, Volume 20, Issue 6, pp 451-456

On states on the product of logics

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.