💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱

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  • 946 Comments
Joined 2 years ago
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Cake day: November 25th, 2023

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  • How did I let you rope me into honestly trying to get through to you?

    Gaslighters can’t gaslight Maths teachers about Maths. You should know that by now

    I called all of this from a mile off

    That you were going to ignore Maths textbooks? I called that too 😂

    you did exactly what I said

    Nope. You never said I was going to prove you wrong

    while insisting you weren’t

    I’ve been doing the same thing I always do - proving you wrong with Maths textbooks 😂

    respond “tExTbOoK!”

    The question is, why do you refuse to look in any?

    I never should’ve edited what the first reply said in full:

    You never should’ve commented at all gaslighter

    Fuck off.

    says person in an admission of defeat





  • Distribution is “effectively” multiplication

    No it isn’t, it’s Brackets. a(b+c)=(ab+ac) <== Brackets Now solve (ab+ac), or do you think that (8-5) is subtraction and not brackets? 😂 It’s actually the reverse process to Factorising, whereas Multiplication is the reverse operation to Division - not even remotely the same thing.

    othing you say, nothing you point to, could possibly change that,

    says person ignoring Maths textbooks 😂

    because they will always get the same answer

    No they don’t! 😂 That’s why it’s a Law

    1/a(b+c)=1/(ab+ac)

    1/ax(b+c)=(b+c)/a

    Oops! (b+c) went from being in the denominator to being in the numerator, leading to WRONG ANSWER 😂 Welcome to why we have The Distributive Law

    if getting the right answer is all that makes two things the same

    No it isn’t, but that’s the first thing which has to happen. See previous point where they aren’t even the same answer, therefore one of them is wrong

    shut the fuck up

    says person still refusing to look in Maths textbooks 🙄



  • I mean, it is pretty clear here that you do not really understand the purpose of notation,

    says person who doesn’t understand that there is only one possible answer to 2+3x4. Even kids who are still counting up know what it is

    Notation is just a constructed language to convey a mathematical idea, it’s malleable

    Yep, and the rules aren’t. 2+3x4 can only ever equal 14. In Germany it’s written 2+3.4, and it’s still equal to 14, because the rules are universal

    Nothing you referenced proved the convention as law

    says person ignoring the textbook screenshots explaining why it’s a Law 🙄

    neither is there any mathematical basis for any proof

    Yes there is. See textbook screenshots 🙄

    it simply is nonsensical to “prove” a notation

    It proves the rules 🙄

    Have another source for this being convention https://www.themathdoctors.org/order-of-operations-why/

    Read the comments and you’ll find multiple people telling him he is wrong, with references 😂 His usual comeback is “well, that doesn’t prove that it’s taught everywhere”, yeah only that they ALL say the same thing! 😂 And he even admitted at one point he couldn’t find his rule in any Maths textbooks. 😂 I even tried to tell him myself, and he deleted my comment because I proved he was wrong 😂

    or https://math.stackexchange.com/questions/884765/mathematical-proof-for-order-of-operations.

    Is well-known to be overridden with people who do not know how to do order of operations 😂 On Mastodon I’ve seen people asking where is a better place to take Maths problems

    If you want a book about this

    I have plenty of Maths textbooks, which for some reason you refuse to look in

    there’s https://en.wikipedia.org/wiki/Bronshtein_and_Semendyayev that is cited by wikipedia.

    “comprehensive handbook” - so, yet again, not a Maths textbook 🙄

    “first published in 1945 in Russia” - the order of operations rules are older than 1945 😂

    “frequently used guide for scientists, engineers, and technical university students” - notably no mention of Mathematicians

    I’m sure you could also find stuff about this in a set theory book

    and you could find this in a high school Maths textbook

    Though good luck understanding them without sufficient experience in high-level maths

    You know teachers here are required to have a Masters in Maths right?? 😂

    But why is it the correct answer?

    Count up and find out, or use some Cuisenaire rods. This is how young kids learn to do it

    In what context?

    The context of Addition 🙄

    What is the definition of addition?

    1+1=2, then inductively proven for all subsequent numbers

    How can you prove that 1+1=2 from fundamental axioms?

    It’s true by definition

    This is harder to answer than you might think

    Not hard at all. 1+1=2 by definition, then the rest of the numbers are proven inductively. You know there are several species of animals that also know how to count, right?




  • You are functionally illiterate

    says person who doesn’t understand how apps work

    RPN is not an “app.”

    What do you think is behind the RPN calculators? A person?? 😂

    RPN is a NOTATION

    Yep, so is ALGEBRA 😂 The rules are independent of both

    That’s what the N is

    Yep, notation, not rules

    It is a completely different way of doing math!

    Nope! It’s only a different NOTATION - you just said that yourself! 😂

    It works on paper!

    So does Algebra - surprise, surprise, surprise 😂

    t is a syntax for performing calculations using a stack-based

    NOTATION

    There are no fucking parentheses - anywhere

    And I’m guessing you think there is no 1 anywhere in a+b, and there’s no + anywhere in 1-2

    Order of operations is implicit

    Which you could write explicitly with Brackets. 2 3 + 4 x = (2+3)x4

    completely different from the one thing you insist is both universal

    No it isn’t. 2 3 + 4 x gives the same answer as (2+3)x4, and 3 4 x 2 + gives the same answer as 2+3x4. Note that in the first example 2 3 + is effectively being bracketed, as otherwise you’d get a wrong answer by the order of operations rules

    Do you know anything that’s not in a textbook for children?

    Yep, everything in high school Maths textbooks 😂





  • That’s a very simplistic view of maths

    The Distributive Law and Arithmetic is very simple.

    It’s convention

    Nope, a literal Law. See screenshot

    https://en.wikipedia.org/wiki/Order_of_operations

    Isn’t a Maths textbook, and has many mistakes in it

    Just because a definition of an operator contains another operator, does not require that operator to take precedence

    Yes it does 😂

    2+3x4=2+3+3+3+3=14 by definition of Multiplication

    2+3x4=5x4=20 Oops! WRONG ANSWER 😂

    As you pointed out, 2+34 could just as well be calculated to 54 and thus 20

    No, I pointed out that it can’t be calculated like that, you get a wrong answer, and you get a wrong answer because 3x4=3+3+3+3 by definition

    There’s no mathematical contradiction there

    Just a wrong answer and a right one. If I have 1 2 litre bottle of milk, and 4 3 litre bottles of milk, even young kids know how to count up how many litres I have. Go ahead and ask them what the correct answer is 🙄

    Nothing broke

    You got a wrong answer when you broke the rules of Maths. Spoiler alert: I don’t have 20 litres of milk

    You just get a different answer

    A provably wrong answer 😂

    This is all perfectly in line with how maths work

    2+3x4=20 is not in line with how Maths works. 2+3+3+3+3 does not equal 20 😂

    add(2, mult(3, 4)), for typical

    rule

    But it could just as well be mult(add(2, 3), 4), where addition takes precedence

    And it gives you a wrong answer 🙄 I still don’t have 20 litres of milk

    And I hope you see how, in here, everything seems to work just fine

    No, I see quite clearly that I have 14 litres of milk, not 20 litres of milk. Even a young kid can count up and tell you that

    it just depends on how you rearrange things

    Correctly or not

    our operators is just convention

    The notation is, the rules aren’t

    Something in between would be requiring parentheses around every operator, to enforce order

    No it wouldn’t. You know we’ve only been using brackets in Maths for 300 years, right? Order of operations is much older than that

    Such as (2+(3*4))

    Which is exactly how they did it before we started using Brackets in Maths 😂 2+3x4=2+3+3+3+3=14, not complicated.




  • Here is a distributive law lesson for grade 4

    That’s the Distributive Property actually. The dead giveaway is the multiply sign, as in “The Distributive Property of Multiplication over Addition”. There’s no Multiply sign in The Distributive Law, a(b+c)=(ab+ac)

    Here’s another, and another.

    Also The Distributive Property. “The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately” - no, the Distributive Property says that.

    These were the first results

    Welcome to the problem with using the internet and not looking at Maths textbooks

    It being used in an algebra course doesn’t mean it’s in the domain of algebra

    It being taught in Algebra most certainly does mean it’s in the domain of Algebra

    Algebra is also used in calculus, but algebra isn’t the domain of calculus, correct?

    It’s all Algebra. You can’t do Calculus if you haven’t learnt Algebra yet, just like you can’ do a(b+c) if you haven’t learnt Algebra yet.

    It’s algebra when it’s using variables

    and the rules of Algebra, like a(b+c)=(ab+ac). Arithmetic doesn’t have any rules that aren’t in Algebra, but Algebra does have rules which aren’t in Arithmetic.

    and you’re solving for an equation

    I can solve 1+1= without using Algebra

    2(3+4) is arithmetic

    Nope, it’s Algebra

    2(x+4)=0 is algebra

    Yep, now substitute x=3 in 2(x+4) and tell me what you get 😂

    the application of the operations of addition, subtraction, multiplication, and division to them

    Yep. Notice how Distribution was not mentioned?? 😂

    and formal manipulations

    Yep, such as a(b+c)=(ab+ac)

    rather than specific numbers

    Soooo, a+b is Algebra, but 2a+3b+4 isn’t Algebra, because it has specific numbers in it?? 😂

    Note: Algebra includes the use of arithmetic

    Yep, it sure does.

    t being used in algebra does not mean it is part of algebra

    NOT being used in Arithmetic means it’s not part of Arithmetic. 🙄 You know we’ve only had Brackets in Maths for 300 years, and that Arithmetic is much older than that, right?