All the versions of experimental
mathematics that we have dealt with so far have two characteristics:
their main interest is in expanding our mathematical
knowledge as rapidly as possible and none of them stray
too far from the mainstream.
In many cases this urgency leads to a temporary relaxation of
rigor, a relaxation that is well documented and hopefully can be cleaned
up afterwords. In other cases it may be intrinsic to
the mathematics they wish to explore. When a field has been as
wildly successful as mathematics has been in the past few
centuries there is a reluctance to change. We have hoped to
convince some of the readers that these changes are
revolutionary only in the same sense that the earth revolves
around the sun.
- [A] related papers
- Note from: G J Chaitin Posted on: Saturday, June 15 at 11:25 AM PDT
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