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Found Sci (2013) 18:449–466 DOI 10.1007/s10699-011-9279-y Newtonian Emanation, Spinozism, Measurement and the Baconian Origins of the Laws of Nature Eric Schliesser Published online: 4 April 2012 © Springer Science+Business Media B.V. 2012 Abstract The first two sections of this paper investigate what Newton could have meant in a now famous passage from “De Graviatione” (hereafter “DeGrav”) that “space is as it were an emanative effect of God.” First it offers a careful examination of the four key passages within DeGrav that bear on this. The paper shows that the internal logic of Newton’s argument permits several interpretations. In doing so, the paper calls attention to a Spinozistic strain in Newton’s thought. Second it sketches four interpretive options: (i) one approach is generic neo-Platonic; (ii) another approach is associated with the Cambridge Platonist, Henry More; a variant on this (ii*) emphasizes that Newton mixes Platonist and Epicurean themes; (iii) a necessitarian approach; (iv) an approach connected with Bacon’s efforts to reformulate a useful notion of form and laws of nature. Hitherto only the second and third options have received scholarly attention in scholarship on DeGrav. The paper offers new arguments to treat Newtonian emanation as a species of Baconian formal causation as articulated, espe- cially, in the first few aphorisms of part two of Bacon’s New Organon. If we treat Newtonian emanation as a species of formal causation then the necessitarian reading can be combined with most of the Platonist elements that others have discerned in DeGrav, especially New- ton’s commitment to doctrines of different degrees of reality as well as the manner in which the first existing being ‘transfers’ its qualities to space (as a kind of causa-sui). This can clarify the conceptual relationship between space and its formal cause in Newton as well as Newton’s commitment to the spatial extended-ness of all existing beings. While the first two sections of this paper engage with existing scholarly controversies, in the final section the paper argues that the recent focus on emanation has obscured the importance of Newton’s very interesting claims about existence and measurement in “DeGrav”. The paper argues that according to Newton God and other entities have the same kind of quantities of existence; Newton is concerned with how measurement clarifies the way of being of entities. Newton is not claiming that measurement reveals all aspects of an entity. But if we measure something then it exists as a magnitude in space and as a magnitude in time. This is why in DeGrav Newton’s conception of existence really helps to “lay truer foundations of the mechanical sciences.” E. Schliesser (B ) Philosophy and Moral Sciences, Ghent University, Blandijnberg 2, 9000 Ghent, Belgium e-mail: [email protected] 123

Newtonian Emanation, Spinozism, Measurement and the Baconia Origin of the Laws of Nature

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Found Sci (2013) 18:449466DOI 10.1007/s10699-011-9279-yNewtonian Emanation, Spinozism, Measurementand the Baconian Origins of the Laws of NatureEric SchliesserPublished online: 4 April 2012 Springer Science+Business Media B.V. 2012Abstract The rst two sections of this paper investigate what Newton could have meant ina now famous passage from De Graviatione (hereafter DeGrav) that space is as it werean emanative effect of God. First it offers a careful examination of the four key passageswithin DeGrav that bear on this. The paper shows that the internal logic of Newtons argumentpermits several interpretations. In doing so, the paper calls attention to a Spinozistic strain inNewtons thought. Second it sketches four interpretive options: (i) one approach is genericneo-Platonic; (ii) another approach is associated with the Cambridge Platonist, Henry More;a variant on this (ii*) emphasizes that Newton mixes Platonist and Epicurean themes; (iii)a necessitarian approach; (iv) an approach connected with Bacons efforts to reformulate auseful notion of form and laws of nature. Hitherto only the second and third options havereceived scholarly attention in scholarship on DeGrav. The paper offers new arguments totreat Newtonian emanation as a species of Baconian formal causation as articulated, espe-cially, in the rst few aphorisms of part two of Bacons New Organon. If we treat Newtonianemanation as a species of formal causation then the necessitarian reading can be combinedwith most of the Platonist elements that others have discerned in DeGrav, especially New-tons commitment to doctrines of different degrees of reality as well as the manner in whichthe rst existing being transfers its qualities to space (as a kind of causa-sui). This canclarify the conceptual relationship between space and its formal cause in Newton as well asNewtons commitment to the spatial extended-ness of all existing beings. While the rst twosections of this paper engage with existing scholarly controversies, in the nal section thepaper argues that the recent focus on emanation has obscured the importance of Newtonsvery interesting claims about existence and measurement in DeGrav. The paper argues thataccording to Newton God and other entities have the same kind of quantities of existence;Newton is concerned with how measurement claries the way of being of entities. Newton isnot claiming that measurement reveals all aspects of an entity. But if we measure somethingthen it exists as a magnitude in space and as a magnitude in time. This is why in DeGravNewtons conception of existence really helps to lay truer foundations of the mechanicalsciences.E. Schliesser (B)Philosophy and Moral Sciences, Ghent University, Blandijnberg 2, 9000 Ghent, Belgiume-mail: [email protected] 3450 E. SchliesserKeywords Newton Emanation Measurement Existence Bacon Spinozism1 IntroductionThemainaimofthispaperistogetclearontherelationshipsamong,God,space,exis-tence and the science of motion in Newtons famous manuscript De Gravitatione (hereafterDeGrav). In the rst two sections, I re-cast the ongoing scholarly debate over the statusof Newtons emanation doctrine in DeGrav. In the third section I focus on Newtons claimsabout existence.A major theme of this paper is that DeGrav offers us two ways of thinking about Godsrelationshiptonature. FollowingWhitehead(1933)andOackley(1961), Icall theseanimmanent and an imposed conception.1The rst, immanent, conception is the God ofthe philosophers, while, the second, more anthropomorphic and Voluntarist God is familiarfrom the Judeo-Christian tradition. I argue below that the composition of DeGrav largelysegregates these two conceptions, but that the immanent one accounts for more of the meta-physically significant features of Newtons account. I argue that the immanent conceptionbrings Newton rather close to Spinozismin DeGrav.2In Newtons published works the Volun-tarist strain is more prominent,3but the immanent strain in Newtons thought was perceivedby Leibniz who (while unfamiliar with DeGrav, of course) raised the specter of Spinozismin his second letter to Clarke, paragraph 7.4Before I summarize my paper, I offer three caveats, two of which regard my stance towardDeGrav and one on methodology. First, the DeGrav manuscript was (a) probably put togetherfrom earlier reections in order (b) to start a large, ambitious work. The case for b is fairlystraightforward. The Halls report that the notebook that contains it was left blank after theabrupt ending of DeGrav (Newton 2004, p. 89). This suggests that Newton intended to addmore to it. Below I call attention to other various ways in which Newtons plans for the workbetray considerable ambition. The case for a is more speculative, but there are two furtherarguments on its behalf: (i) unlike many other manuscripts in Newtons hand DeGrav doesnot contain numerous (obsessive) false starts and new beginnings. This suggests, as GeorgeSmith pointed out to me, that Newton was copying frompre-selected pieces.5The correctionsin the manuscript of DeGrav are all corrections to an already fairly polished draft. (ii) if bis true then it would help explain the difculty in dating the manuscript that has bedevileddiscussion of it. The piece reects Newtons thought at different stages of his intellectualdevelopment. (Onecanbecommittedtothiswithout thinkingNewtonsdevelopment isalways linear.) I assume that DeGrav was brought together in the rst half the 1680s whenNewton decided to write an ambitious anti-Cartesian tract in the science of motion.6For my argument the dating is irrelevant. But second, I resist a close identication betweenDeGrav and Principia, especially the scholium on space and time and the General Scholium.In recent years, there has been a tendency in Newton scholarship to resolve interpretive dif-1Oackleyisself-consciouslydevelopingWhitehead(1933). BotharewritingbeforethepublicationofDeGrav in the twentieth century. I thank Zvi Biener for calling my attention to these.2This is not to claim identity between the two. On my reading of Spinoza, he is uninterested in, even hostileto, developing a conceptual framework for the mechanical sciences. See Schliesser (Forthcoming, a).3Cf. Harrison (2004) with Henry (2009).4Leibniz and Clarke (2000, p. 9).5Feingold (2004, pp. 2526). But see Henry (2011) for a reafrmation of an early dating.6Karin Verelst has been an advocate for this view.1 3Newtonian Emanation, Spinozism, Measurement 451culties in one of these texts in light of each other (this is as true of Stein 2002, as it is ofMcGuire 1978). But this does no justice to the fact that the metaphysical commitments of thePrincipia changed signicantly with the second edition. It also tends to ignore the evidencewe have ofthe original draft of Newtons system of the world (dating from the mid 1680s andpresumably composed after DeGrav was put aside) and posthumously published Treatise ofthe System of the World.7My third caveat is methodological. Below I draw on writings of Bacon to illuminate someof Newtons concepts. My contribution should not be understood in terms of the history ofideas; I am using Bacon to offer an alternative interpretation of the meaning of emanation.I am not claiming that Bacons writings inuenced Newton (although the claim would notbe far-fetched). In general, my argument resists the temptation to assimilate Newton withany particular school of thoughtI view him as an eclectic, conceptual alchemist, who isconstantly trying out subtle (and sometimes dramatic) innovations on a wide-range of viewsavailable to him.The rst two sections of this paper investigate what Newton could have meant in a nowfamous passage from DeGrav that space is as it were an emanative effect of God (21).8First I offer a careful examination of the four key passages within DeGrav that bear on this.In my rst section I argue that the internal logic of Newtons argument permits several inter-pretations. I call attention to what I call a Spinozistic strain in Newtons thought. Second Isketch four options: (i) one approach is also neo-Platonic, and builds on work by ChristiaMercer on Leibnizs views of emanation; (ii) an approach associated with the CambridgePlatonist, Henry More, which was recently investigated by Ed Slowik; a variant on this (ii*)articulated by McGuire and more recently by Dana Jalobeanu emphasizes that Newton mixesPlatonist and Epicurean themes; (iii) a necessitarian approach associated with Howard Steinsinuential interpretation, recently reafrmed by Andrew Janiak; (iv) an approach connectedwith Bacons efforts to reformulate a useful notion of form and laws of nature.Hitherto only the second and third options have received scholarly attention in scholarshipon DeGrav. I offer new arguments to treat Newtonian emanation as a species of Baconianformalcausationasarticulated,especially,intherstfewaphorismsofparttwoofNewOrganon. If we treat Newtonian emanation as a species of formal causation then we canreconcile Steins necessitarian reading with most of the Platonist elements that others havediscerned in DeGrav, especially Newtons commitment to doctrines of different degrees ofreality as well as the manner in which the rst existing being transfers its qualities to space(as a kind of causa-sui). This can clarify the conceptual relationship between space and itsformal cause in Newton as well as Newtons commitment to the spatial extended-ness of allexisting beings.My interest is not exclusively driven by exegetical concerns. In particular, we can appre-ciate that one of Newtons most important decisions in recasting the material for Principiawas to drop the language of formal causation that was still present in DeGrav and replaceit withthelanguageoflawironically, thiswasaconcessiontoCartesianterminology.I argue that in DeGrav (and also the queries of the Opticks) there is, thus, overlooked evi-dence for Thomas Kuhns old speculative claim that formal causes are replaced by laws ofnature during the scientic revolution.While the rst two sections of this paper engage with existing scholarly controversies, inthe nal section I suggest that the recent focus on emanation has obscured the importance of7I explore some of these differences in Schliesser (2010a,b, Forthcoming, b).8All quotations and translation of Isaac Newton are, unless otherwise noted, cited from Newton 2004 bypage-number.1 3452 E. SchliesserNewtons very interesting claims about existence and measurement in the same passage(s).Newton writes:space is an emanative effect of the rst existing being, for if any being whatsoever isposited, space is posited. And the same may be asserted of duration: for certainly bothare affections or attributes of a being according to which the quantity of any thingsexistence is individuated to the degree that the size of its presence and persistence isspecied. So that the quantity of the existence of God is eternal in relation to duration,andinniteinrelationtothespaceinwhichheispresent;andthequantityoftheexistence of a created thing is as great in relation to duration as the duration since thebeginning of its existence, and in relation to the size of its presence, it is as great as thespace in which it is present (2526).Ted McGuire and Ed Slowik are the only commentators that I am familiar with to haveremarked on Newtons focus on the quantity of existence. Recently, Slowik writes it isa fairly mysterious and undened notion in the De Gravitatione, so it is difcult to draw aspecic conclusion based on this use of terminology.9McGuire (1978), by contrast, makessense of it in light of Newtons Epicurean turn of the 1690s. I am greatly indebted to McGu-ires brilliant study, but in the nal section of this paper I deviate from his reading and arguethat in DeGrav God and other entities have the same kind of quantities of existence.My overarching argument is that in DeGrav Newton is concerned with how measurementclaries the way of being of entities. Newton is not claiming that measurement reveals allaspects of an entity. But if we measure something then it exists as a magnitude in space and asa magnitude in time. This is why in DeGrav Newtons conception of existence really helps tolay truer foundations of the mechanical sciences (21), which is one of Newtons ambitionsfor DeGrav that I wish to recover here.2 Four passages from DeGrav on emanation and Causa SuiIn this section, I introduce and analyze four passages from DeGrav.The rst passage, [A], reads:[N]ow it may be expected that I should dene extension [spaceES] as substance,accident, or else nothing at all. But by no means, for it has its own manner of existingwhich is proper to it and ts neither substances nor accidents. It is not substance: onthe one hand, because it is not absolute in itself, but it is as it were an emanative effectof God and an affection of every kind of being; on the other hand, because it is notamong the proper affections that denote substance, namely actions, such as thoughtsin the mind and motions in body (21; emphasis added).The second, [B], reads: space is eternal in duration and immutable in nature because itis emanative effect of an eternal and immutable being (26).In these two passages Newton claims that space is eternal in duration and immutable. Thismuch appears clear, although my use of is might not do full justice to the claimthat it has itsown manner of existence. (I return to this below.) Space is an emanative effect of an eternaland immutable being. It is tempting to identify the eternal and immutable being with God,9Slowik (2009) originally appeared as Slowik (2008); if I mention page-numbers it will be to Slowik (2009).See also Slowik (2012).1 3Newtonian Emanation, Spinozism, Measurement 453but Newtons use of as it were in passage A should give us pause.10What is the eternaland immutable emanative cause of space? In this section I offer some preliminary answers.We shall also come to understand what it might mean to say that space is an affection ofeverything.The plot thickens when we consider two further passages.The third passage, [C], reads: Space is an affection of a being just as a being. No beingexists or can exist which is not related to space in some way. God is everywhere, createdmindsaresomewhere,andbodyisinthespacethatitoccupies;andwhateverisneithereverywhere nor anywhere does not exist. And hence it follows that space is an emanativeeffect of the rst existing being, for if any being whatsoever is posited, space is posited (25).Thefourthpassage, [D], reads:[l]estanyoneshouldimagineGodtobelikebody,extended and made of divisible parts, it should be known that spaces themselves are not actu-ally divisible and furthermore, that any being has a manner proper to itself of being presentin spaces (26).That space is an affection of everything is claried by these two passages: it means that allexisting entities are located in some spatial structure (Stein 2002). A more Kantian way ofsaying this is that space is (part of) the condition of possibility for any entity. (Or one mightsay that: spatiality is a quality that belongs to everything.)11Moreover, because of passage [C] we can specify something more explicit about the eter-nal emanative cause of space; it is the rst existing being. Most readers would be inclinedto call the rst existing, eternal, and immutable being, God. But this is too easy because itleaves unexplained Newtons use of as it were. Of course, we are also still left clarifyingwhat it means that space is an emanative effect of the rst existing eternal and immutablebeing.One way to approach Newtons use of as it were is to interpret it as his attempt to indicatethat he is discussing a philosophical God, one that has no anthropomorphic qualities. For,emanation as a form of divine causation is traditionally distinguished from conceptions thatrefer to Gods will.12Newton is clearly signaling that his God does not stand outside nature;even God exists spatially. In DeGrav, Newton plainly rejects a soul of the world with Godstanding outside nature (30; Slowik 2009, 443; see also Newton 2004, 124125). This tsnicely with what he wrote later in life in his Account of the Commercium Epistolicum, inwhich he rejects Leibnizs view of God as an intelligence above the bounds of the world;whence it seems to follow that he cannot do anything within the bounds of the world, unlessby an incredible miracle (Newton 2004, 125). In context Newton has just afrmed that, whileGod is not the soul of the world, he is omnipresent, so this accords with the viewexpressed inDeGrav (recall: no being exists or can exist which is not related to space in some way [25]).If Leibnizs God is above the bounds of the world, this means he is outside of space and timealtogether. God would literally be acting from nowhere, that is, an incredible miracle. Thus,in his response to Leibniz, Newton is echoing the infamous doctrine of the sixth chapter ofSpinozas Theological Political Treatise; in a discussion of miracles, Spinoza rejects the veryintelligibility of placing God above the bounds of the world.Nevertheless, before we start exploring how Newtons contemporaries use emanation(Sect. 3), we have not exhausted all the reasonable options in trying to establish the identity10In correspondence, Ed Slowik suggested, I think you place much too importance on the as it werepassage in the DeGravits difcult to infer much from this throw-away quip, as it were... (12/5/2008); Cf.McGuire (1978, p. 481).11For more elaborate treatment that locates this reading in intellectual context, see McGuire (1978, p. 465ff).12See Internet Encyclopedia of Philosophy; http://www.iep.utm.edu/e/emanatio.htm, accessed on October24, 2008.1 3454 E. Schliesserof the emanative cause of space based on Newtons text alone. It is probably safe to assumethat for Newton ordinary material entities and (maybe less likely) ordinary minds (which,however, are more noble than bodies, see DeGrav, 20; Slowik 2009, 438 n. 10) are noteternal and immutable, and can, thus, be ruled out as the rst existing beings.But despite the recent philosophic interest in DeGrav, it has not yet been noted that New-tons wording in these four passages is compatible with the position that space is the rstexisting being. The emanative cause of space could be space itself! Or to be more preciseGodandspacewouldberelatedbywayofself-causation.13Newtonsspacewouldthenbe a Godlike causa sui. This is not as crazy as it sounds: Newton is certain that space iseternal, immutable, immobile, indivisible, and innite (viz. space is extended innitely inalldirections23);itistheconditionofpossibilityofallbeings.So,giventheseclaimswhy not call space a philosophic conception of God? This could then explain Newtons asit were, especially if we see the phrase as modifying emanation (and not God). The rela-tionship between the rst eternal (etc) cause and its eternal (etc) effects (space, time, etc)is then emanative-like, and that would be a way to capture causa sui. Newtonian space andNewtonian time are then, in a certain sense (and more precisely), attribute-like aspects of aself-causing God.14Before one rejects this, shall we say, Spinozistic reading out of hand, one should recog-nize that Newton seems aware of this option when he writes, I see what Descartes feared,namely if he should consider space innite, it would perhaps become God (25; see alsothetreatmentofDescartesandtheatheistsat3132).15Incontext,NewtonisdiscussingDescartes Principles, but we know from his early notebooks that he was also familiar withthe Meditations. In fact, Newton interpreted the ontological argument of the fth meditationin terms of self-causation: A Necessary being is ye cause of it selfe or its existence afterye same manner yt a mountaine is ye cause of a valley(wch [sic] is not from power orexcellency, but ye peculiarity of theire natures.16So, even if Spinoza was never on Newtonsmind in such passages, Cartesian ideas on causa sui were available to Newton.17It might appear unlikely that in DeGrav, Newton would endorse this reading, because heinsists that it is repugnant to reason that God created his own ubiquity (26). One might betempted to claim that this rules out any causa sui.18Unfortunately, this conclusion cannot be13These funny sounding phrases are meant to echo Descartes responses to Caterus and Arnauld. For excellentdiscussion, see Lee Jr (2006).14In order to avoid confusion, with most recent commentators I recognize that DeGrav drops the traditionalsubstance-property/attribute structure (see, especially, McGuire (1978, p. 474); even without access to DeGravthe point was discerned by Cassirer (1951, pp. 6164); Cassirers argument relies on the reception of Newtonby Dutch Newtonians.) For Newton entities can exist without inhering in a substance. However, I have arguedelsewhere that Newton probably was a substance monist, with God being the only entity with full substantialreality. See Schliesser (2011). Gorham (2011) wishes to argue against the recent consensus in order to explainthat space is a principle, generic attribute of God; Gorham draws on a rich Cartesian framework to argue this.Without claiming to have done justice to all of Gorhams subtle position I claim to have captured the sameinsight by stressing that the emanative relationship between God space is a form of causa sui (somethingGorham also notes) but that Newton can say so without accepting the traditional substance-attribute structurein DeGrav.15Concern over Descartes irt with atheism seems to have been something of a trope; it also shows up inMacLaurin (1748, p. 77).16Quaestiones, folio 83r, quoted in McGuire (1978, p. 485).17Henry More published his Confutatio of Spinoza in 1678. So Spinoza was being discussed in Newtonscircles.18Newtons striking appeal to reason here offers independent evidence for my claim that we are here dealingwith the God of the philosophers. It also should also make us cautious about reading Newtons later strictempiricism back into DeGrav.1 3Newtonian Emanation, Spinozism, Measurement 455established because emanation is a doctrine that avoids creation in time. And as others havenoted, there is no trace that Newton is using emanation to indicate activity.19All we can sayis that is that the rst emanative cause and its effect are both eternal, and this is compatiblewith causa sui.20(See also my discussion of emanation below.)In the next section, I advance the debate by canvassing four usages of emanation thatwere available in the seventeenth century. My argument will proceed independently frommyremarks about self-causation in DeGrav. But they can be fruitfully presupposed when I treatmore fully of Newtons immanent or philosophic conception of God below.3 Four kinds of emanationThere can be no doubt that in DeGrav according to Newton space is something like an emana-tive effect of something (eternal, immutable, etc). I am familiar with four possible meaningsof the word emanation in the seventeenth century. Let me survey these and comment onthe plausibility that Newton might have had any one of them in mind.First, there is what I call a traditional neo-Platonic version of emanation, which relates apure or perfect cause with an impure or imperfect imitation of it. The perfect cause emanatesa property to the imperfect effect so that the effect participates in or has an inferior versionof the property or accident.21Something like this concept is clearly presupposed in passage[B]. For in it immutability and eternality are transferred from the cause to the effect. This ischaracteristic of neo-Platonic emanation. It is a bit unfortunate that Newton does not explainthe causal transference of immobility, indivisibility, and innitude from God to space in asimilar matter. Newtons silence frustrates our search. If Newton had fully intended this useof emanation it is a bit surprising that in passage [D] he does not mention God as the sourceof spaces immobility, indivisibility, and innitude; this would have been a natural place forhim to do so in clarifying the relationship between the emanative cause and effect.Nevertheless, we should not entirely forego this option because it ts with another aspectof Newtons view: while space is uncreated (33), it is somehow not quite absolute (recallpassage A). In fact, Newton is committed to things having different degrees of reality (seealso Spinozas Ethics 1p11; because of the shared commitment to different degrees of reality,this is one further reason why I connect Newtonian emanation with Spinozistic causa suispace/extension is dependent on God, while being, in some sense, self-same with it).22Thisis partly indicated by Newtons claim that things have their own manner of existing whichis proper to them (21). Later in the piece Newton also claims: whatever has more reality inone space than in another space belongs to body rather to space (27). Perhaps, only Godhasfull(absolute)realityandspacehaslessofit;asNewtonwrites,spacehassomesubstantial reality (33), but not complete reality. This is a doctrine familiar from Descartes,who employs an emanative cast in the third Meditation; different degrees of reality arecrucial in the fourth and fth Meditations (Grene 1999, 102).19See Stein (2002) and Gorham (2011).20Gorham (2011) has argued for what he calls an assimiliationist interpretation in which space is an attributeof God in Newton. Gorhamsharply distinguishes Newton fromSpinoza, because according to GorhamNewtonhas a Voluntarist conception of God. As I argue more fully below in DeGrav Newtons Voluntarism is veryattenuated.21For an informative account, see Mercer (2001, pp. 189190).22I thank Maarten Van Dyck and Ted McGuire for discusson, although I fear my discussion does not satisfyeither.1 3456 E. SchliesserSecond, there is the definition of emanation by the Cambridge Platonist, Henry More,who was well known to Newton. Even by contemporaries Newton was taken to be followingMore in various ways. For example, in his Account of the Commercium Epistolicum, New-ton notes that the editors of Acta Eruditorum point to Mores potential inuence on Newton(Newton2004, 124125).ForMore,anemanativecauseisanimmediatecausewhichisco-present with its effect. As More writes, a Cause as merely by being, no other activityor causality interposed, produces an Effect (quoted in Jalobeanu 2007).23No doubt someof Newtons comments point to this definition. Indeed this notion of causation must havebeen very inuential, because as late as the 1730s it is still Humes target in his eight ruleofreasoning(withoutmentionofMore):anobject,whichexistsforanytimeinitsfullperfection without any effect, is not the sole cause of that effect, but requires to be assistedby some other principle, which may forward its inuences and operation. For as like effectsnecessarily follow from like causes, and in a contiguous time and place, their separation fora moment shews, that these causes are not complete ones (Hume 1739, 1.3.15.10).24Nevertheless, while there are ways in which Newtons approach harmonizes with Cam-bridge Platonism (see Slowik 2009, 2012; cf. Stein 2002, 269), Mores particular definitionofemanationisuninformativeasanaidtounderstandingthedetailsofNewtonsclaims(in passages [A] through [D], above). It is at best consistent with these passages, but evenSlowiks splendid papers do not help account for all the rich details in them. Ted McGuireand Dana Jalobeanu, in particular, have argued that these passages mix Platonist imagerywith Epicurean themes that Newton would have derived from Charleton.25Their approachin which Newton is an eclectic in its original sense (i.e., choosing what is best) has much torecommend to it.26It is, thus, a bit surprising that so much scholarly attention is focused onmining the More-Newton connection.27A third conception, diametrically opposed to Platonizing readings, has been defended byHoward Stein. No one has done more to rehabilitate the reputation of Newtons analysis ofspace among the community of space-time theorists and historians of philosophy than Stein.28Part of his argument turns on a revisionary analysis of emanation in Newton (Stein 2002). Byrelying on passages [A] and [C], in particular, and on linguistic contextual evidence drawnfrom the OED, Stein argues against a non-causal reading of emanation. Instead Stein readsNewton as employing emanation in the sense of a necessary consequence (2002, p. 269).Now, above I have relied on aspects of Steins argument. Moreover, elsewhere, I have agreedwith Steins focus on the empirical basis of Newtons doctrines, including those pertaining toGod, and Steins emphasis on Newtons probabilism, even fallibilism; Stein clinches his casethat Newtons doctrines do not crucially rely on Newtons theology. Steins arguments haverecently been afrmed by AndrewJaniak (ms) in a careful study of passages [A] through [D].23Slowik(2009)quotestherelevantpassagefromMoresTheImmortalityoftheSoulasfollows:anEmanative Effect is coexistent with the very Substance of that which is said to be the Cause thereof , andexplains that this Cause is the adequate and immediate Cause, and that the Effect exists so long as thatSubstance does exist (438).24For more on Humes Rules of Reasoning and their relationships to Newton, see Sect. 4.5 in Schliesser(2008).25McGuire (1978), 471ff. and Jalobeanu (2007).26Moreover, it also ts with some Epicurean themes that are very prominent in the rst edition of the Principia(Schliesser Forthcoming, b).27But see also Slowik (2012) for an attempt to integrate the Morean inuence with strands coming fromGassendi and Charleton.28Starting with the classic Stein (1967).1 3Newtonian Emanation, Spinozism, Measurement 457Nevertheless, Stein and Janiak are silent on some crucial details of these passages. In par-ticular, they seem to miss the fact that passage [B] purports to explain how qualities of spaceare caused by the emanative cause (see also Slowik 2009, pp. 445446). We could put theargument against Stein as follows: he ignores the fact that even if we posit any being, we neednot posit space as eternal in duration and immutable in nature. So, Steins argument seemsto attribute to Newton conceptual question-begging. To be clear: Newton does offer a separateargument fromour ability to imagine a rotating triangle to the conclusion that space is innite(23). So, it does seem that if we posit any (geometric) object we (can) posit innite space.29But I cannot see how Steins resolutely anti-causal approach can account for these crucialdetails in passage [B]. This is not to say that Steins focus on emanation as necessary conse-quence is entirely misguided. In section I, I agreed with his claim that Newton is committedto the view that all beings presuppose space as a condition of possibility. It is Steins focuson the logical structure of Newtons position that exhibits this fact most clearly. Thus, weshould not ignore the possibility that emanative causation may in many respects be moreakin to a conceptually necessary consequence than efcient causation, but this cannot be thewhole story. We can illustrate and make more precise what I mean if we focus on an unlikelysource: Bacon.Fourth, Bacon has been hitherto ignored as a possible source in this discussion. There wasa time, fromthe middle of the eighteenth century onward, and especially since the writings ofThomas Reid, that Bacon and Newton were viewed as the twin sources advocating a sharedand proper method of philosophizing (a viewespecially popular among early nineteenth cen-tury thinkers like Whewell and Mill). Particularly highlighted were Bacons and Newtonsempiricism in the service of the discovery of the true causes of nature, especially if accom-panied with an experimentum crucis. In recent years commentators have been more eagerto differentiate between Bacons natural history and Newtons mathematical-experimentalapproaches (Feingold 2001). While I endorse the recent trend, we should not be blind toBacons signicance. Bacon sometimes uses emanation in what we may label an inno-cent sense, as when he writes that the rays of light emanate from the sun (New Organon,2.XII).30But at other times emanation has a more technical meaning in Bacon. Considerthe following two paragraphs:On a given body, to generate and superinduce a new nature or new natures is the workandaimofhumanpower. Ofagivennaturetodiscovertheform, ortruespecicdifference, ornature-engenderingnature, orsourceofemanation(forthesearetheterms which come nearest to a description of the thing), is the work and aim of humanknowledge. Subordinate to these primary works are two others that are secondary andof inferior mark: to the former, the transformation of concrete bodies, so far as thisis possible; to the latter, the discovery, in every case of generation and motion, of thelatent process carried on from the manifest efcient and the manifest material to theform which is engendered; and in like manner the discovery of the latent congurationof bodies at rest and not in motion.In what an ill condition human knowledge is at the present time is apparent even fromthe commonly received maxims. It is a correct position that true knowledge is knowl-edgebycauses.Andcausesagainarenotimproperlydistributedintofourkinds:the material, the formal, the efcient, and the nal. But of these the nal cause rather29This is not to deny that the point of the example is to give us a handle for grasping [spaces] actual, notpotential, innity (McGuire, Private Communication, May 16, 2011).30I quote Bacons New Organon by book and aphorism number.1 3458 E. Schliessercorrupts than advances the sciences, except such as have to do with human action. Thediscovery of the formal is despaired of. The efcient and the material (as they are inves-tigated and received, that is, as remote causes, without reference to the latent processleading to the form) are but slight and supercial, and contribute little, if anything, totrue and active science. Nor have I forgotten that in a former passage I noted and cor-rected as an error of the human mind the opinion that forms give existence. For thoughin nature nothing really exists besides individual bodies, performing pure individualacts according to a xed law, yet in philosophy this very law, and the investigation,discovery, and explanation of it, is the foundation as well of knowledge as of operation.And it is this law with its clauses that I mean when I speak of forms, a name whichI the rather adopt because it has grown into use and become familiar (New Organon,2.III; emphasis in original).Bacon is no Scholastic, as can be clearly seen by his claims that (a) nal cause rathercorrupts than advances the sciences, except such as have to do with human action, and (b)that forms give existence is an error. Yet Bacon embraces the three other Aristoteliancauses(material,formal,andefcient)asentirelyappropriatetohisproposedscienceofnature. In particular, here I want to focus on Bacons willingness to embrace a reformulatedversion of formal causation; he writes that the aim of human knowledge is to discoverthe nature-engendering nature of bodies in order to create new natures. Bacons formsare materialistic. In labeling his causes in this fashion, Bacon is even willing to risk con-fusion with the Scholastics. To be clear: a Baconian formal cause has nothing to do withhylomorphism.31Now, two aspects are relevant for my treatment of DeGrav. First Bacon glosses a nature-engendering nature as a source of emanation. Second the cause or source of emanation isassociated with the form. As I understand Bacon here, he is relying on the traditional mean-ings of words in the rst paragraph, and then begins to offer innovative uses in the second. Ifthis is so, then those commentators that have tried to treat emanative causation as a species ofefcient causation (see for discussion Slowik 2009, 437438, 2012) are mistaken. We neednot saddle the Platonizing reading with this mistake; one may question the modern identi-cation of, for example, Mores claim about God as the adequate and immediate Cause ofspace with an efcient cause. Why not treat More as explicating a formal cause?I can allow that Bacon is innovating linguistically in both paragraphs; here the main pointis that we have evidence for a subtly different reading of Newton. While I do not claim thatBacon is the source of Newtons doctrines about space, it is worth noting that for Bacon,too, space is innite (2.XXVI). Moreover, according to Bacon forms [] are (in the eyeof reason at least, and in their essential law) eternal and immutable (2.IX). So, if Newtonsrst existing being were in Bacons sense the formal cause of space it would have to beeternal and immutable. Thus, Newtons rst existing being could t the characteristics of aBaconian form as a source of emanation.Now, while Bacon is clearly an admirer of Galileos discoveries and willing to speculateabout interplanetary travel on the basis of them (2.XXIX), his views on space and motionare too undeveloped for them to count as a source of the details of Newtonian doctrine onspace. Here, I insist only that Bacon offers helpful clues for understanding Newtons use ofemanation.The crucial point is that we should consider treating Newtons emanative causation alongthe lines of nature-engendering nature, that is, as a species of formal causation in Bacons31See Mancosu (1999) for discussion of non-hylomorphic formal causation in mathematics.1 3Newtonian Emanation, Spinozism, Measurement 459sense.32Interestingly, in DeGrav formal causation shows up twice explicitly: rst that prod-uct of the divine will is the form or formal reason of the body denoting every dimension ofspace in which the body is to be produced (29); second we should distinguish between theformal reason of bodies and the act of the divine will (31; for the sake of argument, allowthat for Newton a reason is a cause). Now the context is Newtons thought experimentabout how God could have created bodies. So, despite the fact that it appears that the thrustof Newtons treatment of body is to emphasize a Voluntarist conception of God, who couldhave created bodies differently (see also the late query 31 in Opticks), Newton is warninghisreadersnottoconfuseGodswillfortheformalreasonofbodies.Thatistosay,thenature-engendering nature of bodies is not Gods will, but (presumably) the essential (wewould say, intrinsic) qualities of body, e.g, (i) mobility; (ii) impenetrability, which Newtonarticulates in terms of law-like behavior in collision; and (iii) that they can excite variousperceptions of the senses and the imagination in created minds, and conversely be moved bythem (DeGrav, 2829). This list helps us appreciate that Newtons formal reason(s) shouldnot be conated with an efcient cause. It is regularly underestimated that even in the mostVoluntarist part of DeGrav, much of the metaphysical work is being done by a more immanentconception.One might object that given that Newton did not shy away from the language of formalcausation/reason, why would he not use that language in describing the relationship betweenthe rst existing (eternal, immutable, etc) thing and space? The response to this is straight-forward: if Newton is following Bacons usage then emanation picks out a particular speciesof formal causation.33What else can be said in favor of this option? First, if we treat the emanative cause asa species of formal causation then we can make sense of Steins qualms about treating itas a species of efcient causation; we can capture Steins insight that there is a necessaryinference between the rst existing being and the qualities of space. That is to say, it is notmerely that space is a necessary consequence of any entity, but various particular qualities(immutability, eternal duration, and perhaps also innitude and indivisibility) of space arealso necessary in this way. One might capture this with the claim these are essential or intrin-sic qualities of space for Newton. Spaces would not be space without them. Second, we canaccommodate the evidence in favor of the neo-Platonizing reading of passages [A] to [D];we can allow that emanation signals Newtons commitment to a version of the doctrine32McGuire (1978, 480), uses the language of ontic dependence in order to avoid the language of causation.Given our post Humean condition this may be said to attempt to capture the insight that as it were emanationunderstood as Baconian formal causation is not quite our notion of causation.33Marc Lange has called my attention to a very interesting passage in Hooker: Whereas therefore thingsnatural which are not in the number of voluntary agents do so necessarily observe their certain laws, thatas long as they keep those forms which give them their being, they cannot possibly be apt or inclinable to dootherwise than they do; seeing the kinds of their operations are both constantly and exactly framed accordingto the several ends for which they serve, they themselves in the meanwhile, though doing that which is t, yetknowing neither what they do, nor why: it followeth that all which they do in this sort proceedeth originallyfromsome such agent, as knoweth, appointeth, holdeth up, and even actually frameth the same. (Hooker 1888,Of the Lawes of Ecclesiastical Politie, Book I.iii.4.) As Lange remarks: Shades of Hempel and Oppenheimfrom 350years later! Lange (2009) discusses the Hooker passage briey in chapter 1.Hooker is claiming that natural things are law-like in virtue of Gods unknowable general providence. (Cf.Descartes in Meditations!) The form is an imposed manifestation (if I may use that term) of Gods providence.Whats especiallyinterestingis that Hookers nature is very much knowable because it is part of makersknowledge; yet Hooker transforms that traditional (medieval) doctrine because he does not seem to be inter-ested in discovering local nal causes. So, not unlike Spinoza (who probably was familiar with the Baconpassage quoted in the body of the text) Hooker has an account of what one might call blind forms (blindbecause divorced from nal causes) that are responsible for the law-following order we nd in nature.1 3460 E. Schliesserof different degrees of reality, as well as the claim (in passage [B]) that the rst existingbeing transfers (somehow) its qualities to space. We can do this if we reject the claim thatemanation is a species of efcient causation.So, Bacon shows us the way to reconciling the rst three options.34Fair enough. NowI extend my reading by offering a speculation inspired by Thomas Kuhn, who once arguedthat during the scientic revolution formal causes morphed into laws of nature (Kuhn 1977,pp. 2130). His argument, while ingenuous, is largely speculative. But here we have evidencethat one of Bacons innovations appears to reinterpret the formal cause, or nature-engenderingnature, in terms of a law of nature (recall 2.II).35My proposal is that we should treat DeGrav as offering evidence of Newtons willingnessto try out a radical newidea: the emanative source of space could be better conceived as a for-mal cause of a decidedly modern kind: a law of nature. To be clear: I have very little positiveevidence for the view that I am defending. I am certainly not claiming that while writingDeGrav Newton conceived of the emanative cause as a law of nature. But reection on thethrust of DeGrav could have pushed him to recognizing this. Let me offer some arguments,some new and some reiterating earlier points.First, laws of nature can play the logical role that Stein assigns to the emanative cause.They provide the necessity that is required for his arguments to be persuasive. Second, whenwe conceive of emanative causation as a species of formal causation, then laws of nature tthe function that as it were emanation has in the discussion of space in DeGrav; Baconianlaws of nature are eternal and immutable (etc).36Third, the laws of motion in Newtons Principia have been treated as constitutive princi-ples (by neo-Kantians) or deeply entrenched empirical working assumptions (by Empiricists),but we can also read them as formal causes in Bacons sense. They are the natures that helpdene the nature of motion.37FourththeBaconianaspectofNewtonsconceptionofalawofnatureshowsupinadecidedly surprising place. In one of the most Voluntarist passages in Newtons oeuvre, hewrites: it may be also allowed that God is able to create particles of matter of several sizesand gures, and in several proportions to space, and perhaps of different densities and forces,and thereby to vary the laws of nature, and made worlds of several sorts in several parts of theuniverse (Query 31, Opticks 403404; emphasis added). It is the relationships among thedensities and forces of matter to space that accounts for the varying laws and worlds. That isto say, in the Opticks for Newton the nature-engendering nature of our world is simply theway in which bodies are organized. This picks out a Baconian form. In Newtons conceptionthe laws of nature vary if the way bodies are organized varies. With different laws of nature34Slowiks very ne papers do one disservice to the dialectic surrounding the meaning of Newtonian ema-nation. Steins treatment of Newtons use of emanation is not itself an argument for a third way betweenthe debate over substantivalist and relationist interpretation of absolute space, although it can certainly beslotted into such a one (as it is in Slowiks reconstruction of Steins argument). Steins treatment of emanationis really designed to put claims about the importance of Newtons theology for his physics on the defensive(see Stein 2002, 268, quoted in Slowik 2009, 436).35Karin Verelst has called my attention to an important passage in Burtt (1927, p. 64), where Burtt argues thatKepler transformed Aristotelian formal causes into an approach that sees underlying mathematical harmonyas a species of causation. A fuller analysis of these matters should certainly incorporate this aspect into theargument.36As Katherine Brading has pointed out to me, this argument works best for force laws (such as law ofuniversalgravitation)becausetheymakematterclumptogetherintothekindsofbodiesthatthereare(personal communication, 17 June 2011).37See McGuire (2007) for an argument that shows the importance for Newton of identifying natures. I haveextended this in Schliesser (2010a).1 3Newtonian Emanation, Spinozism, Measurement 461or Baconian emanative causes we have different worlds. The whole point of Query 31 is todeny that the laws of nature have a separate causal standing apart from the way matter isorganized.38This is the Baconian form. Of course, Newton is no Baconian because he is alsowilling to consider densities and forces as basic components.There is an objection to this Baconian reading: I have treated the emanative cause of spaceas a kind of philosophic, un-anthropomorphic God. This God is immanent in the world. Butit looks as if DeGrav has a very anthropomorphic conception of God; Newton repeatedlyappeals to the divine will; the power of God; Gods action of thinking and willing(27); divine constitution (30); the work of God and creation (33). In the Principia thiskind of anthropomorphism is more strictly conned to the General Scholium added to thesecond edition; in Opticks it shows up in Queries 28 and 31, especially. Yet it appears to be acentral conception of DeGrav. If correct, it is hard to accept a reading of Newton that treatsemanation as a Baconian form or nature-engendering nature.Yet, matters are not so simple. To see this we must investigate a little-noticed peculiarityof the structure of DeGrav. It contains two explicit appeals to the utility of his arguments inDeGrav: one is methodological in character, the other theological. It turns out that Newtonspresentation of God shifts between the two. First, at the start of DeGrav Newton introduceshis twofold method (12), which combines mathematical demonstration that abstracts fromphysical consideration with experimental conrmation. The twofold method is said to bemirrored in Newtons text: the mathematical demonstration is supposed to be conned tolemmas, propositions, andcorollaries, whilethefreermethodofdiscussionassociatedwith the experimental conrmations are disposed in scholia (12). Newton explicitly jus-ties his introduction of experimental conrmations to make clear the usefulness of hismathematical demonstrations (12).Second, later in DeGrav Newton sums up his treatment of the idea of body by callingattention to its usefulness because it clearly involves the principal truths of metaphysicsand thoroughly conrms and explains then (31). In the very next sentence Newton makesexplicit the advantages: we cannot posit bodies of this kind without at the same time posit-ing that God exists, and has created bodies in empty space out of nothing, and that they arebeings distinct from created minds, but able to be united with minds (31). Newtons targetis Descartes and the atheists (32).Now there need be no conict between the methodological and theological utility. Nordo I mean to suggest that the whole of DeGrav is organized around a distinction between amethodological and theological section. In fact, most of what we have of DeGrav is explicitlya digression (36) meant to dispose of Cartesians ctions (14; in Janiaks 2004 edition thedigression is most of the document). But the rst half of the digressionon the aws of Carte-sian conception of motion (1421) and Newtons positive conception of space (2127)isnot theologically useful in the way the more speculative treatment of body (2735) is.Newtons employment of emanativecausation(as indicatedinthefour passages,[A][D] above), which offers us an un-anthropomorphic God, is conned to the treatmentof space, that is, in the part that is designed to lay truer foundations of the mechanical sci-ences (21). Presumably these foundations are the way in which his methodology is useful(cf. the use of foundations in 12 and 21). But when Newton turns to his theologically usefultreatment of body, emanative causation is absent (except, perhaps, hypothetically at 31). Thetreatment of thecreation ofbody, whichis useful to metaphysics, relieson an anthropo-morphic God. So, my response to the objection is: do not conate the rst half of DeGravs38In Schliesser (2010a) I argue that this is the view that guided Newtons treatment of gravity in the rstedition of Principia. For further discussion on the status of second causes in Newton, see Schliesser (2011).1 3462 E. Schliesserdigression (2127) with the second half (2735; cf. Slowik 2009, 438ff). It is only the rsthalf of the digression that ts more clearly the general methodological aims of DeGrav; thereemanative causation gures in the way that resemble Bacons notion of a formal cause. Strik-ingly, Newton is more condent of the status of the exceptionally clear idea of extension(22) than he is of the more uncertain part about the limits of the divine power (27).Finally, Geoff Gorham uses these remarks as a source of an objection. Gorham acceptsmy claim that in DeGrav Newton separates Gods will from the formal reason of bodies.But he is more skeptical about my claim that one can use Baconian emanation as a way tointerpret the relationship between God and space. As Gorham writes: Space and bodies arevery different sorts of effects according to De Gravitatione: the former is necessary, eternal,uncreated, imperceptible, innite, indivisible, immobile and causally inert while the latterare, as Newton says, opposite in every respect. (DG: 33) Indeed, laws are only mentionedin DeGrav after the account of space has been completed and the more uncertain accountof body is introduced. I agree with Gorham that one should not conate Newtons treat-ments of space and body in DeGrav. In fact, my argument relies on the assumption that theseneed to be kept separate not only because they have a different epistemic status (as Gorhamnotes) but also because they presuppose largely different conceptions of God (although Ihave also argued that even the treatment of the essential features of body is less Voluntaristthan ordinarily supposed in the scholarly literature).So,toclarifymypositionandsumup:IusetheevidencefromBacontoargue,rst,thatwhenNewtonspeaksofemanationhecouldbethinkingofcausa-sui-like,formalcausation. IfwetreatemanationasaspeciesofformalcausationthenwecanreconcileSteins necessitarian reading with most of the Platonist elements that others have discerned inDeGrav, especially Newtons commitment to doctrines of different degrees of reality as wellas the manner in which the rst existing being transfers its qualities to space. This is themain point of my argument. Second, I use the evidence from Bacon to claim that Newtonshares with Bacon a privileging of material composition as (part of) the ontic source of law-like regularity in the world, and this is another, more speculative, way to understand the roleof emanation in DeGrav.We can also appreciate that one of Newtons most important decisions in recasting thematerial for Principia was, rst, to drop the language of formal causation that was still pres-ent in DeGrav and replace it with the language of lawironically, this was a concession toCartesian terminologyand, second, to separate the theologically useful material from themain argument.39While it is clear that I advocate the fourth option, my main aim has been to suggest theshortcomings of all the current readings. In particular, with possible exception of McGuire(1978), no reading I am familiar with has attempted to do full justice to the intricacy of all ofthe details of Newtons treatment of emanation. My appeal to Bacon is meant to advance theargument by showing the fruitfulness of treating Newtons use of emanation as a species offormal causation. But I do not claimthat I have accounted for all the peculiarities of Newtonsposition. I turn to one of these in next section of this paper.4 Newton on existence and measurementRecallpassage[C]:Spaceisanaffectionofabeingjustasabeing.Nobeingexistsorcan exists which is not related to space in some way. God is everywhere, created minds are39Again, note, that I am not offering a historical account. For useful recent study, see Henry (2004).1 3Newtonian Emanation, Spinozism, Measurement 463somewhere, and body is in the space that it occupies; and whatever is neither everywhere noranywhere does not exist. And hence it follows that space is an emanative effect of the rstexisting being, for if any being whatsoever is posited, space is posited.It continues with [C*]: And the same may be asserted of duration: for certainly both areaffections or attributes of a being according to which the quantity of any things existence isindividuated to the degree that the size of its presence and persistence is specied. So thatthe quantity of the existence of God is eternal in relation to duration, and innite in relationto the space in which he is present; and the quantity of the existence of a created thing isas great in relation to duration as the duration since the beginning of its existence, and inrelation to the size of its presence, it is as great as the space in which it is present (2526).It is to Ed Slowiks credit that he has tried to t [C*] in his Platonizing interpretationof DeGrav. Nevertheless, even he has to admit that the, quantity of existence is a fairlymysterious and undened notion in the De Gravitatione, so it is difcult to draw a specicconclusion based on this use of terminology. (this volume) But this does not mean we cannotsay anything at all. McGuire, by contrast, relies on Newtons 1692-3 manuscript (which hehas dubbed Tempus et Locus) to argue that Newton is committed to the claimthat what isnever and nowhere, it is not in the nature of things [rerum natura].40In one sense McGu-ires interpretation of Newton is correct. As we have already seen above, all things must existin space and time. To put this in Steenbergens apt phrase: an entity exists only insofar asits quantity of existence is speciable.41But as McGuires argument develops he associates this doctrine with a further claim thatNewton must deny that God exists in space in the manner of an extended being (505).McGuires argument rests on the claim that any being has a manner proper to itself of beinginspaces(506;recallpassage[D]above). TheupshotforMcGuireisthatquantityofexistence means something different for God and bodies. For the former is a permanentthing and the latter a successive thing (496ff; McGuire is relying on the opening lines ofTempus et Locus and the General Scholium for his argument). Crucially this is the case forMcGuires reading of Newton because the successive things rely upon Divine will (497).But in context (that is, of the claim that any being has a manner proper to itself of beingin spaces) Newton wishes to deny that God is like a body, extended and made of divisibleparts.42Newton is not claiming that there are two ways of having a quantity of existence inspace or two ways of having a quantity of existence in time. As Steenbergen notes, Newtonis distinguishing between the fact of a thing as existing in space and the manner in which itdoes so. So, what is Newtons position in DeGrav?First, Newton indicates that he is treating space and time symmetrically, something whichcarries over in Principia (Gorham2011). This means that time is also a condition of possibil-ity of all existing entities. Time is presumably also indivisible, innite, etc. Whatever we sayabout the emanative relation between God and space also holds between God and time.Second, the geometric richness of space (and by analogy of time) is sufcient for allthings to have determinate quantities of extension and duration.43The significance of thisis that Newtons two-fold method is not exhausted by mathematical propositions and exper-imental conrmations; measurement is the method to establish a way of being of entities.40McGuire (1978, 465), quoting Tempus et Locus, CUL Ms. Add. 3965, Sect. 13, folio 545r.41See Steenbergen unpublished ms. Here I cannot do justice to Steenbergens very interesting reconstructionof the relationship among this point, Newtons claims about affection, and emanation.42This is stressed in Gorham (2011).43See, especially, DeGrav, 2223. It would have been nice if Newton had also mentioned these geometricqualities in passage [B] above; now their source is left unexplained. I thank Katherine Brading for discussion.1 3464 E. SchliesserBefore I explicate this (and what Newton means by quantity of existence) I need to makean important point to prevent misunderstanding (and distinguish my view from McGuires):being in space and in time is a necessary condition for existence of an entity, but these (forlack of a better word) dimensions of being do not exhaust the way of being for Newton inDeGrav. Recall that Newton also allows that entities can have different degrees of reality.As he writes, bodies have a degree of reality that is of an intermediate nature betweenGod and accident (Newton 2004 32). Now Newton asserts the doctrine of different degreesof reality to help explain (as a kind of error-theory) the Scholastic prejudice in applyingthe same word, substance univocally to God and his creatures.44Bodies have somesubstantial reality but are not themselves substances. This makes sense in light of Newtonsclaim that a substance is absolute in itself, while extension is not among the proper affec-tions that denote substance, namely actions, such as thoughts in the mind and motions inbodies (Newton 2004, 21). To have full reality is to be the source of activity. This is not theplace to try to articulate further what Newton could mean by this and the substance monismtoward which it tends in DeGrav.Yet, third, when in the mechanical sciences we individuate quantities, which exist in somespace-timestructure,theycanthenhavesubstantialrealitywithoutinheringinasub-ject (3233; see also Stein (2002), which also defends the use of the slightly anachronisticspace-time language).45Newton insists against Descartes that bodies must also have thecapacities to stimulate perceptions in the mind by means of various bodies (35). For abody to be a body in the mechanical sciences it must be susceptible to measurement. (Thecriticism of Descartes treatment of motion boils down to the claim that Descartes conceptscannot yield a determinate motion, DeGrav, 20!) What is true of body is true of all entitiesas a subject of mechanical science: they must have the ability to be perceived by minds bymeans of other bodies. We can now appreciate the relevance of [C*].In [C*], Newton is concerned with the way of being of entities as appropriate to mechan-ical science. This is why Newton focuses on quantities and sizes in [C*]; quantities matterbecausetheyarewhatismeasured.Newtonisnot claimingthatmeasurementrevealsallaspects of an entity. But if we measure an entity then it exists as a magnitude in space and asa magnitude in time.46This is why in DeGrav Newtons conception of existence really helpsto lay truer foundations of the mechanical sciences (21).IfGodexists, hehas(spatial andtemporal)magnitude. IfwereadDeGravcarefullywe see it has a very radical message: if God is going to be susceptible to analysis withinnatural philosophy (see the General Scholium or Query 31 in Opticks), then it, too, must besusceptible to measurement. No wonder Newton suppressed its publication.4744This is one of the few places in DeGrav, where Newton is in agreement with Descartes (Principles ofPhilosophy, 1.51). For more on such agreement, see Gorham (2011).45In earlier draft I had claimed that for Newton we individuate entities. But as Steenbergen notes, Newtondoes not say we can individuate an entity. Rather he says we can individuate a quantity.46In private correspondence (May 16, 2011), McGuire puts it as follows, that being in a space-time nexusconfers actuality on things; but it also indicates the magnitude of a things existence. Thus, having magnitudeis a crucial part of what it is to have actuality, even for God.47Goldish (1999) Newtons Of the Chuch: Its Kluwer, 148 and 162ff, points out that later in life Newtonrejected emanation theories which he associated with Leibniz (see, for example, Monadology; see also Dis-course on Metaphysics, 14). Moreover, on Goldishs account emanation conicts with Newtons embrace ofa voluntarist conception of God. On my account the Voluntarism only becomes predominant with the GeneralScholiumintroducedinthesecondeditionofthePrincipia.IthankJohnHenryforremindingmeofthesignificance of Goldish piece.1 3Newtonian Emanation, Spinozism, Measurement 465Acknowledgments TheauthorthanksZviBiener,SarahBrouillette,GeoffGorham,JohnHenry,GeoffMcDonough Mogens Laerke, MaartenVan Dyck, and KarinVerelst for very helpful comments on earlierdrafts. Moreover, I have beneted from Gordon Steenbergen (ms) The Role of Measurement in NewtonsDe Gravitatione, which has caught numerous ambiguities in my formulation of my position, as well as Kath-erine Brading and Ted McGuire who provided extremely insightful comments on the nal draft of this paper.In fact, in the unpublished McGuire (2011), McGuire revisited many of his earlier views that are criticallydiscussed here. Our remaining differences on these matters are, I believe, now more a matter of emphasisthan deep disagreement except for his ongoing misgivings over my attempt to link Newtonian emanation withSpinozistic causa sui. The usual caveats apply.ReferencesBacon, F. (1863). New Organon (J. Spedding, R. L. Ellis, & D. D. Heath, Trans.). In The works (Vol. VIII).Boston: TaggardandThompson.Burtt, E. A. (1927). Themetaphysicalfoundationsofmodernscience. London:K. Paul, Trench, Trubner&Co.Cassirer, E. (1951). The philosophy of the enlightenment (P. P. James & C. A. K. Fritz, Trans.). 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Zalta (Ed.), forthcoming URLhttp://plato.stanford.edu/archives/win2008/entries/hume-newton/.Schliesser, E. (2010a). WithoutGod:gravityasarelationalqualityinNewtonstreatise. InD. Jalobeanu&P. Anstey, Vanishingbodyandthelawsofmotion:Descartesandbeyond. London:Routledge.Schliesser, E. (2010b). BookreviewofEpicureanismat theoriginsof modernity, byCatherineWilson.Mind, 119(474), 535539.Schliesser, E. (2011). Newtons substance monism, distant action, and the nature of Newtons empiricism:DiscussionofH. Kochiras. StudiesinHistoryandPhilosophyof Science, 42(1), 160166.Schliesser,E.(Forthcoming,a).Spinozaandthephilosophyofscience:Mathematics,motion,andbeing.InM. D. Rocca(Ed.), Oxfordhandbookof Spinoza. Oxford: OxfordUniversityPress.Schliesser, E. (Forthcoming, b). OnreadingNewtonasanEpicurean: Kant, SpinozismandthechangestothePrincipia. StudiesinHistoryandPhilosophyof Science.Slowik, E. (2008). Newtonsmetaphysicsof space: ATertiumQuidbetwixt substantivalismandrel-ationalism, orMerelyaGodofthe(Relational Mechanical)Gaps?http://philsci-archive.pitt.edu/archive/00004185/.Slowik, E. (2009) Newtonsmetaphysicsof space: ATertiumQuidbetwixt substantivalismandrela-tionalism, orMerelyaGodofthe(RelationalMechanical)Gaps?PerspectivesonScience, 17(4),429456.Slowik, E. (2012). Newtons neo-platonic ontology of space. Foundations of Science. doi:10.1007/s10699-011-9278-z.Steenbergen, G. (ms). Theroleofmeasurement inNewtonsDeGravitatione.Stein, H. (1967). Newtonianspacetime. TexasQuarterly, 10, 174200.Stein, H. (2002). Newtonsmetaphysics. InI. B. Cohen&G. E. Smith(Eds.), CambridgecompaniontoIsaacNewton. Cambridge: CambridgeUniversityPress.Whitehead, A. N. (1933). Adventuresof ideas. NewYork: Simon&Schuster.Author BiographyEricSchliesser (Ph.D.TheUniversityofChicago,2002)isBOFResearchProfessorinPhilosophyandMoral Sciences at Ghent University. He writes about early modern philosophy and science (especially Newton,Spinoza, Huygens, Berkeley, Adam Smith, Hume, Sophie de Grouchy), the history of sympathy research, andthe history and philosophy of recent economics, especially Chicago Economics. He has co-edited volumeson Adam Smith and Isaac Newton, and has agreed to edit various volumes on sympathy, methodology inhistorical scholarship, and on neglected philosophers.1 3