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Handbook of the History of Logic: - Fordham University Faculty

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Developments in <strong>the</strong> Fifteenth and Sixteenth Centuries 619<br />

analyzed and tested against various logical rules. Since <strong>the</strong>se rules were drawn<br />

from <strong>the</strong> areas <strong>of</strong> investigation already mentioned, including supposition <strong>the</strong>ory<br />

and its ramifications, <strong>the</strong>re was considerable overlap between <strong>the</strong>se treatises and<br />

those belonging to <strong>the</strong> first and second groups. Indeed, <strong>the</strong> latter treatises, as<br />

well as commentaries on Aristotle and Peter <strong>of</strong> Spain, <strong>the</strong>mselves made heavy use<br />

<strong>of</strong> sophismata in order to test <strong>the</strong> rules <strong>the</strong>y enunciated against possible counterexamples.<br />

Thus we get a two-way movement. A treatise on sophismata begins with<br />

<strong>the</strong> sophism and proceeds to <strong>the</strong> rules; a treatise on, for instance, consequences<br />

begins with <strong>the</strong> rules and proceeds to <strong>the</strong> sophismata.<br />

As well as treatises on individual topics, medieval logicians wrote summulae or<br />

general textbooks. The most famous example is <strong>the</strong> thirteenth-century work by<br />

Peter <strong>of</strong> Spain which gives a fairly complete outline <strong>of</strong> Aristotelian logic, including<br />

categories, syllogisms, topics and fallacies. More than three hundred manuscripts<br />

<strong>of</strong> this work survive, and about two hundred printed editions, mostly with a commentary.<br />

50 However, it would be a great mistake to think that Peter <strong>of</strong> Spain<br />

had no rivals. For those interested in medieval logic, Ockham’s Summa totius<br />

logicae and <strong>the</strong> somewhat later Perutilis logica by Albert <strong>of</strong> Saxony must not be<br />

overlooked. However, so far as <strong>the</strong> fifteenth and early sixteenth centuries are concerned,<br />

perhaps <strong>the</strong> most important textbook writers are John Buridan and Paul<br />

<strong>of</strong> Venice. Paul <strong>of</strong> Venice’s <strong>Logic</strong>a parva is worth considering more closely. Tract<br />

1 presented <strong>the</strong> material <strong>of</strong> <strong>the</strong> summulae, and dealt with terms, nouns, verbs,<br />

propositions, equipollence, conversion, hypo<strong>the</strong>tical propositions, predicables, categories<br />

and syllogisms — everything, that is, that Peter <strong>of</strong> Spain had covered,<br />

except for topics and fallacies, but in much briefer compass. Tract 2 dealt with<br />

<strong>the</strong> material <strong>of</strong> <strong>the</strong> parva logicalia, tracts 3, 5, and 6 dealt with consequences,<br />

obligations and insolubles. Tract 4 was devoted to <strong>the</strong> pro<strong>of</strong> <strong>of</strong> terms; and <strong>the</strong> last<br />

two tracts took up objections to <strong>the</strong> summulae and to <strong>the</strong> consequences. Thus<br />

<strong>the</strong> <strong>Logic</strong>a parva was a compendium <strong>of</strong> mid- to late-fourteenth century logic, as<br />

indeed was <strong>the</strong> very much longer <strong>Logic</strong>a magna. 51 The <strong>Logic</strong>a parva was very<br />

popular. About eighty manuscripts survive and it was printed many times. 52 So<br />

far as we know, it was <strong>the</strong> first medieval logic text to be printed, in 1472, and <strong>the</strong><br />

last edition was in 1614.<br />

These medieval works dominated <strong>the</strong> curricula <strong>of</strong> fifteenth-century universi-<br />

50 Peter <strong>of</strong> Spain, Tractatus called afterwards Summule <strong>Logic</strong>ales, ed. L.M. de Rijk (Assen:<br />

Van Gorcum, 1972), p. C. De Rijk comments that most <strong>of</strong> <strong>the</strong> printed editions are adaptations,<br />

pp. C–CI.<br />

51 In his <strong>Logic</strong>a magna, Paul <strong>of</strong> Venice quotes verbatim (though without acknowledgement)<br />

from various logicians <strong>of</strong> <strong>the</strong> second part <strong>of</strong> <strong>the</strong> fourteenth century: see Paul <strong>of</strong> Venice, <strong>Logic</strong>a<br />

Magna Part II Fascicule 6, ed. and trans. F. de Punta and M. M. Adams (Printed for <strong>the</strong><br />

British Academy by <strong>the</strong> Oxford <strong>University</strong> Press, 1978) and Paul <strong>of</strong> Venice, <strong>Logic</strong>a Magna Part<br />

II Fascicule 8, ed. and trans. E. J. Ashworth (Printed for <strong>the</strong> British Academy by <strong>the</strong> Oxford<br />

<strong>University</strong> Press, 1988). (O<strong>the</strong>r volumes in <strong>the</strong> series tend not to trace Paul’s sources.)<br />

52 For a list <strong>of</strong> some 81 manuscripts, see Alan R. Perreiah, Paul <strong>of</strong> Venice: A Bibliographical<br />

Guide (Bowling Green, Ohio: Philosophy Documentation Center, 1986). See also F. Bottin,<br />

“Alcune correzioni ed aggiunte al censimento dei codici di Paolo Veneto,” Quaderni per la Storia<br />

dell’Università di Padova 14 (1981), 59–60.

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