Authors/Thomas Aquinas/physics/L4/lect10: Difference between revisions

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==Lecture 9 The void—reasons for and against ==
==Lecture 10 The meaning of “void”—refutation of those positing the void ==
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|Lecture 9 The void—reasons for and against  
|Lecture 10 The meaning of “void”—refutation of those positing the void  


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|{{a|lib4l9n1|lib. 4 l. 9 n. 1}} Postquam philosophus determinavit de loco, hic determinat de vacuo. Et circa hoc duo facit: primo manifestat suam intentionem; secundo prosequitur propositum, ibi: alii quidem igitur et cetera. Circa primum duo facit: primo ostendit quod ad philosophum naturalem pertinet determinare de vacuo; secundo ostendit quo ordine de vacuo determinandum sit, ibi: incipere autem et cetera. Dicit ergo primo, quod sicut ad philosophum naturalem pertinet determinare de loco an sit et quid sit, ita et de vacuo: quia per similes rationes aliqui crediderunt et discrediderunt esse locum et vacuum. Illi enim qui dicunt esse vacuum, ponunt ipsum ut quemdam locum et quoddam vas: quod quidem vas vel locus videtur esse plenum, cum habet intra se aliquam molem alicuius corporis; sed quando non habet, dicitur esse vacuum: ac si idem subiecto sit locus et vacuum et plenum, sed differant solum secundum rationem.
|{{a|lib4l10n1|lib. 4 l. 10 n. 1}} Dixerat superius philosophus a tribus esse incipiendum: postquam ergo prosecutus est duo eorum, ponens scilicet opiniones negantium et affirmantium vacuum esse, hic prosequitur tertium, communes scilicet opiniones hominum de vacuo demonstrans. Circa hoc igitur tria facit: primo ostendit quid significetur nomine vacui; secundo ostendit quomodo vacuum aliqui esse posuerunt, ibi: quoniam autem de loco etc.; tertio excludit rationes ponentium vacuum esse, ibi: neque una autem et cetera. Circa primum duo facit: primo dicit de quo est intentio; secundo exequitur propositum, ibi: videtur autem et cetera.


|494. Having discussed place, the Philosopher now begins to treat of the void. Concerning it he does two things:  First he manifests his intention:  Secondly, he executes it, at no. 497.  As to the first, he does too things:  First he shows that it is proper for the natural philosopher to deal with the void;  Secondly, he shows what order should be followed in determining the matter of the void, at no. 495. He says therefore, first [340 {{physics|4|bk213a11|213 a11}}] that it is the task of the natural philosopher to determine about the void just as it was his task to determine about place: whether it exists, what it is. For the same reasons have led to belief or disbelief in the existence both of place and of the void. For those who posit a void think of it as a place and vessel, which vessel or place seems to be full when it has within it the mass of some body; but when it does not it is said to be a void. It is as though the same thing as to subject is place and void and full, any differing among them being only in the mind.   
|506. The Philosopher had said above that we I must start with three things. So now, having finished two of them, by giving, namely, the opinions of both of those who posited and of those who rejected the void, he now enters upon the third, by showing, namely, the general notions people have about the void.  Concerning this he does three things:  First he shows what is meant by the word “void”;  Secondly, how some thought that the void exists, at no. 513; Thirdly, he rejects the reasons given by those who posit that a void exists, at no. 515.  As to the first he does two things:  First he reveals his intention; Secondly, he executes it, at no. 509.   


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|{{a|lib4l9n2|lib. 4 l. 9 n. 2}} Deinde cum dicit: incipere autem oportet etc., ostendit quo ordine determinandum sit de vacuo. Et dicit quod oportet incipere ab hoc, quod ponamus rationes eorum qui dicunt vacuum esse; et iterum eorum qui dicunt vacuum non esse; et iterum communes opiniones de vacuo, quid scilicet ad rationem vacui pertineat.
|{{a|lib4l10n2|lib. 4 l. 10 n. 2}} Dicit ergo primo quod, cum dictum sit quod quidam posuerunt vacuum esse, quidam vero negaverunt; ad cognoscendum qualiter se habeat veritas, oportet accipere tanquam principium, quid significet nomen vacui. Sicut enim cum dubitatur an aliqua passio insit alicui subiecto, oportet accipere pro principio quid sit res, ita cum dubitatur de aliquo an sit, oportet accipere pro medio quid significet nomen. Quaestio enim quid est sequitur quaestionem an est.


|495. Then [341 {{physics|4|bk213a19|213 a19}}] he shows what order must be followed in determining about the void. And he says that we must begin by giving the reasons of those who claim that the void exists; then the opinions of those who claim it does not exist; and then the general opinions about the void; namely, what belongs to the notion of the void.   
|507. He says first, therefore [349 {{physics|4|bk213b30|213 b30}}], that since it was pointed out that some people affirmed a void and others denied it, in order to get at the truth we must begin by the meaning of the word “void.” For just as, when there is question about some property existing in a subject, we must begin by agreeing what the thing is, so when there is question about the existence of something, we must begin by taking as the middle form the meaning of the word. For the question of what something is comes after the question of whether it exists.   


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|{{a|lib4l9n3|lib. 4 l. 9 n. 3}} Deinde cum dicit: alii quidem igitur tentantes monstrare etc., prosequitur quod dictum est. Et primo praemittit ea quae sunt necessaria ad inquirendum veritatem de vacuo; secundo incipit inquirere veritatem, ibi: quoniam autem non est et cetera. Circa primum duo facit: primo ponit rationes ponentium et negantium esse vacuum; secundo ponit communem opinionem de vacuo, ostendens quid sit de ratione vacui, ibi: ad quale autem et cetera. Circa primum duo facit: primo ponit rationem negantium esse vacuum; secundo rationes affirmantium, ibi: sed affirmantes et cetera.
|{{a|lib4l10n3|lib. 4 l. 10 n. 3}} Deinde cum dicit: videtur autem vacuum etc., ostendit quid significet nomen vacui: et primo ponit significationem communiorem; secundo significationem secundum usum Platonicorum, ibi: alio autem modo et cetera. Circa primum tria facit: primo ostendit quid significet nomen vacui; secundo quid oportet addere ad illam significationem, ibi: sed inconveniens est etc., tertio removet quandam dubitationem, ibi: unde et si et cetera.


|496. Then [342 {{physics|4|bk213a22|213 a22}}] he begins to follow this program: First sets down preliminary notions that are necessary for discovering the truth about the void;  Secondly, he begins to search for the truth, at no. 520 (L.11).  About the first he does two things:  First he gives the reasons of those who posit or deny the existence of the void;  Secondly, the common opinion about the void, showing what is included in its notion, at no. 506 (L. 10).  As to the first he does two things:  First he gives the reason of those who deny the existence of the void;  Secondly, the reasons of those who affirm it, at no. 499.   
|508. Then [350 {{physics|4|bk213b31|213 b31}}] he shows that it meant by the word “void”. First he gives the more common meaning;  Secondly, what the Platonists took it to mean at no. 512.  As to the first he does three things:  First he shows what the word “void” means;  Secondly, what should be added to that meaning at no. 510;  Thirdly, he clears up a doubt, at no. 511.   


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|{{a|lib4l9n4|lib. 4 l. 9 n. 4}} Dicit ergo primo, quod aliqui antiquorum philosophorum, volentes monstrare non esse vacuum, in hoc peccaverunt, quod non arguebant contra rationem ponentium esse vacuum. Non enim ostendebant non esse vacuum, sed inducebant rationes suas ad ostendendum quod plenum aere non est vacuum, ut patet de Anaxagora et aliis similiter argumentantibus, qui ad destruendum vacuum volebant demonstrare quod aer sit aliquid: et ita, cum vacuum sit in quo nihil est, sequitur quod plenum aere non sit vacuum. Quod autem aer sit aliquid, demonstrabant, litigantes cum suis adversariis, per utres; qui cum sint inflati, possunt aliquod pondus sustinere: quod non esset, nisi aer esset aliquid. Et sic demonstrant quod aer est fortis. Et etiam per hoc quod accipiunt aerem in clepsydris, idest in vasis furantibus aquam: in quibus cum attractione aeris attrahitur aqua, vel etiam impeditur introitus aquae, nisi exeat aer. Patet igitur quod isti non obiiciunt ad positionem: quia omnes ponentes esse vacuum, volunt esse vacuum spatium, in quo nullum corpus sensibile est: propter hoc quod omne quod est, opinantur esse corpus sensibile, et sic ubi non est corpus sensibile, credunt nihil esse. Unde cum aer sit corpus modicum sensibile, opinantur quod ubi non est nisi aer, sit vacuum.
|{{a|lib4l10n4|lib. 4 l. 10 n. 4}} Dicit ergo quod secundum opinionem hominum, videtur vacuum nihil aliud significare quam locum in quo nihil sit. Et huius causa est, quia proprie vacuum dicitur esse, in quo non est aliquod corpus: quia soli corpori convenit quod sit in loco; et vacuum nihil aliud potest significare quam locum absque locato. Sed quia homines opinantur quod omne ens sit corpus, sequitur secundum eorum opinionem quod ubi non est corpus, nihil sit. Et ulterius opinantur quod omne corpus sit tangibile, id est habens tangibiles qualitates. Et huiusmodi corpus est quod est grave vel leve: nondum enim erat notum quod corpus caeleste esset praeter naturam quatuor elementorum. Unde cum proprie de ratione vacui sit quod sit locus in quo non est aliquod corpus, sequitur quod vacuum sit in quo non est corpus grave vel leve: non quidem quod hoc sit de ratione vacui secundum primam impositionem nominis, sed secundum quandam syllogisticam deductionem ex communi opinione hominum, opinantium omne corpus esse grave vel leve: sicut etiam secundum opinionem communem hominum existimantium omne ens esse corpus, sequitur vacuum esse in quo nihil est. Sic igitur tribus modis potest accipi huius nominis significatio: una est propria, scilicet vacuum est locus in quo non est corpus: aliae duae secundum opinionem hominum; quarum una est communior, scilicet vacuum est locus in quo nihil est; alia vero est magis coarctata, scilicet vacuum est locus in quo non est corpus grave vel leve.


|497. He says first therefore [342 {{physics|4|bk213a22|213 a22}}] that some of the earlier philosophers desirous of demonstrating that the void does not exist erred by not arguing against the reasons given for the existence of the void. For they did not show that the void does not exist, but gave their reasons to show that something full of air is not a void, as is evident from Anaxagoras and others who reasoned like him. In order to destroy the void they wanted to demonstrate that air is something, and thus, since the void is that in which nothing exists, it followed that something full of air is not a void.  In debating with their adversaries, they showed that air is something by means of wine skins which, when inflated, could support a weight, and which would not happen unless air were something. This also showed that air has strength. Also they showed it by taking the air in clepsydras, i.e., in vessels that absorb water; in these vessels water is drawn in by drawing in air, or water is prevented from entering, unless the air be withdrawn.  It is clear therefore that they are not objecting against those who posit a void, because all such claim it is empty space in which no sensible body exists, for they assume that whatever exists is body perceptible to sense, and thus, where no sensible body exists, they believe nothing exists. Hence, since air is a body scarcely perceptible to sense, they thought that where there was nothing but air the void existed.   
|509. He says therefore that according to common opinion, the void seems to signify nothing more than a place In which there is nothing. The reason for this is because properly that is said to be a void in which there is not any body, and since only a body can be in place, void seems to mean nothing more than a place without any thing in it. But because people suppose that every being is a body, it follows that according to their opinion where there is not body, there is nothing. And further they believe that every body is tangible, i.e., that it has tactile qualities. And a body of this kind is heavy or light: for in their time it was not yet known that a heavenly body is different in nature from any of the four elements. Hence since it is the very nature of the void to be a place in which there is not a body, it follows that the void is that in which there is neither a light nor a heavy body. However, this is not to say that it belongs to the notion of the void according to the primary meaning of the word, but rather by reason of a certain syllogistic deduction that starts with the general opinion of people that every body is either heavy or light; just as the common opinion of people that every being is a body, leads to the conclusion that the void is that in which there is nothing.  Consequently, the meaning of this word “void” is three-fold: one is proper, namely, that the void is that in which there is not any body; the others come from the general opinion of people: the first is more common, namely, that the void is a place in which nothing exists; the second is more restricted, namely, that the void is a place in which there is neither a heavy nor a light body.   


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|{{a|lib4l9n5|lib. 4 l. 9 n. 5}} Ad destruendum igitur eorum positionem, non sufficit ostendere quod aer sit aliquid: sed oportet ostendere quod non sit aliquod spatium sine corpore sensibili. Quod quidem dupliciter aliqui ponebant esse vacuum: uno modo sicut separatum a corporibus, ut si diceremus spatium quod est infra extremitates alicuius domus, esse vacuum; alio modo sicut actu existens inter corpora, quod distinguit corpora ab invicem ut non sint continua, ut dixerunt Democritus et Leucippus et multi aliorum naturalium philosophorum. Imaginabantur enim quod si totum ens esset continuum, omnia essent unum: non enim esset assignare quare magis distinguerentur corpora plus hic quam ibi. Unde inter omnia corpora distincta, ponebant interesse aliquod spatium vacuum, in quo nullum ens esset. Et quia Democritus ponebat corpora componi ex multis corporibus indivisibilibus, ponebat in intermedio illorum corporum indivisibilium esse quasdam vacuitates, quas dicebat poros; et sic omnia corpora dicebat componi ex pleno et vacuo. Vel si etiam totum corpus mundi sit continuum, et non sit inter partes universi aliqua vacuitas, ponebant tamen vacuum esse extra totum mundum. Manifestum est igitur quod praedicti philosophi volentes destruere vacuum, non inducebant rationem ad quaestionem secundum positionem aliorum. Debuissent enim ostendere quod nullo illorum modorum sit vacuum.
|{{a|lib4l10n5|lib. 4 l. 10 n. 5}} Deinde cum dicit: sed inconveniens est etc., ostendit quid addendum sit ad hanc significationem. Dicit enim quod inconveniens est si dicatur quod punctum sit vacuum, cum tamen de puncto dici possit quod in puncto non sit corpus tangibile. Oportet ergo addere quod vacuum sit locus in quo non sit corpus tangibile, sed sit ibi spatium susceptivum corporis tangibilis: sicut caecum dicitur quod caret visu, natum autem habere. Et sic concludit quod uno modo dicitur vacuum, spatium quod non est plenum corpore sensibili secundum tactum, quod scilicet est grave vel leve.


|498. Therefore, to destroy their position it is not enough to show that air is something, but also one must show that there is no space without a sensible body. Space was supposed to be a void in two ways: first, as something separated from bodies, as though we were to say that the space within the confines of a house is a void; secondly, as something existing In act between bodies, preventing them from being continuous, as Democritus and Leucippus and many of the other natural philosophers held. For they imagined that if the totality of being were continuous, all things would be one: for there would be no more reason for distinguishing bodies at one point rather than another.. Hence between all distinct bodies they posited intervals of empty space in which no being existed. And since Democritus posited that bodies are composed of many indivisible bodies, he posited between those indivisibles certain empty places which he called “pores”.- in this way he explained that all bodies are composed of the full and of the empty. Or if the entire body of the world are continuous and no such empty place existed between the parts of the universe, they yet posited a void existing outside the universe. It is evident therefore that the aforementioned philosophers who tried to reject the void did not answer the problem as laid down by others. For they should have shown that the void does not exist in any of those ways.   
|510. Then [351 {{physics|4|bk214a4|214 a4}}] he shows that must be added to this meaning. For he says that it is not correct to say that a point is a void, even though in a point there is no tangible body. So we must add that the void to a place in which there is not a tangible body, but which has in it space to receive a tangible body, just as a blind person is said to be one who lacks sight but to apt to have it. And so he concludes that in one way the void is called a space which is not full of a body that is sensible by touch, i.e., a body that is heavy or light.   


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|{{a|lib4l9n6|lib. 4 l. 9 n. 6}} Deinde cum dicit: sed affirmantes esse etc., ponit rationes ponentium esse vacuum. Et primo eorum qui locuti sunt de vacuo naturaliter; secundo eorum qui locuti sunt non naturaliter, ibi: esse autem affirmaverunt et cetera. Circa primum duo facit: primo ponit rationem eorum qui ponebant vacuum esse quoddam spatium a corporibus separatum; secundo eorum qui ponebant vacuum in corporibus, ibi: alio vero modo et cetera. Circa primum duo facit: primo ponit rationem ponentium esse vacuum; secundo ponit quomodo Melissus e converso illa ratione utebatur, ibi: Melissus quidem igitur et cetera.
|{{a|lib4l10n6|lib. 4 l. 10 n. 6}} Deinde cum dicit: unde et si dubitabit aliquis etc., removet quandam dubitationem, quae est: utrum si in aliquo spatio sit color vel sonus, dicendum sit vacuum vel non: et hoc propter definitionem primo datam, scilicet vacuum est in quo nihil est. Et solvit quod si spatium in quo est tantum sonus vel color, sit susceptivum corporis tangibilis, vacuum est: si vero non, non est vacuum. Et hoc ideo, quia haec non est propria definitio vacui, vacuum est in quo nihil est, nisi secundum opinionem credentium, ubi non est corpus nihil esse.


|499. Then [343 {{physics|4|bk213b3|213 b3}}] he sets forth the reasons of those who posited a void.  First, those who spoke of the void naturally;  Secondly, of those who spoke of it non-naturally, at no. 505. As to the first he does two things:  First he mentions the reason given by those who held that the void is a space separated from bodies;  Secondly, by those who held for a void in bodies, at no. 502.  Concerning the first he does two things:  First he gives the reason of those who posited a void;  Secondly, how Melissus used that reason conversely, at no. 501.   
|511. Then [352 {{physics|4|bk214a9|214 a9}}] he clears up the following difficulty; If there is color or sound in a certain space, should it be called a void or not? This question arises because the definition first given says that the void is that in which there is nothing. And he answers by saying that if the space in which there is just sound or color has room for a tangible body, it is a void; if not, not. The reason is that the proper definition of the void is not “that in which there is nothing,” and such a definition is held only by people who believe that where no body is, nothing is.   


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|{{a|lib4l9n7|lib. 4 l. 9 n. 7}} Dicit ergo primo, quod illi qui affirmabant vacuum esse, magis inducebant rationes ad propositum. Quarum una erat, quod motus secundum locum, qui est loci mutatio et augmentatio, ut supra dictum est, non esset si vacuum non esset. Quod sic ostendebant. Si enim aliquid movetur secundum locum, non potest moveri in plenum; quia locus plenus uno corpore, non potest recipere aliud. Quia si reciperet, sequeretur duo corpora esse in eodem loco; et eadem ratione sequeretur de quocumque: non enim potest assignari differentia quare duo corpora sint in eodem loco et non plura. Et si hoc contingit, scilicet quod quotcumque corpora sint in eodem loco, sequetur quod parvissimus locus possit recipere maximum corpus; quia multa parva constituunt unum magnum. Unde si multa parva aequalia sint in uno loco, et multa inaequalia. Sic ergo probata hac conditionali, quod si motus est, vacuum est, arguebant a positione antecedentis: motus est; ergo vacuum est.
|{{a|lib4l10n7|lib. 4 l. 10 n. 7}} Deinde cum dicit: alio autem modo etc., ponit aliam significationem vacui secundum usum Platonicorum. Et dicit quod alio modo dicitur esse vacuum: in quo non est hoc aliquid, neque aliqua substantia corporea. Fit autem hoc aliquid per formam. Unde aliqui dicunt materiam corporis, secundum quod est absque forma, esse vacuum: qui etiam materiam dicunt esse locum, ut supra dictum est. Sed non bene dicunt: quia materia non est separabilis a rebus quarum est materia; sed homines quaerunt locum et vacuum, tanquam aliquid separabile a corporibus locatis.


|500. He says therefore first [343 {{physics|4|bk213b3|213 b3}}] that those who affirmed the existence of the void gave more opposite reasons. One of which was that motion is respect of place, i.e., change of place and increase, as was said above, would not exist if there were no void. They showed this in the following manner: If something is in motion according to place, it cannot be moved into what is full because a place filled with one body cannot receive another. For, if it received it there would then be two bodies in the same place—and the same would follow for any [additional] body: for there is no reason why many bodies could not be in the same place if two could. And if that were to happen, i.e., that any number of bodies were in the same place, it would follow that the smallest place could receive the largest body—because many small things form one large thing. Hence, if any small equal bodies could exist in the same place, then also many could. And so, having proved this conditional position that there is motion, there is a void, they argue (by positing the antecedent): “But there is motion; therefore, there is a void.”  
|512. Then [353 {{physics|4|bk214a11|214 a11}}] he gives the meaning of “void” as used by the Platonists. And he says that there is another meaning of the void: that in which there is no “this something” or any corporeal substance. Now a “this something” comes about on account of the form. Hence some claim that the matter of a body, insofar as it is apart from its form, is the void. These are the same who claim that matter is place, as was stated above (L.3). But this is poor judgment, for matter is not separable from the things of which it is the matter; whereas men inquire about place and the void as being separable from bodies in place.   


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|{{a|lib4l9n8|lib. 4 l. 9 n. 8}} Deinde cum dicit: Melissus quidem igitur etc., ostendit quod Melissus, supposita eadem conditionali, argumentabatur e contra a destructione consequentis: quia si motus est, vacuum est; sed vacuum non est; ergo motus non est: ergo totum ens est immobile. Iste est igitur unus modus quo aliqui probabant vacuum esse quasi separatum.
|{{a|lib4l10n8|lib. 4 l. 10 n. 8}} Deinde cum dicit: quoniam autem de loco etc., ostendit quomodo aliqui ponebant vacuum esse. Et primo quid dicebant esse vacuum; secundo propter quid vacuum ponebant, ibi: et propter eadem acceptum et cetera. Dicit ergo primo, quod quia vacuum est locus privatus corpore, et determinatum est de loco quomodo sit et quomodo non sit (dictum est enim quod locus non est aliquod spatium, sed terminus continentis); manifestum est etiam quod neque vacuum est spatium separatum a corporibus, neque intrinsecum corporibus, sicut ponebat Democritus. Et hoc ideo, quia ponentes vacuum quocumque istorum modorum, volunt quod vacuum non sit corpus, sed spatium corporis. Ideo enim videbatur aliquid esse vacuum, quia locus aliquid est: et sicut locus videbatur esse spatium, ita et vacuum. Si ergo locus non est aliquod spatium praeter corpora, neque vacuum potest esse spatium praeter corpora. Et cum de ratione vacui sit quod sit spatium corporis praeter corpora, ut supra dictum est, sequitur quod vacuum non sit.


|501. Then [344 {{physics|4|bk213b12|213 b12}}] he shows how Melissus, supposing the same conditional, argued in a contrary manner from the denial of the consequent, and reasoned thus: if motion exists, there is a void; but there is no void; therefore motion does not exist. Consequently, the totality of being is immobile.  Thus the foregoing is one way in which some proved that the void exists after the fashion of something separate.   
|513. Then [354 {{physics|4|bk214a16|214 a16}}] he tells how some posited existence of a void;  First, what they said the void was;  Secondly, why they posited it, at no. 514.  He says therefore first that since the void is a place without a body in it, and since we have already decided how place exists and how it does not (for we have said that place is not a space but the boundary of a container), it is clear that the void is neither a space separated from bodies nor intrinsic to them as Democritus supposed. This is so because those who suppose that space exists in either of those two ways, intend the void to be not a body, but the space of a body. For they thought that the void was something because place was something, and just as place seems to be space, so also the void. But if place is not a space outside of bodies, neither can the void be a space outside of bodies. And since it is the very nature of the void to be a bodily space existing outside of bodies, as was said above, it follows that the void does not exist.   


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|{{a|lib4l9n9|lib. 4 l. 9 n. 9}} Deinde cum dicit: alio vero modo, quia videntur etc., ponit tres rationes ponentium vacuum esse in corporibus. Quarum prima est ex his quae condensantur. Videntur enim eorum quae inspissantur, partes coire vel convenire in invicem, et se invicem calcare et comprimere, ita quod sicut fertur, dolia tantum de vino recipiunt cum utribus, quantum etiam sine utribus, et praecipue si utres sint subtiles; propter hoc quod vinum in utribus condensari videtur. Hanc autem condensationem fieri existimabant ac si densato corpore, partes subintrarent in quasdam vacuitates.
|{{a|lib4l10n9|lib. 4 l. 10 n. 9}} Deinde cum dicit: et propter eadem acceptum etc., ostendit quare posuerunt vacuum. Et dicit quod propter idem acceperunt vacuum esse, propter quod acceperunt locum esse, scilicet propter motum, ut supra dictum est: quia provenit ut salvetur motus secundum locum, tam secundum illos qui dicunt locum aliquid esse praeter corpora quae sunt in loco, quam secundum illos qui ponunt vacuum esse. Negantibus autem locum et vacuum, non provenit motum secundum locum esse. Et sic vacuum quodammodo opinantur causam esse motus eo modo quo et locum, ut in quo scilicet est motus.


|502. Then [345 {{physics|4|bk213b15|213 b15}}] he lists three reasons given by those who held that the void exists in bodies. The first of these is based on things that condense. For in the case of things that can be compressed it seems that the parts come together and fit in together and press down and compress each other so that, as is held, casks will hold as much wine with the wine skins as without, especially if the wine skins are thin, because in the wine skins the wine seems to become condensed. This condensation they believed to take place as though in the condensed body the parts entered into certain empty spaces.   
|514. Then [355 {{physics|4|bk214a21|214 a21}}] he shows why they posited a void. And he says that they admitted the existence of the void for the same reason that they admitted place, namely, on account of motion, as we said above: for it comes about that local motion is saved, both for those who assert that place is something over and above the bodies which are in place and for those who claim that the void exists. But for those who deny place and the void, there cannot be local motion. Consequently, some believed that the void is a cause of motion in the way that place is, i.e., as that in which motion takes place.   


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|{{a|lib4l9n10|lib. 4 l. 9 n. 10}} Secundam rationem ponit ibi: amplius autem et augmentum etc.: quae sumitur ex augmento. Augentur enim corpora per alimentum, quod corpus quoddam est. Duo autem corpora non possunt esse in eodem loco; ergo oportet esse aliquas vacuitates in corpore augmentato, in quibus recipiatur alimentum. Et sic necesse est esse vacuum ad hoc quod recipiatur alimentum.
|{{a|lib4l10n10|lib. 4 l. 10 n. 10}} Deinde cum dicit: neque una autem necessitas est etc., excludit rationes ponentium vacuum esse. Et non intendit hic rationes praemissas vera solutione solvere; sed instantiam dare ex qua ex ipso aspectu apparet, quod rationes non ex necessitate concludunt. Primo ergo excludit rationes ponentium vacuum separatum; secundo ponentium vacuum in corporibus, ibi: contingit autem densari et cetera.


|503. The second reason he gives [346 {{physics|4|bk213b18|213 b18}}] is based on increase: For a body grows on account of food, which is a body. But two bodies cannot exist in the same place. Therefore there must be, in the body which has grown, certain voids in which the food may be received. Consequently, there must be a void in order that food be taken in,   
|515. Then [356 {{physics|4|bk214a26|214 a26}}] he rejects the arguments of those who posit existence of the void. He does not, however, intend here to give a true solution to the aforesaid arguments, but to bring an objection which at a glance shows that their arguments do not conclude with necessity.  First therefore he rejects the reasons given by those who posit a separated void;  Secondly, the arguments of those who posit a void existing in bodies, at no. 517.  


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|{{a|lib4l9n11|lib. 4 l. 9 n. 11}} Tertiam rationem ponit ibi: testimonium autem et cetera. Quae sumitur ex vase pleno cinere, quod tantum recipit de aqua, quantum si esset vacuum: quod non esset nisi essent aliquae vacuitates inter partes cineris.
|{{a|lib4l10n11|lib. 4 l. 10 n. 11}} Primam autem rationem excludit dupliciter. Primo quidem, quia non est necessarium si motus sit quod vacuum sit. Et si loquamur universaliter de qualibet specie motus, manifeste apparet quod nequaquam est necessarium. Nihil enim prohibet id quod est plenum, alterari: solus enim motus localis excludi videtur si vacuum non ponatur. Et hoc latuit Melissum, dum credidit remoto vacuo omnem speciem motus auferri. Secundo excludit eandem rationem per hoc quod neque motus localis tollitur, si vacuum non sit. Dato enim quod nullum spatium separabile sit praeter corpora quae moventur, potest motus localis esse per hoc quod corpora subintrent se invicem per modum inspissationis, et sic aliquid in plenum movetur, et non in vacuum. Et hoc apparet manifeste in generationibus corporum continuorum, et praecipue in humidis, sicut videtur in aqua. Si enim proiiciatur lapis in aliquam magnam latitudinem aquae, manifeste apparet fieri quasdam circulationes circa locum percussionis, quousque pars aquae depulsae commoveat aliam et subintret ipsam: unde quia modica pars aquae subintrat per quandam diffusionem in maiorem aquam, circulationes praedictae a parvo in maius procedunt, quousque totaliter deficiant.


|504. The third reason [347 {{physics|4|bk213b21|213 b21}}] is based on a vessel full of ashes being able to absorb as much water as the empty vessel. This would not be the case unless there were empty spaces between the parts of the ashes.   
|516. He rejects the first reason in two ways: First, because even though motion exists, it does not necessarily follow that the void exists. And if we speak generally of any species of motion, it is clear that the void is not necessary at all. For nothing prevents the full from being altered [i.e., having motion in quality], since only local motion seems to be excluded if the void is not posited. Yet Melissus did not see this, for he believed that if there were no void, no motion of any kind could exist.  Secondly, he rejects the same reason on the ground that not even local motion is destroyed, if there is no void. For, assuming that there is no separable space over and above moving bodies, local motion can take place, if bodies make room for one another by contracting: thus they would be moving into the full rather than into the empty. This is evident in the generations of continuous bodies, especially in liquids, such as water. For if a stone is thrown into a large surface of water, circles appear around the place of entry as long as one part of the moving water agitates another part and enters it. Hence, because a small portion of water by a process of diffusion enters a larger section, the circles grow from small to large until they cease entirely.   


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|{{a|lib4l9n12|lib. 4 l. 9 n. 12}} Deinde cum dicit: esse autem affirmaverunt etc., ponit opiniones non naturalium de vacuo. Et dicit quod etiam Pythagorici affirmaverunt esse vacuum: quod quidem ingrediebatur infra partes mundi a caelo, propter vacuum infinitum, quod ponebant esse extra caelum quasi quendam aerem vel spiritum infinitum: ut sicut ille qui respirat, dividit suo flatu aliqua faciliter divisibilia, ut aquam aut huiusmodi, ita ex aliquo quasi respirante, ingrederetur distinctio in res; quam non intelligebant fieri nisi per vacuum, sicut de Democrito dictum est: ac si vacuum nihil esset aliud quam distinctio rerum. Et quia prima distinctio et pluralitas invenitur in numeris, ideo vacuum primo ponebant in numeris: ut per naturam vacui una unitas distingueretur ab alia, ne numerus sit continuus, sed habeat naturam discretam. Sed quia isti quasi aequivoce loquebantur de vacuo, appellantes rerum distinctionem vacuum, propter hoc infra de hac opinione non prosequitur. Ultimo autem quasi epilogando concludit, dictum esse propter quid quidam dicunt esse vacuum, et quidam non dicunt.
|{{a|lib4l10n12|lib. 4 l. 10 n. 12}} Deinde cum dicit: contingit autem densari etc., excludit rationes ponentium vacuum in corporibus. Et primo rationem quae procedebat ex condensatione. Et dicit quod contingit corpora condensari, et partes corporis subintrare sibi invicem, non propter hoc quod pars subintrans vadat in locum vacuum; sed ideo quia erant aliqua foramina, plena aliquo corpore subtiliori, quod facta condensatione elabitur: sicut quando aqua colliditur et inspissatur, aer qui intus erat, excluditur. Et haec maxime apparent in spongia, et in huiusmodi corporibus porosis. Haec igitur solutio non ostendit causam condensationis, quam inferius ponit: sed ostendit quod etiam per hunc modum manifeste excludi potest necessitas vacui.


|505. Then [348 {{physics|4|bk213b22|213 b22}}] he gives the opinions of the non-natural philosophers about the void. And he says that the Pythagoreans also posited a void which entered into the parts of the universe from the heavens, on account of the infinite void which they supposed existed outside the heavens—a void like some infinite air or infinite spirit [i.e. breath]: just as a person who breathes divides by means of his breath certain things that are easy to divide, such as water or similar things, so it was that the things of this world became distinct by some being as though through breathing. They did not understand this to except through a void, as was mentioned in regard to Democritus—as though the void were nothing other than the distinction between things. And because the first distinction and plurality is found in numbers, therefore they first of all posited a void in numbers, so that it is through the nature of the void that one unit would be distinct from another—so that number would not be continuous but would have a discrete nature. But because they spoke of the void in a quasi-equivocal manner, calling the distinction of things “a void” Aristotle does not discuss this opinion below.  Finally, in summary, he concludes that we have given the reasons why some posit a void and why some do not.   
|517. Then [357 {{physics|4|bk214a32|214 a32}}] he rejects the reasons given by those who posit a void in bodies. And first of all the reason based an condensation. And he says that bodies happen to become condensed, and parts of a body mutually penetrate, not because the invading part is entering an empty place but because there were certain openings, full of a more subtle body which escapes under condensation, just when water is compressed and contracted, the air that was present is expelled. This takes place manifestly in a sponge and other like porous bodies. Therefore this solution does not give the reason for condensation (he will give this later [L.14]: but it does show that also in this way, the need of a void can be clearly eliminated. 
 
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|{{a|lib4l10n13|lib. 4 l. 10 n. 13}} Secundo ibi: et augmentari etc., excludit rationem quae procedit ex augmento. Et dicit quod augmentum contingit esse non solum per additionem alicuius corporis ingredientis in corpus augmentatum, ut sic necesse sit esse vacuum, sed etiam per alterationem: sicut cum ex aqua fit aer, maior fit quantitas aeris quam erat aquae. Et haec etiam non est vera solutio rationis inductae: sed solum instantia quaedam, ne sit necesse ponere vacuum. Vera autem solutio ponitur in libro de generatione, ubi ostenditur quod alimentum non sic transit in id quod augetur, quasi sit aliud corpus ab ipso; sed quia convertitur in substantiam eius, sicut ligna apposita igni, convertuntur in ignem.
 
|518. Secondly [358 {{physics|4|bk214b1|214 b1}}] he rejects the argument based on growth. And he says that growth occurs not only by the addition of some body invading the growing body so as to make the void necessary but also by alteration, as, when air comes to be from water, the quantity of air becomes greater than the quantity of water. This too is not the true solution of their argument but merely an objection showing that it is not necessary to posit a void. The true solution is given in the book “De Generatione, where it is shown that food does not pass into that which grows as to be a body distinct from it; rather it is converted into its substance, as wood added to fire is converted into fire. 
 
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|{{a|lib4l10n14|lib. 4 l. 10 n. 14}} Tertio ibi: omnino autem et quae est de augmento etc., excludit simul et rationem de augmento et rationem de aqua effusa in cinerem: et dicit quod utraque ratio impedit seipsam. Quod sic patet. Est enim circa augmentum haec dubitatio. Videtur enim vel quod non totum augeatur; vel quod augmentum non fiat per additionem corporis, sed per additionem alicuius incorporei; aut quod contingat duo corpora esse in eodem loco. Hanc igitur dubitationem, quae communiter videtur esse tam contra ponentes vacuum, quam contra non ponentes, volunt solvere. Sed tamen non demonstrant quod vacuum sit; vel oportet eos dicere, si augmentum sit propter vacuum, quod totum corpus sit vacuum, cum totum corpus augeatur. Et similiter dicendum est de cinere: quia si vas plenum cinere recipit tantum de aqua quantum vacuum, oportet dicere quod totum sit vacuum. Non est igitur hoc propter vacuitatem: sed propter commixtionem in aqua. Aqua enim commixta cineri condensatur, et aliqua pars eius exhalat; et iterum partes cineris magis inspissantur humefactione: cuius signum est, quod non potest extrahi tantum de aqua, quantum prius fuit. Ultimo autem concludit quod manifestum est, quod facile est solvere ea ex quibus demonstrant vacuum esse.
 
|519. Thirdly [359 {{physics|4|bk214b3|214 b3}}] he rejects together both the argument about increase [in growth] and that about water poured on ashes and says that each of these arguments blocks the other. This is evident as follows. For there is in respect to increase this difficulty: it seems either that the whole body is not being increased, or that increase does not come about by the addition of body but by the addition of something incorporeal, or that two bodies can be in the same place. Now it is this difficulty, which seems to be against both these who posit a void and against those who do not, that they wish to solve. But they do not show that the void exists, or, if increase is due to the void, then they would have to say that the whole body is a void, since the whole body is increased. Likewise, in regard to the ashes: for if a vessel full of ashes can take as much water as the empty vessel, then one has to say that the whole container must be a void. Therefore this is not due to empty space but to being mixed in with the water. For when water is mixed with ashes it condenses and part of it evaporates; moreover, parts of the ash are condensed on account of the moisture, and a sign of this is that not as much water can be recovered as was put in.  Finally, he concludes that it is clearly easy to solve the arguments by which they prove the existence of a void.   


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Latest revision as of 16:31, 30 October 2014

Lecture 10 The meaning of “void”—refutation of those positing the void

Latin English
Lecture 10 The meaning of “void”—refutation of those positing the void
lib. 4 l. 10 n. 1 Dixerat superius philosophus a tribus esse incipiendum: postquam ergo prosecutus est duo eorum, ponens scilicet opiniones negantium et affirmantium vacuum esse, hic prosequitur tertium, communes scilicet opiniones hominum de vacuo demonstrans. Circa hoc igitur tria facit: primo ostendit quid significetur nomine vacui; secundo ostendit quomodo vacuum aliqui esse posuerunt, ibi: quoniam autem de loco etc.; tertio excludit rationes ponentium vacuum esse, ibi: neque una autem et cetera. Circa primum duo facit: primo dicit de quo est intentio; secundo exequitur propositum, ibi: videtur autem et cetera. 506. The Philosopher had said above that we I must start with three things. So now, having finished two of them, by giving, namely, the opinions of both of those who posited and of those who rejected the void, he now enters upon the third, by showing, namely, the general notions people have about the void. Concerning this he does three things: First he shows what is meant by the word “void”; Secondly, how some thought that the void exists, at no. 513; Thirdly, he rejects the reasons given by those who posit that a void exists, at no. 515. As to the first he does two things: First he reveals his intention; Secondly, he executes it, at no. 509.
lib. 4 l. 10 n. 2 Dicit ergo primo quod, cum dictum sit quod quidam posuerunt vacuum esse, quidam vero negaverunt; ad cognoscendum qualiter se habeat veritas, oportet accipere tanquam principium, quid significet nomen vacui. Sicut enim cum dubitatur an aliqua passio insit alicui subiecto, oportet accipere pro principio quid sit res, ita cum dubitatur de aliquo an sit, oportet accipere pro medio quid significet nomen. Quaestio enim quid est sequitur quaestionem an est. 507. He says first, therefore [349 213 b30], that since it was pointed out that some people affirmed a void and others denied it, in order to get at the truth we must begin by the meaning of the word “void.” For just as, when there is question about some property existing in a subject, we must begin by agreeing what the thing is, so when there is question about the existence of something, we must begin by taking as the middle form the meaning of the word. For the question of what something is comes after the question of whether it exists.
lib. 4 l. 10 n. 3 Deinde cum dicit: videtur autem vacuum etc., ostendit quid significet nomen vacui: et primo ponit significationem communiorem; secundo significationem secundum usum Platonicorum, ibi: alio autem modo et cetera. Circa primum tria facit: primo ostendit quid significet nomen vacui; secundo quid oportet addere ad illam significationem, ibi: sed inconveniens est etc., tertio removet quandam dubitationem, ibi: unde et si et cetera. 508. Then [350 213 b31] he shows that it meant by the word “void”. First he gives the more common meaning; Secondly, what the Platonists took it to mean at no. 512. As to the first he does three things: First he shows what the word “void” means; Secondly, what should be added to that meaning at no. 510; Thirdly, he clears up a doubt, at no. 511.
lib. 4 l. 10 n. 4 Dicit ergo quod secundum opinionem hominum, videtur vacuum nihil aliud significare quam locum in quo nihil sit. Et huius causa est, quia proprie vacuum dicitur esse, in quo non est aliquod corpus: quia soli corpori convenit quod sit in loco; et vacuum nihil aliud potest significare quam locum absque locato. Sed quia homines opinantur quod omne ens sit corpus, sequitur secundum eorum opinionem quod ubi non est corpus, nihil sit. Et ulterius opinantur quod omne corpus sit tangibile, id est habens tangibiles qualitates. Et huiusmodi corpus est quod est grave vel leve: nondum enim erat notum quod corpus caeleste esset praeter naturam quatuor elementorum. Unde cum proprie de ratione vacui sit quod sit locus in quo non est aliquod corpus, sequitur quod vacuum sit in quo non est corpus grave vel leve: non quidem quod hoc sit de ratione vacui secundum primam impositionem nominis, sed secundum quandam syllogisticam deductionem ex communi opinione hominum, opinantium omne corpus esse grave vel leve: sicut etiam secundum opinionem communem hominum existimantium omne ens esse corpus, sequitur vacuum esse in quo nihil est. Sic igitur tribus modis potest accipi huius nominis significatio: una est propria, scilicet vacuum est locus in quo non est corpus: aliae duae secundum opinionem hominum; quarum una est communior, scilicet vacuum est locus in quo nihil est; alia vero est magis coarctata, scilicet vacuum est locus in quo non est corpus grave vel leve. 509. He says therefore that according to common opinion, the void seems to signify nothing more than a place In which there is nothing. The reason for this is because properly that is said to be a void in which there is not any body, and since only a body can be in place, void seems to mean nothing more than a place without any thing in it. But because people suppose that every being is a body, it follows that according to their opinion where there is not body, there is nothing. And further they believe that every body is tangible, i.e., that it has tactile qualities. And a body of this kind is heavy or light: for in their time it was not yet known that a heavenly body is different in nature from any of the four elements. Hence since it is the very nature of the void to be a place in which there is not a body, it follows that the void is that in which there is neither a light nor a heavy body. However, this is not to say that it belongs to the notion of the void according to the primary meaning of the word, but rather by reason of a certain syllogistic deduction that starts with the general opinion of people that every body is either heavy or light; just as the common opinion of people that every being is a body, leads to the conclusion that the void is that in which there is nothing. Consequently, the meaning of this word “void” is three-fold: one is proper, namely, that the void is that in which there is not any body; the others come from the general opinion of people: the first is more common, namely, that the void is a place in which nothing exists; the second is more restricted, namely, that the void is a place in which there is neither a heavy nor a light body.
lib. 4 l. 10 n. 5 Deinde cum dicit: sed inconveniens est etc., ostendit quid addendum sit ad hanc significationem. Dicit enim quod inconveniens est si dicatur quod punctum sit vacuum, cum tamen de puncto dici possit quod in puncto non sit corpus tangibile. Oportet ergo addere quod vacuum sit locus in quo non sit corpus tangibile, sed sit ibi spatium susceptivum corporis tangibilis: sicut caecum dicitur quod caret visu, natum autem habere. Et sic concludit quod uno modo dicitur vacuum, spatium quod non est plenum corpore sensibili secundum tactum, quod scilicet est grave vel leve. 510. Then [351 214 a4] he shows that must be added to this meaning. For he says that it is not correct to say that a point is a void, even though in a point there is no tangible body. So we must add that the void to a place in which there is not a tangible body, but which has in it space to receive a tangible body, just as a blind person is said to be one who lacks sight but to apt to have it. And so he concludes that in one way the void is called a space which is not full of a body that is sensible by touch, i.e., a body that is heavy or light.
lib. 4 l. 10 n. 6 Deinde cum dicit: unde et si dubitabit aliquis etc., removet quandam dubitationem, quae est: utrum si in aliquo spatio sit color vel sonus, dicendum sit vacuum vel non: et hoc propter definitionem primo datam, scilicet vacuum est in quo nihil est. Et solvit quod si spatium in quo est tantum sonus vel color, sit susceptivum corporis tangibilis, vacuum est: si vero non, non est vacuum. Et hoc ideo, quia haec non est propria definitio vacui, vacuum est in quo nihil est, nisi secundum opinionem credentium, ubi non est corpus nihil esse. 511. Then [352 214 a9] he clears up the following difficulty; If there is color or sound in a certain space, should it be called a void or not? This question arises because the definition first given says that the void is that in which there is nothing. And he answers by saying that if the space in which there is just sound or color has room for a tangible body, it is a void; if not, not. The reason is that the proper definition of the void is not “that in which there is nothing,” and such a definition is held only by people who believe that where no body is, nothing is.
lib. 4 l. 10 n. 7 Deinde cum dicit: alio autem modo etc., ponit aliam significationem vacui secundum usum Platonicorum. Et dicit quod alio modo dicitur esse vacuum: in quo non est hoc aliquid, neque aliqua substantia corporea. Fit autem hoc aliquid per formam. Unde aliqui dicunt materiam corporis, secundum quod est absque forma, esse vacuum: qui etiam materiam dicunt esse locum, ut supra dictum est. Sed non bene dicunt: quia materia non est separabilis a rebus quarum est materia; sed homines quaerunt locum et vacuum, tanquam aliquid separabile a corporibus locatis. 512. Then [353 214 a11] he gives the meaning of “void” as used by the Platonists. And he says that there is another meaning of the void: that in which there is no “this something” or any corporeal substance. Now a “this something” comes about on account of the form. Hence some claim that the matter of a body, insofar as it is apart from its form, is the void. These are the same who claim that matter is place, as was stated above (L.3). But this is poor judgment, for matter is not separable from the things of which it is the matter; whereas men inquire about place and the void as being separable from bodies in place.
lib. 4 l. 10 n. 8 Deinde cum dicit: quoniam autem de loco etc., ostendit quomodo aliqui ponebant vacuum esse. Et primo quid dicebant esse vacuum; secundo propter quid vacuum ponebant, ibi: et propter eadem acceptum et cetera. Dicit ergo primo, quod quia vacuum est locus privatus corpore, et determinatum est de loco quomodo sit et quomodo non sit (dictum est enim quod locus non est aliquod spatium, sed terminus continentis); manifestum est etiam quod neque vacuum est spatium separatum a corporibus, neque intrinsecum corporibus, sicut ponebat Democritus. Et hoc ideo, quia ponentes vacuum quocumque istorum modorum, volunt quod vacuum non sit corpus, sed spatium corporis. Ideo enim videbatur aliquid esse vacuum, quia locus aliquid est: et sicut locus videbatur esse spatium, ita et vacuum. Si ergo locus non est aliquod spatium praeter corpora, neque vacuum potest esse spatium praeter corpora. Et cum de ratione vacui sit quod sit spatium corporis praeter corpora, ut supra dictum est, sequitur quod vacuum non sit. 513. Then [354 214 a16] he tells how some posited existence of a void; First, what they said the void was; Secondly, why they posited it, at no. 514. He says therefore first that since the void is a place without a body in it, and since we have already decided how place exists and how it does not (for we have said that place is not a space but the boundary of a container), it is clear that the void is neither a space separated from bodies nor intrinsic to them as Democritus supposed. This is so because those who suppose that space exists in either of those two ways, intend the void to be not a body, but the space of a body. For they thought that the void was something because place was something, and just as place seems to be space, so also the void. But if place is not a space outside of bodies, neither can the void be a space outside of bodies. And since it is the very nature of the void to be a bodily space existing outside of bodies, as was said above, it follows that the void does not exist.
lib. 4 l. 10 n. 9 Deinde cum dicit: et propter eadem acceptum etc., ostendit quare posuerunt vacuum. Et dicit quod propter idem acceperunt vacuum esse, propter quod acceperunt locum esse, scilicet propter motum, ut supra dictum est: quia provenit ut salvetur motus secundum locum, tam secundum illos qui dicunt locum aliquid esse praeter corpora quae sunt in loco, quam secundum illos qui ponunt vacuum esse. Negantibus autem locum et vacuum, non provenit motum secundum locum esse. Et sic vacuum quodammodo opinantur causam esse motus eo modo quo et locum, ut in quo scilicet est motus. 514. Then [355 214 a21] he shows why they posited a void. And he says that they admitted the existence of the void for the same reason that they admitted place, namely, on account of motion, as we said above: for it comes about that local motion is saved, both for those who assert that place is something over and above the bodies which are in place and for those who claim that the void exists. But for those who deny place and the void, there cannot be local motion. Consequently, some believed that the void is a cause of motion in the way that place is, i.e., as that in which motion takes place.
lib. 4 l. 10 n. 10 Deinde cum dicit: neque una autem necessitas est etc., excludit rationes ponentium vacuum esse. Et non intendit hic rationes praemissas vera solutione solvere; sed instantiam dare ex qua ex ipso aspectu apparet, quod rationes non ex necessitate concludunt. Primo ergo excludit rationes ponentium vacuum separatum; secundo ponentium vacuum in corporibus, ibi: contingit autem densari et cetera. 515. Then [356 214 a26] he rejects the arguments of those who posit existence of the void. He does not, however, intend here to give a true solution to the aforesaid arguments, but to bring an objection which at a glance shows that their arguments do not conclude with necessity. First therefore he rejects the reasons given by those who posit a separated void; Secondly, the arguments of those who posit a void existing in bodies, at no. 517.
lib. 4 l. 10 n. 11 Primam autem rationem excludit dupliciter. Primo quidem, quia non est necessarium si motus sit quod vacuum sit. Et si loquamur universaliter de qualibet specie motus, manifeste apparet quod nequaquam est necessarium. Nihil enim prohibet id quod est plenum, alterari: solus enim motus localis excludi videtur si vacuum non ponatur. Et hoc latuit Melissum, dum credidit remoto vacuo omnem speciem motus auferri. Secundo excludit eandem rationem per hoc quod neque motus localis tollitur, si vacuum non sit. Dato enim quod nullum spatium separabile sit praeter corpora quae moventur, potest motus localis esse per hoc quod corpora subintrent se invicem per modum inspissationis, et sic aliquid in plenum movetur, et non in vacuum. Et hoc apparet manifeste in generationibus corporum continuorum, et praecipue in humidis, sicut videtur in aqua. Si enim proiiciatur lapis in aliquam magnam latitudinem aquae, manifeste apparet fieri quasdam circulationes circa locum percussionis, quousque pars aquae depulsae commoveat aliam et subintret ipsam: unde quia modica pars aquae subintrat per quandam diffusionem in maiorem aquam, circulationes praedictae a parvo in maius procedunt, quousque totaliter deficiant. 516. He rejects the first reason in two ways: First, because even though motion exists, it does not necessarily follow that the void exists. And if we speak generally of any species of motion, it is clear that the void is not necessary at all. For nothing prevents the full from being altered [i.e., having motion in quality], since only local motion seems to be excluded if the void is not posited. Yet Melissus did not see this, for he believed that if there were no void, no motion of any kind could exist. Secondly, he rejects the same reason on the ground that not even local motion is destroyed, if there is no void. For, assuming that there is no separable space over and above moving bodies, local motion can take place, if bodies make room for one another by contracting: thus they would be moving into the full rather than into the empty. This is evident in the generations of continuous bodies, especially in liquids, such as water. For if a stone is thrown into a large surface of water, circles appear around the place of entry as long as one part of the moving water agitates another part and enters it. Hence, because a small portion of water by a process of diffusion enters a larger section, the circles grow from small to large until they cease entirely.
lib. 4 l. 10 n. 12 Deinde cum dicit: contingit autem densari etc., excludit rationes ponentium vacuum in corporibus. Et primo rationem quae procedebat ex condensatione. Et dicit quod contingit corpora condensari, et partes corporis subintrare sibi invicem, non propter hoc quod pars subintrans vadat in locum vacuum; sed ideo quia erant aliqua foramina, plena aliquo corpore subtiliori, quod facta condensatione elabitur: sicut quando aqua colliditur et inspissatur, aer qui intus erat, excluditur. Et haec maxime apparent in spongia, et in huiusmodi corporibus porosis. Haec igitur solutio non ostendit causam condensationis, quam inferius ponit: sed ostendit quod etiam per hunc modum manifeste excludi potest necessitas vacui. 517. Then [357 214 a32] he rejects the reasons given by those who posit a void in bodies. And first of all the reason based an condensation. And he says that bodies happen to become condensed, and parts of a body mutually penetrate, not because the invading part is entering an empty place but because there were certain openings, full of a more subtle body which escapes under condensation, just when water is compressed and contracted, the air that was present is expelled. This takes place manifestly in a sponge and other like porous bodies. Therefore this solution does not give the reason for condensation (he will give this later [L.14]: but it does show that also in this way, the need of a void can be clearly eliminated.
lib. 4 l. 10 n. 13 Secundo ibi: et augmentari etc., excludit rationem quae procedit ex augmento. Et dicit quod augmentum contingit esse non solum per additionem alicuius corporis ingredientis in corpus augmentatum, ut sic necesse sit esse vacuum, sed etiam per alterationem: sicut cum ex aqua fit aer, maior fit quantitas aeris quam erat aquae. Et haec etiam non est vera solutio rationis inductae: sed solum instantia quaedam, ne sit necesse ponere vacuum. Vera autem solutio ponitur in libro de generatione, ubi ostenditur quod alimentum non sic transit in id quod augetur, quasi sit aliud corpus ab ipso; sed quia convertitur in substantiam eius, sicut ligna apposita igni, convertuntur in ignem. 518. Secondly [358 214 b1] he rejects the argument based on growth. And he says that growth occurs not only by the addition of some body invading the growing body so as to make the void necessary but also by alteration, as, when air comes to be from water, the quantity of air becomes greater than the quantity of water. This too is not the true solution of their argument but merely an objection showing that it is not necessary to posit a void. The true solution is given in the book “De Generatione, where it is shown that food does not pass into that which grows as to be a body distinct from it; rather it is converted into its substance, as wood added to fire is converted into fire.
lib. 4 l. 10 n. 14 Tertio ibi: omnino autem et quae est de augmento etc., excludit simul et rationem de augmento et rationem de aqua effusa in cinerem: et dicit quod utraque ratio impedit seipsam. Quod sic patet. Est enim circa augmentum haec dubitatio. Videtur enim vel quod non totum augeatur; vel quod augmentum non fiat per additionem corporis, sed per additionem alicuius incorporei; aut quod contingat duo corpora esse in eodem loco. Hanc igitur dubitationem, quae communiter videtur esse tam contra ponentes vacuum, quam contra non ponentes, volunt solvere. Sed tamen non demonstrant quod vacuum sit; vel oportet eos dicere, si augmentum sit propter vacuum, quod totum corpus sit vacuum, cum totum corpus augeatur. Et similiter dicendum est de cinere: quia si vas plenum cinere recipit tantum de aqua quantum vacuum, oportet dicere quod totum sit vacuum. Non est igitur hoc propter vacuitatem: sed propter commixtionem in aqua. Aqua enim commixta cineri condensatur, et aliqua pars eius exhalat; et iterum partes cineris magis inspissantur humefactione: cuius signum est, quod non potest extrahi tantum de aqua, quantum prius fuit. Ultimo autem concludit quod manifestum est, quod facile est solvere ea ex quibus demonstrant vacuum esse. 519. Thirdly [359 214 b3] he rejects together both the argument about increase [in growth] and that about water poured on ashes and says that each of these arguments blocks the other. This is evident as follows. For there is in respect to increase this difficulty: it seems either that the whole body is not being increased, or that increase does not come about by the addition of body but by the addition of something incorporeal, or that two bodies can be in the same place. Now it is this difficulty, which seems to be against both these who posit a void and against those who do not, that they wish to solve. But they do not show that the void exists, or, if increase is due to the void, then they would have to say that the whole body is a void, since the whole body is increased. Likewise, in regard to the ashes: for if a vessel full of ashes can take as much water as the empty vessel, then one has to say that the whole container must be a void. Therefore this is not due to empty space but to being mixed in with the water. For when water is mixed with ashes it condenses and part of it evaporates; moreover, parts of the ash are condensed on account of the moisture, and a sign of this is that not as much water can be recovered as was put in. Finally, he concludes that it is clearly easy to solve the arguments by which they prove the existence of a void.

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