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Handbook of the History of Logic: - Fordham University Faculty

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The Latin Tradition <strong>of</strong> <strong>Logic</strong> to 1100 43<br />

5 THE ELEVENTH CENTURY: LOGIC AND THEOLOGY<br />

From <strong>the</strong> evidence <strong>of</strong> manuscripts copied, and especially from <strong>the</strong> position that<br />

had been reached by c. 1100, it is clear <strong>the</strong> eleventh century was a time when <strong>the</strong><br />

developments in logic <strong>of</strong> <strong>the</strong> later tenth century became widespread and were taken<br />

fur<strong>the</strong>r. By <strong>the</strong> end <strong>of</strong> <strong>the</strong> century, <strong>the</strong> thorough study <strong>of</strong> <strong>the</strong> core texts <strong>of</strong> <strong>the</strong> logica<br />

vetus — Porphyry’s Isagoge, Aristotle’s Categories and On Interpretation, and<br />

Boethius’s text-books on categorical and hypo<strong>the</strong>tical syllogisms, division and <strong>the</strong><br />

topics — had become established, at least at <strong>the</strong> leading schools, and logicians were<br />

launching <strong>the</strong>mselves into <strong>the</strong> interpretative problems stimulated by Boethius’s<br />

commentaries and by <strong>the</strong> parallels and discordances with <strong>the</strong> Stoic semantics found<br />

in Priscian’s Grammatical Institutions (Institutiones grammaticae), a work much<br />

studied in this period. There is, however, a surprising lack <strong>of</strong> purely logical texts<br />

that can be dated to <strong>the</strong> eleventh century. Garlandus’s Dialectic, once dated to<br />

before 1050, is now recognized as <strong>the</strong> work <strong>of</strong> Garlandus <strong>of</strong> Besançon, and may well<br />

have been written later than 1110 or even than 1120. In cataloguing <strong>the</strong> continuous<br />

commentaries to <strong>the</strong> Isagoge, Categories and On Interpretation, I found none for<br />

which <strong>the</strong>re is compelling evidence <strong>of</strong> its being written before 1100 [Marenbon,<br />

2000b]; Green-Pedersen [1984, 147-53, 418-9] suggests that two or three surviving<br />

commentaries on De topicis differentiis may be a few years earlier, but without<br />

decisive pro<strong>of</strong>. Since, as <strong>the</strong> next chapter will explain, <strong>the</strong>se commentaries are<br />

layered compositions, it is extremely probable that <strong>the</strong> earliest layer or layers go<br />

back to before <strong>the</strong> time <strong>of</strong> <strong>the</strong> earliest manuscripts, but it is impossible to discern<br />

exactly what material belonged to <strong>the</strong>se first forms <strong>of</strong> <strong>the</strong> commentaries.<br />

For logic in <strong>the</strong> eleventh century, <strong>the</strong>n, we must look to four thinkers who used<br />

it especially in connection with <strong>the</strong>ology: Lanfranc and Berengar, in <strong>the</strong>ir dispute<br />

over <strong>the</strong> Eucharist; Peter Damian, in discussing whe<strong>the</strong>r God can undo <strong>the</strong> past;<br />

and Anselm, who was also responsible for two ostensibly non-<strong>the</strong>ological logical<br />

discussions. 2<br />

5.1 <strong>Logic</strong> and <strong>the</strong> Eucharist: Lanfranc and Berengar<br />

([Holopainen, 1996, 44-118; Marenbon, 2005a, 232-7])<br />

In <strong>the</strong> sacrament <strong>of</strong> <strong>the</strong> Eucharist, Christians maintain that <strong>the</strong> bread and wine<br />

blessed by <strong>the</strong> priest are <strong>the</strong> body and blood <strong>of</strong> Jesus Christ. Berengar <strong>of</strong> Tours,<br />

writing in <strong>the</strong> middle <strong>of</strong> <strong>the</strong> eleventh century, maintained that this identity must<br />

be understood just in terms <strong>of</strong> signification. The priest’s words <strong>of</strong> consecration<br />

do indeed bring about a change, but it is to make <strong>the</strong> bread and wine into signs<br />

for Christ’s body and blood. But <strong>the</strong>re is no change in <strong>the</strong> substance <strong>of</strong> <strong>the</strong><br />

bread and wine, and if <strong>the</strong>re were — Berengar maintains — <strong>the</strong>n <strong>the</strong>y could no<br />

2 The greater part <strong>of</strong> Odo <strong>of</strong> Tournai’s treatise De peccato originali [in Patrologia Latina 160,<br />

1071-1102; trsl. Odo <strong>of</strong> Tournai, 1994] is concerned with <strong>the</strong> problem <strong>of</strong> universals (see [Erismann,<br />

Forthcoming-A, and Forthcoming-B]). Since it was not written until 1095 at <strong>the</strong> earliest, and<br />

perhaps as late as 1110, and its concerns are intimately linked to <strong>the</strong> discussions <strong>of</strong> <strong>the</strong> early<br />

1100s, it is better discussed in <strong>the</strong> context <strong>of</strong> <strong>the</strong> next chapter.

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