Modern Logic

  • Mod. Log.
  • Volume 4, Number 2 (1994), 148-156.

The imaginary geometry of N. I. Lobachevsky and the imaginary logic of N. A. Vasiliev

V. A. Bazhanov

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Abstract

This article deals with conceptual parallels between N. I. Lobachevsky's and N. A. Vasiliev's ideas. The emphasis is placed on heuristic prompts connected with Lobachevsky's geometry which promoted construction of imaginary logic by N. A. Vasiliev.

Article information

Source
Mod. Log., Volume 4, Number 2 (1994), 148-156.

Dates
First available in Project Euclid: 6 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.rml/1204835216

Mathematical Reviews number (MathSciNet)
MR1269736

Zentralblatt MATH identifier
0805.01011

Subjects
Primary: 01A55: 19th century
Secondary: 01A60: 20th century 03-03: Historical (must also be assigned at least one classification number from Section 01) 03A05: Philosophical and critical {For philosophy of mathematics, see also 00A30} 03B53: Paraconsistent logics 51-03: Historical (must also be assigned at least one classification number from Section 01)

Citation

Bazhanov, V. A. The imaginary geometry of N. I. Lobachevsky and the imaginary logic of N. A. Vasiliev. Mod. Log. 4 (1994), no. 2, 148--156. https://projecteuclid.org/euclid.rml/1204835216


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