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Walter Burley on Motion in a Vacuum
Published online by Cambridge University Press: 29 July 2016
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We all ‘know’ that medieval Aristotelians did not believe that a vacuum was possible, and we are complacent in our ‘knowledge’ that they were wrong. Even if we have an inkling of the sophistication of much medieval thinking on this topic, we are unlikely to suppose that anything medievals had to say on the subject is worth the trouble to study. What we may not realize is that not all medievals thought a vacuum or motion in a vacuum was impossible; following Avempace, in fact, many medieval philosophers argued that motion in a vacuum was possible, at least in theory.
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1 Professors Marilyn McCord Adams, Norman Kretzmann, Lang, Helen, and Allen Wood, W. were kind enough to read this paper. I am most grateful for their useful and constructive comments. The errors which remain are my own.Google Scholar
2 215a24–215b20.Google Scholar
3 See Wood, R., ‘Walter Burley's Physics Commentaries,’ Franciscan Studies 44 (1984).Google Scholar
4 de Burley, Gualterus, Expositio super totum I t. c. 4–5, tr. 1; IV t. c. 42, tr. 1, c. 5; VI t. c. 24, tr. 1, c. 4 (Venice 1501; fols. 8vb, 98vb, 183ra).Google Scholar
5 Duns Scotus, Ioannes, Ordinatio II, dist. 2, pars 2, q. 5, nn. 430–38 (ed. Vaticana 7 [Vatican 1973] 346–50). See Grant, Edward, Much Ado About Nothing (Cambridge 1981) 32f. Father Gál, G. has suggested that Burley may be arguing against Franciscus Rubeus de Marchia, who read the Sentences in 1320–23. A Sententia et compilatio super libros Physicorum by Marchia is preserved in MSS Vat. Ottob. lat. 1816, fols. 30–49r, and Munich Clm 5874. See Lohr, Charles, ‘Medieval Latin Aristotle Commentaries, Authors A–F,’ Traditio 23 (1967) 411–12.Google Scholar
6 Burley, Gualterus, Quaestiones super libros Physicorum 39 (Lib. IV, quaest. 6: Utrum vacuum possit esse): MS Basel, Bibl. Univ. F.V.12, fol. 166va–vb:Google Scholar
Quod autem in ista significatione non possit vacuum esse probo, quia si aliquod spatium esset separatum a corpore, et tamen hoc esset natum repleri corpore, sequitur quod duo corpora possunt esse simul et similiter duae dimensiones. Quia tale spatium separatum aut esset in aliqua substantia sicut in subiecto vel non. Si sic, tunc illa substantia esset substantia dimensionata, quia huiusmodi spatium esset dimensionatum. Et si sit substantia dimensionata, ergo est corpus. Si tunc illud spatium possit repleri aliquo corpore, sequitur quod duo corpora essent nata esse simul. Similiter sequitur quod plures dimensiones profundae distinctae possunt esse simul, et sic dimensiones penetrarent se.Google Scholar
Si tale spatium vacuum non sit aliqua substantia, nec in substantia sicut in subiecto, ergo ibi essent dimensiones separatae ab omni substantia, et per consequens quantitas esset sine subiecto, quod est contra naturam. Google Scholar
Similiter sequitur quod illae dimensiones possunt esse simul cum dimensionibus corporis intrinsecis. Hoc est falsum, quia per Philosophum, I huius, sola dimensio facit distare. Licet ergo illa dimensio esset separata ab omni subiecto, adhuc sic distaret ab aliis dimensionibus quod ei repugnaret simul esse cum aliis dimensionibus.Google Scholar
Si dicas quod talis dimensio separata potest esse simul cum aliis dimensionibus: Contra: si illa dimensio vacui permittat secum dimensiones corporis, et (?) multo fortiori permitteret secum aliam dimensionem vacuam [fol. 166vb], et per consequens una pars vacui permitteret secum aliam partem eiusdem vacui, et sic esset possibile quod unum totum [or ro-um] maximum vacuum esset in puncto indivisibili. Quia quaelibet pars vacui permitteret secum aliam partem eiusdem vacui. Sequitur ergo quod dimensiones vacui non permittant secum alias dimensiones, et per consequens vacuum non est, intelligendo per vacuum spatium non repletum corpore, aptum tamen repleri.Google Scholar
7 Note that this is quantity separated from substance and sensible quality, not separated from substance and sensible quantity, as Grant maintains on the basis of a mistake in the printed edition he quotes: The Principle of the Impenetrability of Bodies in the History of Concepts of Separate Space from the Middle Ages to the Seventeenth Century,’ Isis 69 (1978) 64. See appendix § 2.22–30, 78f., 102–5.Google Scholar
8 Grant's major discussion of Burley on motion in a vacuum is found in his 1978 Isis article 567f. In 1979, in an isolated paragraph of another study, Grant indicated that Burley argued for the possibility of motion in a vacuum on the hypothesis that quantity can exist separately: ‘The Condemnation of 1277, God's Absolute Power and Physical Thought in the Late Middle Ages,’ Viator 10 (1979) 233f. But the Isis article reappeared in 1981 without addition or revision: Much Ado About Nothing (above, n. 5) 33.Google Scholar
9 See appendix § 1.15–22; Scotus, Ordinatio II, dist. 2, pars 2, q. 5, nn. 421, 428–35 (ed. Vaticana 7.341, 344–48).Google Scholar
10 Ibid. Google Scholar
11 See appendix § 2.14–17.Google Scholar
12 Aristotle, Physica VI c. 8 (216a26–bl2).Google Scholar
13 See appendix § 2.18–34, 61–69, 80–86; § 3.8–11.Google Scholar
14 Grant, , ‘Impenetrability’ (above, n. 7) 569.Google Scholar
15 We might be tempted to speak of instantaneous motion, but many medievals considered this a contradiction in terms and reserved the term ‘mutation’ or ‘transmutation’ for this purpose. ‘Mutation’ described cases where a new form was introduced; this terminology is designed to avoid suggesting that gradual alteration, however rapid, could accomplish this substantial change. ‘Local mutation,’ or ‘mutation of place,’ sounds odd, but it is found in Latin translations of Aristotle, and it is used in preference to ‘instantaneous motion’ by authors as diverse as Giles of Rome and Peter John Olivi (Egidii Romani Commentaria in octo libros Phisicorum Aristotelis V lect. 3; III lect. 1 [Venice 1502; repr. Frankfurt 1968], fols. 119ra–rb; 50va--51rb; Petrus Ioannis Olivi, Quodlibet I quaest. 1: An Deus possit in uno instanti transferre aliquam rem de uno loco ad alterum per spatium intermedium [Venice 1505; no pagination]). Cf. Ockham, , Expositio physicorum III c. 2 § 7 (ed. Richter, V., Guillelmi de Ockham Opera Philosophica [OPh] 4 [St. Bonaventure, , N.Y. 1985] 438f.).Google Scholar
16 See appendix § 2.35–40, 53–60.Google Scholar
17 See appendix § 2.41–52.Google Scholar
18 See appendix § 2.70–79.Google Scholar
19 See appendix § 2.80–93. The capacity of separated quantity to resist, or rather yield to a natural body entering it, arises from its being incompatible with that natural body, so that such separated quantity could not coexist with a body. It does not ‘arise from the distantia terminorum, that is from the impossibility that in an extended space a body can be in two distinct places simultaneously’ (Grant, ‘Impenetrability’ 567).Google Scholar
20 See appendix § 3.3–15.Google Scholar
21 See appendix § 3.16–23. Here Burley has slipped, and spoken of ‘motus … subito et in instanti,’ where strictly speaking he should have said ‘mutatio … subito et in instanti.’Google Scholar
22 See appendix § 3.24–28.Google Scholar
23 See appendix § 3.29–36.Google Scholar
24 See appendix § 3.37–48; Grant, ‘Impenetrability’ 568 n.68.Google Scholar
25 See appendix § 3.49–64.Google Scholar
26 See appendix § 2.47–52, 70–79.Google Scholar
27 See appendix § 5.5–25; Ockham, , Expositio physicorum IV c. 14 § 5 (edd. Wood, R., G. Gál, Green, R., Giermek, J.; OPh 5 [St. Bonaventure 1985] 155f.). This distinction is certainly not Burley's. His three kinds of resistance are borrowed from Averroës and stated in the fifth part of the large digression devoted to Averroës, ‘On the true causes of succession in motion’: Et dicit Commentator quod ista resistentia quam ponit inter motorem et rem motam contingit tripliciter: vel ex parte moti tantum sicut est in motu corporum caelestium, quoniam in motibus illorum non est aliqua resistentia nisi mobilis ad motorem. Alio modo contingit ista resistentia ex parte medii tantum sicut in motibus corporum simplicium levium et gravium, quoniam in illis res mota non dividitur in motorem et rem motam in actu. Tertio modo contingit ista resistentia ex utroque, scilicet ex re mota et ex mediis, sicut est dispositio in animalibus quae moventur in aqua (Expositio s. totum IV t. c. 71, tr. 2, c. 3, fol. 116ra).Google Scholar
28 See appendix § 6.3–11.Google Scholar
29 See appendix § 6.12–20.Google Scholar
30 Grant, , ‘Impenetrability’ 567.Google Scholar
31 Expositio Physicorum IV c. 12 § 3 (OPh 5.124).Google Scholar
32 Grant, , ‘Impenetrability’ 568.Google Scholar
33 Expositio Physicorum IV c. 11 § 1; § 3 (OPh 5.122, 124).Google Scholar
34 Expositio Physicorum IV c. 12 § 1; 14 § 7 (OPh 5.132, 162).Google Scholar
35 Quodlibet I q. 8 (ed. Wey, J. C., Guillelmi de Ockham, Opera Theologica [OTh] 9 [St. Bonaventure 1980] 45–48). Buridan's similar remarks are quoted by Grant, , ‘The Condemnation of 1277’ (above, n. 8) 233.Google Scholar
36 Magnus, Albertus, Physicorum libri VIII, ed. Borgnet, A. (Opera omnia III; Paris 1890) 279–94.Google Scholar
37 Medievals considered it possible for a movable object to be transmuted from one limit of a vacuum to another instantaneously, without being in any intermediate position, but denied that any distance could actually be traversed instantaneously, without time.Google Scholar
38 Magnus, Albertus, Physicorum libri VIII (above, n. 36) 285, 293.Google Scholar
39 Aquinas, Thomas, In Physicorum Aristotelis IV lect. 10.Google Scholar
40 Weisheipl, James, ‘Motion in a Void: Aquinas and Averroes,’ in A. Maurer (ed.), St. Thomas Aquinas, 1274–1974, Commemorative Studies (Toronto 1974) 1.467–88.Google Scholar
41 Magnus, Albertus, Physicorum libri VIII (above, n. 36) 290.Google Scholar
42 Expositio s. totum IV t. c. 71, tr. 2, c. 4, fol. 115vb.Google Scholar
43 Expositio Physicorum IV c. 14 § 5 (OPh 5.156, 158).Google Scholar
44 Quodlibet I q. 8 (OTh 9.45–48); Brevis Summa IV c. 4 (ed. Brown, S.; OPh 6 [St. Bonaventure 1984] 70).Google Scholar
45 Expositio Physicorum IV c. 14 § 4 (OPh 5.150f.). Ockham's exposition of t. c. 71 was written as a reply to Giles of Rome. Ockham attributed to Giles the view that a vacuum is a separated quantity. And he agrees with Burley that if quantity is assumed to be capable of independent existence, a vacuum consisting of a quantity of space lacking any substance or quality would require time for its traversal. But unlike Burley, Ockham held that such separated quantity would be completely inactive; it could coexist with, or be compatible with, the presence of a moving object. See Ockham, , Expositio Physicorum IV c. 14 § 4 (OPh 5.148). Cf. Moody, E., ‘Ockham and Aegidius of Rome,’ Studies in Medieval Philosophy, Science and Logic (Los Angeles 1975) 170–76.Google Scholar
46 Expositio Physicorum IV c. 14 § 5 (OPh 5.155).Google Scholar
47 Expositio Physicorum IV c. 14 § 5 (OPh 5.155f.).Google Scholar
48 See appendix § 2.31–43. Note that Burley consistently maintained that sola quantitas facit distare; see his Quaestiones 39 (above, n. 6) fol. 166va.Google Scholar
49 Ockham, , Quaest. in IV Sent. 6 (edd. Wood, R., G. Gál, Green, R.; OTh 7 [St. Bonaventure 1984] 71). For a discussion of Ockham's views on the physics of the Eucharist, see Stump, E., Theology and Physics in De sacramento altaris,’ in N. Kretzmann (ed.), Infinity and Continuity in Ancient and Medieval Thought (Ithaca 1982) 213–16.Google Scholar
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