This answer to Reviel Netz's article at first questions his optimism concerning our technological future. After that, it suggests a different role for Archimedes and the other prominent Greek mathematicians than the one claimed by Netz: as providers not of answers but of problems which called for the transformation of the abbacus and cossist algebra tradition, thereby allowing first Viète and then Descartes to create the first level of the new analysis of the seventeenth century (the second level being infinitesimal analysis).
AdamCharles, and TanneryPaul, eds. 1902. Oeuvres de Descartes. Vol. VI. Discours de la méthode & Essais . Paris: Léopold Cerf.
2.
AdamCharles, and TanneryPaul, eds. 1908. Oeuvres de Descartes. Vol. X. Physico-mathematica. Compendium musicae. Regulae ad directionem ingenii. Recherche de la vérité. Supplément à la correspondance . Paris: Léopold Cerf.
3.
BiagioliMario.1989. “The Social Status of Italian Mathematicians, 1450–1600. ” History of Science 27: 41–95.
4.
BoncompagniBaldassare, ed. 1862.
Scritti di Leonardo Pisano matematico del secolo decimoterzo. Vol. II. Practica geometriae ed Opusculi . Roma: Tipografia delle Scienze Matematiche e Fisiche.
5.
BusardHubert L. L.1975. “
Roomen, Adriaan van. ” In Dictionary of Scientific Biography , Vol.
XI. 532–534. New York: Scribner.
6.
CardanoGirolamo.1545. Artis magnae sive de regulis algebraicis, liber unus . Petreius: Nürnberg.
7.
CardanoGirolamo.1570. De aliza regula, libellus . Henricpetrina: Basel.
FranciRaffaella.1984. “Numeri congruo-congruenti in codici dei secoli XIV e XV. ” Bollettino di Storia delle Scienze Matematiche 4: 3–23.
10.
GiustiEnrico, ed. 2020. Leonardi Bigolli Pisano vulgo Fibonacci Liber Abbaci . Firenze: Leo S. Olschki.
11.
GraggFlorence Alden, ed. 1927. Latin Writings of the Italian Humanists; Selections . New York: Scribner.
12.
HofmannJoseph Ehrenfried, ed., trans. 1952. Nikolaus von Cues. Die mathematischen Schriften . Hamburg: Felix Meiner.
13.
HøyrupJens.2007. Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture . Basel: Birkhäuser.
14.
HøyrupJens.2011. “
A Diluted al-Karajī in Abbacus Mathematics. ” In Actes du 10ième Colloque Maghrébin sur l'Histoire des Mathématiques Arabes (Tunis, 29–30–31 mai 2010) , 187–197. Tunis: Publications de l'Association Tunisienne des Sciences Mathématiques.
15.
HøyrupJens.2017. “Archimedes – Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance. ” Gaṇita Bhāratī 39: 1–22.
16.
HøyrupJens.2019. Selected Essays on Pre- and Early Modern Mathematical Practice . Cham: Springer.
17.
HøyrupJens.2020. “Fifteenth-century Italian Symbolic Algebraic Calculation with Four and Five Unknowns. ” Gaṇita Bhāratī 42: 55–86.
18.
HøyrupJens.2021. “
Advanced Arithmetic from Twelfth-Century Al-Andalus, Surviving Only (and Anonymously) in Latin Translation? A Narrative That Was Never Told. ” In Premodern Translation: Comparative Approaches to Cross-Cultural Transformations , edited by BrentjesSonja and FidoraAlexander, 33–61. Turnhout: Brepols.
19.
JardineNicholas.1988. “
Epistemology of the Sciences. ” In Cambridge History of Renaissance Philosophy , 695–711. Cambridge, MA: Cambridge University Press.
20.
KeplerJohannes.1609. Astronomia nova αιτιoλoγητoς seu physica coelestis, tradita commentariis de motibus stellae Martis, ex observationibus G.V. Tychonis Brahe . Heidelberg: Vögelin.
21.
MartzloffJean-Claude.2006. A History of Chinese Mathematics . Corrected Second Printing.
Berlin: Springer.
22.
MolandLouis, ed. 1878. Œuvres complètes de Voltaire , Vol.
XVIII. Paris: Garnier.
23.
NauenbergM.2010. “The Early Application of the Calculus to the Inverse Square Force Problem. ” Archive for History of Exact Sciences 64: 269–300.
24.
NetzReviel.2002. “Counter Culture: Towards a History of Greek Numeracy. ” History of Science 40: 321–352.
25.
NewtonIsaac.1687. Philosophiae naturalis principia mathematica . London: Royal Society.
26.
SasakiChikara.2003. Descartes's Mathematical Thought . Dordrecht: Kluwer.
27.
SfortunatiGiovanni.1534. Nuovo lume: Libro de arithmetica . Venezia: Nicolo de Aristotile detto Zoppino.
28.
SiglerLaurence E., ed., trans. 1987. Leonardo Pisano Fibonacci, The Book of Squares . Boston, MA: Academic Press.