3 авг. 2021 г. · Godel's incompleteness theorem applies to any theory that is capable of expressing recursive functions and that has a recursively enumerable set ...

13 дек. 2010 г. · It's a statement that any logical system cannot be both complete and consistent, where complete roughly means every statement in the theory can ...

21 янв. 2018 г. · Godel basically says that you can't have a (nontrivial) logical system that can both proves everything that can be proved (completeness) while ...

5 мая 2022 г. · It means that no fixed formal computational model of arithmetic can account for all of the things that are actually true about arithmetic.

27 мая 2012 г. · Godel's First Incompleteness Theorem states that no logical system that is capable of expressing arithmetic truths will ever be complete as ...

8 сент. 2015 г. · The first incompleteness theorem says that, no matter how many assumptions you make, there will always be questions you can't answer. The second ...

17 февр. 2010 г. · Gödel's incompleteness theorem is a technical statement concerning a possible formalization of mathematical reasoning known as first-order logic ...

19 июн. 2021 г. · Therefore, Gödel's incompleteness theorem, which is a statement about deductive reasoning systems and relies on the existence of formal proofs, ...

6 апр. 2022 г. · No. It is ignored by most philosophers because its main conclusions concern formal logic and related studies of formal systems and most ...

9 дек. 2022 г. · Godel's Incompleteness Theorem basically completely shattered that hope. It basically says that (1) consistency checks are logically impossible ...