Primi libri poſterioꝝ

ſit b. ab ip̄o āt b ⁊ ab a alteꝝ Et hoꝝ alteraNunquid in infinitum contingit abire. autimpoſſibile eſt.Hic mouet tertiā queſtionē ex ꝑte termini medij. etī hac q̄ſtione ſupponūtt̉ duo extrēa vl̓iſſimū p̄dicatū ⁊ ꝑticulariſſimū ſb̓ctm̄. ⁊ q̄rit̉ cū hoc an poſſent eſſe infinitamedia. puta ſi a ſit vl̓iſſimū p̄dicatū. ⁊c ꝑticl̓ariſſimuꝫſb̓iectū. ⁊ q̄rit̉ cū hoc an pn̄t eſſe infinita media puta ſi aſit vl̓iſſimū p̄dicatū. ⁊ c ſit infimū ſb̓ctm̄. ⁊ inter a ⁊ c ſimediū b. ⁊ int̓ a ⁊ biteꝝ ſit aliqd̓. ⁊ ſil̓r int̓ b ⁊ c. ⁊ boruꝫetiā medioꝝ ſtꝭ alia media inter ip̄a ſcꝫ extrema tā ſcilicet aſcēdēdo qͣꝫ deſcendēdo. Eſt ergo queſtio an hoc poſſꝫprocedere in infinitū. aut impoſſibile ſit hocEſt aūt hͦ quidē intēdere idem eē. ⁊ ſi demōſtratōes in infinitū veniūt. Et ſi ē demōſtratō oīs rei. aut ad inuicē includant̉Hic ph̓s on̄dit ad qͥd tendūt hmōi q̄ſtiones. on̄densꝙ hmōi q̄ſtiones tēdūt ad materiā de qͣ nūc agit̉ ſcꝫ addemōſtratōes dicēs ꝙ ītēdere ad inqͥſitōnem v̓itatis iniſtis queſtioībus idē eſt ac ſi q̄rat̉ vtꝝ demōſtratōes ꝓcedāt in infinitū vel aſcendēdo vel deſcēdēdo. Aſcendēdoquidē ita ꝙ q̄libet ꝓpō ex qua demōſtratio ꝓcedit ſit demōſtrabil̓ ꝑ aliā pͥorē demōſtratōem. ⁊ hoc ē qd̓ ſb̓iūgit. ⁊ſi eſt demōſtratio om̄is id eſt cuiuſlibet ꝓpōis qd̓ quidāeſtimātes circa pͥncipia errauerūt ſicut d̓r in qͣrto metaphyſice. Deſcēdēdo aūt ſi ex aliqͣ ꝓpōne demōſtrare cōtingat iteꝝ aliā demōſtratōem poſteriorē ꝓcedere ⁊ hoceſt vnū mēbꝝ dubitatōis ſi demr̄atōes in īfinitū ꝓcedūtvel aſcendēdo vel deſcēdendo. Aliud mēbꝝ dubitatōis ēſi demōſtratōes ad ſe inuicē terminant̉. ita ſcꝫ ꝙ vna demōſtratio ꝯfirmet̉ ꝑ aliā aſcendēdo. ⁊ ex vna ꝓcedat alia deſcendēdo. ⁊ hoc vſqꝫ ad aliquē terminūSimiliter aūt dico ⁊ in priuatiuis ſyllogiſmis ⁊ ꝓpōnibus. vt ſi a nō ineſt b nulli aut p̄mo. aūt eſt aliqͥd infra cui priori nō inē. vt ſiprius nō inēa. ip̄ic qd̓ in b eſt om̄i. ⁊ iterū hͦetiā in alio priori. vt ſic eſt qd̓ eſt in om̄i. Etnāqꝫ in his. aut infinita ſunt in quibus nonineſt prioribus aut ſtaturHic ph̓s on̄dit ꝙ ſicut iſte queſtiones pn̄t moueri inaffirmatīs ſic etiā in negatīs. dicēs ſimiliter dico in priuatiuis id eſt in negatīs ſyllogiſmis ⁊ ꝓpōnibus qͣſi dieat ſicut eſt aſcēſus ⁊ deſcēſus in affirmatīs ſyllogiſmiset ꝓpōibus. ita neceſſe eſt ꝙ ſit etiā in negatiuis. Cuiusrō eſt qꝛ in demōſtratione negatīa oꝫ vnā p̄miſſam eſſeaffirmatiuā in qua ſb̓ctm̄ ꝯcluſionis cōtineat̉ ſub medio. a qͦ p̄dicatū cōcluſionis remoueat̉ nō eēt gͦ ꝓceſſusin īfinitū ī negatīs niſi qꝛ eēt ꝓceſſꝰ ī īfinitū ī affirmatīsSed in ꝯuertibilibꝰ nō ſil̓r ſe hꝫ. nō em̄ ēin eque p̄dicabilibꝰ de quo p̄dicat̉ prīo autvltimo. Oīa em̄ ſil̓r ſe hn̄t Et ſi ſint infinitade ip̄o p̄dicātia in vtraqꝫ ſtꝭ p̄dicata īfinitaniſi ſil̓r cōtingat ꝯuerti. Sed hͦ quidē ſicutaccidens. illud vero ſicut predicamentumHic ph̓s on̄dit quō p̄dcē q̄ſtiones nō hn̄t locū in conuertibilibꝰ. rō eſt qꝛ in talibꝰ q̄ ſic de ſe inuicē p̄dicant̉ cōuertibiliter nō ē q̄rere de quo aliqͥd p̄dicat̉ pͥmo ⁊ de quoi

vltīo. qꝛ oīa ꝯuertibilia eodē mō ſe hn̄t ad ſe inuicē equeprimo ſcꝫ ⁊ eq̄ vltimo. ⁊ ſi ſint talia infinita q̄ de ſeip̄o p̄dicant̉ cōuertibilit̓ tūc ſunt infinita in vtroqꝫ in aſcendendo ⁊ deſcendēdo. qꝛ vnūqd̓qꝫ ſb̓ijcit̉ alteri ⁊ p̄dicaturalteri. niſi forte qͥs cauillatordicat ꝙ nō ſil̓r iſta ꝯuertibilia ꝯuertunt̉ ⁊ ſic vnū ſtat ad alteꝝ. ſꝫ hoc nō eſt veruꝫin cōuertibilibꝰ. ſꝫ ſolū in hoc ē drn̄a. qꝛ vnū illoꝝ eſt ſicꝭaccn̄s qd̓ eſt paſſio qd̓ ẜm ſe p̄dicatū eſt. id eſt formale qd̓de alio p̄dicat̉. Alid̓ ꝟo qd̓ eſt ſb̓ctm̄ nō eſt p̄dicatū niſiẜm accūs qd̓ p̄dicat̉ de paſſione rōne ſuppoſiti. Et verba ph̓i qͥbus dicit. ſꝫ hoc quidē ſicut accūs illd̓ vero ſicutpredicamentū. dn̄t ſic intelligi id eſt ſunt p̄dicatōes denomiatiue in ſcd̓o mō dicēdi ꝑ ſe. ⁊ tal̓ p̄dicatio vocaturper accn̄s aliqn̄ in cōꝑatōe ad pͥmū modū. alia aūt vt p̄dicamētū. id eſt qͥditatiue in quibꝰ ſb̓ctm̄ ⁊ p̄dicatū ſuntde eadē coordīatōe p̄dicamētali ſicut definitio ⁊ definitūet de illis erit ſequens inquiſitio.Qd̓ quidē igit̉ media nō cōtingat eſſe infinita ſi in ſurſum ⁊ deorſum ſtent p̄dicata manifeſtū eſt Dico aūt ſurſum quidē qd̓ magꝭvl̓e eſt. deorſum aūt qd̓ ꝑticulare eſt.Iſtd̓ eſt ſcd̓m capl̓m in quo ph̓s incipit ſoluere predictas queſtiones Et diuidit̉ in duas ꝑtes. in pͥma ꝑ.te on̄t ꝙ qͣrūdā dubitationū ſol̓o reducit̉ ad ſolutōnemaliaꝝ. In ſcd̓a ſoluit dubitatōem qͣꝫtū ad illa in quibꝰper ſe ⁊ pͥncipal̓r difficultas ꝯſiſtit ibi (Ꝙ aūt ill̓ logice) Quo ad pͥmū duo facit. pͥmo on̄t ꝙ dubitatio que ēcirca media reducit̉ ad dubitatōem q̄ mouet̉ de extremꝭet ea ſoluta ſoluit̉. Scd̓o on̄t q̄ dubitatio ꝙ dubitatio q̄eſt circa negatīas demōſtratōes reducit̉ ad dubitatōesque ſtꝭ de affirmatīs. ibi Maīfeſtū ē āt in pͥuatiuis)Quo ad pͥmū dicit ſi qͥs rōem ſequētē ꝯſideret ꝙ nō cōtingit media eſſe infinita. ſi p̄dicatōes tā in ſurſuꝫ qͣꝫ indeorſum ſtent in aliqͥbus termīs ſcꝫ in ſummo p̄dicatoet in infimo ſb̓iecto. ⁊ ꝑ hͦ ſoluit̉ tercia q̄ſtio pͥus mota.Expoīt āt ph̓s qͥd vocat̉ ſurſum dicēs ꝙ ſurſum aſcēdiʳ qn̄ aſcēditur ad p̄dicatū magis vl̓e ſicut eſt genꝰ gn̄aliſſimū. qd̓ eſt coius oībꝰ his q̄ ſtꝭ ſue coordīatōis. Deorſum v̓o qd̓ ſtat in ꝑticulari qd̓ vlteriꝰ indiuiſibile eſt formaliter ꝑ drās. ⁊ hoc in oībus his q̄ ſumūtur eſt ſpeciesſpēaliſſima vlterius per ſpecies indiuiſibilisSi em̄ a p̄dicāte dec īfinita ſtꝭ media. inquibꝰ ē b. maīfeſtū eſt ꝙ ꝯtingit vtiqꝫ Quare ⁊ ab in deorſum alteꝝ de altero cōtīgit p̄dicari in infinitū. An̄qͣꝫ em̄ incveniat īfinitaſtꝭ media. Et ac inſurſum infinita an̄qͣꝫ ina veniat. Quare ſi hec īpoſſibilia ſunt. ⁊ ip̄iꝰa et cimpoſſibile eſt infinita eſſe mediaHic ph̓s ꝓbat ꝓpoſitū ſcꝫ ꝙ ſi ſit ſtatꝰ in extremis ꝙimpoſſibile ē ꝓcedere in infinitū in medijs dicens ſi ponatur ꝙ a ſit vl̓iſſimū p̄dicatū. ⁊c ſit infimū ſb̓ctm̄ ⁊ ſintmedia infinita. ⁊ qͥdlibet eoꝝ vocetur b. tūc maīfeſtū ē ꝙvl̓iſſimū p̄dicatū p̄dicabitur pͥus de medio ꝓpinqͥoriqͣꝫde medio magis deſtanti. ⁊ ſic ꝯn̄r deſcēdēdo. ⁊ ſic taliamedia eēnt īfinita. ⁊ īfinitū nō p̄t ꝑtrāſſiri gͦ nūqͣꝫ eēt deueīre ad īfimuꝫ ſb̓ctm̄ qd̓ ē ꝯtra ſuppoſituꝫ. qꝛ ſuppoſitum ē deſcēſuꝫ eē finituꝫ. Sil̓i mō ꝓbatur de aſcēſu. maīfeſtū ē gͦ ſi extrēaſtꝭ finita. ꝙ media nccē ē eē finita. ⁊ ſicq̄ſtio d̓ īfitate medioꝝ reducit̉ ad q̄ſtōeꝫ d̓ īfitate extrēoꝝ