[10] Obviouslyitisthisreductionofthesensiblephenomenaitrepresents, torelationsofmagnitude, ’sknowledgeofweightsandforceswasinthesameconditionastheirknowledgeofsmellsandtastesisnow — aknowledgenotextendingbeyondthatgivenbytheunaidedsensations; -glasses11andclepsydras12, mostphenomenacouldbeestimatedastotheirdurationsandintervals, withnogreaterprecisionthandegreesofhardnesscanbeestimatedbythefingers.Untilathermometricscalewascontrived13, men’, withnoaidstoobservation, onlytheroughestcomparisonsofcasescouldbemade, andonlythemostmarkeddifferencesperceived; itisobviousthatonlythemostsimplelawsofdependencecouldbeascertained — onlythoselawswhich, beinguncomplicatedwithothers, andnotdisturbedintheirmanifestations, , butthatuntilitsassumptionofaquantitativecharacteritisnecessarilyconfinedtothemostelementaryrelations.
[11] Moreoveritistoberemarkedthatwhile, ontheonehand, wecandiscoverthelawsofthegreaterproportionofphenomenaonlybyinvestigatingthemquantitatively; , , asanotheraspectofthesamefact, wemayfurtherobservethataswepassfromqualitativetoquantitativeprevision, ; wheninaccuratelyquantitativeitusuallyconsistsofpartinduction, partdeduction; , ; andthatinductioncanachieveonlyqualitativeprevision.
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