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6÷2(1+2) (programming.dev)
submitted 11 months ago* (last edited 11 months ago) by wischi@programming.dev to c/memes@lemmy.ml

https://zeta.one/viral-math/

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 :)

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[-] SmartmanApps@programming.dev 1 points 9 months ago

without providing evidence for your own position

You know full well it's all in my thread. Where's yours?

I’m saying I shouldn’t have to go looking

You didn't have to go looking - you could've just accepted it at face-value like other people do.

You’ve provided a single textbook,

No, multiple textbooks. If you haven't seen the others yet then keep reading. On the other hand you haven't provided any textbooks.

the argument is that both sides are valid and accepted

But they're not. The other side is contradicting the rules of Maths. In a Maths test it would be marked as wrong. You can't go into a Maths test and write "this is ambiguous" as an answer to a question.

here’s an article from someone who writes textbooks

Not high school textbooks! Talk about appeal to authority.

Yep, seen it before. Note that he starts out with "It is not clear what the textbook had intended with the 3y". How on Earth can he not know what that means? If he just picked up any old high school Maths textbook, or read Cajori, or read Lennes' letter, or even just asked a high school teacher(!), he would find that every single Maths textbook means exactly the same thing - ab=(axb). Instead he decided to write a long blog saying "I don't know what this means - it must be ambiguous".

Not only that, but he also didn't know how to handle x/x/x, which shows he doesn't remember left associativity either. BTW it's equal to x/x² (which is equal to 1/x).

the ambiguity exists

...amongst people who have forgotten the rules of Maths. The Maths itself is never ambiguous (which is the claim many of them are making - that the Maths expression itself is ambiguous. In fact the article under discussion here makes that exact claim - that it's written in an ambiguous way. No it isn't! It's written in the standard mathematical way, as per what is taught from textbooks). It's like saying "I've forgotten the combination to my safe, and I've been unable to work it out, therefore the combination must be ambiguous".

You are correct, I suppose a mathematics professor from Harvard (see my previous link for the relevant discussion of the ambiguity) isn’t at the high school level.

Thank you. I just commented to someone else last night, who had noticed the same thing, I am so tired of people quoting University people - this topic is NOT TAUGHT at university! It's taught by high school teachers (I've taught this topic many times - I'm tutoring a student in it right now). Paradoxically, the first Youtube I saw to get it correct (in fact still the only one I've seen get it correct) was by a gamer! 😂 He took the algebra approach. i.e. rewrite this as 6/2a where a=1+2 (which I've also used before too. In fact I did an algebraic proof of it).

the ambiguity exists and one side is not immediately justified/‘correct’

The side which obeys the rules of Maths is correct and the side which disobeys the rules of Maths is incorrect. That's why the rules of Maths exist in the first place - only 1 answer can be correct ("ambiguity" people also keep claiming "both answers are correct". Nope, one is correct and one is wrong).

That’s a leading question and is completely unhelpful to the discussion.

Twice I said things about it and you said you didn't believe my interpretation is correct, so I asked you what you think he's saying. I'm not going to go round in circles with you just disagreeing with everything I say about it - just say what YOU think he says.

[-] The_Vampire@lemmy.world 0 points 9 months ago

You didn’t have to go looking - you could’ve just accepted it at face-value like other people do.

I could also walk off a cliff, doesn't mean I should. Sources are important not just for what they say but how they say it, where they say it, and why they say it.

But they’re not. The other side is contradicting the rules of Maths. In a Maths test it would be marked as wrong. You can’t go into a Maths test and write “this is ambiguous” as an answer to a question.

…amongst people who have forgotten the rules of Maths. The Maths itself is never ambiguous (which is the claim many of them are making - that the Maths expression itself is ambiguous. In fact the article under discussion here makes that exact claim - that it’s written in an ambiguous way. No it isn’t! It’s written in the standard mathematical way, as per what is taught from textbooks). It’s like saying “I’ve forgotten the combination to my safe, and I’ve been unable to work it out, therefore the combination must be ambiguous”.

The side which obeys the rules of Maths is correct and the side which disobeys the rules of Maths is incorrect. That’s why the rules of Maths exist in the first place - only 1 answer can be correct (“ambiguity” people also keep claiming “both answers are correct”. Nope, one is correct and one is wrong).

Yes, that is your claim which you have yet to prove. You keep reiterating your point as if it is established fact, but you haven't established it. That's the whole argument.

Twice I said things about it and you said you didn’t believe my interpretation is correct, so I asked you what you think he’s saying. I’m not going to go round in circles with you just disagreeing with everything I say about it - just say what YOU think he says.

Literally just give me a direct quote. If you're using it as supporting evidence, tell me how it supports you. If you can't even do that, it's not supporting evidence. I don't know why you want me to analyze it, you're the one who presented it as evidence. My analysis is irrelevant.

Thank you. I just commented to someone else last night, who had noticed the same thing, I am so tired of people quoting University people - this topic is NOT TAUGHT at university! It’s taught by high school teachers (I’ve taught this topic many times - I’m tutoring a student in it right now). Paradoxically, the first Youtube I saw to get it correct (in fact still the only one I’ve seen get it correct) was by a gamer! 😂 He took the algebra approach. i.e. rewrite this as 6/2a where a=1+2 (which I’ve also used before too. In fact I did an algebraic proof of it).

I was being sarcastic. If you truly think highschool teachers who require almost no training in comparison to a Phd are more qualified... I have no interest in continuing this discussion. That's simply absurd, professors study every part of mathematics (in aggregate), including the 'highschool' math, and are far more qualified than any highschool teacher who is not a Phd. This is true of any discipline taught in highschool, a physics professor is much better at understanding and detailing the minutiae of physics than a highschool physics teacher. To say a teacher knows more than someone who has literally spent years of their life studying and expanding the field when all the teacher has to do is teach the same (or similar) curriculum each and every year is... insane--especially when you've been holding up math textbooks as the ultimate solution and so, so many of them are written by professors.

I want to point out that your only two sources, both a screenshot of a textbook, (yes, those are your only sources. You've given 4, but one I've repeatedly asked about and you've refused to point out a direct quote that provides support for your argument, another I dismissed earlier and I assume you accepted that seeing as you did not respond to that point) does not state the reasoning behind its conclusion. To me that's far worse than a professor who at least says why they've done something.

I've given 3 sources, all of which you dismiss simply because they're not highschool textbooks... y'know, textbooks notorious for over-simplifying things and not giving the logic behind the answer. I could probably find some highschool textbooks that support weak juxtaposition if I searched, but again that's a waste of money and time. You don't seem keen on acknowledging any sort of ambiguity here and constantly state it goes against the rules of math, without ever providing a source that explains these rules and how they work so as to prove only strong juxtaposition makes sense/works. If you're really so confident in strong juxtaposition being the only way mathematically, I expect you to have a mathematical proof for why weak juxtaposition would never work, one that has no flaws. Otherwise, at best you have a hypothesis.

[-] SmartmanApps@programming.dev 0 points 9 months ago

Sources are important not just for what they say but how they say it, where they say it, and why they say it.

None of which you've addressed since I gave you the source. Remember when you said this...

you can’t identify authors, you can’t check for bias

So, did you do that once I gave you the link? And/or are you maybe going to address "what they say but how they say it, where they say it, and why they say it" in regards to the link I gave you?

You keep reiterating your point as if it is established fact,

What they teach in Maths textbooks aren't facts? Do go on. 😂

tell me how it supports you

I did, and you've apparently refused to read the relevant part.

in comparison to a Phd

You know not all university lecturers do a Ph.D. right? In which case they haven't done any more study at all. But I know you really wanna hang on to this "appeal to authority" argument, since it's all you've got.

I have no interest in continuing this discussion

Yeah I saw that coming once I gave you the link to the textbook.

including the ‘highschool’ math

...when they were in high school.

teach the same (or similar) curriculum each and every year

There you go. Welcome to why high school teachers are the expert in this field.

math textbooks as the ultimate solution and so, so many of them are written by professors

So wait, NOW you're saying textbooks ARE valid in what they say? 😂

I want to point out that your only two sources

All that points out is that you didn't even read THIS thread properly, never mind the other one. Which two are they BTW? And I'll point out which ones you've missed.

I assume you accepted that seeing as you did not respond to that point

Well, I'll use your own logic then to take that as a concession, given how many of my points you didn't respond to (like the textbook that I gave you the link to, and the Cajori ab=(ab) one, etc.).

I’ve given 3 sources,

3 articles you mean.

all of which you dismiss simply because

...all of them have forgotten about The Distributive Law and Terms., which make the expression totally unambiguous. Perhaps you'd like to find an article that DOES talk about those and ALSO asserts that the expression is "ambiguous"? 😂 Spoiler alert: every article, as soon as I see the word "ambiguous" I search the text for "distributive" and "expand" and "terms" - can you guess what I find? 😂 Hint: Venn diagram with little or no overlap.

I could probably find some highschool textbooks that support weak juxtaposition if I searched,

Do you wanna bet on that? 😂

without ever providing a source that explains these rules

They're in my thread, if you'd bothered to read any further. By your own standards, 😂I'll take it that you concede all of my points that you haven't responded to.

I expect you to have a mathematical proof for why weak juxtaposition would never work, one that has no flaws. Otherwise, at best you have a hypothesis

You know some things are true by definition, right, and therefore don't have a proof? 1+1=2 is the classic example. Or do you challenge that too?

So do YOU have a hypothesis then? How "weak juxtaposition" could EVER work given "strong juxtaposition" is the only type ever used in any of the rules of Maths? I'll wait for your proof...

[-] The_Vampire@lemmy.world 0 points 9 months ago

At this point you're just ignoring whatever I say and I see no point in continuing this discussion. You haven't responded to what I've said, you've just stated I'm wrong and to trust you on that because somewhere prior you said so. Good luck with convincing anyone that way.

[-] SmartmanApps@programming.dev 0 points 9 months ago

somewhere

You know EXACTLY where I said those things, and you've been avoiding addressing them ever since because you know they prove the point that #MathsIsNeverAmbiguous See ya.

[-] SmartmanApps@programming.dev 1 points 9 months ago

Also noted that you've declined on taking on that bet I offered.

this post was submitted on 12 Dec 2023
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