Mathematical Sciences: Topics in Set Theory
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Robert M. Solovay's current project in the foundations of               mathematics has two parts, one in set theory and one in models of               arithmetic.  The work in set theory will attempt to show that                   some unresolved questions concerning C*-algebras are actually                   independent of the customary axioms of set theory, the so-called                Zermelo-Fraenkel axioms.  This would mean that they could be                    settled only by adopting additional axioms, such as the desired                 answers themselves.  Since C*-algebras are an important object of               study in modern analysis, this part of the project would have a                 wider audience that most projects in foundations.  The other                    part, concerning models of arithmetic, is somewhat more                         technical, likely to have an enthusiastic but more restricted                   audience.
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{'Code': '1268', 'Text': 'FOUNDATIONS'}
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