This paper argues for the viability of a different philosophical point of view concerning classical Greek geometry. It reviews Reviel Netz's interpretation of classical Greek geometry and offers a Deleuzian, post-structural alternative. Deleuze's notion of haptic vision is imported from its art history context to propose an analysis of Greek geometric practices that serves as counterpoint to their linear modular cognitive narration by Netz. Our interpretation highlights the relation between embodied practices, noisy material constraints, and operational codes. Furthermore, it sheds some new light on the distinctness and clarity of Greek mathematical conceptual divisions.
...MoreSimilar Citations
Article
Viktor Blåsjö;
(2022)
Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry
(/isis/citation/CBB877742567/)
Article
Raymond, Dwayne;
(2011)
From a Particular Diagram to a Universal Result: Euclid's Elements, Book I
(/isis/citation/CBB001250013/)
Article
Iwata, Naoya;
(2015)
Plato on Geometrical Hypothesis in the Meno
(/isis/citation/CBB001202190/)
Article
Ladislav Kvasz;
(2020)
Cognitive Unity of Thales’ Mathematics
(/isis/citation/CBB542780608/)
Article
Vincenzo De Risi;
(2021)
Euclid’s Common Notions and the Theory of Equivalence
(/isis/citation/CBB348431913/)
Thesis
Welsh, Whitney Elizabeth;
(2011)
Unthinkable: Mathematics and the Rise of the West
(/isis/citation/CBB001560636/)
Article
Netz, Reviel;
(2009)
Imagination and Layered Ontology in Greek Mathematics
(/isis/citation/CBB001031502/)
Article
Franklin, Lee;
(2012)
Inventing Intermediates: Mathematical Discourse and Its Objects in Republic VII
(/isis/citation/CBB001211017/)
Thesis
Lacey, Duane J.;
(2007)
Euclid's Taxonomy of Irrationals
(/isis/citation/CBB001560851/)
Article
Knorr, Wilbur R.;
(2001)
The Impact of Modern Mathematics on Ancient Mathematics
(/isis/citation/CBB000770904/)
Thesis
Arsen, Hera Sharon;
(2009)
Was Plato a Mathematical Platonist? An Inquiry into the Nature of the Intermediates, Their Effects on Plato's Metaphysics, and Plato's Resulting Mathematical Ontology
(/isis/citation/CBB001562854/)
Book
Archimedes, ;
(2004)
The Works of Archimedes: Translated into English Together with Eutocius' Commentaries, with Commentary and Critical Edition of the Diagrams, Vol. 1
(/isis/citation/CBB000640054/)
Article
Nikolantonakis, Konstantinos;
(2007)
The Treatise “On the Section of a Cylinder” of Serenus of Antinoeia and the Apollonian Tradition
(/isis/citation/CBB000933151/)
Article
Webster, Colin;
(2014)
Euclid's Optics and Geometrical Astronomy
(/isis/citation/CBB001451440/)
Thesis
La Nave, Federica;
(2005)
Belief Without Proof from Ancient Geometry to Renaissance Algebra
(/isis/citation/CBB001560809/)
Book
Apollonius, ;
(2002)
Apollonius's Conics Book IV
(/isis/citation/CBB000203100/)
Book
Euclid, ;
Taisbak, Christian Marinus;
(2003)
Dedomena---Euclid's Data, or, The Importance of Being Given
(/isis/citation/CBB000301663/)
Article
Duke, Dennis;
(2010)
Greek Angles from Babylonian Numbers
(/isis/citation/CBB001022001/)
Book
Tóth, Imre;
(2010)
Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles
(/isis/citation/CBB001420976/)
Thesis
Sidoli, Nathan;
(2004)
Ptolemy's Mathematical Approach: Applied Mathematics in the Second Century
(/isis/citation/CBB001561782/)
Be the first to comment!