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Results tagged with incompleteness
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user 12623
19
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Can proof by contradiction work without the law of excluded middle?
I then made some connections with my past question with Godel’s incompleteness theorem that goes something like this:
A formal system F that con express arithmetic cannot prove its own consistency … Is this true or do Godel’s second incompleteness guarantee I can’t have this? …
- 31.2k
13
votes
5
answers
5k
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Why does soundness imply consistency?
I was reading the question Consistency and completeness imply soundness? and the first statement in it says:
I understand that soundness implies consistency.
Which I was quite puzzled about beca …
- 3,090