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ChapterI
in1348/49.Thereareatleasttwentyextantmanuscriptsofthiswork.57
AllcopiesareincompletewiththemissingpartTenonPlatonicforms
thatDumbletonrefersto,butitprobablyneverwascompleted.Double-
ton’sopusmagnumrunstosome400,000words.58Thewholeworkwas
transcribedbyJamesWeisheiplfromasinglemanuscript(Vat.lat.6750)
intheearly1950s,butthattranscriptionwasneverpublished,withit
beingdepositedattheLibraryofthePontifcalInstituteforMediaeval
StudiesinToronto.59
Dumbleton’sSumma,intheformithassurvivedtoourtimehasnine
parts,whichpresentextantdiscussion:I)Onlogicbeginningwithan
extendeddiscussionofthesignifcationwhichisimportantforunder-
standingDumbleton’ssolutiontotheinsoluble,thispartisfollowedby
twochaptersonknowledgeanddoubt;60II)Onfrstprinciples,matter
andform,intensionandremissionofqualities;III)Onlocalmotion,
alterationandaugmentation,onthecausesofmotion,ontherulesfor
thespeedofdifferenttypesofmotion,onthedefnitionoftimeand
motion;IV)Onthenatureoftheelementsandtheirqualities,onthe
relationsofelementalandqualitativeforms,ondensityandrarity,on
therelativeweightsofpureandmixedbodies;V)Onspiritualaction
andlight,onthenatureofthemediumreceivinglight;VI)Onthelimits
ofactiveandpassivepowers,onthemotionoftheheavensandtheir
57TheMssare:Cambridge,Gonville&Caius,499/268;Cambridge,Peterhouse,
272;Dubrovnik-Ragusa,Dominikanerbibliothek32;KlosterneubergSB670;
London,B.L.Royal10.B.XIV;London,LambethPalace79;Oxford,Magdalen
32;Oxford,Magdalen195;Oxford,Merton279;Oxford,Merton306;Padua,
Anton.XVII,375;Paris,BnFlat.16146;Paris,BnFlat.16621;Paris,Univer-
sitaire599;Prague,Capit.Metropol.1291(L.XLVII);Vatican,Pal.lat.1056;
Vatican,Vat.Lat.954(lacksPartI);Vatican,Vat.Lat.6750;Venezia,Bibl.Naz.
MarcianaVI,79(2552);Worcester,Bibl.Cathed.,F.6;Worcester,Bibl.Cathed.,
F.23(PartI,IIandincompletePartIII).
58SeeP.V.Spade,uTheMedievalLiar”,Toronto1975,pp.63-65.
59Weisheipl’sPh.D.dissertationistitled:EarlyfourteenthcenturyphysicsoftheMerton
(school):withspecialreferencetoDumbletonandHeytesbury,2vols.FragmentsofPart
II-VaretobefoundinE.D.Sylla,Ph.D.atHarvard,publishedasuTheOx-
fordCalculatorsandtheMathematicsofMotion1320-1350…,pp.565-625.
ThereistheprojectrunningatSt.AndrewsUniversityandBarbaraBartocci
isresponsibleforthecriticaleditionofPartIandIIoftheSumma,seehttps://
www.st-andrews.ac.uk/~slr/paradox.html.
60Seehttps://www.st-andrews.ac.uk/~slr/paradox.html;E.Sylla,uJohnDumb-
leton”,p.608.