A counterexample in the theory of random orders
The main result of this paper is that the 0-1 law fails in random orders of fixed dimension k, \(k\geq 3\). In particular, an example of a first- order sentence \(\Phi\) in the language of partial orders is given which cannot have limiting probability 0 or 1 among random orders of dimension 3.
scientific article; zbMATH DE number 4103139