[7] Onfurtherconsideringthematter, however, itwillperhapsbefeltthatthisdefinitiondoesnotexpressthewholefact — thatinseparableassciencemaybefromcommonknowledge, andcompletelyaswemayfillupthegapbetweenthesimplestprevisionsofthechildandthemostreconditeonesofthenaturalphilosopherbyinterposingaseriesofprevisionsinwhichthecomplexityofreasoninginvolvedisgreaterandgreater, ; butbetweenthesuccessivephasesofscienceitself, orknowledgeitself — ; : : , toreducethepropositiontoitsmostdefiniteform — undevelopedscienceisqualitativeprevision; developedscienceisquantitativeprevision.
[8] , exhibitscertainty, butnotcompleteness, ; , thepredictionthatatastatedtimetwoparticularplanetswillbeinconjunction; thatbymeansofaleverhavingarmsinagivenratio, aknownforcewillraisejustsomanypounds; thattodecomposeaspecifiedquantityofsulphateofiron6bycarbonateofsoda7willrequiresomanygrains — thesepredictionsexhibitforeknowledge, notonlyofthenatureoftheeffectstobeproduced, butofthemagnitude, eitheroftheeffectsthemselves, oftheagenciesproducingthem, .
[9] Andthisistheunexpresseddifferencewhichleadsustoconsidercertainordersofknowledgeasespeciallyscientificwhencontrastedwithknowledgeingeneral.“Arethephenomenameasurable?” : : , force, andspacearemeasureable: ; , therearoseascienceofheat, ; , becausewehavediscoveredawaytomeasurethem; butwehavenoscienceofsoundsinrespecttotheirloudnessortheirtimbre, becausewehavegotnomeasuresofloudnessandtimbre.
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