Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Ritchie (1996)
In Three PartsPerforming Arts Journal, 18
(1964)
Review of TMS
R. Netz (1999)
The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History
O. Neugebauer (1935)
Mathematische Keilschrift-Texte
R. Sridharan (1996)
Non European roots of mathematicsResonance, 1
Jens Høyrup (1995)
Linee Larghe: Un’ ambiguità geometrica dimenticataBollettino Di Storia Delle Scienze Matematiche, 22
(2002)
Lengths, Widths, Surfaces: an Examination of Old Babylonian Algebra and Its Kin
Jens Høyrup (1990)
Algebra and Naive Geometry. An Investigation of Some Basic Aspects of Old Babylonian Mathematical Thought I, 17
Hubert Busard (1968)
L'algèbre au Moyen Âge : le « Liber mensurationum » d'Abû BekrJournal des sçavans, 2
W. Wians (1995)
Principles and Proofs: Aristotle’s Theory of Demonstrative ScienceAncient Philosophy, 15
D. Kapadia (1992)
The crest of the peacockThe Mathematical Gazette, 76
J. Høyrup (2001)
On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”Science in Context, 14
(1996)
Relations between Procedure and Demonstration. Measuring the Circle in the Nine Chapters on Mathematical Procedures and Their Commentary by Liu Hui (3rd Century)
K. Chemla, Shuchun Guo (2004)
Les neuf chapitres
Heron Alexandrinus, J. Heiberg (1976)
Heronis Alexandrini opera quae supersunt omnia. Vol IV: Heronis definitiones cum variis collectionibus. Heronis quae feruntur geometrica
J. Høyrup (1993)
The four sides and the area: oblique light on the prehistory of algebra
A. Hilliard, H. Diels, W. Kranz (1952)
Die Fragmente der VorsokratikerThe Journal of Philosophy, 49
E. Bruins, Marguerite Rutten, G. Contenau, R. Mecquenem (1961)
Textes mathématiques de Suse
(1897)
“ Un cadastre chaldéen ”
H. Eves (1984)
A History of Greek Mathematics (2 vols.). By Sir Thomas Heath
J. Høyrup (2000)
Alchemy and Mathematics: Technical knowledge subservient to ancient .....
(1999)
VAT. LAT. 4826: Jacopo da Firenze, Tractatus algorismi. Preliminary transcription of the manuscript, with occasional commentaries
J. Høyrup (1996)
The finer structure of the Old Babylonian mathematical corpus: Elements of classification, with some results
(1956)
Werke. 6 vols
J. Høyrup (1987)
Algebra and Naive Geometry. An Investigation of Some Basic Aspects of Old Babylonian Mathematical Thought IAltorientalische Forschungen, 17
J. Høyrup (1996)
Changing Trends in the Historiography of Mesopotamian Mathematics: An Insider's ViewHistory of Science, 34
A. Behboud (2002)
Pappus of Alexandria and the Mathematics of Late AntiquityIsis
(2000)
Rule of Three and Its Variations in India
M. Kline (1972)
Mathematical Thought from Ancient to Modern Times
(1997)
Hero, Ps.-Hero, and Near Eastern Practical Geometry. An Investigation of Metrica, Geometrica, and other Treatises
K. Chemla (1991)
Theoretical Aspects of the Chinese Algorithmic Tradition (First to Third Century)Historia scientiarum : international journal of the History of Science Society of Japan, 42
Nicholas Canny (2002)
The Ideological Origins of the British EmpireThe Journal of Modern History
(2000)
Use and Transmission of Iterative Approximations in India and the Islamic World
R. Sloley (1946)
Mathematical Cuneiform TextsNature, 157
T. Heath (1911)
Thirteen Books of Euclid's ElementsThe Mathematical Gazette, 6
J. Høyrup (1980)
Influences of institutionalized mathematics teaching on the development and organization of mathematical thought in the pre-modern period: investigations into an aspect of the anthropology of mathematics, 20
S. Gould (1955)
The Method of ArchimedesAmerican Mathematical Monthly, 62
(1975)
Iamblichos, In Nicomachi Introductionem Arithmeticam. 2Stuttgart: Teubner
O. Neugebauer, J. Stenzel, O. Toeplitz (1931)
Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik
H. Jahnke (1996)
History of mathematics and education : ideas and experiences
(1930)
Plato, The Republic. 2 vols
H. Diels, W. Kranz
Die Fragmente der Vorsokratiker, griechisch und deutschAmerican Journal of Philology, 24
K. Plofker (1996)
An Example of the Secant Method of Iterative Approximation in a Fifteenth-Century Sanskrit TextHistoria Mathematica, 23
Roberta Johnson, F. Thureau-Dangin (1940)
Textes Mathematiques Babyloniens.American Mathematical Monthly, 47
R. Taton (1964)
Bruins (E. M.) et Rutten (M.). Textes mathématiques de Suse (Mémoires de la Mission archéologique en Iran, t. XXXIV)Revue D'histoire Des Sciences, 17
A. Campbell, A. Lord (1961)
The Singer of TalesComparative Literature, 14
D'ARCY Thompson (1922)
A History of Greek MathematicsNature, 109
Ian Mueller (1981)
Philosophy of mathematics and deductive structure in Euclid's Elements
JENS HØYRUP TERTIUMNONDATUR: ON REASONINGSTYLES IN EARLY MATHEMATICS Arpad ´ ´ Szabo ´ ´ in memoriam 1.TWOCONVENIENT SCAPEGOATS Some philosophers of mathematics hold that real proof is quite recent and that, for instance, Euclid’s arguments for the correctness of his theorems and constructions do not count as “proofs” (those contributing to the present vol- ume are less dogmatic!). The rest of the world (in as far as it knows at all about the topic) sees things differently. Contemporary mathematicians may ﬁnd Euclid’s proofs insufﬁcient or shaky,but they agree with their prede- cessors that Euclid’s strings of arguments from the properties of theobjects involveddo constitute proofs. According to thisview, Greek theoretical ge- ometry isthus based on proofs. Does that mean that mathematical proof was inventedbythe ancient Greeks(and, by tacit but rampant corollary, that it is thus yet another “proof”of “Western” superiority)? Some writers on mathematics andits history have indeed claimed proof to beaGreekinvention (without necessarily deducing from that the corol- lary that “our” saturation of selected spots of the world with napalm, cluster bombsanddepleted uranium ismorally justiﬁed). In (1972, 3, 14), Morris Kline wrote the following lines: Mathematics as an organized, independent, and reasoned dis- cipline did not exist before
Published: Jan 1, 2005
Keywords: Double False Position
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.