Abstract
This introductory chapter spells out our vision of a more inclusive history of space. We start with a close look at the meaning of the concept of space and its cognates, noting their practical as well as theoretical implications. In exploring earthly, imaginary and (un)godly places and spaces, we remain in continuous interaction with the classical historiography of space but also add unexpected perspectives. Suspicious of linear or teleological accounts, we stress the flourishing and mixing of many different ideas about space. This chapter is simultaneously a stand-alone introduction to the history of early modern space and an introduction to the contributions that follow, which we locate in a thematic network.
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Notes
- 1.
“Si spacium nihil est, frustra quaeratur, an spacium sit. Si verò spacium non sit, frustra itidem quaeretur, an spacium sit aliquid. Communis quaedam omnium hominum notio, spacium, et esse, et aliquid esse videtur voluisse, cum nomina haec, vel talia formaret, Dimensio, Distantia, Inveruallum, Intercapedo, Spacium, Diastasis, Diastema.” Patrizi (1587, 2v).
- 2.
Isidore (1911, XV.9.2): “Intervalla sunt spatia inter capita vallorum, id est stipitum quibus vallum fit; unde et cetera quoque spatia dicunt, ab stipitibus scilicet”.
- 3.
Vitruvius (1912), III.3.11.
- 4.
Ibid., I.6.8.
- 5.
Ibid., I.6.9.
- 6.
Ibid., II.9.14.
- 7.
For infinity: Lucretius (1910, I.984–986), for vacuum: Ibid., I.378–379.
- 8.
Ibid., I.426–427.
- 9.
Ibid., I.426–428, also 503–510.
- 10.
Ibid., I.520-523. Lucretius (1992, 45). Finally, Lucretius, as was common, uses “spatium” frequently to refer to intervals of time. These intervals might be short or as long as the innumerable ages that preceded us. On the space of ages past, see Ibid., I.234–236.
- 11.
The traditional narrative has ascribed the invention of absolute space to the Scientific Revolution, e.g. Jammer, who argued for a development of container space only after the Renaissance. Interestingly, Albert Einstein, in his introduction to Jammer’s book, undermines one of its core conclusions, arguing that “the atomic theory of the ancients, with its atoms existing separately from each other, necessarily presupposed a space of [this] type” (Jammer 1954, xvi). The history of ideas has continued to revise and refine its views on this subject. Gassendi’s reception of Epicurean thought, and especially of Epicurean space, deserves more study in this respect, as in Delphine Bellis’ work in progress on Gassendi and space.
- 12.
There is no etymological relationship between “topos” and “place.”
- 13.
On natural place, see Algra (1995, 195–221).
- 14.
Ibid., 197. Neoplatonists, in particular, contested Aristotle’s denial of place’s intrinsic causal power.
- 15.
Scafi (2006).
- 16.
Hayes (2004). She argues that there existed an ambiguity between sacred and profane spaces during the Middle Ages, and both were often mingled. During the early modern period, sacred and secular space became increasingly compartmentalized and differentiated.
- 17.
Neal (1732, 201). He rejected that consecration of churches and holy places was part of the original church, asserting that these practices “were not known in the Christian Church till the very darkest Times of Popery”. The consecration of a place was often compared with the baptism of a person.
- 18.
- 19.
- 20.
See Sambursky (1982, 43).
- 21.
Ibid., 45.
- 22.
- 23.
Note, however, that in contrast to Philoponus’ idea that place is empty spatial extension, Simplicius’ notion of place implies that it only becomes extended with bodies and is not extended on its own, independently of bodies. Simplicius (1992, 67). “Place is extended through its participation in the object in place, just as the object in place is measured and located by means of place.” Centuries earlier, Sextus Empiricus had ascribed the idea to Dogmatic philosophers, as Grant notes. Grant (1981, 276, n. 67).
- 24.
See Rashed (2002, 655–685).
- 25.
This becomes very clear, for instance in Casey, who purports to give a longue durée intellectual history of “place” but ends up writing more about space than place, in an otherwise wonderful book (Casey 2013).
- 26.
For more on Aristotelian topos, especially topos as not a surface, see Lang (1998, 66–121).
- 27.
For instance, the circumference of a circle is the topos of all the points equidistant to a given point. For Greek locus theorem, see Thomas (1951, 490–501).
- 28.
“Place is as it were a sort of outline (proupographe) of the whole position (thesis) and of its parts, and so to say a mold (tupos) into which the thing must fit, if it is to lie properly and not be diffused, or in an unnatural state.” Damascius, cited by Simplicius, In Aristotelis physicorum libros quattuor priores commentaria and translated by Sorabji (1988, 206). Also see Casey (2013, 91).
- 29.
See e.g. Alder (2002, Chap. 5).
- 30.
Sorabji (2004, 242).
- 31.
See Vincenzo de Risi’s chapter in this volume, as well as Jean Seidengart’s.
- 32.
“Or cette conception permet à Ibn al-Haytham ce qui était interdit à ses prédécesseurs: de pouvoir comparer les différents solides géométriques, ainsi que les diverses figures, qui occupent un même lieu, aussi bien que les lieux qu’ils occupent. Il lui est désormais permis de penser leurs relations de repérage, positions, formes et grandeurs, comme il le projetait dans Les Connus.” Rashed (2002, 662).
- 33.
- 34.
“Non est quantitas. Et si quantitas est, non est illa categoriarum, sed ante eam, eiusque fons et origo.” Patrizi (1587, 15v).
- 35.
See especially Grant (1979).
- 36.
If He was capable of creating a body in extra-cosmic space, it followed that He was present there. Because He was immutable, He had always occupied this space.
- 37.
“[…] unde & veraciter omnipraesens sicut & omnipotents dici potest. Potest quoque simili ratione dici quodammodo infinitus, infinitè magnus, seu magnitudinis infinitae, etiam quodammodo licet Metaphysicè & impropriè extensiue […]” Bradwardine (1618, 179).
- 38.
Kirschner (2000, 167–170).
- 39.
See especially Bruno’s De immenso. See Grant (1981, 191).
- 40.
The contrast and similarity with Bruno’s contemporary, the mystic and theologian Valentin Weigel (1533–1588), studied by Alessandro Scafi, is striking. Weigel argues that the world hangs against an infinite abyss of God, which is not conceptualized as a Brunean infinite space, but as a spiritual nothingness.
- 41.
Cf. Grant (1981).
- 42.
Cees Leijenhorst (1996).
- 43.
Martine Pécharman (2014). We would like to thank Martine Pécharman for making her text available to us before publication.
- 44.
Simon (2003).
- 45.
- 46.
Vanden Broecke (2000, 133).
- 47.
Gemma Frisius’ nephews, Walter and Jeremias Arsenius, were instrument makers. The signatures on the instruments often referred to Gemma Frisius, e.g.: ‘Gualterus Arsenius nepos Gemmae Frisii’. These instruments were very popular and used by John Dee, Tycho Brahe and others.
- 48.
- 49.
On the exactness of the water currents, Rossby and Miller (2003).
- 50.
Hallyn (2008, 52).
- 51.
There is a wide range of works on perspective spaces in art and architecture, and their rapport with natural philosophy, beginning with Panofsky’s classic study: Panofsky (1927). Also see Kubovy (1988); Damisch (1987). For more recent volumes, see Cojannot-Le Blanc et al. (2006), Carpo and Lemerie (2008); Massey (2007).
- 52.
- 53.
Apianus and Frisius (1564, ff.3r).
- 54.
- 55.
Ptolemy’s Geography was rendered into Latin by Jacopo d’Angelo, who gave the book the title Cosmographia because Ptolemy’s method connected the earth with the heavens. The translation circulated in manuscript form from 1406 onwards.
- 56.
Cf. Alder (2002).
- 57.
See esp. Chap. 18 of Frisius (1530).
- 58.
Pogo (1935).
- 59.
Goldstein (1987), especially 173.
- 60.
- 61.
“Quae enim ars tot praestigiarum, tot fallaciarum, in quibus humana mens per se caecutire nata est, rationes monstrat? Quae scientia tot miraculorum causas aperit? Parua moles ingentis magnitudinis saepè apparet: curua rectis, recta curuis […] quibus natura ingenium hominis vel ludificari, vel certè ad causarum inquisitionem mouere voluit? […] sola Optice has naturae fallacias retegat […]” Péna (1557) , aa.iir-aa.iiv of praefatio.
- 62.
- 63.
For Galileos conservative position in the case of cometary parralax, see e.g. Gal and Chen-Morris (2013, Chap. 3).
- 64.
Here we are on familiar terrain, researched in detail and described in extenso in history of science textbooks.
- 65.
Of course, we are not referring here to a “connected history” that connects different places and studies circulations of knowledge, but rather to a historiography that connects different practices in order to better understand interconnections between various conceptualizations of different spaces.
- 66.
Euclid (1570, page 24 of Dee’s unnumbered preface).
- 67.
Apian and Frisius Apianus (1564) [1533]. See the definition of cosmography under caput primum, 1r.
- 68.
- 69.
This is from the table of contents of François de Belleforest’s 1575 French translation, La cosmographie universelle de tout le monde. For a list of the translations and editions, see McLean (2007, 346).
- 70.
- 71.
For the early modern development of mapping and the great difference between the sixteenth-century vision of the world and what had come before, see Smith (2008).
- 72.
- 73.
We cite the 1575 French translation. Münster (1575, 5).
- 74.
“La mer donc des ce jour n’eut point sa situation naturelle, ains estant retiree en la partie opposite de cette masse terrestre, a autant redoublé sa profondeur, comme elle a descouvert de la terre.” Ibid., 6.
- 75.
Other Renaissance savants of considerable repute, among them Gregor Reisch (1467–1525), also carried Buridan’s idea well into the sixteenth century. See Besse (2003, 91–96).
- 76.
The image illustrates a passage from Jean Peckham’s Tractatus de sphera.
- 77.
Münster (1550, 1).
- 78.
Vogel (2006, 477–478).
- 79.
Ibid.
- 80.
Apian and Frisius (1964, 3r).
- 81.
See Besse (2003, 16).
- 82.
Ptolemy (2000, 60).
- 83.
He makes a point of telling his readers that mountains and valleys, although impressive from up-close, hardly modify the “perfect rotundity” or “perfect sphericity” of the earth.
- 84.
“[…] les nerfs pour la continuation qu’ils ont avec leur principe, comme ont les rayons avec le Soleil, apportent du cerveau le pouvoir reelle en un corps bien subtil, qui est l’esprit animal […]” du Laurens (1615, 7r).
- 85.
On this interconnectedness of mind, body and environment through spirits and imagination, see e.g. Vermeir (2004). The idea that the imagination was so powerful that it could extend its action outside the body was often debated in medieval discussions of action at a distance.
- 86.
- 87.
For example, Cicero (1917) II.49. Early modern writers did not ignore “spatium” or its frequent variant “spacium.” However, they stuck to the other connotations. Consider how Rheticus, explaining the Copernican order, fans out a series of terms each referring to a different kind of space: “[…] between the concave surface of Mars’s orb [orbis], and the convex orb of Venus, the space [spacium] must be large enough to surround the globe [globum] of the earth, along with the adjacent elements and the Lunar orb.” “…sed intra concauam superficiem orbis Martis, et conuexam Veneris, cum satis amplum relictum sit spacium, globum telluris cum adiacentibus elementis, orbe Lunari circundatum…” We have used the edition of the Narratio prima (1540) published in 1596 and reprinted in Kepler (1937).
References
Alder, Ken. 2002. The measure of all things. London: Free Press.
Algra, Keimpe. 1995. Concepts of space in Greek thought. Leiden: Brill.
Apianus, Petrus and Frisius, Gemma. 1564 [1539]. Cosmographicus liber. Antwerp: Joannes Withagius.
Backus, Irena. 2011. Leibniz’s concept of substance and his reception of John Calvin’s doctrine of the Eucharist. British Journal for the History of Philosophy 19(5): 917–933.
Barker, Peter. 1985. Jean Pena (1528–58) and Stoic physics in the sixteenth century. The Southern Journal of Philosophy 23(S1): 93–107.
Barker, Peter. 2008. Stoic alternatives to Aristotelian cosmology: Pena, Rothmann and Brahe. Revue D’histoire Des Sciences 61(2): 265–286.
Besse, Jean-Marc. 2003. Les grandeurs de la terre: aspects du savoir géographique à la Renaissance. Paris: ENS Éditions.
Bradwardine, Thomas. 1618. De causa Dei, contra Pelagium. London: Joannes Billius.
Brahe, Tycho. 1610 [1602]. Astronomiae instauratae progymnasmata. Uraniborg.
Carpo, Mario, and Frédérique Lemerie (eds.). 2008. Perspective, projections and design: technologies of architectural representation. London: Routledge.
Casey, Edward. 2013. The fate of place: a philosophical history. Berkeley: University of California Press.
Cicero. 1917. De natura deorum, ed. O. Plasberg. Leipzig: Teubner.
Cojannot-Le, Blanc, et al. 2006. L’artiste et l’oeuvre à l’épreuve de la perspective. Rome: École française de Rome.
Connolly, Daniel K. 1999. Imagined pilgrimage in the itinerary maps of Matthew Paris. The Art Bulletin 81(4): 598–622.
Connolly, Daniel K. 2009. The maps of Matthew Paris. Medieval journeys through space, time and liturgy. Woodbridge: Boydell Press.
Damisch, Hubert. 1987. L’origine de la perspective. Paris: Flammarion.
du Laurens, André. 1615. Discours de la conservation de la veuë : des maladies mélancoliques, des catarrhes, & de la vieillesse. Rouen: Claude le Villain.
El-Bizri, Nader. 2007. In defence of the sovereignty of philosophy: al-Baghdådí’s critique of Ibn al-Haytham’s geometrisation of place. Arabic Sciences and Philosophy 17(1): 57–80.
Euclid et al. 1570. The elements of geometrie of the most auncient philosopher Euclide of Megara… with a very fruitfull praeface made by M. I. Dee, specifying the chiefe mathematicall sciences, trans. Henry Billingsley. London: John Daye.
Forrester, John M., and John Henry (eds.). 2005. Jean Fernel’s on the hidden causes of things: forms, souls and occult diseases in renaissance medicine. Leiden: Brill.
Fouke, Daniel C. 1992. Metaphysics and the Eucharist in the early Leibniz. Studia Leibnitiana 2(1992): 145–159.
Frisius, Gemma. 1530. Gemma Phrysius de Principiis astronomiae et cosmographiae deque usu globi ab eodem editi. Leuven and Antwerp.
Funkenstein, Amos. 1986. Theology and the scientific imagination. Princeton: Princeton University Press.
Gal, Ofer, and Raz Chen-Morris. 2013. Baroque science. Chicago: The University of Chicago Press.
Goldstein, Bernard R. 1987. Remarks on Gemma Frisius’s De radio astronomico et geometrico. In From ancient omens to statistical mechanics: essays on the exact sciences presented to Asger Aaboe, eds. J. L. Berggren and B. R. Goldstein, Acta Historica Scientiarum Naturalium et Medicinalium 39, 167–180. Copenhagen: University Library.
Granada, Miguel A. 2007. New visions of the cosmos. In The Cambridge companion to Renaissance philosophy, ed. James Hankins, 270–286. Cambridge: Cambridge University Press.
Grant, Edward. 1979. The condemnation of 1277, God’s absolute power, and physical thought in the late Middle Ages. Viator 10.
Grant, Edward. 1981. Much ado about nothing: theories of space and vacuum from the Middle Ages to the Scientific Revolution. Cambridge: Cambridge University Press.
Hallyn, Fernand. 2008. Gemma Frisius, arpenteur de la terre et du ciel. Paris: Honoré Champion.
Hayes, Dawn Marie. 2004. Body and sacred place in medieval Europe, 1100–1389. London: Routledge.
Isidore. 1911. Isidori Hispalensis Episcopi. Etymologiae sive origins libri XX. Oxford: Oxford University Press.
Jammer, Max. 1954. Concepts of force: a study in the foundations of dynamics. Cambridge, Massachusetts: Harvard University Press.
Kepler, Johannes. 1937–. Johannes Kepler Gesammelte Werke, ed. M. Caspar et al. Munich: Verlag C. H. Beck.
Kirschner, Stefan. 2000. Oresme’s concepts of space, place, and time in his commentary on Aristotle’s physics. Oriens/Occidens. Sciences, mathématiques et philosophie de l’antiquité à l’àge classique 3: 145–179.
Koyré, Alexandre. 1957. From the closed world to the infinite universe. Baltimore: Johns Hopkins University Press.
Kubovy, Michael. 1988. The psychology of perspective and Renaissance art. Cambridge: Cambridge University Press.
Lang, Helen. 1998. The order of nature in Aristotle’s physics: place and the elements. Cambridge: Cambridge University Press.
Leijenhorst, Cees. 1996. Jesuit concepts of Spatium Imaginarium and Thomas Hobbes’s doctrine of space. Early Science and Medicine 1(3): 355–380.
Lucretius. 1910. De rerum natura libri sex, ed. Cyril Bailey. Oxford: Oxford University Press.
Lucretius. 1992. On the nature of things, trans. W. H. D. Rousse. Cambridge, Massachusetts: Harvard University Press.
Massey, Lyle. 2007. Picturing space, displacing bodies: anamorphosis in early modern theories of perspective. University Park, Pennsylvania: Pennsylvania State University Press.
McLean, Matthew. 2007. The Cosmographia of Sebastian Münster: describing the world in the reformation. Aldershot, U.K.: Ashgate.
Münster, Sebastian. 1550. Cosmographia universalis. Basel: Heinrich Petri.
Münster, Sebastian. 1575. La cosmographie universelle de tout le monde, trans. François de Belleforest. Paris: Michel Sonnius.
Neal, Daniel. 1732. The history of the Puritans or Protestant non-conformists. London: Richard Hett.
Nutton, Vivian. 1983. The seeds of disease: an explanation of contagion and infection from the greeks to the renaissance. Medical History 27: 1–34.
Nutton, Vivian. 1990. The reception of Fracastoro’s theory of contagion: the seed that fell among thorns? Osiris 6: 196–234.
Panofsky, Erwin. 1927. Perspective as symbolic form, trans. Christopher Wood. New York: Zone Books.
Patrizi, Francesco. 1587. De rerum natura libri ii priores. Aliter de spacio physico, aliter de spacio mathematico. Ferrera: Baldinus.
Pécharman, Martine. 2014. La construction de la doctrine de l’espace chez Hobbes: spatium/space, locus/place. In Locus-Spatium. XIV Colloquio Internazionale, D. Giovannozzi and M. Veneziani, eds. Florence: Leo Olschki Editore.
Péna, Jean. 1557. Euclidis Optica et Catoptrica, nunquam antehac graece aedita. Eadem latine reddita per Joannem Penam… His praeposita est ejusdem Joannis Penae de usu optices praefatio… Paris: A. Wechelus.
Philoponus. 1888. Ioannis Philoponi in Aristotelis physicorum libros quinque posteriores commentaria, ed. Hieronymus Vitelli. Berlin: Reimer Verlag.
Philoponus. 2012. On Aristotle: Physics 4.1–5, trans. Keimpe Algra and Johannes van Ophuijsen. London: Bristol Classical Press.
Pogo, Alexander. 1935. Gemma Frisius, his method of determining differences of longitude by transporting timepieces (1530), and his treatise on triangulation (1533). Isis 22(2): 469–506.
Ptolemy. 2000. Ptolemy’s Geography: An annotated translation of the theoretical chapters, trans. J. Lennart Berggren and Alexander Jones. Princeton: Princeton University Press.
Randles, W.G.L. 1999. The unmaking of the medieval Christian cosmos, 1500–1760: from solid heavens to boundless aether. Aldershot, U.K.: Ashgate.
Rashed, Roshdi. 2002. Les mathématiques infinitésimales du IXe au XIe siècle : méthodes géométriques, transformations ponctuelles et philosophie des mathématiques, vol. 4. London: Al-Furqān Islamic Heritage Foundation.
Rashed, Roshdi. 2005. Geometry and dioptrics in classical Islam. London: Al-Furqān Islamic Heritage Foundation.
Rossby, H. Thomas, and Peter Miller. 2003. Ocean Eddies in the 1539 Carta Marina by Olaus Magnus. Oceanography 16(4): 77–88.
Sambursky, Samuel. 1977. Place and space in late Neoplatonism. Studies in History and Philosophy of Science Part A 8(3): 173–187.
Sambursky, Samuel. 1982. The concept of place in late Neoplatonism. Jerusalem: Israel Academy of Sciences and Humanities.
Scafi, Alessandro. 2006. Mapping paradise: a history of heaven on earth. Chicago: University of Chicago Press.
Sedley, David. 1987. Philoponus’s conception of space. In Philoponus and the rejection of Aristotelian science, ed. R. Sorabji, 140–153. London: Duckworth.
Short, John Rennie. 2004. Making space. Syracuse, NY: Syracuse University Press.
Simon, Gérard. 2003. Archéologie de la vision : l’optique, le corps, la peinture. Paris: Seuil.
Simplicius. 1992. Corollaries on place and time, trans J. O. Urmson. Ithaca: Cornell University Press.
Smith, D.K. 2008. The cartographic imagination in early modern England: rewriting the world in Marlowe, Spenser, Raleigh and Marvell. Aldershot, U.K.: Ashgate.
Sorabji, Richard. 1988. Matter, space and motion, theories in antiquity and their sequel, 1988. Ithaca: Cornell University Press.
Sorabji, Richard. 2004. The philosophy of the commentators, 200–600. London: Duckworth.
Thomas, Ivor, ed. and trans. 1951. Greek mathematical works: Thales to Euclid (vol. 1). Cambridge, Massachusetts: Harvard University Press.
Vanden Broecke, Steven. 2000. The use of visual media in renaissance cosmography: the cosmography of Peter Apian and Gemma Frisius. Paedagogica Historica: International Journal of the History of Education 36 (1): 130–150.
Vermeir, Koen. 2004. The ‘physical prophet’ and the powers of the imagination. Part I. A case-study on prophecy, vapours and the imagination (1685–1710). Studies in History and Philosophy of Science 35C(4): 561–591.
Vermeir, Koen. 2012. Castelli in aria: immaginazione e Spirito della Natura in Henry More. LoSguardo 10(3): 99–122.
Vitruvius. 1912. De architectura. F. Krohn. Leipzig: B.G. Teubner.
Vogel, Klaus A. 2006. Cosmography. In Cambridge history of science: early modern science, eds. Katharine Park and Lorraine Daston, 469–496. Cambridge: Cambridge University Press.
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Regier, J., Vermeir, K. (2016). Boundaries, Extents and Circulations: An Introduction to Spatiality and the Early Modern Concept of Space. In: Vermeir, K., Regier, J. (eds) Boundaries, Extents and Circulations. Studies in History and Philosophy of Science, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-319-41075-3_1
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