[2] The distinction, it will be observed, lies between the method of mathematical physics and that of physics which has learned something from the researches of electricity or chemistry. If the method or principles of chemistry are thus said to be reduced to those of physics, this is because the conceptions of physics have been revolutionised from the side of chemistry, &c., and even of biology. This tendency of modern science is precisely in the line indicated by Schelling and Hegel.
[3] Problems of Life and Mind, iii. p. 58.
[4] Eth. vii. 7 ὁ νοῡς ἀρχὴ: 6. 6 νοῡς ἐστι τῶν ἀρχῶν.
[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.
[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.
[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.
[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.