in the simpler cases, e.g., the motion of a stone let fall. To talk of pushing or pulling in such a case is a personification of external nature.”
— William Kingdon Clifford
“It is hardly in human nature that a man should quite accurately gauge the limits of his own insight; but it is the duty of those who profit by his work to consider carefully where he may have been carried beyond it. If we must needs embalm his possible errors along with his solid achievements, and use his authority as an excuse for believing what he cannot have known, we make of his goodness an occasion to sin.”
— William Kingdon Clifford
“The goodness and greatness of a man do not justify us in accepting a belief upon the warrant of his authority, unless there are reasonable grounds for supposing that he knew the truth of what he was saying. And there can be no grounds for supposing that a man knows that which we, without ceasing to be men, could not be supposed to verify.”
— William Kingdon Clifford
“Force is not a fact at all, but an idea embodying what is approximately the fact.”
— William Kingdon Clifford