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in the history； not merely of medicine； but of science； that three such unconnected and astonishing discoveries； each of them a complete revolution of all that ages of the most varied experience had been taught to believe； should spring full formed from the brain of a single individual。
Let us look a moment at the first of his doctrines。 Improbable though it may seem to some； there is no essential absurdity involved in the proposition that diseases yield to remedies capable of producing like symptoms。 There are； on the other hand； some analogies which lend a degree of plausibility to the statement。 There are well…ascertained facts； known from the earliest periods of medicine； showing that； under certain circumstances； the very medicine which； from its known effects； one would expect to aggravate the disease； may contribute to its relief。 I may be permitted to allude； in the most general way； to the case in which the spontaneous efforts of an overtasked stomach are quieted by the agency of a drug which that organ refuses to entertain upon any terms。 But that every cure ever performed by medicine should have been founded upon this principle； although without the knowledge of a physician； that the Homoeopathic axiom is； as Hahnemann asserts； 〃the sole law of nature in therapeutics；〃 a law of which nothing more than a transient glimpse ever presented itself to the innumerable host of medical observers； is a dogma of such sweeping extent； and pregnant novelty； that it demands a corresponding breadth and depth of unquestionable facts to cover its vast pretensions。
So much ridicule has been thrown upon the pretended powers of the minute doses that I shall only touch upon this point for the purpose of conveying； by illustrations； some shadow of ideas far transcending the powers of the imagination to realize。 It must be remembered that these comparisons are not matters susceptible of dispute； being founded on simple arithmetical computations； level to the capacity of any intelligent schoolboy。 A person who once wrote a very small pamphlet made some show of objecting to calculations of thus kind； on the ground that the highest dilutions could easily be made with a few ounces of alcohol。 But he should have remembered that at every successive dilution he lays aside or throws away ninety…nine hundredths of the fluid on which he is operating； and that； although he begins with a drop； he only prepares a millionth； billionth； trillionth； and similar fractions of it； all of which； added together； would constitute but a vastly minute portion of the drop with which he began。 But now let us suppose we take one single drop of the Tincture of Camomile； and that the whole of this were to be carried through the common series of dilutions。
A calculation nearly like the following was made by Dr。 Panvini； and may be readily followed in its essential particulars by any one who chooses。
For the first dilution it would take 100 drops of alcohol。
For the second dilution it would take 10；000 drops； or about a pint。
For the third dilution it would take 100 pints。
For the fourth dilution it would take 10；000 pints； or more than 1；000 gallons； and so on to the ninth dilution； which would take ten billion gallons； which he computed would fill the basin of Lake Agnano； a body of water two miles in circumference。 The twelfth dilution would of course fill a million such lakes。 By the time the seventeenth degree of dilution should be reached； the alcohol required would equal in quantity the waters of ten thousand Adriatic seas。 Trifling errors must be expected； but they are as likely to be on one side as the other； and any little matter like Lake Superior or the Caspian would be but a drop in the bucket。
Swallowers of globules； one of your little pellets； moistened in the mingled waves of one million lakes of alcohol； each two miles in circumference； with which had been blended that one drop of Tincture of Camomile； would be of precisely the strength recommended for that medicine in your favorite Jahr's Manual； against the most sudden； frightful； and fatal diseases！〃 ＇In the French edition of 1834； the proper doses of the medicines are mentioned； and Camomile is marked IV。 Why are the doses omitted in Hull's Translation； except in three instances out of the whole two hundred remedies； notwithstanding the promise in the preface that 〃some remarks upon the doses used may be found at the head of each medicine〃？ Possibly because it makes no difference whether they are employed in one Homoeopathic dose or another； but then it is very singular that such precise directions were formerly given in the same work； and that Hahnemann's 〃experience〃 should have led him to draw the nice distinctions we have seen in a former part of this Lecture （p。 44）。＇
And proceeding on the common data； I have just made a calculation which shows that this single drop of Tincture of Camomile； given in the quantity ordered by Jahr's Manual； would have supplied every individual of the whole human family； past and present； with more than five billion doses each； the action of each dose lasting about four days。
Yet this is given only at the quadrillionth； or fourth degree of potency； and various substances are frequently administered at the decillionth or tenth degree； and occasionally at still higher attenuations with professed medicinal results。 Is there not in this as great an exception to all the hitherto received laws of nature as in the miracle of the loaves and fishes？ Ask this question of a Homoeopathist； and he will answer by referring to the effects produced by a very minute portion of vaccine matter； or the extraordinary diffusion of odors。 But the vaccine matter is one of those substances called morbid poisons； of which it is a peculiar character to multiply themselves； when introduced into the system； as a seed does in the soil。 Therefore the hundredth part of a grain of the vaccine matter； if no more than this is employed； soon increases in quantity； until； in the course of about a week； it is a grain or more； and can be removed in considerable drops。 And what is a very curious illustration of Homoeopathy； it does not produce its most。 characteristic effects until it is already in sufficient quantity not merely to be visible； but to be collected for further use。 The thoughtlessness which can allow an inference to be extended from a product of disease possessing this susceptibility of multiplication when conveyed into the living body； to substances of inorganic origin； such as silex or sulphur； would be capable of arguing that a pebble may produce a mountain； because an acorn can become a forest。
As to the analogy to be found between the alleged action of the infinitely attenuated doses； and the effects of some odorous substances which possess the extraordinary power of diffusing their imponderable emanations through a very wide space； however it may be abused in argument； and rapidly as it evaporates on examination； it is not like that just mentioned； wholly without meaning。 The fact of the vast diffusion of some odors； as that of musk or the rose； for instance； has long been cited as the most remarkable illustration of the divisibility of matter； and the nicety of the senses。 And if this were compared with the effects of a very minute dose of morphia on the whole system； or the sudden and fatal impression of a single drop of prussic acid； or； with what comes still nearer； the poisonous influence of an atmosphere impregnated with invisible malaria； we should find in each of these examples an evidence of the degree to which nature； in some few instances； concentrates powerful qualities in minute or subtile forms of matter。 But if a man comes to me with a pestle and mortar in his hand； and tells me that he will take a little speck of some substance which nobody ever thought to have any smell at all； as； for instance； a grain of chalk or of charcoal； and that he will； after an hour or two of rubbing and scraping； develop in a portion of it an odor which； if the whole grain were used； would be capable of pervading an apartment； a house； a village； a province； an empire； nay； the entire atmosphere of this broad planet upon which we tread； and