Is math ever wrong?
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Is math ever wrong?
Mathematics certainly can be wrong in that a mathematician presents a faulty theorem with an error in its proof, and it passes the scrutiny of peers and is commonly accepted as true. Of course after a time the error will be found and the necessary corrections made.
Is math the truth?
Mathematics is absolute truth only to the extent that the axioms allow it to be absolutely true, and we can never know if the axioms themselves are true, because unlike theorems which can be proved using previous theorems or axioms, axioms rest on the validity of human observation.
How can math be wrong?
There are two ways for math to be fundamentally wrong: it might prove both something and its opposite (and therefore be inconsistent), or it might not be an accurate reflection of what we think it is. An example of the first kind is that one day we find out that we can prove that 1 + 1 = 1, even though we’ve already proven that 1 + 1 = 2.
Can mathematics present falsities as truths?
Yes, but only in the sense that what we call ‘mathematics’ may present falsities as if they were truths. However, this is actually due to a failure of symbolism – because no map can be the territory it is an image of. Mathematics is a formal projection of the essence of validity and soundness.
Are there any mathematical proofs that are wrong?
$\\begingroup$Lots, and yes it still happens nowadays (most mathematicians don’t computer-verify their proofs). People aren’t perfect (not even mathematicians!). One famous historical example is an incorrect proof of the four-color theorem (en.wikipedia.org/wiki/Four_color_theorem) which stood for 11 years.
Is the math in your family correct?
The math can be correct, internally consistent, according to predefined axioms, and still, the result is wildly off compared to what we actually see in reality. Even if everyone knows about families, somehow, it seems like heresy to say that 1+1 might equal 3 or more.