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Handbook of the History of Logic: - Fordham University Faculty

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302 Henrik Lagerlund<br />

Such propositions are assertoric simpliciter, but never necessary per accidens.<br />

According to Averroes, <strong>the</strong> propositions which are necessary per se have necessary<br />

terms. There are no problems involved in converting such propositions into<br />

necessity propositions. Propositions which are accidentally necessary are not convertible<br />

into necessity propositions. Averroes’ example <strong>of</strong> a propositions <strong>of</strong> this<br />

kind is: ‘Every writer is a human being’.<br />

Averroes’ discussion about syllogistic propositions which are necessary per se or<br />

necessary per accidens is much more detailed than what one finds in for example<br />

Robert Kilwardby’s short remarks about <strong>the</strong> conversion <strong>of</strong> <strong>the</strong> necessity premises<br />

(see below). One striking similarity though is that both claim that <strong>the</strong> subject<br />

term <strong>of</strong> a necessary proposition per se must not stand for its supposita accidentally.<br />

A proposition is called necessary per se only if both terms are necessary, and it is<br />

called per accidens only if one term is necessary and <strong>the</strong> o<strong>the</strong>r accidental. There<br />

may be necessary connections between <strong>the</strong> terms <strong>of</strong> a proposition which do not<br />

fulfil <strong>the</strong>se conditions. The proposition is <strong>the</strong>n not necessary. Accidental necessity<br />

propositions have an accidental term as a subject term and, <strong>the</strong>refore, <strong>the</strong>re is no<br />

essential connection between <strong>the</strong> terms as such.<br />

Much more should be said about <strong>the</strong> logical <strong>the</strong>ories in Arabic logic works<br />

accessible to Latin logicians, but this will have to do for now. These doctrines<br />

were never as influential as Prantl assumed, but nei<strong>the</strong>r did <strong>the</strong>y exert no influence<br />

what so ever.<br />

4 THE COMMENTARIES ON ARISTOTLE’S ORGANON<br />

There is an unfortunate lack <strong>of</strong> edited texts from <strong>the</strong> early commentaries on Aristotle’s<br />

logic. 52 Albert <strong>the</strong> Great wrote commentaries on all logic works in <strong>the</strong><br />

logica antiquorum and his are <strong>the</strong> only ones that have been or are being critically<br />

edited. Thomas Aquinas’ logic works has also <strong>of</strong> course been edited. He only wrote<br />

commentaries on De interpretatione and <strong>the</strong> Posterior Analytics. One <strong>of</strong> <strong>the</strong> most<br />

influential thinkers from this period was, however, Robert Kilwardby. Between<br />

1235 and 1245, he lectured on most <strong>of</strong> <strong>the</strong> logica antiquotum and although he was<br />

influenced by Averroes he stands out as a very original thinker. Unfortunately,<br />

none <strong>of</strong> his commentaries on Aristotle’s logical works have been edited. Albert <strong>the</strong><br />

52 There is no chronological catalogue <strong>of</strong> all <strong>the</strong> Latin commentaries on <strong>the</strong> logical works <strong>of</strong><br />

Aristotle, but <strong>the</strong>re numerous lists <strong>of</strong> commentaries available. In [Marenbon, 2000, II, 77–<br />

127], all commentaries before 1150 has been listed, and, in [Marenbon, 2000, VIII, 21–49], all<br />

commentaries on <strong>the</strong> Categories and De interpretatione before Abelard are listed. In Green-<br />

Pedersen [1984], all commentaries on <strong>the</strong> Topics are listed. In [de Rijk, 1962] and [Ebbesen,<br />

1981b] many <strong>of</strong> <strong>the</strong> early commentaries on Sophistici Elenchi are listed. In [Lohr, 1967; 1968;<br />

1970; 1971; 1972; 1973] and [1974] an alphabetical list <strong>of</strong> all medieval commentaries on Aristotle’s<br />

logical works can be found. A project in Cambridge run by John Marenbon and Tony Street will<br />

substantially enhance our knowledge <strong>of</strong> <strong>the</strong> medieval commentary tradition. In <strong>the</strong> near future<br />

M. Cameron and J. Marenbon will publish four edited volumes called Aristotelian <strong>Logic</strong>, East<br />

and West, 500–1500 and with <strong>the</strong> respective subtitles, <strong>the</strong> Prior Analytics, <strong>the</strong> Peri Hermeneias,<br />

<strong>the</strong> Topics and Methods and Metodolology.

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