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Albertus Magnus' View on the Angle with Special Emphasis on His Geometry and Metaphysics

Albertus Magnus' View on the Angle with Special Emphasis on His Geometry and Metaphysics 35 Albertus Magnus' View on the Angle with Special Emphasis on His Geometry and Metaphysics * PAUL M. J. E. TUMMERS Albertus Magnus is not famous for his special interests in mathematics and his philosophical views concerning this subject are commonly considered to be Aristotelian.' 1 He opposes, e.g. in his Metaphysics as well as in other works, the so-called error Platonis: the view that mathematics is concerned with a reality which unerlies and is the principle of physical reality.2 Nevertheless, Albert did write some mathematical works;3 as regards geometry, a commentary on Euclid's Elements of Geometry4 can be mentioned, as can the tract on in- divisible lines', inserted in his Physics.5 Moreover, in the Aristotelian paraphrases, he sometimes elaborates on the geometrical examples given by Aristotle; he indicates explicitly the corresponding theorems of Euclid, and inserts geometrical items which are not found in Aristo- tle's text. 6 One example of these geometrical items is a digression which Albert gives in the chapter on quantity in his Metaphysics: there, he discusses * A first draft of this paper was read at the 'Table Ronde de C.N.R.S. pour le sep- ti?me centenaire d'Albert le Grand', Institut catholique, Paris, 16-18 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Vivarium Brill

Albertus Magnus' View on the Angle with Special Emphasis on His Geometry and Metaphysics

Tummers, Paul M.J.E.
Vivarium , Volume 22 (1): 35 – Jan 1, 1984
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Publisher
Brill
Copyright
© 1984 Koninklijke Brill NV, Leiden, The Netherlands
ISSN
0042-7543
eISSN
1568-5349
DOI
10.1163/156853484X00024
Publisher site
See Article on Publisher Site

Abstract

35 Albertus Magnus' View on the Angle with Special Emphasis on His Geometry and Metaphysics * PAUL M. J. E. TUMMERS Albertus Magnus is not famous for his special interests in mathematics and his philosophical views concerning this subject are commonly considered to be Aristotelian.' 1 He opposes, e.g. in his Metaphysics as well as in other works, the so-called error Platonis: the view that mathematics is concerned with a reality which unerlies and is the principle of physical reality.2 Nevertheless, Albert did write some mathematical works;3 as regards geometry, a commentary on Euclid's Elements of Geometry4 can be mentioned, as can the tract on in- divisible lines', inserted in his Physics.5 Moreover, in the Aristotelian paraphrases, he sometimes elaborates on the geometrical examples given by Aristotle; he indicates explicitly the corresponding theorems of Euclid, and inserts geometrical items which are not found in Aristo- tle's text. 6 One example of these geometrical items is a digression which Albert gives in the chapter on quantity in his Metaphysics: there, he discusses * A first draft of this paper was read at the 'Table Ronde de C.N.R.S. pour le sep- ti?me centenaire d'Albert le Grand', Institut catholique, Paris, 16-18

Journal

Vivarium – Brill

Published: Jan 1, 1984

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