Presents a three-way, three-mode extension of the two-way, two-mode hierarchical classes model of P. De Boeck and S. Rosenberg (1998) for the analysis of individual differences in binary object x attribute arrays. Illustrates the model with data on psychiatric diagnosis and discusses the relation between the model and other extant models. (SLD)

The completion of a quarter-century effort by mathematicians to classify all finite simple groups is detailed. The knowledge gained from this classification has already found important applications in many areas of mathematics, and is felt by some to be the crowning achievement of twentieth century algebra. (MP)

Rough set theory is a new mathematical tool to deal with vagueness and uncertainty. Computational methods are presented for using rough sets to identify classes in datasets, finding dependencies in relations, and discovering rules which are hidden in databases. The methods are illustrated with a running example from a database of car test results.…

This paper suggests that logic consists of a collection of propositions and operations of negation, conjunction, disjunction, implication, and equivalence. It points out that the operations on dispositions depend upon the truth-value of the propositions involved. This raises the questions, How do we know whether a proposition is true or false? and…

Current activities of the Computer Curriculum Corporation and university level computer-assisted instruction at Stanford University are highlighted. Stanford's programs in logic, axiomatic set theory, computer-generated speech, and informal mathematical proofs are described and predictions are made for future developments in CAI. (RAO)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

Described are graphing activities which can be instrumental in introducing the mathematics concepts of counting, sorting, grouping, and comparing on the primary level. On the intermediate level, these activites can be used to introduce collecting and sorting unorganized data, and creating graphs to represent the data. (Author/TG)