Keywords
How to Cite
Abstract
The paper deals with the factors which enabled N. A. Vasiliev to put forward in 1910 - 12 the idea of logics free of the laws of contradiction and excluded middle, the idea of metalogic and to construct his imaginary logic as novel non-classical system. It is shown that background of Vasiliev’s ideas lies deeply in Russia’s culture and particular approach to logical discourse. Several Russian scholars expressed ideas similar to Vasiliev’s though not in such explicit form. This period might be called the prehistory of paraconsistency. Real history of paraconsistency starts with N.C.A. da Costa’s works.References
ARRUDA, A.I. “On Imaginary Logic of N.A. Vasiliev” in Nonclassical Logics, Model Theory, and Computability / Eds. Arruda A.I., Da Costa N.C.A., Chuaqui R. Amsterdam; N.Y.; Oxford: NorthHolland, p. 3-24, 1977.
ARRUDA, A.I. “A Survey of Paraconsistent Logic” in Mathematical Logic in Latin America / Eds. Arruda, A.I., Chuaquai, R., Da Costa, N.C.A. Amsterdam; N.Y.; Oxford: North-Holland, p. 1-41, 1980.
BAZHANOV, V.A. “Charles Peirce’s Influence on Logical Ideas of N.A.
BAZHANOV, V.A Vasiliev” in Modern Logic, vol. 3. N 1, p. 48-56, 1992.
BAZHANOV, V.A . “Toward the Reconstruction of the Early History of Paraconsistent Logic: the Prerequisites of N. A. Vasiliev’s Imaginary Logic” in Logique et Analyse, vol.161-162-163. p. 17 - 20, 1998.
BAZHANOV, V.A. “The Origins and Emergence of Non-Classical Logic in Russia (Nineteenth Century until the Turn of the Twentieth Century)” in Zwischen traditioneller und moderner Logik. Nichtklassiche Ansatze. Mentis-Verlag, Paderborn, p. 205 - 217, 2001.
BAZHANOV, V.A. “The Scholar and the “Wolfhound Era”: The Fate of Ivan E.
BAZHANOV, V.A Orlov’s Ideas in Logic, Philosophy, and Science” in Science in Context, vol. 16, N 4. - p. 535-550, 2003.
BAZHANOV, V.A. “Non-Classical Stems from Classical: N. A. Vasiliev’s Approach to Logic and his Reassessment of the Square of Opposition” in Logica Universalis, vol.2, N 1. p. 71 - 76, 2008.
DA COSTA, N.C.A. “Nota sobre o concerto de contradição” in Anuario da Sociedade Paranaense de Matematica 1, nova serie, p. 6-8, 1958.
DA COSTA, N.C.A., BEZIAU, J.-Y. and BUENO, O. “Paraconsistent Logic in a Historical Perspective” in Logique et Analyse, vol. 150 - 151 - 152. p. 111 - 125, 1995.
DOSEN, K. “The First Axiomatization of Relevant Logic” in Journal of Philosophical Logic, Vol. 21, p. 339 - 356, 1992.
VASILIEV, N.A. Review of Work Done in 1911 - 1912. Manuscript, (Kazan University library) (Russian), 1912.
VASILIEV, N.A. “Imaginary (non-Aristotelian) Logic” in Journal of the Ministry of Higher Education, August, p. 207 - 246 (Russian), 1912.
Downloads
