Philosophical
| Abstract | Plato began it. After thinking about the nature of argument he concluded that the correct way of reasoning was the axiomatic way, and formulated the programme of axiomatization that Eudoxus and Euclid subsequently carried out. Since then the axiomatic method has been firmly established, not only as the method for mathematics, but as a paradigm to which all other disciplines should strive to be assimilated; and in this present century not only has axiomatization been carried through as completely as it can be, but the most determined efforts have been made to wish hypotheticodeductive schemata on to biology, economics, and even history. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,679 |
| External links |
  Try with proxy. |
| Through your library | Only published papers are available at libraries |
Similar books and articlesJaakko Hintikka (2011). What is the Axiomatic Method? Synthese 183 (1):69-85.
Nicholas Rescher (2013). Kant's Neoplatonism: Kant and Plato on Mathematical and Philosophical Method. Metaphilosophy 44 (1-2):69-78.
Carlo Cellucci (2005). Mathematical Discourse Vs. Mathematical Intuition. In Carlo Cellucci & Donald Gillies (eds.), Mathematical Reasoning and Heuristics, 137-165. College Publications.
András Máté (2006). Árpád Szabó and Imre Lakatos, or the Relation Between History and Philosophy of Mathematics. Perspectives on Science 14 (3):282-301.
Kai F. Wehmeier (1997). Aspekte der Frege–Hilbert-Korrespondenz. History and Philosophy of Logic 18 (4):201-209.
F. William Lawvere (2003). Foundations and Applications: Axiomatization and Education. Bulletin of Symbolic Logic 9 (2):213-224.
Bas C. Van Fraassen (1969). Conventionality in the Axiomatic Foundations of the Special Theory of Relativity. Philosophy of Science 36 (1):64 - 73.
Jaakko Hintikka (2011). Method of Analysis: A Paradigm of Mathematical Reasoning? History and Philosophy of Logic 33 (1):49 - 67.
Volker Peckhaus (1995). Hilberts Logik. Von der Axiomatik Zur Beweistheorie. NTM International Journal of History and Ethics of Natural Sciences, Technology and Medicine 3 (1):65-86.
Ian Mueller (1969). Euclid's Elements and the Axiomatic Method. British Journal for the Philosophy of Science 20 (4):289-309.
Analytics
Monthly downloads |
Added to index2010-12-22Total downloads6 ( #145,615 of 549,071 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
