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    «Quaestio», 15 (2015), 447-456 • 10.1484/J.QUAESTIO.5.108619

    Roger Bacon and Albert the Great are two important early adopters of Aristot-

    le’s Posterior Analytics, eager to put the resources of the new science to work.

    However , their accounts of the sciences are different even though in important

    ways inspired by some of the same sources. Their differences lay out many of

    the basic questions about Aristotelian science that will continue to be discussed

    throughout the 13th and 14th centuries.

    Roger Bacon takes up Aristotelian demonstrative science, contrasting it with

    the older and more traditional notion of knowledge. His goal is to replace the

    traditional canon and methods of the liberal arts with science and push back

    against the canon lawyers and theologians at Paris who instigated the bans on

    Aristotle and scientific works, particularly Arabic astronomy/astrology. Bacon’s

    enthusiasm for demonstrative argument brings him to advocate a complete re-

    structuring of the curriculum, placing mathematics at the center as the most

    certain, most accessible, and most important of the disciplines. For example,

    Bacon claims that the disciplines of grammar and logic depend on mathematics

    – through the mediation of music and its explanation of rhythm, meter, and ac-

    cent – all required to achieve its end: persuasive arguments with the “maximum

    amount of beauty”. Logic also needs mathematics for its “middle and heart”: the

    art of demonstration, for only in mathematics is there “true and forceful demon-

    stration”. Thus, the way to “arrive at certainty without doubt and truth without

    error” is to ground all the other sciences in mathematics1.

    Bacon ultimately puts mathematics at the center of physics by appealing to

    the properties of light, studied in terms of the geometry of refraction and reflec-

    tion. However, while Grosseteste (Bacon’s mentor) understood the role of math-

    ematics and light in largely Neoplatonic metaphysical terms, Bacon thinks of

    light and the use of mathematics in terms of physical causality. Light’s equivocal

    action produces diverse effects: light causing heat, heat causing putrefaction and

    1 ROGER BACON, Opus maius, IV, Dist. 1, c. 1, ed. Bridges, vol. 1, pp. 97-98.

    Eileen C. Sweeney

    Roger Bacon and Albert the Greaton Aristotle’s Notion of Science

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    putrefaction, death. We can know earthly/physical things only through mathe-

    matics because celestial bodies are their causes, and these bodies are known via

    mathematics, Bacon argues2.

    In addition to demonstrative syllogistic form, science is characterized by“experimentum” for Bacon. Though it is not clear whether Bacon means empeiria 

    in Aristotle’s sense or something closer to the modern notion of controlled ex-

    periment, its role in producing scientia is different for Bacon than for Aristotle3.

    While Aristotle describes the path of the discovery of the principles of science

    by induction from experience, Bacon notes that knowledge of conclusions as well

    as principles requires experimentum4. Even for conclusions drawn via valid ar-

    guments by reasoning, the removal of doubt requires confirmation of conclusions

    by experiment5. Only thus can trickery and magic be distinguished from art and

    nature, Bacon maintains6.Bacon also argues that there are crucial ties between mathematics and exper-

    imentum. “Quantity is especially a matter of sense perception,” Bacon argues,

    because it is a common sensible and “nothing is perceived without quantity”.

    The act of understanding is only completed with reference to continuous quantity

    and time7. Moreover, mathematical knowledge can be certain and without error

    because it has examples perceived by the senses from which to proceed and to

    which to make confirming reference. By contrast, the proper causes of natural

    things are generated and corrupted. Nor it is possible in metaphysics, because

    there is no demonstration of incorporeal things except indirectly through ef -fects8. In the Perspectiva Bacon also associates sense perception through vision

    with experimentum and thus with mathematics through optics. Optics is a math-

    ematically based science that grounds the sense evidence of vision, resulting not

    in belief but experience9.

    In the Opus maius Bacon’s criticism of the traditional teaching of the dis-

    ciplines is a broadside against the path of reading and reliance on authority

    that grounds the traditional study of liberal arts and scripture. Bacon lists four

    causes of error: submission to faulty authority, the influence of custom, popular

    prejudice, and the desire to conceal ignorance and appear wise. In order to avoid

    2 ROGER BACON, Opus maius, IV, Dist. 1, c. 2, ed. Bridges, vol. 1, pp. 102-103.3 See HACKETT 1997, pp. 279-284.4 ARIST., Analytica Posteriora, II, 19, 100a1-14; BACON, Opus maius, VI, c. 2, ed. Bridges, vol. 2, pp.

    172-173.5 On the need for experience, see BACON, Opus maius, VI, c. 1, ed. Bridges, vol. 2, p. 167. Cf. HACKETT 

    1997, p. 291; THORNDIKE 1929, p. 666, and MOLLAND 1993, pp. 140-160.6 BACON, Opus maius VI, cc. 2 & 12, ed. Bridges, vol. 2, pp. 172, 221.7 See ARIST., Analytica Posteriora, I, 18, 81a37-40 and De memoria, 1, 450a1-10. BACON, Opus maius,

    IV, Dist. 1, c. 3, ed. Bridges, vol. 1, p. 107.8 BACON, Opus maius, IV, Dist. 1, c. 3, ed. Bridges, vol. 1, pp. 107-108.9 BACON, Perspectiva, I, 1, 1, ed. Lindberg, p. 4.

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      Roger Bacon and Albert the Great on Aristotle’s Notion of Science  449

    these errors and find the true authorities, we must “freely hear what is contrary

    to vulgar convention”10. In the spirit of experiment, one must oppose common

    opinion, cultivating skepticism. Truth is usually on the side of what is unpopular,

    Bacon warns, and a certain contrariness is the way to avoid error. It is hard notto hear in these criticisms of authority, tradition, and common sense the tones

    of that other and much later Bacon, Francis, and his critique of the “idols of the

    mind”11. Nonetheless, the 13th century Bacon is less opposed to tradition than he

    seems, aligning his move to defend Aristotelian and Arabic science with initially

    rejected but ultimately revered authorities, such as Jerome and even Moses and

    Jesus; thus Bacon’s goal is the extension not the extinction of the tradition but

    in a way that places mathematics and experimental science at the center of all

    science, including theology12.

    Albert the Great articulated a different way of reorganizing the disciplinesaround the model of Aristotelian science and highlighting experiment than Ba-

    con. Albert’s rejection of the mathematical physics so favored by Bacon is one of

    the most well known of his views. In his Commentary on the Metaphysics he argues

    against Plato’s view that the principles of natural things are founded in mathe-

    matics, and the principles of mathematics in metaphysics13. Mathematics and

    natural science emerge co-equally from metaphysics, he argues. Further, Albert

    argues that dimension is not a principle of body as body but rather a consequence

    of being a body, while matter is subject of motion and time  per se14. On these

    grounds, Albert rejects any wholesale application of mathematical categories tonatural objects and phenomenon as the constitutive method of physics. This may

    be partly because, as Molland argues, Albert is more conceptualist than realist on

    mathematics15. Albert maintains that the abstraction of mathematics is the prod-

    uct of the imagination, which “compos[es] figures and angles” rather than finds

    those qualities inherent in the objects. Hence, Albert often focuses on the gap

    between mathematics and the natural world, for example, pointing out that it is

    only mathematical spheres not material ones that a line touches only at a point16.

    Albert’s Commentary on the Physics begins with a distinction between the

    path of knowing in physics versus the other sciences. Physics begins with thesenses and thus begins with the confused universal and works its way toward

    more distinct knowledge, Albert comments. Moving from that which is more sim-

    ple and indistinct to what is more distinct and composite is the via compositionis;

    10 BACON, Opus maius, I, c. 8, ed. Bridges, vol. 1, p. 17.11 F. BACON, Novum Organon, Bk. I, aphorisms 38-68, ed. Rees / Wakely, pp. 79-108.12 BACON, Opus maius, I, c. 9, ed. Bridges, vol. 1, pp. 19-20.13 ALBERTUS MAGNUS, Metaphysica, I, tr.1, c. 1, ed. Geyer, p. 2.14 ALBERTUS MAGNUS, Metaphysica, I, tr.1, c. 1, ed. Geyer, p. 2.15 MOLLAND 1980, p. 467.16 MOLLAND 1980, pp. 468-470.

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    450  Eileen C. Sweeney

    it is proper to natural science but not to the other sciences. In metaphysics and

    mathematics, the opposite path of resolution is followed, from the particular to

    the universal17. Thus Albert draws a sharp line between physics and its depend-

    ence of sensation and the other sciences of metaphysics and mathematics.In a number of passages, Albert expresses a Platonic or Neoplatonic account

    of the hierarchy of the sciences in terms of which some sciences are more certain:

    a science’s conclusions are more necessary and certain to the degree to which its

    subject is separated from matter. Albert does not, as those who want to see him

    strictly as an Aristotelian claim, completely give up the idea that mathematics is

    superior to physics because of its greater distance from the vagaries of material

    things. He notes that things are closer to wisdom the more they recede from sen-

    sation and he praises mathematics as separated from sense and the necessities

    of life18. Albert defines wisdom as that which is difficult to know; things aredifficult to know either through their imperfection (physics) or their perfection

    (metaphysics), but mathematics is accessible in ways the objects of physics and

    metaphysics are not19. Mathematics is the most liberal of the sciences because

    it is proportioned to our intellects and is not a subject to the variety of opinion,

    but not physics (because of greater error and diverse opinions) nor divine science

    (because it is beyond our intellects)20.

    It might seem hard to square this skepticism about the ability to know ma-

    terial things on their own terms with Albert’s well-known interest in empirical

    data21. Albert’s commentaries on Aristotle’s works of natural philosophy includeinsertions of alphabetical lists of types of stones, herbs, and animals, along with

    their descriptions, properties and possible uses or virtues. Beyond the perfect-

    ly clear Aristotelian justification for including such particular data – that the

    process of induction requires particulars from which we can abstract the uni-

    versal, Albert adds that knowledge of things in matter and time is mixed with

    opinion and not confirmed science22. Hence, he argues, we are more in need of

    experience/experiments in regard to them than mathematical or metaphysical

    objects23. We need to test/experience those things that are less certain more often

    17 ALBERTUS MAGNUS,  Physica, I, tr. 1, c. 6, ed. Hossfeld, p. 12, ll. 53-66. Cf. ALBERTUS MAGNUS, Metaphysica, I, tr. 1, c. 7, ed. Geyer, p. 10, ll. 35-51.

    18 ALBERTUS MAGNUS, Metaphysica, I, tr. 1, c. 11, ed. Geyer, p. 16, ll. 67-94.19 ALBERTUS MAGNUS, Metaphysica, I, tr. 2, c. 1, ed. Geyer, p. 18, ll. 31-42.20 ALBERTUS MAGNUS, Metaphysica, I, tr. 2, c. 7, ed. Geyer, p. 24, ll. 38-67. Cf. ASHLEY 1980, p. 95.

    Ashley claims wrongly that Albert completely rejects the Platonist view that math is more a science thanphysics.

    21 ASÚA 2001, pp. 389-400.22 ARIST., Ethica Nicomachea, VI, 8, 1142a11.23 ALBERTUS MAGNUS, Metaphysica, I, tr. 1, c. 1, ed. Geyer, p. 1, ll. 24-27, 52-56. Cf. ASÚA 2001, p.

    399. See also KÖHLER 1996, pp. 161-177.

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      Roger Bacon and Albert the Great on Aristotle’s Notion of Science  451

    and more diligently24. In this way Albert’s Neoplatonism fits seamlessly with his

    experimentalism, and both fit into a picture which depicts the different sciences

    as having diverse methods and degrees of certainty, depending on their subject

    matter and relationship to human ways of knowing.Albert defines the subject of metaphysics as being qua being (rather than

    God), but he adds that ens is esse simpliciter, being as not contracted to this or

    that being but the “first effluxio of God,” the first created. This study, then, is

    of the principles that “give to all other things the fullness of their being.” It is

    called divine science because these principles are best and are “the perfection

    of the divine intellect within us”25. Thus Albert situates an Aristotelian view of

    the topic of metaphysics within a Neoplatonic frame. He adopts the Avicennian

    account of metaphysics, though modified such that God does not fall under the

    ens commune that is the subject of metaphysics; at the same time he links Ar-istotle’s Metaphysics with what he thinks is Aristotle’s theology in the  Liber de

    Causis. That which is first and highest is neither (strictly speaking) substance

    nor being, yet is considered within the study of being qua being26. Albert thus

    attempts to link as hierarchical steps and within the same discipline Aristotelian

    metaphysics as ontology with Neoplatonic metaphysics as natural theology27.

    The latter he construes as a kind of negative natural theology.

    Albert’s little treatise De intellectu et intelligibili makes this point in a par-

    ticularly clear fashion as it lays out the different lights by which the intellect is

    progressively perfected. While clearly operating from within the realm of reason(not revelation), Albert speaks of the “holy intellect” and some kind of vision

    of the divine. He describes the knowledge of metaphysics as knowledge only

    available to those able to understand without reference to sensible examples28.

    Its study of divine things repels and defeats our intellect by its light, while math

    is proportioned to our intellect, and physics, because of the privation of matter

    and motion, falls below intelligibility29. Thus, Albert not only thinks of sacred or

    revealed theology as being informed by a different light than the other sciences

    but holds that there are gradations and different lights and starting points for all

    the different sciences30.This is also clear from the discussion of theology as a science in the Summa.

    24 ALBERTUS MAGNUS, Metaphysica, I, tr. 1, c. 8, ed. Geyer, pp. 11-12.25 ALBERTUS MAGNUS, Metaphysica, I, tr. 1, c. 1, ed. Geyer, p. 3.26 ALBERTUS MAGNUS, De causis et processu universitatis a causa prima, I, tr. 3, c. 6, ed. Kübel, p. 41,

    ll. 38-43.27 Cf. NOONE 2005, pp. 691-704.28 ALBERTUS MAGNUS,  De intellectu et intelligibili, ed. Borgnet, 501b. The ones who can learn without

    sensible reference, Albert notes, are described as having “intellectus sanctus sive mundus” by Avicenna,and “divine intellect” by Aristotle.

    29 ALBERTUS MAGNUS,  De intellectu et intelligibili, ed. Borgnet, 500a.30 Cf. FÜHRER 2001, p. 151.

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    Albert distinguishes between theology and the other sciences in terms that are

    much the same as those used to distinguish metaphysics from the other sciences.

    He argues that the sciences concerned with creatures have unchanging rationes 

    which reside in changing creatures. Theology, by contrast, is founded in eternalreasons in eternal things, and in this sense is the only science in the strictest

    sense31. Albert consistently defends the scientific character of theology by not-

    ing the higher source/higher light from which its knowledge comes. Knowledge

    of things through that which is prior, unchangeable, and known by inspiration

    is more truly knowledge or science, and theology is most truly science, science

    of the highest things, which are, as Aristotle said, the most difficult for human

    beings to know32. Here Albert explicitly takes over Aristotle’s description of

    metaphysics and applies it to revealed theology. As he replies to objections,

    Albert notes, as he did in De intellectu, that the human intellect is perfected bydiverse lights; the light for metaphysics is distinct from the superior sources of

    knowledge of the Trinity, Incarnation and resurrection33.

    In Albert’s Summa, the opening six questions on the nature of the subject be-

    ing explored, the discipline is named theologia, not sacra doctrina nor any other

    name drawing attention to its different source in scripture. Albert thus chooses

    to use the term theologia which can mean either the philosophical study of the

    divine and highest immaterial beings or the study of God through scripture. So,

    too, he describes theologia  in terms of the higher intelligibility of its objects

    and higher illumination needed to see those objects – the same terms used todescribe the theologia of the philosophers.

    When he turns from whether theology is a science to its definition, he pivots

    clearly to the different source and end of revealed theology, giving it a different

    set of tasks and tactics. Through the whole discussion of the nature of theology,

    Albert works hard to retain the traditional ways of describing the topic of theol-

    ogy, including a series of questions on frui and uti, and discussion of tradition-

    al definitions of theology as concerned with res et signa, Christus et ecclesia34. 

    Albert also defends the use of poetic language in theology forcefully, beginning

    from the feature theology shares with metaphysics – that, as Aristotle says, oureyes confronted with the highest things are like those of bats looking toward

    the sun35. Thus the use of persuasive and literary techniques for those things

    that are beyond our intellect is not exclusive to theology. Albert notes that the

    principles of metaphysics cannot be demonstrated or taught but that one must

    31 ALBERTUS MAGNUS, Summa theologiae, Prol., ed. Siedler et al., p. 2, l. 16 sqq.32 ALBERTUS MAGNUS, Summa theologiae, I-I, tr. 1, q. 1, ed. Siedler, p. 6, ll. 52-56.33 ALBERTUS MAGNUS, Summa theologiae, I-I, tr. 1, q. 1, ad 2, ed. Siedler, p. 7, ll. 34-42.34 ALBERTUS MAGNUS, Summa theologiae, I-I, tr. 2, qq. 7-12 et tr. 1, q. 3, c. 2, ed. Siedler.35 ALBERTUS MAGNUS, Summa theologiae, I-I, tr. 1, q. 5, c. 1, ed. Siedler, pp. 16-17.

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      Roger Bacon and Albert the Great on Aristotle’s Notion of Science  453

    be persuaded to their truth; thus, a broader use of language and tactics than pure

    demonstration is required for basic principles36.

    In defending the four modes of sacred scripture, Albert develops a long list

    of different tasks for theology. It can operate either by force or instruction; if byforce (either disposing or compelling men to virtue), it can use admonition or

    exhortation or command. If it operates by instruction, then it must either appeal

    to the intellect or senses. It can address the intellect through hymns or prayer,

    or prophecy or apocalyptic writings. If it is to appeal to the senses, then it can

    operate by comparison to things or similitudes, e.g. parable, or by examples37.

    Albert fits theology into his account of the different lights for the intellect

    such that it is just the highest part of a strongly differentiated hierarchy; thus

    he does not emphasize just the distinction between theology, operating on faith,

    and the other disciplines, grounded in reason, as Aquinas does. The breadth ofAlbert’s notion of the definition of theology as a science and its multiple modes

    is of a piece with his account of all the sciences as strongly differentiated from

    each other in method and path because of their different topics.

    Sometimes the differentiation and autonomy Albert grants the different

    sciences are taken as a sign of his adherence to a kind of ‘double truth’. This is

    urged because of Albert’s lack of reference to scripture in contexts where there

    might seem to be a conflict between philosophy and theology and/or on the basis

    of Albert’s retaining of the notion of metaphysics as a path to contemplation hav-

    ing unity with the divine intellect as its goal38. As De Libera points out, Albert“recognized the rationality of theology without folding theology back into natural

    reason, and the spirituality of philosophy, without involving philosophy in the

    irrational”39. What this means, however, is not that for Albert a ‘double truth’ is

    possible, a contradiction between the conclusions of philosophy (or science) and

    theology, but rather that Albert sees philosophy in general and metaphysics in

    particular as paths toward contemplation in their own right, not reducing them to

    tools of theology. But even though metaphysics can be part of the ascent toward

    the divine for Albert, it is still clear that for him, the ascent of the intellect is to

    a single final and complete truth/good in God.There might also be in Albert’s hierarchy of the sciences a response to the

    other common criticism of Albert: that he was just a compiler throwing together

    inconsistent bits from different thinkers rather than constructing his own co-

    herent vision. Behind Albert’s universal incorporation, there is a more broadly

    36 ALBERTUS MAGNUS, Metaphysica, I, tr. 2, c. 3, ed. Geyer, p. 20, ll. 40-49.37 ALBERTUS MAGNUS, Summa theologiae, I-I, tr. 1, q. 5, c. 4, ad 13, ed. Siedler, p. 22, ll. 71-86.38 HONNEFELDER 2005, p. 272.39 DE LIBERA 2005, p. 60. Cf. HONNEFELDER 2005, p. 263, who notes that for Albert, theology is a

    science based on things that are revealed but he retains the notion of theology as practical.

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    analogical sense of science that could range from encyclopedic lists of stones

    and plants, to Neoplatonic metaphysics, to the new as well as traditional modes

    of theology.

    Both Albert and Bacon are struggling to integrate Aristotle with Christianityand traditional arts, as well as with the new impetus outward toward the world

    manifested in Albert’s clear joy in the stuff of the world and Bacon’s barely con-

    tained mania to get to work in the world. They illustrate different ways in which

    the pleasures of knowledge are recognized and sought and reveal a rich diversity

    of responses to Aristotelian science in this first wave of Aristotelianism in the

    13th century.

    Bibliography

    Sources

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    ALBERTUS MAGNUS,  Metaphysica, ed. B. Geyer, Aschendorff, Münster 1960 (Albertus Mag-nus Opera Omnia, 16/1).

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    456  Eileen C. Sweeney

    Abstract: The paper examines the different uses of and responses to Aristotle’s account

    of science in the first wave of interpretation of Aristotle’s theory of science and works in

    natural science and metaphysics in the early 13th century in Roger Bacon and Albert the

    Great. The author argues that Bacon reduces all the disciplines to mathematics as the

    most scientific discipline, even as he argues that experimentum is at the center of scientific

    evidence and conclusions. Albert the Great, by contrast, gives a more strongly analogical

    account of science, with broader differences between different disciplines as operating

    according to different intellectual ‘lights’ and methods. Albert champions experimentum

    in physics in a special way, rejecting a mathematical physics.

    Key words: Roger Bacon; Albert the Great; Aristotle; Aristotelian Science; Demonstra-

    tion; Mathematics; Experiment; Experience; Physics / Natural Philosophy; Metaphysics;

    Theology.

    Eileen SWEENEYDepartment of Philosophy

    Boston College

    MA - 02467, Chestnut Hill

    [email protected]