On a Ubiquitous Cardinal

A note on Wakker's Cardinal Coordinate Independence

Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence”. Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility model with a finite number of states. He has furthermore explored in depth how this condition can be weakene...

A Note on the Two Cardinal Problem

In this note we prove a theorem concerning the two cardinal problem (see [l], [4], [6], [7] for reference and for some of the standard notation); this result has been referred to in [6, p. 311] and [7, (3.7) ]. The problem, first proposed by Vaught, is as follows. Let T be a first-order theory and let U be a unary predicate symbol in the language of T. T is said to admit the pair a, ß of cardin...

A note on Wakker’s Cardinal Coordinate Independence1

Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence”. Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility model with a finite number of states. He has furthermore explored in depth how this condition can be weakene...

More on Cardinal Arithmetic Sh410

A Survey on Ubiquitous Computing

This work presents a survey of ubiquitous computing research which is the emerging domain that implements communication technologies into day-to-day life activities. This research paper provides a classification of the research areas on the ubiquitous computing paradigm. In this paper, we present common architecture principles of ubiquitous systems and analyze important aspects in context-aware...