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6
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Infinite-time Turing machines and the formal Church's thesis
Infinite-time Turing machines are known to either halt or loop in countable time.
In the spirit of double-negation translation, is there a statement which is: classically equivalent to this; consiste …
4
votes
1
answer
865
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Going beyond the strength of Peano arithmetic "without sets"
First-order arithmetic is fairly weak, as measured for example by its consistency strength. When a stronger theory is desired, it is common to work with (fragments of) second-order arithmetic or set t …