In math we define things in terms of axioms. That defines what is valid or not. We can have opinions about whether we like a given set of axioms or not but I don't think we have some automatic shared idea on what is valid or not in mathematics.
Post by twetch#1832
Few mathematicians would have ever thought that until the 20th century. "Axioms" used to mean a self-evident or easily demonstrate truth. Now, because of the blunders modern math, "axioms" mean "any set of assumptions we take as a given and cannot prove."
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- 2020-11-21T04:49:45Z
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- 1Jj8TsZnm1bosAJFjkbS8J2MckEGx6sGot
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- twetch#1832
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There's no such thing as "self-evidence"
There are definitely self-evident truths.
"Every thing is exactly the way that it is, and it isn't however it isn't."
Self-evidently true.
Why is it self-evident?
If you understand the meaning of the words, you can understand it's universally true and literally cannot be false - i.e. to deny it would yield a logical contradiction.