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duction of sounds, evidently because their vacuum was not sufficiently perfecth. Otto von Guericke fell into a like mistake in the use of his newly-constructed air-pump, doubtless from the unsuspected presence of air sufficiently dense to convey the sound of the belli.

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It is hardly requisite to point out that the doctrine of spontaneous generation is due to the unsuspected presence of germs, even after the most careful efforts to exclude them, and in the case of many diseases, both of animals and plants, germs which we have no means as yet of detecting and examining, are doubtless the active cause. has long been a subject of dispute, again, whether the plants which spring up from newly turned land grow from seeds long buried in that land, or from seeds brought by the wind. Argument is unphilosophical when direct trial can readily be applied; for by turning up some old ground, and covering a portion of it with a glass case, the conveyance of seeds by the wind can be entirely prevented, and if the same plants appear within and without the it will become clear that the seeds are in the earth. By gross oversight some experimenters have thought before now that crops of rye had sprung up where oats had been sown1.

case,

Blind or Test Experiments.

Every correct and conclusive experiment necessarily consists in the comparison of results between two different combinations of circumstances. To give a fair probability

h Essayes of Natural Experiments,' &c. Englished by Richard Waller,

P. 50.

i Whewell, History of the Inductive Sciences,' 3rd edition, vol. ii. P. 246.

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k Berkeley's Introduction to Cryptogamic Botany,' pp. 258, 259. 1 Dr. Weissenborn, in the new series of Magazine of Natural History,' vol. i. p. 574, quoted in 'Vestiges of Creation,' 2nd edition, p. 222.

that A is the cause of X, I must maintain invariable all surrounding objects and conditions, and I must then show that where A is X is, and where A is not X is not. Now this cannot really be accomplished in a single trial. If, for instance, a chemist places a certain suspected substance in the Marsh's test apparatus, and finds that it gives a small deposit of metallic arsenic, he cannot be sure that the arsenic really proceeded from the suspected substance; for the impurity of the zinc or sulphuric acid might have been the cause of its appearance. It is therefore the practice of chemists to make what they call a blind experiment, that is to try whether arsenic appears in the absence of the suspected substance. The same precaution ought to be taken in all important analytical operations. Indeed, it is not merely a precaution, it is an essential part of any experiment. If the blind trial be not made, the chemist merely assumes that he knows what would happen. Whenever we assert that because A and X are found together A is the cause of X, we imply and assume that if A were absent X would be absent. But wherever it is possible, we ought clearly not to leave this as a mere assumption, or even as a matter of inference. Experience is ultimately the basis of all our inferences, but if we can with care bring immediate experience to bear upon the point in question we should not trust to anything more remote and liable to error. When Faraday examined the magnetic properties of the bearing apparatus, in the absence of the substance to be experimented on, he really made a blind experiment (see vol. ii. p. 41).

We ought also, whenever we can, to test the sufficiency and accuracy of any method of experiment by introducing known amounts of the substance or force to be detected. Thus a new analytical process for the quantitative estimation of an element should be tested by performing it

upon a mixture compounded so as to contain a known quantity of that element. The accuracy of the gold assay process greatly depends upon the precaution of assaying alloys of gold of exactly known composition m. Gabriel

Plattes' works give evidence of much scientific spirit, and when discussing the supposed merits of the divining rod for the discovery of subterranean treasure, he sensibly suggests that the rod should be tried in places where veins of metal are known to exist, and, we might add, known not to exist n

Negative Results of Experiment.

When we pay proper regard to the imperfection of all measuring instruments and the possible minuteness of effects, we shall see much reason for interpreting with caution the negative results of experiments. We may fail to discover the existence of an expected effect, not because that effect is really non-existent, but because it is of an amount inappreciable to our senses, or confounded with other effects of much greater amount. As in fact there is no limit on à priori grounds to the smallness of a phenomenon, we can never, on the grounds of a single experiment, prove the non-existence of a supposed effect. We are always at liberty to assume that a certain amount of effect might have been detected by greater delicacy of measurement. We cannot safely affirm that the moon has no atmosphere at all. We may doubtless show that the atmosphere, if present, is less dense than the air in the so-called vacuum of an air-pump, as did Du Sejour. It is equally impossible to prove that gravity occupies no time in transmission. Laplace indeed ascertained that the velocity of propagation of the influence was at least fifty

m Watts, 'Dictionary of Chemistry,' vol. ii. pp. 936, 937.
nDiscovery of Subterraneal Treasure,' London, 1639, p. 48.

million times greater than that of light; but it does not really follow that it is instantaneous; and were there any means of detecting the action of one star upon another exceedingly distant star, we might possibly find an appreciable interval occupied in the transmission of the gravitating impulse. Newton could not demonstrate the absence of all resistance to matter moving through space, or the adamantine basis of light; but he ascertained by one of the most beautiful experiments with the pendulum, elsewhere more fully described (vol. ii. p. 55), that if such resistance existed, it was in amount less than one five-thousandth part of the external resistance of the airp.

Innumerable incidents in the history of science tend to show that phenomena, which one generation has failed to detect, may become accurately known to a succeeding generation. The compressibility of water which the Academicians of Florence could not prove, because at a low pressure the effect was too small to perceive, and at a high pressure the water oozed through their silver vessel, has now become the subject of exact measurements and precise calculation. Independently of Newton, Hooke entertained very remarkable notions concerning the nature of gravitation. In this and other subjects he showed, indeed, a genius for experimental investigation which would have placed him in the first rank in any other age than that of Newton. He correctly conceived that the force of gravity would decrease as we receded from the centre of the earth, and he boldly attempted to prove it by experiment. Having exactly counterpoised two weights in the scales of a balance, or rather one weight against another weight and a long piece of fine cord, he removed his

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Laplace, 'System of the World,' transl. by Harte, vol. ii. p. 322.

P 'Principia,' bk. II. sec. 6, Prop. xxxi. Motte's translation, vol. ii. p. 108.

r

Essayes of Natural Experiments,' &c. p. 117.

balance to the top of the Dome of St. Paul's, and tried whether the balance remained in equilibrium after one weight was allowed to hang down to a depth of 240 feet. No difference could be perceived when the weights were at the same and at different levels, but Hooke rightly held that the failure arose from the insufficient difference of height. He says, 'Yet I am apt to think some difference might be discovered in greater heights".' The radius of the earth being about 20,922,000 feet, we can now readily calculate from the known law of gravity that a height of 240 would not make a greater difference than one part in 40,000 of the weight. Such a difference would doubtless be inappreciable in the balances of that day, though it could readily be detected by balances now frequently constructed. Again, the mutual gravitation of bodies at the earth's surface is so small that Newton appears to have made no attempts to demonstrate its existence experimentally, merely remarking that it was too small to fall under the observation of our senses. It has since been successfully detected and measured by Cavendish, Baily and others.

The smallness of the quantities which we can now observe is often very astonishing. A balance will weigh to one millionth part of the load or less. Sir Joseph Whitworth can measure to the one millionth part of an inch. A rise of temperature of the 88ooth part of a degree centigrade has been detected by Dr. Joule. The spectroscope can reveal the presence of the one 180,000,000th part of a grain of soda, and the sense of smell can probably feel the presence of a far less quantity of odorous matter t. We must nevertheless remember that effects of indefinitely

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r Hooke's Posthumous Works,' p. 182.

Principia,' bk. III, Prop. vii. Corollary 1.

t Keill's Introduction to Natural Philosophy.' 3rd ed., London,

1733, pp. 48-54.

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