Phronesis 65 (1):27-75 (2020)

Abstract
This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are ‘letter-labels’. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, and the ontological commitments underlying the stylistic practice.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1163/15685284-12342029
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,043
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Logische Untersuchungen.Edmund Husserl (ed.) - 1900 - Felix Meiner Verlag.
Collected Papers.Charles S. Peirce - 1931 - Cambridge: Belknap Press of Harvard University Press.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.

View all 59 references / Add more references

Citations of this work BETA

Euclid’s Kinds and (Their) Attributes.Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (2):362-397.

Add more citations

Similar books and articles

Proofs, Pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.
A Collection Of Mathematical Problems In Cod. Ups. Gr.8.Denis M. Searby - 2004 - Byzantinische Zeitschrift 96 (2):689-702.
Mathematical Rigor and Proof.Yacin Hamami - forthcoming - Review of Symbolic Logic:1-41.
Knowledge of Mathematics Without Proof.Alexander Paseau - 2015 - British Journal for the Philosophy of Science 66 (4):775-799.
Anacharsis in a Letter of Apollonius of Tyana.Robert J. Penella - 1988 - Classical Quarterly 38 (2):570-572.
Anacharsis in a Letter of Apollonius of Tyana.Robert J. Penella - 1988 - Classical Quarterly 38 (02):570-.

Analytics

Added to PP index
2019-10-31

Total views
14 ( #728,625 of 2,498,570 )

Recent downloads (6 months)
2 ( #282,166 of 2,498,570 )

How can I increase my downloads?

Downloads

My notes