At first glance, Robinson's original form of nonstandard
analysis appears nonconstructive in essence, because it makes a
rather unrestricted use of classical logic and set theory and, in
particular, of the axiom of choice. Recent developments, however,
have given rise to the hope that the distance between constructive
and nonstandard mathematics is actually much smaller than it
appears. So the time was ripe for the first meeting dedicated
simultaneously to both ways of doing mathematics and to the current
and future reunion of these seeming opposites.
Consisting of peer-reviewed research and survey articles written
on the occasion of such an event, this volume offers views of the
continuum from various standpoints. Including historical and
philosophical issues, the topics of the contributions range from
the foundations, the practice, and the applications of constructive
and nonstandard mathematics, to the interplay of these areas and
the development of a unified theory.
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