Abstract
In this chapter, I review the argument of “The Sha** of Deduction in Greek Mathematics,” explaining its elements that may be construed as “semiological,” comparing them with other work I did in the semiology of mathematics, and conclude by pointing out the scope, and limits, of semiological explanation in the history of mathematics.
This is a preview of subscription content, log in via an institution to check access.
References
Carman CC (2018) Accounting for Overspecification and indifference to visual accuracy in manuscript diagrams: a tentative explanation based on transmission. Hist Math:217–236
Cribiore R (2001) Gymnastics of the mind: Greek education in Hellenistic and Roman Egypt. Princeton University Press, Princeton
Johnson WA (2000) Toward a sociology of Reading in classical antiquity. Am J Philol:593–627
Johnson WA (2010) Readers and reading culture in the high Roman empire: a study of elite communities. Oxford University Press, Oxford
Latour B (2008) Review essay: the Netz-works of Greek deductions. Soc Stud Sci 38:441–459
Manders, K. 2008 [circulated 1995]. The Euclidean diagram, in P. Mancosu (ed.), The philosophy of mathematical practice: 80–133. Oxford University Press: Oxford
Netz R (1999) The sha** of deduction in Greek mathematics: a study in cognitive history. Cambridge University Press, Cambridge
Netz R (1999b) Proclus’ division of the mathematical proposition into parts: how and why was it formulated? Class Q:282–303
Netz R (2002) Counter culture: towards a history of Greek numeracy. Hist Sci:321–352
Netz R (2004) The transformation of mathematics in the early Mediterranean world: from problems to equations. Cambridge University Press, Cambridge
Netz, R. 2004b. Archimedes: translation and commentary, volume I: the two books on sphere and cylinder. Cambridge University Press: Cambridge
Netz R (2009) Ludic proof: Greek mathematics and the Alexandrian aesthetic. Cambridge University Press, Cambridge
Netz R (2012) Reasoning and symbolism in Diophantus: Preliminary observations. In: Chemla K (ed) The history of mathematical proof in ancient traditions. Cambridge University Press, Cambridge, pp 327–361
Netz R (2012b) The texture of Archimedes’ writings: through Heiberg’s veil. In: Chemla K (ed) The history of mathematical proof in ancient traditions. Cambridge University Press, Cambridge, pp 163–205
Netz R (2017) Archimedes: translation and commentary, Spiral Lines, vol II. Cambridge
Netz R (2020) Scale, space and canon in ancient literary culture. Cambridge University Press. Cambridge
Netz R (2022) A new history of Greek Mathematics. Cambridge
Poincaré (1912 [1963]) Mathematics and science: last essays. Dover, New York
Saito K, Sidoli N (2012) Diagrams and arguments in ancient Greek mathematics: lessons drawn from comparisons of the manuscript diagrams with those in modern critical editions. In: Chemla K (ed) The history of mathematical proof in ancient traditions. Cambridge University Press, Cambridge, pp 135–162
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2024 Springer Nature Switzerland AG
About this entry
Cite this entry
Netz, R. (2024). Sha**, Revisited. In: Sriraman, B. (eds) Handbook of the History and Philosophy of Mathematical Practice. Springer, Cham. https://doi.org/10.1007/978-3-031-40846-5_63
Download citation
DOI: https://doi.org/10.1007/978-3-031-40846-5_63
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-40845-8
Online ISBN: 978-3-031-40846-5
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering