Non-Classical Stems from Classical: N. A. Vasiliev’s Approach to Logic and his Reassessment of the Square of Opposition [Book Review]

Logica Universalis 2 (1):71-76 (2008)
  Copy   BIBTEX

Abstract

.  In the XIXth century there was a persistent opposition to Aristotelian logic. Nicolai A. Vasiliev (1880–1940) noted this opposition and stressed that the way for the novel – non-Aristotelian – logic was already paved. He made an attempt to construct non-Aristotelian logic (1910) within, so to speak, the form (but not in the spirit) of the Aristotelian paradigm (mode of reasoning). What reasons forced him to reassess the status of particular propositions and to replace the square of opposition by the triangle of opposition? What arguments did Vasiliev use for the introduction of new classes of propositions and statement of existence of various levels in logic? What was the meaning and role of the “method of Lobachevsky” which was implemented in construction of imaginary logic? Why did psychologism in the case of Vasiliev happen to be an important factor in the composition of the new ‘imaginary’ logic, as he called it?

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The square of opposition.George Englebretsen - 1976 - Notre Dame Journal of Formal Logic 17 (4):531-541.
Square of opposition.Author unknown - 2004 - Internet Encyclopedia of Philosophy.
Could the Aristotelian square of opposition be translated into Chinese?Mary Tiles & Yuan Jinmei - 2004 - Dao: A Journal of Comparative Philosophy 4 (1):137-149.
The traditional square of opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.

Analytics

Added to PP
2009-01-28

Downloads
51 (#277,647)

6 months
1 (#1,040,386)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

References found in this work

[Introduction].O. H. Mitchell & J. Venn - 1884 - Mind 9 (34):321-322.

Add more references