Kate O'Neill

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Thus, the second problem among those Hilbert presented to the mathematicians gathered in Paris: But above all I wish to designate the following as the most important among the numerous questions which can be asked with regard to the axioms: To prove that they are not contradictory, that is, that a definite number of logical steps based upon them can never lead to contradictory results.
How Not to Be Wrong: The Power of Mathematical Thinking
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