International Journal of Theoretical Physics

, Volume 20, Issue 6, pp 451–456

On states on the product of logics

  • V. Maňasová
  • P. Pták

DOI: 10.1007/BF00671358

Cite this article as:
Maňasová, V. & Pták, P. Int J Theor Phys (1981) 20: 451. doi:10.1007/BF00671358


We take up the question of when a state (= σ-additive measure) on the product of logics (=σ-orthomodular posets) depends on at most countably many coordinates. We show that it is always so provided there are no real-measurable cardinals. The manner of dependence is a kind of convex combination. We derive some consequences of the latter statement.

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • V. Maňasová
    • 1
  • P. Pták
    • 1
  1. 1.Technical University of PraguePrague 6Czechoslovakia

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