Grosseteste, Robert
Grosseteste, Robert
(b ; Suffolk, England, ca. 1168; d. Buckden, Buckinghamshire, England, 9 October 1253)
natural philosophy, optics, calendar reform.
Grosseteste was the central figure in England in the intellectual movement of the first half of the thirteenth century, yet the only evidence for his life before he became bishop of Lincoln in 1235 is to be found in fragmentary references by Matthew of Paris and other chroniclers, by Roger Bacon, and occasionally in charters, deeds and other records.1 His birth has been variously dated between 1168 and 1175, but since he is described as “Magister Robertus Grosteste” (the first appearance of his name) in a charter of Hugh, bishop of Lincoln, of probably 1186–1190, the earlier date is the more likely. Tradition places his birth in Suffolk, of humble parentage. He may have been educated first at Lincoln, then at Oxford, and was in the household of William de Vere, bishop of Hereford, by 1198, when a reference by Gerald of Wales suggests that he may have had some knowledge of both law and medicine. After that it seems likely that he taught at Oxford in the arts school until the dispersion of masters and scholars during 1209–1214. He must have taken his mastership in theology, probably at Paris, during this period, some time before his appointment as chancellor of the University of Oxford, although with the title magister scholarum, probably about 1214–1221, when he must have lectured on theology.
Grosseteste was given a number of ecclesiastical preferments and sinecures, including the archdeaconry of Leicester in 1229; but in 1232 he resigned them all except for a prebend at Lincoln, writing to his sister, a nun: “If I am poorer by my own choice, I am made richer in virtues.”2 From 1229 or 1230 until 1235 he was first lecturer in theology to the Franciscans, who had come to Oxford in 1224. His influence there was profound and continued after he left Oxford in 1235 for the see of Lincoln, within the jurisdiction of which Oxford and its schools came. He contributed largely to directing the interests of the English Franciscans toward the study of the Bible, languages, and mathematics and natural science. Indispensable sources for this later period of his life are his own letters and those of his Franciscan friend Adam Marsh.
Grosseteste’s career thus falls into two main parts, the first that of a university scholar and teacher and the second that of a bishop and ecclesiastical statesman. His writings fall roughly into the same periods: to the former belong his commentaries on Aristotle and on the Bible and the bulk of a number of independent treatises, and to the latter his translations from the Greek. Living at a time when the intellectual horizons of Latin Christendom were being greatly extended by the translations into that language of Greek and Arabic philosophical and scientific writings, he took a leading part in introducing this new learning into university teaching. His commentary on Aristotle’s Posterior Analytics was one of the first and most influential of the medieval commentaries on this fundamental work. Other important writings belonging to the first period are his commentary on Aristotle’s Physics, likewise one of the first; independent treatises on astronomy and cosmology, the calendar (with intelligent proposals for the reform of the inaccurate calendar then in use), sound, comets, heat, optics (including lenses and the rainbow), and other scientific subjects; and his scriptural commentaries, especially the Moralitates in evangelica, De cessatione legalium, Hexaëmeron and commentaries on the Pauline Epistles and the Psalms. Having begun to study Greek in 1230–1231, he used his learning fruitfully during the period of his episcopate by making Latin translations of Aristotle’s Nicomachean Ethics and De caelo (with Simplicius’ commentary), of the De fide orthodoxe of John of Damascus, of Pseudo-Dionysius and of other theological writings. For this work he brought to Lincoln assistants who knew Greek; he also arranged for a translation of the Psalms to be made from the Hebrew and seems to have learned something of this language.
Although in content a somewhat eclectic blend of Aristotelian and Neoplatonic ideas, Grosseteste’s philosophical thinking shows a strong intellect curious about natural things and searching for a consistently rational scheme of things both natural and divine. His search for rational explanations was conducted within the framework of the Aristotelian distinction between “the fact” (quia ) and “the reason for the fact” (propter quid ). Essential for the latter in natural philosophy was mathematics, to which Grosseteste gave a role based specifically on his theory, expounded in De luce self de inchoation formarum and De motu corporali et luce, that the fundamental corporeal substance was light (lux ). He held that light was the first form to be created in prime matter, propagating itself from an original point into a sphere and thus giving rise to spatial dimensions and all else according to immanent laws. Hence his conception of optics as the basis of natural science. Lux was the instrument by which God produced the macrocosm of the universe and also the instrument mediating the interaction between soul and body and the bodily senses in the microcosm of man.3 Grosseteste’s rational scheme included revelation as well as reason, and he was one of the first medieval thinkers to attempt to deal with the conflict between the Scriptures and the new Aristotle. Especially interesting are his discussions of the problems of the eternity or creation of the world, of the relation of will to intellect, of angelology, of divine knowledge of particulars, and of the use of allegorical interpretations of Scripture.
Grosseteste’s public life as bishop of Lincoln was informed by both his outlook on the universe as a scholar and his conception of his duties as a prelate dedicated to the salvation of souls. Analogous to corporeal illumination was the divine illumination of the soul with truth. He extended the luminous analogy to illustrate the relationship between the persons of the Trinity, the operation of divine grace through free will like light shining through a colored glass,4 and the relation of pope to prelates and of bishops to clergy: as a mirror reflects light into dark places, he said in asserting his episcopal rights against the cathedral chapter of Lincoln, so a bishop reflects power to the clergy5
In practice Grosseteste was governed by three principles: a belief in the supreme importance of the cure of souls; a highly centralized and hierarchical conception of the church, in which the papacy, under God, was the center and source of spiritual life and energy; and a belief in the superiority of the church over the state because its function, the salvation of souls, was more vital. Such views were widely accepted, but Grosseteste was unique in the ruthlessness and thoroughness with which he applied them, for example, in opposing the widespread use of ecclesiastical benefices to endow officials in the service of the crown or the papacy. As a bishop he had attended the First Council of Lyons in 1245, and in a memorandum presented to the pope there in 1250 he expounded his views on the unsuitability of such appointments while accepting the papal right to dispose of all benefices. Likewise, his opposition to the obstruction of the disciplinary work of the church by any ecclesiastical corporation or secular authority brought him into conflict both with his own Lincoln chapter and with the crown over royal writs of prohibition when secular law clashed with church law and when churchmen were employed as judges or in other secular offices. Grosseteste was a close friend of Simon de Montfort and took charge of the education of his sons, but the degree to which he shared in or influenced Montfort’s political ideals has probably been exaggerated. Above all he was a bishop with an ideal, an outstanding example of the new type of ecclesiastic trained in the universities.
Scientific Thought . Some of Grosseteste’s scientific writings can be dated with reasonable certainty, and most of the others can be related to these in an order based on internal references and on the assumption that the more elaborated version of a common topic is the later.6 From the evidence for his method of making notes on his reading and thoughts to be worked up into finished essays and commentaries,7 and from these writings themselves, it may be assumed that many of them arose out of his teaching in the schools. Gerald of Wales’s description of Grosseteste at Hereford as a young clerk with a manifold learning “built upon the sure foundation of the liberal arts and an abundant knowledge of literature”8 is borne out by what is probably his earliest work, De artibus liberalibus. In this attractive introduction he described how the seven liberal arts at once acted as a purgatio erroris and gave direction to the gaze and inclination of the mind (mentisaspectus et affectus ). Of particular interest is his treatment of music, of which his love became proverbial, and of astronomy. As for Boethius, music for him comprised the proportion and harmony not only of sounds produced by the human voice and by instruments but also of the movements and times of the celestial bodies and of the composition of bodies made of the four terrestrial elements—hence the power of music to mold human conduct and restore health by restoring the harmony between soul and body and between the bodily elements, and the related power of astronomy through its indication of the appropriate times for such operations and for the transmutation of metals. Related to this essay was his phonetical treatise De generatione sonorum, which he introduced with an account of sound as a vibratory motion propagated from the sounding body through the air to the ear, from the motion of which arose a sensation in the soul.
Grosseteste developed his mature natural philosophy through a logic of science based on Aristotle and through his fundamental theory of light. In their present form most of the works concerned were almost certainly written between about 1220 and 1235. De lute and De motu corporali et luce, with his cosmogony and cosmology of light, seem to date from early in this period. The structure of the universe generated by the original point of lux was determined, first, by the supposition that there was a constant proportion between the diffusion or “multiplication” of lux, corresponding to the infinite series of natural numbers, and the quantity of matter given cubic dimensions, corresponding to some finite part of that series. Second, the intensity of this activity of lux varied directly with distance from the primordial source. The result was a sphere denser and more opaque toward the center. Then from the outermost boundary of the sphere lumen emanated inward to produce another sphere inside it, then another, and so on, until all the celestial and elementary spheres of Aristotelian cosmology were complete. Another seemingly early work in this series, De generatione stellarum, shows Grosseteste dependent on Aristotle in many things but not in all, for he argued that the stars were composed of the four terrestrial elements. Later, in his commentary on the Physics, he contrasted the imprecise and arbitrary way man must measure spaces and times with God’s absolute measures through aggregates of infinites.
In all these writings Grosseteste made it clear that by lux and lumen he meant not simply the visible light which was one of its manifestations, but a fundamental power (virus, species) varying in its manifestation according to the source from which it was propagated or multiplied and in its effect according to its recipient. Thus he showed in De impressionibus elementorum how solar radiation effected the transformation of one of the four terrestrial elements into another and later, in De natura locorum, how it caused differences in climate. An explanation of the tides begun in De accessione et recessione maris or De fluxu et refluxu maris (if this work is by him)9 was completed in De natura locorum, in which he argued that the rays of the rising moon released vapors from the depth of the sea which pushed up the tide until the moon’s strength increased so much that it drew the vapors through the water, at which time the tide fell again. The second, smaller monthly tide was caused by the weaker lunar rays reflected back to the opposite side of the earth from the stellar sphere.
In De cometis et causis ipsarum Grosseteste gave a good example of his method of falsification in arguing that comets were “sublimated fire” separated from their terrestrial nature by celestial power descending from the stars or planets and drawing up the “fire” as a magnet drew iron. Later, in De calore solis (ca. 1230–1235), he produced perhaps his most elegant exercise in analysis by reduction to conclusions falsified either by observation or by disagreement with accepted theory, finally leaving a verified explanation. He concluded that all hot bodies generated heat by the scattering of their matter and that the sun generated heat on the earth in direct proportion to the amount of matter incorporated from the transparent medium (air) into its rays.
Grosseteste set out and exemplified the formal structure of his mature scientific method in his Commentarius in libros posteriorum Aristoielis his Commentarius in viii libros physicorum Aristotelis,10 and four related essays giving a geometrical analysis of the natural propagation of power and light. It seems likely that he began the commentary on the Posterior Analytics when he was still a master of arts, that is, before 1209, and completed it over a long period, finishing after 1220 and probably nearer the end of the decade. The commentary on the Physics was written later, likewise certainly over a period of years, probably around 1230. It has striking parallels with some of the scientific topics of the Hexaëmeron but shows less than even the limited knowledge of Greek found in this work, suggesting that it just precedes it.
For Grosseteste, as for Aristotle, a scientific inquiry began with an experienced fact (quia), usually a composite phenomenon. The aim of the inquiry was to discover the reason for the fact (propter quid), the proximate cause or natural agent from which the phenomenon could be demonstrated:
Every thing that is to be produced is already described and formed in some way in the agent, whence nature as an agent has the natural things that are to be produced in some way described and formed within itself, so that this description and form itself, in the very nature of things to be produced before they are produced, is called knowledge of nature 11
His method of discovering the causal agent was to make first a resolutio, or analysis of the complex phenomenon into its principles, and then a compositio, or reconstruction and deduction of the phenomenon from hypotheses derived from the discovered principles. He verified or falsified these hypotheses by observation or by theory already verified by observation.
Besides this double method, Grosseteste used in the analysis of the causal agent as the starting-point of demonstration another Aristotelian procedure, that of the subordination of some sciences to others, for example, of astronomy and optics to geometry and of music to arithmetic, in the sense that “the superior science provides the propter quid for that thing of which the inferior science provides the quia.12 But mathematics provided only the formal cause; the material and efficient causes were provided by the physical sciences. Thus “the cause of the equality of the two angles made on a mirror by the incident ray and the reflected ray is not a middle term taken from geometry, but is the nature of the radiation generating itself in a straight path....”13 The echo belonged formally to the same genus as the reflection of light, but the material and efficient causes of the propagation of sound had to be sought in its fundamental substance: “the substance of sound is lux incorporated in the most subtle air....”14 This introduced a fundamental addition to the very similar discussion of the propagation of sound in De artibus liberalibus and De generatione sonorum.
Grosseteste developed his geometrical analysis of the powers propagated from natural agents in the four related essays written most probably in the period 1231–1235. He said in the first, De lineis, angulis et figuris seu de fractionibus et reflexionibus radiorum: “All causes of natural effects have to be expressed by means of lines, angles and figures, for otherwise it would be impossible to have knowledge propter quid concerning them.”15 The same power produced a physical effect in an inanimate body and a sensation in an animate one. He established rules for the operation of powers: for example, the power was greater the shorter and straighter the line, the smaller the incident angle, the shorter the three-dimensional pyramid or cone; every agent multiplied its power spherically. Grosseteste discussed the laws of reflection and refraction (evidently taken from Ptolemy) and their causes, and went on in De natura locorum to use Ptolemy’s rules and construction with plane surfaces to explain refraction by a spherical burning glass. “Hence,” he resumed, “these rules and principles and fundamentals having been given by the power of geometry, the careful observer of natural things can give the causes of all natural effects by this method.” This was clear “first innatural action upon matter and later upon the senses…”16
An example of the analysis of a power’s producing sensation is provided by Grosseteste’s De colore. The resolutio identified the constituent principles: color was light incorporated by a transparent medium; transparent mediums varied in degree of purity from earthy matter; light varied in brightness and in the multitude of its rays. In the compositio he asserted that the sixteen colors ranging from white (bright light, multitudinous rays, in a pure medium) to black were produced by the “intension and remission” of these three variable principles. “That the essence of color and a multitude of the same behaves in the said way,” he concluded, “is manifest not only by reason but also by experiment, to those who know the principles of natural science and of optics deeply and inwardly.... They can show every kind of color they wish to visibly, by art [per artificium ].”17
The last of these four essays, De iride seu de iride et speculo, is the most complete example of Grosseteste’s method and his most important contribution to optics. The resolutio proceeds through a summary of the principle of subordination and its relation to demonstration propter quid into a discussion of the division of optics into the science of direct visual rays, of reflected rays, and of refracted rays, in order to decide to which part the study of the rainbow belonged. It was subordinate to the third part, “untouched and unknown among us until the present time";18 and it is his treatment of refraction that has the greatest interest.
This part of optics [perspectiva ], when well understood, shows us how we may make things a very long distance off appear to be placed very close, and large near things appear very small, and how we may make small things placed at a distance appear as large as we want so that it is possible for us to read the smallest letters at an incredible distance, or to count sand, or grain, or seeds, or any sort of minute objects19
The reason, as he had learned from Euclid and Ptolemy, was “that the size, position and arrangement” according to which a thing is seen depends on the size of the angle through which it is seen and the position and arrangement of the rays, and that a thing is made invisible not by great distance, except by accident, but by the smallness of the angle of vision.” Hence “it is perfectly clear from geometrical reasons how, by means of a transparent medium of known size and shape placed at a known distance from the eye, a thing of known distance and known size and position will appear according to place, size and position20
Grosseteste followed this account of magnification and diminution by refracting mediums with an apparently original law of refraction, according to which the refracted ray, on entering a denser medium, bisected the angle between the projection of the incident ray and the perpendicular to the interface. “That the size of the angle in the refraction of a ray may be determined in this way,” he concluded, “is shown us by experiments similar to those by which we discovered that the reflection of a ray upon a mirror takes place at an angle equal to the angle of incidence.” 21
It was also evident from the principle that nature always acts in the best and shortest way. Grosseteste went on to use a construction of Ptolemy’s to show how to locate the refracted image, claiming again that this “is made clear to us by the same experiment and similar reasonings”22 as those used in a similar construction for locating the reflected image. The first of these references to experimental verification, since it would have been so inaccurate, may throw doubt on all such references by Grosseteste. As was true for the majority of medieval natural philosophers, most of these references came from books or from everyday experience. Clearly his interest was directed primarily toward theory. Yet he advocated and was guided by the principle of experiment and developed its logic.
Besides these works related to optics, Grosseteste wrote important treatises on astronomical subjects. In De sphaera, of uncertain date between perhaps 1215 and 1230, and De motu supercaelestium, possibly after 1230, he expounded elements of both Aristotelian and Ptolemaic theoretical astronomy. In a later work, De impressionibus aëris seu de prognosticatione, dating apparently from 1249, he discussed astrological influences and, again, his mature explanation of the tides. More original were Grosseteste’s four separate treatises on the calendar: Canon in kalenaatlilm and Compotus; correcting these, Compotus correctorius, probably between 1215 and 1219; and Compotus minor, with further corrections, in 1244. He showed that with the system long in use, according to which nineteen solar years were considered equal to 235 lunar months, in every 304 years the moon would be one day, six minutes, and forty seconds older than the calendar indicated. He pointed out in the Compotus correctorius (cap. 10) that by his time the moon was never full when the calendar said it should be and that this was especially obvious during an eclipse. The error in the reckoning of Easter came from the inaccuracy both of the year of 365.25 days and of the nineteen-year lunar cycle.
Grosseteste’s plan for reforming the calendar was threefold. First, he said that an accurate measure must be made of the length of the solar year. He knew of three estimates of this: that of Hipparchus and Ptolemy, accepted by the Latin computists; that of al-Battāni; and that of Thābit ibn Qurra. He discussed in detail the systems of adjustments that would have to be made in each case to make the solstice and equinox occur in the calendar at the times they were observed. Al-Battānī’s estimate, he said in the Compotus correctorius (cap. 1), “agrees best with what we find by observation on the advance of the solstice in our time.” The next stage of the reform was to calculate the relationship between this and the mean lunar month. For the new-moon tables of the Kalendarium, Grosseteste had used a multiple nineteen-year cycle of seventy-six years. In the Compotus correctorius he calculated the error this involved and proposed the novel idea of using a much more accurate cycle of thirty Arab lunar years, each of twelve equal months, the whole occupying 10,631 days. This was the shortest time in which the cycle of whole lunations came back to the start. Grosseteste gave a method of combining this Arab cycle with the Christian solar calendar and of calculating true lunations. The third stage of the reform was to use these results for an accurate reckoning of Easter. In the Compotus correctorius (cap. 10), he said that even without an accurate measure of the length of the solar year, the spring equinox, on which the date of Easter depended, could be discovered “by observation with instruments or from verified astronomical tables.”23
As with Grosseteste’s optics, it was Roger Bacon who first took up his work on the calendar; and Albertus Magnus first made serious use of his commentary on the Posterior Analytics, as did John Duns Scotus of that on the Physics. These attentions marked the beginning of a European reputation that continued into the early printing of his writings at Venice, the collecting of his scientific manuscripts by John Dee, and interest in them by Thomas Hobbes.24
NOTES
1. See D. A. Callus, ed., Robert Grosseteste.
2. Epistolae. H. R. Luard, ed., p. 44.
3. E.g.. Hexaëmeron, British Museum MS Royal 6.E.V (14 cent.), fols. 147v-15Ov; L. Baut, “Das Licht in der Naturphilosophie des Robert Grosseteste,” in Abhandlungen aus dem Gebiete der Philosophie und ihrer Geschichte. Eine Festgabe zum 70. Geburtstag Georg Freiherrn von Herding (Freiburg im Breisgau, 1913), pp. 41–55.
4. De libero arbitrio, caps. 8 and 10. in L. Baur, Die philosophischen Werke des Robert Grosseteste, pp. 179, 202.
5. Epistolae, pp. 360, 364. 389.
6. For the basic work on this question, see Baur, Die philosophischen Werke; and S. H, Thomon, The Writings of Robert Grosseteste —with the revisions by Callus, “The Oxford Career of Robert Grossetest,” Robert Grosseteste ; A. C. Crombie, Robert Grosseteste and the Origins of Experimental Science (1953, 1971); and R. C. Dales, “Robert Grosseteste’s Scientific Works,” Commentarius in viii libros.
7. From William of Alnwick, as first noticed by A. Pelzer. See Callus,”The Oxford Career of Robert Grosseteste,” pp. 45–47.
8. Giraldus Cambrensis, Opera, J. S. Brewer, ed., I (London, l861), 249.
9. See R. C. Dales, “The Authorship of the Questio de fluxu et refluxu maris Attributed to Robert Grosseteste,” in Speculum 37 (1962), 582–588.
10. See the ed. by Dales. Grosseteste wrote probably about 1230 a summary of Aristotle’s views in his Summa super octo libros physicorum Aristotelis.
11. Commenturius in viii libros physicorum Aristotelis. lib. I . Dales, ed., pp. 3–4.
12. Commentaria in libros posteriorum Aristotelis, I , 12 (1494), fols. 11r-12r.
13. Ibid., I, 8, fol. 8r.
14. Ibid., II, 4, fol. 29v.
15. De lineis, angulis et figuris, in Baur. Die philosophischen Werke, pp. 59–60.
16. De natura locorum, ibid., pp. 65–66.
17. De colore, ibid., pp. 78–79.
18. De iride, ibid., p. 73, See L. Baur. Die Philosophie des Robert Grosseteste, pp. 117–118; Crombie, Robert Grosseteste (1971), pp. 117–124.
19. De iride, in Baur, Die philosophischen Werke, p. 74.
20. Ibid., p. 75.
21. ibid., pp. 74–75.
22. Ibid., p. 75.
23. Compotus, R. Steele. ed., pp. .215, 259.
24. See Crombie, Robert Grosreteste (1971); A. Pacchi, “Ruggero Bacone e Roberto Grossetesta in un inedito hobbesiano del 1634,” in Rivista critica di storia della filosofia, 20 (1965), 499–502; and Convenzione eipotesi nella formazione della filosofia naturale di Thomas Hobbes.(Florence. 1965).
BIBLIOGRAPHY
I. Original Works. The earliest-dated printed ed. of a work by Grosseteste is Commentaria in libros posteriorum Aristotelis (Venice, 1494; 8th ed., 1552). It was followed by his Summa super octo libros physicorum Aristotelis (Venice, 1498; 9th ed., 1637); Libellus de phisicis lineis angulis et figuris per quas omnes actiones naturals complentur (Nuremburg, 1503); De sphaera, pub. as Sphaerae compendium (Venice, 1508; 5th ed., 1531); and Compotus correctorius (Venice, 1518). His Opuscula (Venice, 1514; London, 1690) includes De artibus liberalibus, De generatione sonorum, De calore solis, De generatione stellarum, De colore, De impressionibus elementorum, De motu corporali, De finitate motus et temporis (appearing first as the concluding section of his commentary on the Physics), De lineis, angulis et figuris, De natura locorum, De luce, De motu supercaelestium, and De differentiis localibus. All these essays, with De sphaera and the hither to unprinted De cometis, De impressionibus aëris and De iride, were published by L. Baur in Die philosophischen Werke des Robert Grosseteste (see below). For further modern texts see Canon in Kalendarium, ed. by A. Lindhagen as “Die Neumondtafel des Robertus Lincolniensis,” in Archiv för matematik, astronomi och fysik (Uppsala), 11 , no.2 (1916); Compotus, factus ad correctionem communis kalendarii nostri, R. Steele, ed., in Roger Bacon, Opera hactenus inedita, VI (Oxford, 1926), 212 ff.; S.H. Thomson, “The Text of Grosseteste’s Questio de calore, de cometis and De operacionibussolis,” in Medievalia et humanistica, 11 (1957), 34–43; Commentarius in viii libros physicorum Aristotelis…, R.C Dales, ed. (Boulder, Colo., 1963); and R. C. Dales, “The Text of Robert Grosseteste’s Questio de fluxu et reflux maris with an English Translation,” in Isis, 57 (1966), 455–474. See also Roberti Grosseteste episcopi quondam Lincolniensis epistolae, H.R. Luard, ed. (London, 1861).
II. Secondary Literature. For the fundamental work of identifying and listing Grosseteste’s writings see L. Baur, Die philosophischen Werke des Robert Grosseteste, Bishop von Lincoln, vol. IX of Beiträge zur Geschichte der Philosophie des Mittelalters (Münster, 1912): and S.H. Thomson. The Writings of Robert Grosseteste Bishop of Lincoln 1235–1253 (Cambridge, 1940). For further discussions of his scientific writings with references to additional items, see D. A. Callus, “The Oxford Career of Robert Grosseteste,” in Oxoniensia, 10 (1945), 42–72; D. A. Callus, ed., Robert Grosseteste, Scholar and Bishop (Oxford, 1955); A. C. Crombie, Robert Grosseteste’s Scientific Works,” in Isis 52 (1961), 381–402. The basic modern biography is still F.S. Stevenson, Robert Grosseteste, judiciously sums up more recent scholarship. The pioneering account of his scientific thought is L. Baur, Die Philosophie des Robert Grosseteste, Bischofsvon Lincoin, XVIII, nos. 4–6 of Beiträge zur Geschichte der Philosophie des Mittelaters (Münster, 1917
A. C. Crombie
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Naturalistic Fallacy
Encyclopedia entry from: Encyclopedia of Science and Religion
Naturalistic Fallacy The relation between is/ought, fact...touch on the notion of the naturalistic fallacy. In general terms, this notion is an...attempt means committing the naturalistic fallacy. Historically, David Hume (1711...
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Ecological Fallacy
Encyclopedia entry from: Encyclopedia of Public Health
ECOLOGICAL FALLACY The ecological fallacy is the logical fallacy of interpreting general data too particularly or minutely. An example would be projecting to the level of individuals the generalizations that apply to a population. This fallacy...
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Vocational School Fallacy
Encyclopedia entry from: Encyclopedia of Education
VOCATIONAL SCHOOL FALLACY Few articles in the field of international...Philip Foster's "The Vocational School Fallacy in Development Planning" (1965...core argument of the vocational school fallacy, according to Foster, is that "the...
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fallacy
Book article from: The Columbia Encyclopedia, Sixth Edition
fallacy in logic, a term used to characterize...break one (see syllogism ). The term fallacy has come to be used in a somewhat wider sense than the purely formal one. Informal fallacies are said to occur when statements are...
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