International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 5, Pages 321-325
doi:10.1155/S0161171201006330

Ultralogics and probability models

Robert A. Herrmann

Mathematics Department, U. S. Naval Academy, 572C Holloway RD, Annapolis 21402-5002, MD, USA

Abstract

We show how nonstandard consequence operators, ultralogics, can generate the general informational content displayed by probability models. In particular, a probability model that predicts that a specific single event will occur and those models that predict that a specific distribution of events will occur.