[Footnote 5: Statistics only define--and primarily for the imagination--the general laws and principles on which they rest. The clear-cut mathematical form strikes and 'catches on,' where a more universal statement sounds vague and glides off. Hence, as one says, they may prove _anything._ The fact is, they prove _nothing._ They only illustrate in diagrammatic form the theory which presided at their collection. To emphasise the fundamental nature of ethics for human development you need only say that conduct is three-fourths or (as to some minds the precision rises with the denominator of the fraction 17/20) of human life.] [Footnote 6: The resolute misinterpretation--as it often seems--of the maxim that like is known by like,--is a curious chapter in the history of Logic. All knowledge is based upon,--or, to speak more simply, _is_--the identity of differents: of differents, which in knowledge are identified,--of identity which in knowledge is put under difference. And yet the ordinary meaningless talk on this matter seems to assimilate knower and known to two separate things (or persons), who casually and, we may add, inexplicably know each other: which is mythology, perhaps, but not epistemology.] [Footnote 7: Bacon: 'In Praise of Knowledge' (a mere leaflet of much significance towards estimating his true grandeur). On the _Conjugium_ of _Mens_ and _Universus_ see _Novum Organum_, distrib. op.] [Footnote 8: The said _mere_ same is not really the same at all. Nobody in his senses predicates sameness except where he also sees differences: or, the term always implies relation.] CHAPTER XVIII. THE RANGE OF PERSONALITY.