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Quote: the halting probability is a well-defined real number with no mathematical structure; the bits are random

topics > all references > references c-d > QuoteRef: chaiGJ_2001 , p. 20



Topic:
randomness
Topic:
Turing machine

Quotation Skeleton

my very worst incompleteness result, where you have … called the halting probability. [p. 21] .Omega. = halting … let's consider a real number .Omega. which is … halting problem … Once you decide [on a computer], then .Omega. is a … However it turns out this object .Omega. is … Well, it turns out these 0's and 1's … Even if you knew the first million bits, … fair coin.   Google-1   Google-2

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Related Topics up

Topic: randomness (16 items)
Topic: Turing machine (30 items)

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