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"Nor can we fail to notice how frequently the law which men have invented proves to have been already known and used in nature. The mathematician devises a geometric locus or an algebraic formula from a priori considerations, and afterward discovers that he has been unwittingly solving a mechanical problem, or explaining the form of a real phenomenon. Thus, for example, in Peirce's 'Integral Calculus,' published in 1843, is a problem invented and solved purely in the enthusiasm of following the analytic symbols; but in 1863 it proved to be a complete prophetic discussion and solution of the problem of two pendulums suspended from one horizontal cord. Thus also Galileo's discussion of the cycloid proved, long afterward, to be a key to problems concerning the pendulum, falling bodies, and resistance to transverse pressure. Four centuries before Christ, Plato and his scholars were occupied upon the eclipse as a purely geometric speculation, and Socrates seemed inclined to reprove them for their waste of time. But in the seventeenth century after Christ, Kepler discovers that the Architect of the heavens had given us magnificent diagrams of the eclipse in the starry heavens; and, since that time, all the navigation and architecture and engineering of the nineteenth century have been built on these speculations of Plato. Equally remarkable is the history of the idea of extreme and mean ratio. Before the Christian era geometers had invented a process for dividing a line in this ratio, that they might use it in an equally abstract and useless problem – the inscribing a regular pentagon in a circle. But it was not until the middle of the present century that it was discovered that this idea is embodied in nature. It is hinted at in some animal forms, it is very thoroughly and accurately expressed in the angles at which the leaves of plants diverge as they grow from the stem, and it is embodied approximately in the revolutions of the planets about the sun… Now, in all these cases of the embodiment in nature of an idea which men have developed, not by a study of the embodiment, but by an a priori speculation, there seems to us demonstrative evidence that man is made in the image of his Creator; that the thoughts and knowledge of God contain and embrace all possible a priori speculations of men. It is true that God's knowledge is infinite, and beyond our utmost power of conception. But how can we compare the reasonings of Euclid upon extreme and mean ratio with the arrangement of leaves about the stem, and the revolutions of planets around the sun, and not feel that these phenomena of creation express Euclid's idea as exactly as diagrams or Arabic digits could do; and that this idea was, in some form, present in the creation?" – The Natural Foundations of Theology. By T. Hill, D.D., LL.D.

There is an ingenious and judicious little work by Charles Girdlestone, M.A., published in 1875, and entitled 'Number: a Link between Divine Intelligence and Human. An Argument.'

Note XIV., page 140Astronomy and the Design Argument

The design argument has always drawn some of its data from astronomy. The order and beauty of the heavenly bodies, the alternation of day and night, the succession of the seasons, and the dependence of living creatures on these changes, are referred to as indications of God's character and agency in many passages of Scripture. Thus, to select only from the Psalms: "When I consider Thy heavens, the work of Thy fingers, the moon and the stars, which Thou hast ordained; what is man, that Thou art mindful of him? and the son of man, that Thou visitest him?" – viii. 3, 4. "The heavens declare the glory of God; and the firmament showeth His handiwork. Day unto day uttereth speech, and night unto night showeth knowledge." – xix. 1, 2. "He appointed the moon for seasons; the sun knoweth his going down. Thou makest darkness, and it is night: wherein all the beasts of the forest do creep forth… The sun ariseth, they gather themselves together, and lay them down in their dens. Man goeth forth unto his work and to his labour until the evening. O Lord, how manifold are Thy works! in wisdom hast Thou made them all." – civ. 19-24. Among classical writers, Cicero has presented the design argument as founded on the arrangements and movements of the heavenly bodies in a very striking manner, when, referring to the instrument by which Posidonius had ingeniously represented them, he asks whether, if that instrument were carried into Scythia or Britain, any even of the barbarians of these lands would doubt that it was the product of reason, and rebukes those who would regard the wondrous system of which it was a feeble copy as the effect of chance. "Quod si in Scythiam aut in Britanniam, sphæram aliquis tulerit hanc, quam nuper familiaris noster effecit Posidonius, cujus singulæ conversiones idem efficiunt in sole, et in lunâ, et in quinque stellis errantibus, quod efficitur in cœlo singulis diebus et noctibus: quis in illâ barbarie dubitet, quin ea sphæra sit perfecta ratione? Hi autem dubitant de mundo, ex quo et oriuntur et fiunt omnia, casune ipse sit effectus, aut necessitate aliquâ, an ratione ac mente divinâ: et Archimedem arbitrantur plus valuisse in imitandis sphæræ conversionibus, quam naturam in efficiendis, præsertim cum multis partibus sint illa perfecta, quam hæc simulata, sollertius." – De Nat. Deorum, ii. 34, 35. The 'Astro-Theology' of Wm. Derham, published in 1714, was perhaps the first work entirely devoted to the illustration of the design argument from astronomical facts and theories. Among comparatively recent works of a similar kind I may mention Vince's 'Confutation of Atheism from the Laws and Constitution of the Heavenly Bodies,' Whewell's 'Bridgewater Treatise,' Dick's 'Celestial Scenery,' Mitchell's 'Planetary and Stellar Worlds,' and Leitch's 'God's Glory in the Heavens.' They afford ample evidence of the erroneousness of Comte's assertion that "the opposition of science to theology is more obvious in astronomy than anywhere else, and that no other science has given more terrible shocks to the doctrine of final causes." Kepler did not think so, for he concludes his work on the 'Harmony of Worlds' with these devout words: "I thank Thee, my Creator and Lord, that Thou hast given me this joy in Thy creation, this delight in the works of Thy hands. I have shown the excellency of Thy work unto men, so far as my finite mind was able to comprehend Thine infinity. If I have said aught unworthy of Thee, or aught in which I may have sought my own glory, graciously forgive it." Nor did Newton, for he wrote: "Elegantissima hæcce compages solis, planetarum, et cometarum (et stellarum), non nisi consilio et dominio Entis cujusdam potentis et intelligentis oriri potuit." And in our own times such men as Herschel, Brewster, Mädler, &c., have protested against the notion that astronomy tends to atheism.

The late Professor De Morgan demonstrated in his 'Essay on Probability,' when only eleven planets were known, that the odds against chance, to which in such a case intelligence is the only alternative, being the cause of all these bodies moving in one direction round the sun, with an inconsiderable inclination of the planes of their orbits, were twenty thousand millions to one. "What prospect," are his own words, "would there have been of such a concurrence of circumstances, if a state of chance had been the only antecedent? With regard to the sameness of the directions, either of which might have been from west to east, or from east to west, the case is precisely similar to the following: There is a lottery containing black and white balls, from each drawing of which it is as likely a black ball shall arise as a white one: what is the chance of drawing eleven balls all white? – answer 2047 to one against it. With regard to the other question, our position is this: There is a lottery containing an infinite number of counters, marked with all possible different angles less than a right angle, in such a manner that any angle is as likely to be drawn as another, so that in ten drawings the sum of the angles drawn may be anything under ten right angles: now, what is the chance of ten drawings giving collectively less than one right angle? – answer 10,000,000 to one against it. Now, what is the chance of both these events coming together? – answer, more than 20,000,000,000 to one against it. It is consequently of the same degree of probability that there has been something at work which is not chance in the formation of the solar system."

There are several departments of science as much, or even more, adapted than astronomy, to furnish proofs of the wisdom of God; but there is none which affords us such evidence of His power, or so helps us to realise His omnipresence, our own nothingness before Him, and the littleness of our earth in the system of His creation. Those who wish to have impressions of this kind deepened may be recommended to read the works of Proctor and Flammarion.

What is said in the paragraph to which this note refers must not be so understood as to be in consistent with the possibility or probability, if not demonstrated certainty, that the universe is not a perfectly conservative system, but one which is tending surely although slowly to the destruction of the present condition of things. This fact, if it be a fact, can no more affect the design argument in its relation to astronomy, than the decay of plants and the death of animals can affect it in relation to vegetable and animal physiology.

Note XV., page 143Chemistry and the Design Argument

The history of chemistry is of itself sufficient to disprove the view of Comte that the initial and conjectural stages of a science are those in which it affords most support to theology. It was only after the definitive constitution of chemistry as a science, only after the discovery of positive and precise chemical laws, that the teleological argument for the Divine existence began to be rested to a certain extent upon it.

The Honourable Robert Boyle, the founder of the Boyle Lectureship, was one of the most distinguished chemists of his age, a zealous defender of final causes, and the author of several treatises intended to diffuse worthy views and sentiments as to the character and operations of the Creator.

Probably the two best English treatises on the relationship of chemistry to theism are the Bridgewater Treatise of Dr Prout, 'Chemistry, Meteorology, and the Function of Digestion, considered with reference to Natural Theology' (3d ed., 1845), and the Actonian Prize Essay of Professor Fownes, 'Chemistry as exemplifying the Wisdom and Beneficence of God' (1844). Both writers were chemists of high reputation, but they were not very conversant with theology or philosophy, and have, in consequence, by no means fully utilised the excellent scientific materials which they collected.

This makes it all the more to be regretted that the late Professor George Wilson was not permitted to accomplish his design of writing "a book corresponding to the 'Religio Medici' of Sir Thomas Browne, with the title 'Religio Chemici.'" Among the fragments comprised in the work published under that title after his death, three essays – "Chemistry and Natural Theology," "The Chemistry of the Stars," and "Chemical Final Causes" – are most interesting and suggestive.

The attempts of writers like Moleschott and Büchner to draw atheistic inferences from the theories or hypotheses of modern chemistry have given rise to a multitude of answers, but it may be sufficient to refer to the 'Antimaterialismus' of Dr L. Weiss. Liebig in his 'Chemical Letters' manifests profound contempt for the materialistic and anti-theistic speculations attempted to be based on the science of which he was so illustrious a master.

Note XVI., page 145Geology, Geography, etc., and the Design Argument

The single fact that geology proves that every genus and species of organic forms which exist or have existed on the earth had a definite beginning in time, gives to this science great importance in reference to theism. It decides at once and conclusively what metaphysics might have discussed without result for ages. Its religious bearings are exhibited in Buckland's 'Geology and Mineralogy considered in reference to Natural Theology,' Hugh Miller's 'Footprints of the Creator,' Hitchcock's 'Religion of Geology,' and many other works. Lyell concludes both his 'Elements of Geology' and 'Principles of Geology' by affirming that geological research finds in all directions the clearest indications of creative intelligence; that "as we increase our knowledge of the inexhaustible variety displayed in nature, and admire the infinite wisdom and power which it manifests, our admiration is multiplied by the reflection, that it is only the last of a great series of pre-existing creations, of which we cannot estimate the number or limit in times past."

The numerous adaptations which exist between the terrestrial and celestial economies are dwelt on in detail by M'Culloch in the second volume of his 'Proofs and Illustrations of the Attributes of God from the Facts and Laws of the Physical Universe,' and by Buchanan in 'Faith in God and Modern Atheism,' vol. i. pp. 132-156. These two authors have also treated of the adaptations subsisting between the organic and inorganic worlds. The Bridgewater Treatise of Chalmers was on 'The Adaptation of External Nature to the Moral and Intellectual Constitution of Man;' and that of Kidd, on 'The Adaptation of External Nature to the Physical Constitution of Man.'

In Ritter's 'Geographical Studies,' Guyot's 'Earth and Man,' Kapp's 'Allgemeine Erdkunde,' Lotze's 'Mikrokosmus,' B. vi. c. 1, Duval's 'Des Rapports entre la Géographie et l'Economie Politique,' Cocker's 'Theistic Conception of the World,' ch. vii., &c., will be found a rich store of teleological data as to the fitness of the earth to be the dwelling-place and the schoolhouse of human beings. Of course, those who attempt to prove this thesis require carefully to resist the temptation to conceive of the relation of nature to man as not one of cause and effect, of action and reaction, of mutual influence, but as an immediate and inexplicable pre-established harmony like that which Leibnitz supposed to exist between the body and the soul. This was the theory which Cousin set forth in a celebrated lecture on the part of geography in history. Regarding it I may quote the words which I have used elsewhere: "This notion is not only purely conjectural, but inconsistent with the innumerable facts which manifest that nature does influence man, and that man does modify nature. It is impossible to hold, either in regard to the body and soul, or in regard to nature and man, both the theory of mutual influence and of pre-established harmony. All that, in either case, proves the former, disproves the latter. The belief in a pre-established harmony between man and nature is, indeed, considerably more absurd than in a pre-established harmony between the body and soul; for when a body is born, a soul is in it, which remains in it till death, and is never known to leave it in order to take possession of some other body: but every country is not created with a people in it, nor is every people permanently fixed to a particular country. Imagination may be deceived for a moment by an obvious process of association into this belief of certain peoples being suited for certain lands, independently of the action of natural causes – the Greeks, let us say, for Greece, the Indian for the prairies and forests of America, the Malayan for the islands of the Indian Archipelago; but a moment's thought on the fact that the Turk has settled down where the Greeks used to be – that mighty nations of English-speaking men are rising up where the Indian roamed, and that Dutchmen are thriving in the lands of the Malayan, should suffice to disabuse us. Besides, just as the dictum, 'Marriages are made in heaven,' is seriously discredited by the great number that are badly made, so the kindred opinion that every country gets the people which suits it, and every people the country, as a direct and immediate consequence of their pre-established harmony, is equally discredited by the prevalence of ill-assorted unions, a great many worthless peoples living in magnificent lands, while far better peoples have much worse ones." – Philosophy of History in France and Germany, pp. 191, 192.

Note XVII., page 146The Organic Kingdom and Design

The order and system in the vegetable and animal kingdoms are undeniable general facts, whatever may have been the secondary agencies by which they have been produced; and the inference of design from these facts is valid, whatever may have been the mode of their production. The characters and relationships of organic forms constitute a proof of intelligence, whether their genera and species be the immediate and immutable expressions of the ideas of the Divine Mind, or the slowly-reached results of evolution. Of course, if there has been a process of evolution, it must have been one exactly fitted to attain the result. But the discovery or exhibition of such a process will be sufficient to cause a certain class of minds to believe that there has been no cause but the process – that the process completely explains both itself and the result, and leaves no room for intelligence.

The character of the order and system in the organic world is so extremely abstruse, subtle, and comprehensive, that all the attempts at classification in botany prior to De Candolle, and in zoology prior to Cuvier, were failures. The labours of the great naturalists and biologists of the present century have, doubtless, accomplished much; but the light reached is still but the feeble light of an early dawn. Yet that light is most pleasant and satisfying to the eye of the mind. The reason sees in it a profound significance and a wonderful beauty. How, it may well be asked, can a scheme of order which tasks to such an extent the powers of comprehension possessed by the human mind, and yet which is perceived, when discovered, to be admirably rational, be supposed to have originated elsewhere than in a Mind?

I can only mention a few out of the multitude of books which treat of design in the organic world. Among general works on natural theology it may be sufficient to refer to those of Paley, Buchanan, and Tulloch; and among special works to Professor Balfour's 'Phyto-Theology; or, Botanical Sketches, intended to illustrate the Works of God in the Structure, Functions, and General Distribution of Plants;' M'Cosh's 'Typical Forms and Special Ends in Creation;' Agassiz's 'Structure of Animal Life; being Six Lectures on the Power, Wisdom, and Goodness of God, as manifested in His Works;' Kirby's 'Power, Wisdom, and Goodness of God, as manifested in the Creation of Animals;' Roget's 'Animal and Vegetable Physiology, considered in reference to Natural Theology;' and Sir Charles Bell's 'The Hand, its Mechanism and Vital Endowments, as evincing Design.' The three last-mentioned works are Bridgewater Treatises.

It is a duty to call particular attention to the recent work of M. Janet, 'Les Causes Finales.' Although M. Janet concedes, perhaps, too much to the opponents of finality, his treatise contains the ablest and most adequate discussion of the various problems suggested by the indications which organic nature gives of design that has yet appeared. It is eminently worthy of a careful study. I am glad to know that a translation of this valuable work is in progress.

Among the masters of biological science, Cuvier, V. Baer, Agassiz, and R. Owen may be named, as among those who have set the highest value on the principle of finality. The essay on Classification of Agassiz, and the various essays which Von Baer has published at different times, on what he calls "Zielstrebigkeit," are specially important.

Note XVIII., page 148Evidences of Design in Organisms

"The savants are generally too much disposed to confound the doctrine of final cause with the hypothesis of an invisible force acting without physical means, as a deus ex machinâ. These two hypotheses, far from reducing themselves the one to the other, are in explicit contradiction; for he who says design says at the same time means, and, consequently, causes adapted to produce a certain effect. To discover this cause is by no means to destroy the idea of design; it is, on the contrary, to bring to light the condition, sine quâ non, of the production of the end. To make clear this distinction we cite a beautiful example, borrowed from M. Claude Bernard. How does it happen, says this eminent physiologist, that the gastric juice, which dissolves all aliments, does not dissolve the stomach itself, which is of precisely the same nature as the aliments with which it is nourished? For a long time the vital force was supposed to intervene – that is to say, an invisible cause which, in some way, suspended the properties of the natural agents, to prevent their producing their necessary effects. The vital force would, by a sort of moral veto, forbid the gastric juice to touch the stomach. We see that this would be a real miracle. Everything is explained when we know that the stomach is lined with a coating or varnish which is not attacked by the gastric juice, and which protects the walls which it covers. Who does not see that in refuting the omnipotence of the vital force, very far from having weakened the principle of finality, we have given to it a wonderful support? What could the most perfect art have done to protect the walls of the stomach, but invent a precaution similar to that which exists in reality? And how surprising it is that an organ destined to secrete and use an agent most destructive to itself, is found armed with a protective tunic, which must have always coexisted with it, since otherwise it would have been destroyed before having had time to procure for itself this defence – which excludes the hypothesis of long gropings and happy occurrences." – Janet, 'Final Causes and Contemporaneous Physiology,' Presb. Quart. Rev., April 1876.

Professor Tyndall gives a very graphic description of the combination of remarkable arrangements by which the human ear is fitted to be an organ of hearing. I quote from it the following words, and connect with them some striking observations of Max Müller. "Finally, there is in the labyrinth a wonderful organ, discovered by the Marchese Corti, which is to all appearance a musical instrument, with its chords so stretched as to accept vibrations of different periods, and transmit them to the nerve-filaments which traverse the organ. Within the ears of men, and without their knowledge or contrivance, this lute of 3000 strings has existed for ages, accepting the music of the outer world, and rendering it fit for reception by the brain. Each musical tremor which falls upon this organ selects from its tensioned fibres the one appropriate to its own pitch, and throws that fibre into unisonant vibration. And thus, no matter how complicated the motion of the external air may be, those microscopic strings can analyse it and reveal the constituents of which it is composed." – On Sound, p. 325. "What we hear when listening to a chorus or a symphony is a commotion of elastic air, of which the wildest sea would give a very inadequate image. The lowest tone which the ear perceives is due to about 30 vibrations in one second, the highest to about 4000. Consider, then, what happens in a presto, when thousands of voices and instruments are simultaneously producing waves of air, each wave crossing the other, not only like the surface waves of the water, but like spherical bodies, and, as it would seem, without any perceptible disturbance; consider that each tone is accompanied by secondary notes, that each instrument has its peculiar timbre, due to secondary vibrations; and, lastly, let us remember that all this cross-fire of waves, all this whirlpool of sound, is moderated by laws which determine what we call harmony, and by certain traditions or habits which determine what we call melody – both these elements being absent in the songs of birds – that all this must be reflected like a microscopic photograph on the two small organs of hearing, and there excite not only perception, but perception followed by a new feeling even more mysterious, which we call either pleasure or pain; – and it will be clear that we are surrounded on all sides by miracles transcending all we are accustomed to call miraculous." – Science of Language, second series, p. 115.

The structure of the eye has often been described as an evidence of design. There is an extremely interesting comparison of it with the photographic camera in Le Conte's 'Religion and Science,' pp. 20-33.

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