Maybe not prove everything perfectly? Say we have a language which says that this statement "currently points to being true". In the sense a language ...
Thank you for that link! This one after my exams. But I got the essentials here. I don't really care about the law of excluded middle. But I just came...
Thank you fdrake and others! Just one last thing: Where does the law of excluded middle fit into all this? A statement must be either true or false. S...
Yeah, I am not denying that. Not at all! In fact one could prove a statement to be true, even outside the axioms I guess. The question however is if a...
Yes, in a sense that is what I meant. That there might be unproven truths, but we try and map all the truths to statements in mathematics which can be...
I understand the reverse statement which you said. But, my point is that how do we even know if a mathematical statement is true or not without an axi...
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