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Handbook of the History of Logic: - Fordham University Faculty

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Peter Abelard and His Contemporaries 151<br />

<strong>of</strong> <strong>the</strong> kind it denotes, as opposed to just present ones [de Rijk, 1967a, p. 495]. In<br />

each <strong>of</strong> <strong>the</strong>se cases translatio takes place (or, as <strong>the</strong> text puts it, transsumptio),<br />

whereby <strong>the</strong> reference <strong>of</strong> <strong>the</strong> term is deflected by <strong>the</strong> adjoining words, even though<br />

<strong>the</strong> term itself sees no change <strong>of</strong> underlying signification. What is described here,<br />

<strong>of</strong> course, is <strong>the</strong> very semantic behaviour which later supposition <strong>the</strong>orists attempt<br />

to chart in <strong>the</strong>ir various classifications. The supposition <strong>of</strong> a name is what it stands<br />

for in a given context, and <strong>the</strong> above varieties <strong>of</strong> univocation just correspond to<br />

different things a name can stand for in different contexts — i.e., <strong>the</strong>y correspond<br />

to different kinds <strong>of</strong> supposition.<br />

The forward-looking developments in semantic <strong>the</strong>ory described under (i) and<br />

(ii) were not limited to <strong>the</strong> two schools mentioned. These were very general developments<br />

in this era, and credit for <strong>the</strong>m must be widely apportioned. While<br />

it is useful to grasp <strong>the</strong> issues on which <strong>the</strong> schools differentiated <strong>the</strong>mselves, it<br />

should also be understood that <strong>the</strong>re were issues on which <strong>the</strong>y exerted a productive<br />

consensus. It does remain difficult to chart this mid- and late-twelfth century<br />

period in <strong>the</strong> history <strong>of</strong> logic, because essential development occurred through a<br />

larger number <strong>of</strong> smaller voices, as opposed to a smaller number <strong>of</strong> larger ones.<br />

The passage from Abelard to <strong>the</strong> terminists is an inland delta phase <strong>of</strong> history,<br />

where a distinct channel divides into a network <strong>of</strong> smaller ones, before <strong>the</strong>se <strong>the</strong>n<br />

ga<strong>the</strong>r back into ano<strong>the</strong>r distinct one.

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