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We need a super-mathematics in which the operations are as unknown as
the quantities they operate on, and a super-mathematician, who does
not know what he is doing when he performs these operations.
-- Eddington
.ESS
Although the motivation for carrying out this research of course
preceded the effort, I have delayed until this section a discussion
of why this is worthwhile, why it was attempted.
First there was the inherent interest of getting a handle on
scientific creativity. AM is partly a demonstration that some
aspects of creative theory formation can be demystified, can be
modelled as simple rule-governed behavior.
Related to this is the potential for learning from AM more about the
processes of concept formation. This was touched on previously, and
several experiments already performed on AM will be detailed later.
Third, AM itself may grow into something of pragmatic value. Perhaps
it will become a useful tool for mathematicians, for educators, or as
a model for similar systems in more "practical" fields. Perhaps in the
future we scientists will be able to rely on automated assistants to
carry out the "hack" phases of research, the tiresome legwork
necessary for "secondary" creativity.
Historically, the domain of AM came from a search for a scientific
field whose activities had no specific goal, and in which natural
language abilities were unnecessary. This was to test out the BEINGs
[Lenat 75b]
ideas for a modular representation of knowledge.
It would be unfair not to mention the usual bad reasons for this
research: the "Look ma, no hands" syndrome, the AI researcher's
classic maternal urges, ego, the usual thesis drives, etc.
.end;