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He was a man of grave and cultivated mind, of rapid and mature intelligence; inferior to no preceding astronomer, unless in order of succession and time ; a man, who in natural ability was far superior to Ptolemy, Hipparchus, Eudoxus, and all those others who followed in their footsteps. What he was, he became through having liberated himself from certain false axioms of the common and vulgar philosophy — I will not say blindness. Nevertheless, he did not depart far from them ; because, studying mathematics rather than Nature, he failed to penetrate and dig deep enough altogether to cut away the roots of incongruous and vain principles, and thus, removing perfectly all opposing difficulties, free himself and others from so many empty investigations into things obvious and unchangeable. In spite of all this, who can sufficiently praise the magnanimity of this German, who, having little regard to the foolish multitude, stood firm against the torrent of contrary opinion, and, although well-nigh unarmed with living arguments, resuming those rusty and neglected fragments which antiquity had transmitted to him, polished, repaired, and put them together with reasonings more mathematical than philosophical ; and so rendered that cause formerly contemned and contemptible, honourable, estimable, more probable than its rival, and certainly convenient and expeditious for purposes of theory and calculation? Thus this Teuton, although with means insufficient to vanquish, overthrow, and suppress falsehood, as well as resist it, nevertheless resolutely determined in his own mind, and openly confessed this final and necessary conclusion : that it is more possible that this globe should move with regard to the universe, than that the innumerable multitude of bodies, many of which are known to be greater and more magnificent than our earth, should be compelled, in spite of Nature and reason, which, by means of motions evident to the senses, proclaim the contrary, to acknowledge this globe as the centre and base of their revolutions and influences. Who then will be so churlish and discourteous towards the efforts of this man, as to cover with oblivion all he has done, by being ordained of the Gods as an Aurora — which was to precede the rising of this Sun of the true, ancient philosophy, buried during so many centuries in the tenebrous caverns of blind, malignant, froward, envious ignorance; and, taking note only of what he failed to accomplish, rank him amongst the number of the herded multitude, which discourses, guides itself, precipitates to destruction, according to the oral sense of a brutal and ignoble belief, rather than amongst those who, by the use of right reason, have been able to rise up, and resume the true course under the faithful guidance of the eye of divine intelligence.
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If in this book harsh words are spoken about some of the greatest among the intellectual leaders of mankind, my motive is not, I hope, the wish to belittle them. It springs rather from my conviction that, if our civilization is to survive, we must break with the habit of deference to great men. Great men may make great mistakes; and as the book tries to show, some of the greatest leaders of the past supported the perennial attack on freedom and reason. Their influence, too rarely challenged, continues to mislead those on whose defence civilization depends, and to divide them. The responsibility of this tragic and possibly fatal division becomes ours if we hesitate to be outspoken in our criticism of what admittedly is a part of our intellectual heritage. By reluctance to criticize some of it, we may help to destroy it all.
The outstanding personalities of Euclid and Archimedes demand chapters to themselves. Euclid, the author of the incomparable Elements, wrote on almost all the other branches of mathematics known in his day. Archimedes's work, all original and set forth in treatises which are models of scientific exposition, perfect in form and style, was even wider in its range of subjects. The imperishable and unique monuments of the genius of these two men must be detached from their surroundings and seen as a whole if we would appreciate to the full the pre-eminent place which they occupy, and will hold for all time, in the history of science.
It is a defect in the existing histories that, while they state generally the contents of, and the main propositions proved in, the great treatises of Archimedes and Apollonius, they make little attempt to describe the procedure by which the results are obtained. I have therefore taken pains, in the most significant cases, to show the course of the argument in sufficient detail to enable a competent mathematician to grasp the method used and to apply it, if he will, to other similar investigations.
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He visited India to meet its wise men. He met one Iarchus and was deeply satisfied. The latter asked him: "What knowledge do you think we have that you lack?" Apollonious replied: "It is my opinion that your ways are wiser and much more godly. But if I were to find among you nothing that I do not know, I would also have learned that there is nothing further for me to learn." Iarchus told him: "You, our visitor, have (already) a share of this wisdom, but yet not all of it." Then the teaching began but what it was and about its nature nothing is said. The biographer, however, relates many anecdotes and throws interesting sidelights. He tells us that in their very first meeting, Iarchus told Apollonius everything about him, his ancestry on his father's and mother's side, his journey and the people he met and talks he had with them. Apollonius was amazed. Iarchus also told him about Apollonius' nature and said: "We discern every kind of soul, and have countless clues to discover them." "Ask me whatever you like, since you have come among men who know everything," said the chief of the Indian wise men to his distinguished visitor. He in turn asked the Indians if they knew themselves, expecting them to be like the Greeks in thinking it is difficult to know oneself. But to his surprise, Iarchus replied: "We know everything because we begin by knowing ourselves. None of us would approach our kind of philosophy without knowing himself first." Apollonius had no difficulty in accepting this statement for it was also his own belief. He asked Iarchus what they thought they were, and the latter replied: "Gods." And why? "Because we are good men," Iarchus said (p. 80). Later on in his life when he used this doctrine before the Emperor of Rome when he was being tried for instigating treason, he also told him that Iarchus and Phraotes, the two Indians, "are the only humans whom I consider Gods and worthy of being called so".
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