I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.
It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
And yet the order of operations rules have been agreed upon for at least 100 years, possibly at least 400 years.
The fact that I saw it was wrong in the first paragraph is a ridiculous reason to not read the rest?
And let me point out again you have yet to give a single reason for that statement, never mind any actual evidence.
You know proofs, by definition, can’t be wrong, right? There are proofs in my thread, unless you have some unscientific and completely ridiculous reason to refuse to read - to quote something I recently heard someone say.
My students? Oh, they’re doing good. Thanks for asking! :-) BTW the test included order of operations.
Just read the article. You can’t prove something with incomplete evidence. And the article has evidence that both conventions are in use.
If something is disproven, it’s disproven - no need for any further evidence.
BTW did you read my thread? If you had you would know what the rules are which are being broken.
I’m fully aware that some people obey the rules of Maths (they’re actual documented rules, not “conventions”), and some people don’t - I don’t need to read the article to find that out.
Notation isn’t semantics. Mathematical proofs are working with the semantics. Nobody doubts that those are unambiguous. But notation can be ambiguous. In this case it is: weak juxtaposition vs strong juxtaposition. Read the damn article.
Correct, the definitions and the rules define the semantics.
…the rules of Maths. In fact, when we are first teaching proofs to students we tell them they have to write next to each step which rule of Maths they have used for that step.
Apparently a lot of people do! But yes, unambiguous, and therefore the article is wrong.
Nope. An obelus means divide, and “strong juxtaposition” means it’s a Term, and needs The Distributive Law applied if it has brackets.
There is no such thing as weak juxtaposition. That is another reason that the article is wrong. If there is any juxtaposition then it is strong, as per the rules of Maths. You’re just giving me even more ammunition at this point.
You just gave me yet another reason it’s wrong - it talks about “weak juxtaposition”. Even less likely to ever read it now - it’s just full of things which are wrong.
How about read my damn thread which contains all the definitions and proofs needed to prove that this article is wrong? You’re trying to defend the article… by giving me even more things that are wrong about it. 😂