Abstract
There is a marked divergence between the treatment of Topics (loci) in Garlandus Compotista’s Dialectica and the kind of treatment provided by the major terminist logicians in the first half of the thirteenth century. Garlandus in the eleventh century and the terminists in the thirteenth mark the poles between which lies the abundant twelfth-century work on the Topics. At least thirteen twelfth-century commentaries on Boethius’s De topicis differentiis have survived,1 including one by Abelard.2 And fourteen of the (mostly twelfth-century) treatises edited or excerpted by De Rijk in Logica Modernorum discuss Topics: two logic treatises apparently from the school of William of Champeaux,3 an anonymous commentary on Porphyry,4 Introductiones dialectice Berolinenses,5 Ars Meliduna,6 Summe Metenses,7 Introductiones Montane minores, Abbreviatio Montana, Excerpta Norimbergensia, Tractatus Anagnini, Introductiones Parisienses, Logica “Ut dicit”, Logica “Cum sit nostra”, and Dialectica Monacensis.8 The treatises presented by De Rijk tend to fall into two groups, each of which has its own pattern of contents and particular handling of the Topics.
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Notes
See N. J. Green-Pedersen, “The Doctrine of ‘maxima propositio’ and ‘locus differentia’ in Commentaries from the 12th century on Boethius’ Topics’”, Studia Mediewistyczne 18 (1977) 125–63.
Peter Abelard, Super Topica glossae, ed. Mario dal Pra, in Pietro Abelardo: Seritti di logica, (Florence: La nuova Italia Editrice, 1969).
Ed. L. M. de Rijk, Logica Modernorum, (Assen: Van Gorcum, 1962–7), vol. II, pt. 1, pp. 130–46.
Ed. L. M. de Rijk, Logica Modernorum, (Assen: Van Gorcum, 1962–7), vol. II, pt. 1, pp. 164–5.
Ed. L. M. de Rijk, Logica Modernorum, (Assen: Van Gorcum, 1962–7), vol. II, pt. 1, pp. 151–5.
Ed. L. M. de Rijk, Logica Modernorum, (Assen: Van Gorcum, 1962–7), vol. II, pt. 1, pp. 264–91, 319–56.
Ed. L. M. de Rijk, Logica Modernorum, (Assen: Van Gorcum, 1962–7), vol. II, pt. 1, pp. 449–490.
The last eight of these treatises are edited in De Rijk (1962–67), vol. II, pt. 2.
Cf. Garlandus Compotista, Dialectica, ed. L. M. de Rijk, (Assen: Van Gorcum, 1959) p. 118. 35ff. For a more detailed exposition of Garlandus’s views, see essay III.
De Rijk (1962–7) vol. II, pt. 2, pp. 116ff. and vol. II, pt. 1, pp. 272–3 and 347ff.
For the dating of this treatise, see H. A. G. Braakhuis, De 13de eeuwse Tractaten over syncategorematische Termen, (Leiden: Krips Repro Meppel, 1979), vol. I, pp. 407–8, n.89.
And in this respect Summe Metenses (now believed to be by Nicholas of Paris, ca. 1250; see Braakhuis 1979, vol. I, pp. 317–26) apparently resembles them; see De Rijk (1962–7), vol. II, pt. 1, pp. 472–3.
To take just one example, Introductiones Parisienses and Dialectica Monacensis define a Differentia as Peter of Spain does, as a relationship of a certain sort.
De Rijk (1962–7), vol. II, pt. 1, pp. 410–14.
De Rijk (1962–7), , vol. II, pt. 1, p. 160.
De Rijk (1962–7), , vol. II, pt. 1, pp. 153–4: (1) de quocumque totum, et partes eius sub divisione predicantur. Verbi gratia: ‘si Socrates est animal, Socrates est rationalis vel irrationalis’
De Rijk (1962–7), vol. II, pt. 1, pp. 153–4: (2) de quocumque pars, et totum. Verbo [sic!] gratia: ‘si Socrates est homo, Socrates est animal’.
De Rijk (1962–7), vol. II, pt. 1, pp. 153–4: (3) de quocumque predicatur unum par, et reliquum. Verbi gratia; ‘si Socrates est homo, Socrates est risibilis’
De Rijk (1962–7), vol. II, pt. 1, pp. 153–4: (4) de quocumque predicatur unum oppositum, <oppositum> illius oppositi removetus ab eodem. Verbi gratia: ‘si Socrates est homo, Socrates non est lapis’.
De Rijk (1962–7), vol. II, pt. 1, pp. 153–4: (5) ‘de quocumque predicatur unum immediatum, immediatum illius immediati removetur ab eodem. Verbi gratia: ‘si Socrates est sanus, Socrates non est eger’.
De Rijk (1962–7), vol. II, pt. 1, p. 154: (6) quicquid predicatur de toto, et de parte. Ut ‘si omnis homo est animal, Socrates est animal’.
De Rijk (1962–7), vol. II, pt. 1, p. 154: (7) quicquid predicatur de parte universaliter et de toto particulariter. Verbi gratia: ‘si omnis homo (est) corpus, quoddam animal est corpus’.
De Rijk (1962–7), vol. II, pt. 1, p. 154: (8) quicquid predicatur de pari, et de reliquo. Ut ‘si omnis homo est animal, omne risible est animal’.
De Rijk (1962–7), vol. II, pt. 1, p. 154: (9) si aliquid predicatur de aliquo universaliter, tunc si aliquid predicatur de predicato universaliter, illud idem predicatur de subiecto universaliter. Verbi gratia: ‘si omnis homo est animal, tunc si omne animal est corpus omnis homo est corpus’.
De Rijk (1962–7), vol. II, pt. 1, p. 154: (10) Si aliquid predicatur de aliquo universaliter, tunc si aliquid predicatur de subiecto universaliter, illud idem predicatur de predicato particulariter. Verbi gratia: ‘si omnis homo est animal, tunc si omnis homo est corpus quoddam animal est corpus’.
See De Rijk (1962–7), vol. II, pt. 1, pp. 134ff.
See De Rijk (1962–7), vol. II, pt. 1, pp. 145ff.
Cf. De Rijk (1962–7), vol. II, pt. 1, p. 139.
De Rijk (1962–7), vol. II, pt. 1, p. 134.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (11a) de quocumque predicatur totum universaliter, de illo predicantur omnes partes illius sub disiunctione.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (11b) de quocumque removetur aliquod totum universaliter, de illo removentur omnes partes illius.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (12a) de quocumque predicatur pars, et totum.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (12b) de quocumque removentur omnes partes, etiam totum illarum.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (13a) de quocumque predicatur unum par, et reliqua.
De Rijk (1962–7), vol. II, pt. 1, p. 135: (13b) a quocumque removetur unum par, et reliqua.
De Rijk (1962–7), vol. II, pt. 1, p. 135, vol. II, pt. 1, pp. 135–6: (14a) quicquid predicatur de toto universaliter, et de qualibet parte illius vel universaliter vel particulariter vel in (de) finite vel singulariter.
De Rijk (1962–7), vol. II, pt. 1, p. 135, vol. II, pt. 1, pp. 135–6: (14b) quicquid removetur a toto universaliter, illud idem removetur a qualibet parte illius universaliter, particulariter, in (de) finite, singulariter.
De Rijk (1962–7), vol. II, pt. 1, p. 135, vol. II, pt. 1, pp. 135–6: (15a) quicquid predicatur de parte universaliter, et de toto particulariter.
De Rijk (1962–7), vol. II, pt. 1, p. 135, vol. II, pt. 1, pp. 135–6: (15b) quicquid removetur a parte universaliter vel particulariter, a toto particulariter.
De Rijk (1962–7), vol. II, pt. 1, p. 136: si aliquod par predicatur de aliquo toto, par illius predicatur de parte illius.
De Rijk (1962–7), : si aliqua pars predicatur de aliquo toto, totum illius partis predicatur de parte subiecti totius.
De Rijk (1962–7), vol. II, pt. 1, pp. 136–9.
De Rijk (1962–7), vol. II, pt. 1: (17) quicquid infert antecedens, infert consequens (p. 136).
De Rijk (1962–7), vol. II, pt. 1: (18) quicquid sequitur ad consequens, sequitur ad antecedens (p. 137).
De Rijk (1962–7), vol. II, pt. 1: (19) si aliquid infert aliud, destructo consequenti destruitur antecedens (p. 137)
De Rijk (1962–7), vol. II, pt. 1, p. 137: si aliqua cathegorica infert aliquam hypotheticam, tunc si aliquid infert ipsam cathegoricam et aliud infert antecedens illius hypothetice, illa duo ponuntur in loco illorum in consequentia.
De Rijk (1962–7), vol. II. pt. 1, pp. 138–9.
De Rijk (1962–7), vol. II, pt. 2, pp. 117–18.
De Rijk (1962–7), vol. II, pt. 1, pp. 155–60.
It is a mistake then, I think, to say as Green-Pedersen does that Abelard in his Dialectica is simply following the views of William of Champeaux; see N. J. Green-Pedersen, “William of Champeaux on Boethius’ Topics according to Orleans Bibl. Mun. 266”, Cahiers de l’Institut du Moyen-âge Grec et Latin 13 (1974) p. 135. Furthermore, in various twelfth-century commentaries on Boethius’s De topicis differentiis there are references to the views of a Master W., whom Green-Pedersen has identified with William of Champeaux (Green-Pedersen, 1974, pp. 15–16). But there are divergences in the views of the author of IdW and Master W. which need to be explained if the two are to be identified. For example, Master W. discusses Topics based on definition (Green-Pedersen 1974, pp. 20, 25), but IdW does not even include the Topic from definition in its list of Topics, nor does definition enter into IdW’s consideration of special Topics for more complicated conditionals where the Topics from the antecedent and from the consequent come into play. (These last two Topics are not original with William of Champeaux as Green-Pedersen has claimed [Green-Pedersen 1977, p. 132]; they can be found, for example, in Garlandus Compotista [De Rijk 1959, p. 114].)
L. M. de Rijk, “Some New Evidence on Twelfth-Century Logic”, Vivarium 4 (1966) pp. 8, 22.
De Rijk 1962–7, vol. II, pt. 2, p. 85.
De Rijk (1962–7), vol. II, pt. 2, pp. 86–95.
De Rijk (1962–7), vol. II, pt. 2, p.85.
De Rijk (1962–7), vol. II, pt. 2, pp. 87, 91.
De Rijk (1962–7), vol. II, pt. 2, p. 92. For Abelard’s examples, see Dialectica, ed. L. M. de Rijk, (Assen: Van Gorcum, 1970), p. 349.
De Rijk 1962–7, vol. II, pt. 2, pp. 93–5.
De Rijk (1962–7), , vol. II, pt. 2, pp.95–6.
De Rijk (1962–7), , vol. II, pt. 2, pp. 96–7.
De Rijk (1962–7), vol. II, pt. 2, p. 97: De hac que constat ex cathegorica et ypothetica nunc dicetur. Sed quia doctrina omnis est sillogismorum cathegoricorum et istarum propositionum ypotheticarum et quia regulis fere eisdem demonstrantur sillogismi cathegorici et huiusmodi ypothetice propositiones, simul dicemus de cathegoricis sillogismis et huiusmodi ypotheticis propositionibus.
De Rijk 1966, pp. 8, 22.
De Rijk 1962–7, vol. II, pt. 2, p. 93.
De Rijk 1970, p. 369.26.
De Rijk 1962–7, vol. II, pt. 2, p. 62.
De Rijk 1962–7, vol. II, pt. 2, p. 47.3.
De Rijk 1962–7, vol. II, pt. 2, p. 52.30.
De Rijk 1962–7, vol. II, pt. 2, p. 60.
De Rijk 1962–7, vol. II, pt. 2: depellere morbos utile est mederique vulneribus utile est (p. 58.4–5; cf., De top. diff. 1188D-1189A). Socrates laudat Tullium; ergo non debet vituperare Demostenem (p. 61.5–6; cf. De top. diff. 1199C).
De Rijk 1962–7, vol, II, pt. 2, p. 46. Cf. ‘Abelard on the Topics’ in my book Dialectic and Its Place in the Medieval Development of Logic, Cornell University Press, forthcoming.
De Rijk 1962–7, vol. II, pt. 2, p. 63.18ff. For identification of the Peter in this passage with Peter Abelard, see De Rijk 1966.
Cf. De Rijk 1962–7, vol. II, pt. 2, pp. 17.6–8, 24.9–11, 34.3–6, 48.5–11, 59.23–29, 63.18–30, 64.1ff.
De Rijk 1970, XXI-XXIII.
De Rijk 1962–7, vol. II, pt. 2, p. 63.
De Rijk 1970, pp. 340.10–25 and 346.30–33.
Cf., e.g., Dal Pra 1969, pp. 243–4, 298, 321, 322.
Cf. De Rijk 1962–7, vol. II, pt. 2, pp. 48.5ff, 59.23ff., and 63.18ff.
For a survey of these commentaries see Green-Pedersen 1974 and 1977. For the commentaries, see Green-Pedersen 1977, esp. pp. 143–4, also 138, 139, 141–2; and Green-Pedersen 1974, pp. 26–7, 27–30.
For the identification of Master P. with Abelard, see Green-Pedersen 1974, pp. 19, 27, and 29; Cf. also Green-Pedersen 1977, p. 141.
Green-Pedersen 1977, p. 141.
Green-Pedersen 1977, p. 156.
Green-Pedersen 1977, pp. 141–2, n. 88.
Green-Pedersen 1977; Green-Pedersen goes too far in claiming that the commentary gives a literal quotation from the Glossae.
Dal Pra 1969, p. 213.
Green-Pedersen 1977, p. 241.7ff.
E.g., De Rijk 1970, pp. 364–9, esp. 368.25–28.
E.g., Dal Pra 1969, p. 244.
Green-Pedersen 1977, pp. 315.12–13 and 318.10–15.
Green-Pedersen 1977, p. 318.22–33.
Green-Pedersen 1977, p. 319.8–15.
Green-Pedersen 1977, p. 319.25–31.
See De Rijk’s summary of the dating of Abelard’s works on logic in De Rijk 1970, pp. XI-XII.
Ed. Bernhard Geyer, in Peter Abaelards Philosophische Schriften, Beiträge zur Geschichte der Philosophie des Mittelalters, XXI, 1–3, (Aschendorf, 1919–27), p. 445.1–3: Locus vero illationis a destructione consequentis secundum eos qui in syllogismo locos recipiunt. Nos vero ubi est perfecta complexio syllogismi, locum non recipimus.
Edited in Dal Pra 1969.
Cf. De Rijk 1970, pp. X-XI.
For a discussion of Abelard’s influence as a logician, cf. D. E. Luscombe, The School of Peter Abelard, (Cambridge University Press, 1969), esp. pp. 70–4, 86–7, 93, and 145–6.
Excerpted in De Rijk 1962–7, vol. II, pt. 1, pp. 292–390. Information about the origin and date of the treatise are given on pp. 272–289.
Excerpted in De Rijk 1962–7, vol. II, pt. 1, pp. 397.
For a correction of De Rijk’s dating of this treatise, see Braakhuis 1979, pp. 407–8, n.89.
De Rijk 1962–7, vol. II, pt. 2, p. 246.1–29.
Cf. the excerpt from this treatise in Jan Pinborg, “Topik und Syllogistik im Mittelalter”, in F. Hoffman et al. (eds.), Sapienter Ordinare. Festgabe für Erich Kleineidam, (St. Benno Verlag, 1969), p. 162.
See Tractatus Anagnini, De Rijk 1962–7, vol. II, pt. 2, pp. 235, 256–7; and Ars Meliduna, De Rijk 1962–7, vol. II, pt. 1, pp. 274, 350, 352, 378–9.
In this respect, Summe Metenses resembles Tractatus Anagnini and Ars Meliduna, though in many other respects it is assimilable to terminist logic treatises.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.10.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.81ff.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.93.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.95.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.98.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 9.26: At quoniam locales priores sunt complexionalibus, utpote partes earum, ideo de localibus primitus doctrinam facientes ad earum evidentiam de loco, a quo firmitatem contrahunt, doceamus.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.99:… qui omnes loci maxime tribus generibus argumentationum subserviunt videlicet inductioni, exemplo et entimemate. Per eosdem inde firmos esse diximus sillogismos in quibus equidem sillogismis nonnulli et predictos locos assignant
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 10.14ff.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 11.01ff.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 12.06–12.08.
William of Lucca, Summa dialectice artis, ed. Lorenzo Pozzi, (Liviana Editrice, 1975), p. 6. References to this work are given by Pozzi’s paragraph numbers., 9.26: Sed cum argumentationum alie sunt locales, alie conplexionales, solas conplexionales dicimus sillogismos….
De Rijk 1962–7, vol. II, pt. 1, pp. 410–14.
De Rijk 1962–7, vol. II, pt. 1, p. 478: Quoniam, ut dicit Philosophus, fines [sic] propter quem omnia alia, [quam] imponit necessitatem et esse eis que sunt ad finem; quo adepto quiescitur —; cum ita se habent in intentione logices, ideo habito de terminis et conditionibus eorum ex quibus fiunt propositines [sic], et de propositionibus et circumstantiis suis, ex quibus fiunt argumentationes, et de locis dialeticis, ex quibus argumenta sumuntur, et de locis sophisticis qui prorsus argumentationem impediunt, quantum introductionis ratio postulabat — nunc videndum est de argumentatione et speciebus eius, maxime de illa que sillogismus dicitur.
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Stump, E. (1988). Logic in the Early Twelfth Century. In: Kretzmann, N. (eds) Meaning and Inference in Medieval Philosophy. Synthese Historical Library, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2843-5_2
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