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A survey of research in automated mathematical conjecture-making
[chapter]
<span title="2007-06-07">2007</span>
<i title="American Mathematical
Society">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vvrs4aeb5fbclnb6drlj6n6v5i" style="color: black;">DIMACS Series in Discrete Mathematics and Theoretical Computer Science</a>
</i>
The first attempt at automating mathematical conjecture-making appeared in the late-1950s. It was not until the mid-1980s though that a program produced statements of interest to research mathematicians and actually contributed to the advancement of mathematics. A central and important idea underlying this program is the Principle of the Strongest Conjecture: make the strongest conjecture for which no counterexample is known. These two programs as well as other attempts to automate mathematical
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... conjecture-making are surveyed-the success of a conjecture-making program, it is found, correlates strongly whether the program is designed to produce statements that are relevant to answering or advancing our mathematical questions.
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