Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 5
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Boger, George 2004. Greek, Indian and Arabic Logic.


    Jones, Matthew L. 2001. Writing and Sentiment: Blaise Pascal, the Vacuum, and the Pensées. Studies in History and Philosophy of Science Part A, Vol. 32, Issue. 1, p. 139.


    Boger, George 1998. Completion, reduction and analysis: three proof-theoretic processes in aristotle’sprior analytics. History and Philosophy of Logic, Vol. 19, Issue. 4, p. 187.


    STENIUS, Erik 1978. Foundations of Mathematics: Ancient Greek and Modern. dialectica, Vol. 32, Issue. 3-4, p. 255.


    Forbes, Eric G 1977. Descartes and the birth of analytic geometry. Historia Mathematica, Vol. 4, Issue. 2, p. 141.


    ×

Geometrical Method and Aristotle's Account of First Principles1

Abstract

The object of this paper is to show the predominance of the influence of geometrical ideas in Aristotle's account of first principles in the Posterior Analytics— to show that his analysis of first principles is in its essentials an analysis of the first principles of geometry as he conceived them. My proof of this falls into two parts. I. A consideration of the parallel between Aristotle's and Euclid's account of first principles. II. A comparison between the general movement of thought in the Aristotelian ⋯παγωγ⋯ and ⋯π⋯δειξις and in the δι⋯νοια and ν⋯ησις of the Platonic dialectic.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The Classical Quarterly
  • ISSN: 0009-8388
  • EISSN: 1471-6844
  • URL: /core/journals/classical-quarterly
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×