So how would we know they are truth's?
this post was submitted on 26 Jun 2023
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That's not quite what his first theorem says. It's more like 'in any formal system there are statements that cannot be proven or disproven'. Obviously if they cannot be proven or disproven a claim that such a statement is true is incorrect. The most obvious examples are self referential logical statements like 'This statement is false.' or it's cousin: 'The following statement is false. The preceding statement is true.'