The majority of mathematicians have followed Schoenflies rather than Poincaré, and have thus adopted tactics rather like those of the March Hare and the Gryphon,[110] who promptly changed the subject when Alice raised awkward questions. Indeed, the process of the first of these creatures of a child's dream is rather preferable to that of Schoenflies. The March Hare refused to discuss the subject because he was bored when difficulties arose. Schoenflies would not say that he was bored--he professed interest in philosophical matters, but simply called the logical continuation of a subject by another name when he did not wish to discuss the continuation, and thus implied that he had discussed the whole subject. Further, Schoenflies would not apparently admit that the one method of logic could be applied to the solution of both mathematical and philosophical problems, in so far as these problems are soluble at all; but the March Hare, shortly before the remark we have just quoted, rightly showed great astonishment that butter did not help to cure both hunger and watches that would not go.[111] The judgment of Schoenflies by which certain apparently mathematical questions were condemned as "philosophical," rested on grounds as flimsy as those in the Dreyfus Case, or the Trial in _Wonderland_.[112] FOOTNOTES: [98] Chapters VII and XXXVI. [99] _Die Entwickelung der Lehre von den Punktmannigfaltigkeiten._ Bericht, erstattet der deutschen Mathematiker-Vereinigung, Leipzig, 1908. [100] _Ibid._, p. 7. The battle-cry is: "_Gegen jede Resignation, aber auch gegen jede Scholastik!_" [101] "Ueber die Stellung der Definition in der Axiomatik," _Jahresber, der deutsch. Math.-Ver._, vol. xx., 1911, pp. 222-5. The battle-cry is on p. 256 and is: "Für den Cantorismus aber gegen den Russellismus!" [102] _Ibid._, p. 251. "Es ist also," he exclaims with the eloquence of emotion and the emotion of eloquence, "nicht die Geringschätzung der Philosophie, die mich dabei treibt, sondern die Liebe zur Mathematik;..." [103] "Ueber die Stellung der Definition in der Axiomatik," _Jahresber, der deutsch. Math.-Ver._, vol. xx., 1911, p. 251. [104] [Cf. for this, _M._, vol. xxii., January 1912, pp. 149-58.--ED.] [105] _Bericht_, 1908, p. 76, note; cf. p. 72. [106] E.g. in F. Hausdorff's review of Russell's _Principles_ of 1903 in the _Vierteljahrsschr. für wiss. Philos. und Soziologie_. [107] [Cf. _M._, vol. xxv., 1915, pp. 333-8.--ED.] [108] Russell, _A. J. M._, vol. xxx., 1908, p. 226. [109] _Loc. cit._, p. 222. [110] See Appendix Q. [111] See Appendix R. [112] See Appendix S. CHAPTER XXXVIII MODERN LOGIC AND SOME PHILOSOPHICAL ARGUMENTS