
doi: 10.1007/bf03024393
handle: 1959.13/940616
The six known occurrences of the sequence 0123456789 in the decimal expansion of \(\pi\) are listed. Before these were found, it had been thought possible that their existence or non-existence would never be known, and this had been used to highlight issues of classical versus constructivist mathematics. The author comments on these issues and states that ``\dots{} the philosophy of mathematics matters as never before''.
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc., Philosophy of mathematics, prescribed sequences in the decimal expansion of \(\pi\), pi, Heyting, philosophy of mathematics, Brouwer, Brouwer-Heyting sequences
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc., Philosophy of mathematics, prescribed sequences in the decimal expansion of \(\pi\), pi, Heyting, philosophy of mathematics, Brouwer, Brouwer-Heyting sequences
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