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 Wysłany: Czw 19:43, 10 Mar 2011 Temat postu: r
whererissomehighvalueintheinterval[01] |
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simplisticrule
ofprobabilisticdetachment(PD):frompuinferthat
utakingaspremises
allofthepremisesoftheformerline.Wecannowreconstructhisproof
thus:
22TheCollapseoftheGettierProblem
{1}1Bn[Premise]
{1}2(9x)Bx[EGfrom1]
{3}3(x)(Bx'pFx)[Premise]
{4}4Ba[PremiseforES]
{3}5Ba'pFa[USfrom3]
{34}6
pFa[MPfrom45]
{34}7
Fa[PD6]
{34}8
(9x)Fx[EGfrom7]
{13}9
(9x)Fx[ESfrom2–8]
TheplausibilityofFeldman’sexamplerestsontheclaimthat‘Fn’–the
falsehoodinvolvedinthecase–doesnotappearexplicitlyonanylineof
thisproof.Butisthattheonlyrelevantissue?Surelytheoddestfeatureof
theproofisthecircuitousinvocationof‘Ba’online4whenthereisaper-
fectlygoodspeci?cationofthesameformavailablealreadyonline1.Itis
obviousthatexistentialspeci?cationisusedonlytoavoidanopenstatement
of‘Fn’asthereisastraightforward6-stepproofwhichdoesnotuseESbut
doesexplicitlyinvoke‘Fn.’
Toputa?ngerontheproblemwemustreturntopremise3which
claimsthatanyonewhobehavesinsuch-and-suchafashionprobablyownsa
Ford.Whatcouldjustifysuchastrongassertion?Onre?ectionitisclear
thatthispremiseisnotevenderivablefromthestrongassumption
A:(x)P(FxjBx&K)r
whererissomehighvalueintheinterval[01];forprobabilities(when
theyrepresentsomethingofepistemicratherthanofmerelypsychologic yilai:
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