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pmcjones
on March 14, 2017
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Gödel and the limits of logic (2006)
(1 -> 0) = 0.
In other words, (true implies false) is false.
acchow
on March 14, 2017
[–]
"is false" doesn't mean anything in Godel's system. That's too high level and imprecise. We're dealing with only symbol manipulation here. We only have provability (which really is "there exists a derivation for") - we don't have "truth".
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In other words, (true implies false) is false.