Zocalo says: "keeping in mind that an infinite random data string will contain within itself every possible sequence"
Two objections to Zocalo's reasoning:
1) the digits of pi are infinite and non-repeating but certainly not random - any digit is provably (in)correct
2) infinite non-repeating strings do NOT guarantee every possible sequence... ie: 1.9119111911119 -- although if one mistakenly believed pi's digits to be random one might think the odds approached 100% of any given string appearing
Fun thought of the day: if a infinite non-repeating string DID contain any given string, would they all be the same? We could then express irrationals by just naming the starting point on the "omni-string." Cheers!
Slashdot Mirror
Zocalo says: "keeping in mind that an infinite random data string will contain within itself every possible sequence" Two objections to Zocalo's reasoning: 1) the digits of pi are infinite and non-repeating but certainly not random - any digit is provably (in)correct 2) infinite non-repeating strings do NOT guarantee every possible sequence ... ie: 1.9119111911119 -- although if one mistakenly believed pi's digits to be random one might think the odds approached 100% of any given string appearing
Fun thought of the day: if a infinite non-repeating string DID contain any given string, would they all be the same? We could then express irrationals by just naming the starting point on the "omni-string." Cheers!