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The 'objections, as he puts it, are only 'difficulties'; they make it hard to understand the theory, but are no more reasons for rejecting it than would be the difficulty which a non-mathematical mind finds in understanding the differential calculus for rejecting 'Taylor's theorem. And, so far, the difference is rather in the process than the conclusion.
Legros 2. Neghn Esther 3. Foqdem Henrietta 4. Higiegmsd Cheuvreux 5. Dievoreq Doremond 6. Epjerod Chevalon 7. Cheval Allouand 8. Iko Here the non-mathematical reader will exclaim: 'Total failure, except in case 7! And, about that case, he will have his private doubts. But, arguing mathematically, M. Richet proves that the table was right, beyond the limits of mere chance, by fourteen to two.
Of the sciences it behooves one to speak circumspectly, and undoubtedly mathematics and physics, at least, demand such close attention and such firm reasoning as to render them an essential part of any disciplinary education. But there are good grounds for being sceptical of the effect of the non-mathematical sciences on the immature mind.
This may sound obscure to the uninitiated, and it is true that the plane projection of some of the regular hyper-solids are staggeringly intricate affairs, but the author is so sure that this matter lies so well within the compass of the average non-mathematical mind that he is willing to put his confidence to a practical test.
It is impossible to state this accurately in non-mathematical language; the nearest approach would be as follows: "There is a constant relation between the state of the universe at any instant and the rate of change in the rate at which any part of the universe is changing at that instant, and this relation is many-one, i.e. such that the rate of change in the rate of change is determinate when the state of the universe is given."
Clerk Maxwell has recently published an exceedingly important investigation connected with this question. Even in the non-mathematical portions of the memoirs of Mr. Maxwell, the admirable spirit of his philosophy is sufficiently revealed. As regards the employment of scientific imagery, I hardly know his equal in power of conception and clearness of definition.
Should one be walking with another boy when passing "Tosher," he was almost certain to say, "You know that Tosher holds the record for broad jumps. Twenty-two and a half feet; he must be an awfully decent chap!" Tosswill had the knack of devising ingenious punishments. I was "up" to him for mathematics, and, with my hopelessly non-mathematical mind, I must have been a great trial to him.
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