▁the ▁form ▁of ▁the ▁‘ for eth ought ful ▁inqu iry ’ ▁( ‘ l ux ▁sic c um ’ ), ▁that ▁is , ▁an ▁inqu iry ▁that ▁brought ▁a ▁particular ▁idea , ▁itself ▁ev in ced ▁through ▁the ▁mind ▁and ▁the ▁domain ▁of ▁true ▁philosophy , ▁namely , ▁the ▁" mind ’ s ▁self - ex per ience ▁in ▁the ▁act ▁of ▁thinking " ▁( Col er idge ' s ▁Bi ograph ia ▁Liter aria ), ▁or ▁ep ist em ology . ▁The ▁Ba con ian ▁approach ▁was ▁further ▁developed ▁by ▁C . S . ▁Pe ir ce ▁who ▁made ▁a ▁distinction ▁between ▁induction ▁and ▁ab du ction : ▁the ▁latter ▁being ▁the ▁method ▁of ▁discover ing ▁hypoth eses , ▁the ▁former ▁that ▁of ▁testing ▁them . ▁ ▁Col er idge ▁and ▁the ▁role ▁of ▁philosophy ▁ ▁Ba con ' s ▁work ▁provided ▁what ▁Col er idge ▁term ed ▁‘ method ’ ▁– ▁the ▁deriv ation ▁of ▁laws ▁or ▁ideas ▁to ▁guide ▁the ▁mind ▁( m ens ) ▁in ▁its ▁observation ▁of ▁nature , ▁out ▁of ▁which ▁emer ges ▁understanding ▁( con cept s ) ▁and ▁principles ▁( reason ). ▁It ▁is ▁also ▁the ▁task ▁of ▁philosophy , ▁as ▁Col er idge ▁emphas ized , ▁to ▁" sett le ▁the ▁nom en cl ature ," ▁as ▁the ▁key ▁to ▁science ▁is ▁termin ology ▁where ▁one ▁term ▁is ▁not ▁syn onymous ▁with ▁something ▁else , ▁as ▁is ▁the ▁case ▁in ▁dem otic ▁language , ▁but ▁instead ▁the ▁term ▁dis clos es ▁its ▁meaning