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especially for mixed division and multiplication, have changed over time
and yet, have not changed since he died. 😂 Keep going - you're on the right track but the rabbit hole is deeper
Supporting my point that these “rules” are not in fact rules of maths
says person who doesn't know the difference between rules and conventions, and thus does not support what you are saying 😂
instead rules of mathematicians
who proved them, yes
associative relations which obey the distributive law
Property, not Law, yes
may break one set of rules of precedence
there's only one set! 😂
those are rules made by mathematicians not by the fundamental working of the universe
says person failing to give a single example of such 😂
How do I know this?
Same way you "know" everything - you just make it up as you go along, but never can produce any evidence to support you 😂
at the time he was writing, there was “no agreement” over the order in which to perform divisions and multiplications if both occur in an expression
Yep, and why was that, or have you already forgotten the assignment? 😂
So here’s a question for you: do you agree with Cajori that at one time there was no agreement over which order to perform multiplications and divisions, or not?
Of course, and I, unlike you, know exactly what he was talking about 😂
do you then agree that, for there to be agreement now
There isn't, given he was talking about conventions, and now, same as then, different people use different conventions, but all of them obey the rules 🙄
that change must be through rules created by mathematicians
from proof of same
rules given to us from the universe itself?
NOW you're getting it!
Because the universe certainly didn’t change in the meantime, did it?
Nope, and neither have the rules 😂
If you don’t agree then that would rather expose your fetishisation of textbooks as hollow trolling, of course.
And, yet I did agree, sorry to spoil your fun. 🤣🤣🤣 BTW Cajori isn't a textbook, in case you didn't notice 😂
The contents of the book day nothing about the “rules” only about the symbols
says person proving they didn't read it. Who woulda thought you might refuse to read something that would prove you wrong. 🙄
In general, responding to a question with “you haven’t read enough” is, indeed, deflection
says person revealing they don't know what deflection means either 🙄
a sign you can’t answer
I can answer if you go ahead and book some online tutoring with me to cover the history behind the comment.
If you could, you would! Simple
It's not my job to educate you dude, unless you book some online tutoring with me, in which case it is my job. I gave you a book which answers it, for free, in extreme detail, and you lied about what it even contains, cos you never even looked at it, simple.
answer the question, deflecter :)
I haven't deflected. I told you to go read up on the history of it and you would discover what was being talked about. Since you apparently don't know how to use Google either, here's a link for you
about a page saying “other rules may have been adopted” suggests anything others than that different rules may have been adopted?
says person revealing they haven't read about the history behind that comment 🙄
You know by know that no-one but you agrees with your interpretations.
All the textbooks agree dude, which you would know if you had read more, but you've chosen to remain an ignorant gaslighter
You can’t find a single explicit agreement with them
With what?
Reposting the same pages that you are misinterpreting is very silly, isn’t it
says person who can't post anything that agrees with their silly interpretation 🤣🤣🤣
just stop it it’s not cool its not funny its not impressing everyone
It's not meant to be cool, or funny, or impress anyone. It's fact-checking disinformation
you’re just going to feel badly about it later
Nope! Feels good every time I stop a gaslighter
All mathematical proofs can be written in that form, otherwise they are not proofs
says person confirming he doesn't know much about Mathematical proofs 🙄
All kinds of proof are merely special cases of the general kind I told you about
No they're not, and you even admitted at the time that it had limitations 🙄
You didn’t know this?? Yeesh
Yes, I knew you only knew about one kind of proof, hence why I told you to go back to high school and re-learn all the other types that we teach to students
I’ve given you the definition of a proof before
You gave the defintion of one kind of proof. I'll take that as an admission then that you can't fault any of my proofs, since you can't point out anything wrong with any of them, only that they don't use the only proof method you know of, having forgotten the other proof methods that were taught to you in high school 🤣🤣🤣
if you can’t work out why what you wrote doesn’t match
I already know why it doesn't match, that doesn't make it not a proof, DUUUUHHH!!! 🤣🤣🤣 You need to go back to high school and learn about the other methods of proof that we use. You only seem to know the one you use in your little bubble.
you just can’t do maths.
Says person who only knows of ONE way to prove anything in Maths! BWAHAHAHAHAHAHAHAHAHA! 🤣🤣🤣
Taken as an admission that I have indeed proved my points then, as I already knew was the case.
That’s ok, as Barbie taught us “math is hard!”
Is THAT why you only know ONE method of proof - you learnt from Barbie??? 🤣🤣🤣
And yet you were unable to reply with a proof. So sad
Says person unable to point out in what way it wasn't a proof, so sad 🤣🤣🤣
That’s some awful impressive goalpost shifting
BWAHAHAHAHAHAHA! Says person refusing to acknowledge that it's in textbooks the difference between conventions and rules 🤣🤣🤣
Gold medal mental gymnastics winner
Yep, I know you are. That's why you had to post known to be wrong blogs, because you couldn't find any textbooks that agree with you 🤣🤣🤣
And here you are, still unable to explain why prefix and postfix notation don’t have an operator precedence.
Speaking of goalpost shifting - what happened to they don't have rules?? THAT was your point before, and now you have moved the goalposts when I pointed out that the blog was wrong 🤣🤣🤣
I’m still waiting
says person who has still not posted any textbook at all with anything at all that agrees with them, to someone who has posted multiple textbooks that prove you are wrong, and now you are deflecting 🤣🤣🤣🤣
They literally don’t
they literally *do., That's why the rules get mentioned once at the start of the blog - it's the same rules duuuhhh!!! 🤣🤣🤣
I defy you to show me a single source that tells you that prefix or postfix notation use PEDMAS.
PEMDAS isn't the rules, it's a convention
I’ll even take Quora answers
I won't take anything but textbooks, and you've still come up with none
I’ll even take a reputable source talking about prefix/postfix that doesnt bring up how order of operations isn’t required for those notations.
That's exactly what the blog you posted does. I knew you hadn't read it! BWAHAHAHAHAHAHAHA! 🤣🤣🤣 I'll take that as an admission of being wrong then
No, you’ve show a screenshot from a random PDF
of a Maths textbook, with the name of the textbook in the top left, and the page number also in the top left. 🤣🤣🤣
Infix notation needs extra information to make the order of evaluation of the operators clear:
rules built into the language about operator precedence and associativity
Yep, says nothing about operator precedence being tied to the notation, exactly as I just said, so that's a fail from you then

But then you go on to say something to the effect of “anyone who knows the rules can the extra information”
derive the rules is what I said liar. The only thing you need to know is the definition of the operators, everything else follows logically from there.
Which is both unsubstantiated given the long history of not having PEDMAS
The order of operations rules are way older than PEMDAS. It even says it in one of the blogs you posted that PEMDAS is quite recent, again showing you didn't actually read any of it. 🙄
No, you’ve show a screenshot from a random PDF
Nothing random about it. The name of the textbook is in the top left. Go ahead and search for it and let me know what you find. I'll wait 🤣🤣🤣

What math textbook and what edition is it?
So, you're telling me you don't know how to look at the name of the PDF and search for it?? 🤣🤣🤣 I can tell you now it's the #1 hit on Google
The fact you think that factorization has to do with order of operations is shocking
says person revealing they don't know anything about order of operations 🤣🤣🤣 Make sure you let all the textbook authors know as well 🤣🤣🤣
Yes the multiplication is done first
No, Brackets are done first.
The law is about converting between a sum of a common product and a product of sums
Nope. That's the Distributive Property, and yes indeed, the Property has nothing to do with order of operations, but the Distributive Law has everything to do with order of operations.
No matter how you write them, it will always be about those things,
The Property will, the Law isn't
so the multiplication always happens first.
No, Brackets are always done first
It’s crazy that you’re not able to distinguish between mathematical concepts and the notation we use to describe them
says person who doesn't even know the difference between a Property and a Law, and, as far as I can tell, have never even heard of The Distributive Law, given they keep talking about the Property
But putting that aside, that’s not a proof of PEDMAS.
Right, it's a proof of the order of operations rules for Brackets 🙄
If PEDMAS is an actual law
It isn't, it's a convention
There are proofs for 1+1
It's true by definition. There's nothing complex about it. Just like ab=(axb) is true by definition
if PEDMAS is a law
It isn't, it's a convention. Not sure how many times you need to be told that 🙄
or an textbook snippet
You mean like textbook snippets stating that The Distributive Law is the reverse operation to Factorising?? See above 🤣🤣🤣
Has anyone tried TextTransform with a Button on Android? I originally tried all sorts of things to get my Android buttons to be lower-case, and nothing worked, it was always all-caps regardless of the original case, because "Material design on Android", 🙄 and I ended up giving up on it. Would love to try this out but I've recently reinstalled and haven't finished yet, so I haven't got anything ready to go to try it out and see if it works with Android Buttons.