XVI CONTENTS OF VOL. II. 



— Mathematics is deductive, chemistry mostly inductive : the science of heat 

 is both — The logical relations of a science are not always obvious at first — A 

 science may originate independently, and usually has done so— What the early 

 origin of a science depends on — Mathematics — Geometry and algebra — Clie- 

 mistiy — Sciences of observation are easier than those of experiment — Morpho- 

 logy — Science began at the point most remote fi-om human life, and was conse- 

 quently deemed useless : and still its moving power is not usefulness, but 

 intellectual interest — The telegraph — All inorganic science depends on measure- 

 ments of space. 

 Note: — Measurement of linear spaces: of velocity: of time: of force: of re- 

 .sistauce : of energy Pp. 221—227 



CHAPTER XLV. 



EEMARKS ON THE LOGIC OF THE SCIENCES. 



The more special and complex is the subject of a science, the less is mathematics 

 applicable to it — In connexion with this, the facts of life are in some degi-ee 

 indefinite — This does not imply any uncertainty — The same is true of morals — 

 Certainty without precision — Four fallacies and their origin : that logic is an 

 organon of discovery : that mathematics is the type of science : that clearness 

 and intelligibleness are tests of truth : that precision is the criterion of cer- 

 tainty — Extension of the use of the word science — Double method in science — 

 Induction and deduction must co-operate — Theory and observation — Failure of 

 each alone — Paracelsus — Meteorology — Historical science : its method is the 

 same as that of jihysical science — Free trade — In what sense mathematics needs 

 verification — Conclusion Pp. 228 — 2-34 



APPENDIX. 



Three questions : Is life an ultimate fact ? — Are organizing and mental intelli- 

 gence ultimate facts ? — Is the moral sense an ultimate fact ? — I answer all 

 in the affii-mative — Moral sense — Intelligence — Life — Quotation from Huxley — • 

 My reply to it Pp. 235—240 



ERRATUM. 



p. 50, note, Sot Leilie renrf Liebe. 



