Mastodawn

1/9
Coming back this #MathsMonday to Cantor (who has regrettably been filling my #Mathematics timeline again), we have https://www.quantamagazine.org/how-can-infinity-come-in-many-sizes-20260223/ which lays out his (non-)proof in layman's terms, so let's look at the specifics of the #Maths...

"Aristotle rejected the existence of the infinite entirely; to him, infinity was simply a limit that could never be reached, not a true mathematical entity" - yep, and this is what is still taught about #Math limits and infinity today...

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Feb 25

@everton137
Yes, me. Not every week, but most weeks, I write a mini-thread about Maths - #MathsMonday - because I've seen enough #disinformation #misinformation on #Wikipedia to know the only true way to spread the word is to have a place where no-one else can back out your literal textbook quotes (notably the Wiki Maths pages in question never cite any actual textbooks 🙄 ). Here's an index thread of everything I have posted so far... https://dotnet.social/@SmartmanApps/110968910722113903

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 (@[email protected])

1/3 Maths posts index Order of operations https://dotnet.social/@SmartmanApps/110807192608472798 You can do the Maths (i) - Terms https://dotnet.social/@SmartmanApps/111402596551682777 You can do the Maths (ii) - binary/unary operators https://dotnet.social/@SmartmanApps/111442316764297667 Roman Numeral mythbusting https://dotnet.social/@SmartmanApps/111362766293591449 Maths is universal https://dotnet.social/@SmartmanApps/112019943359120289 -3² isn't ambiguous https://dotnet.social/@SmartmanApps/112353831654372246 4^3^2 isn't ambiguous https://dotnet.social/@SmartmanApps/112393591775357079 |a|b|c| isn't ambiguous https://dotnet.social/@SmartmanApps/112431765955806074 f(x) isn't ambiguous https://dotnet.social/@SmartmanApps/112471797382542523

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Feb 2

1/x
#MathsMonday #Maths #Math
Over time I've saved many screenshots of #AI #slop #aiSlop stuffing up #Mathematics big time, and on occasion I've had cause to reshare them, and at times I have cursed that I can only attach 4 pics per post. Then I realised, what am I worried about - just post them all in a thread and then I can just link to the thread (or individual screenshots), and can add to it as more come up 🙂 P.S. feel free to reply with more

I hereby present to you, AI's greatest 5hits...

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Jan 13

@RoRo
I'm a high school Maths teacher/tutor, if that's of any help (I've found trying to change things in a school to be extremely difficult - the "we've always done it this way" mentality - so not sure I can help you much in that regard). All my Maths posts are made using the #MathsMonday hashtag (and various other Maths hashtags, but you can find all of my specific ones under MathsMonday, which only a couple of other teachers have ever used here)

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Jan 5

1/5
This #MathsMonday I'm expanding on #scalars in #Mathematics. Previously we discussed that integers in #Maths are discrete, and used for counting things. In #Math we also have the Real Numbers, which is a bit of a misnomer since we don't usually use them for counting! It's more a case of people conflating them with numbers, because both use numerals. Rather, the Reals are used as multipliers, to provide a scale (though sometimes used as a fraction's decimal equivalent)…

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Dec 8

1/7
#Maths #Math
This #MathsMonday Why there isn't an #infinite amount of #numbers between 0 and 1 on the #numberline AKA The number-line isn't a TARDIS!

Firstly, one thing to point out is that people often conflate numbers with #numerals. This is important because #scalars also use numerals. Even though both numbers and scalars use numerals, they aren't the same thing!

In #Mathematics, especially #arithmetic, we use numbers to count things. They enumerate how many things there are...

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Dec 1

1/7
This air-quote #Mathematics unquote article https://www.quantamagazine.org/a-new-bridge-links-the-strange-math-of-infinity-to-computer-science-20251121/ keeps appearing in my feed, and I initially made some comments the first time, debunking it from a #Maths point-of-view, but given how it keeps popping up I think I need to do a more thorough #MathsMonday thread about it

Firstly, the author is a Physics journo, so you can take what he says about #math with a grain of salt (for some reason I see a lot of them doing this overreach, instead of checking with a Mathematician)…

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Nov 24

1/6
#MathsMonday
#Mathematics #Maths #Math
This week I want to come back to the "proof" that 0.(9)=1, which I debunked at https://dotnet.social/@SmartmanApps/112711027003047449. At the time, I said there was insufficient information, because it was unclear whether 1 was meant to be interpreted as the integer 1, or as a limits of accuracy 1. i.e. 1±½. People are taking it as the integer 1, in which case I can now thoroughly debunk that argument with that interpretation...

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Nov 10

1/10
#MathsMonday
This #Mathematics article came across my feed, about how #Maths #teachers teach #Math - https://teamone.msuurbanstem.org/wp-content/uploads/2014/07/Skemp-Relational-Instrumental-clean-copy-AT-1978.pdf - where it is quite clear that the author didn't bother asking any actual teachers about it(!), and the assumption made is completely wrong (could've saved himself all that effort if he'd just checked his #facts first #misinformation). First I'm going to address some of the wrong claims, then I will go through the actual reasons, which we DO actually teach...

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱Oct 20

#MathsMonday #Mathematics
This has been in my feed a couple of times, but with only 1 hashtag, total(!), so I'm mostly just boosting visibility (by adding more hashtags), but I will take the chance to say, yet again, no, #AI does NOT know how to do #Maths ! It doesn't know how to count (how many R's in Strawberry), it doesn't know how to reason (1=0), and this article shows, yet again, it doesn't know how to DO #Math, it only knows how to find references (in this case)

https://the-decoder.com/leading-openai-researcher-announced-a-gpt-5-math-breakthrough-that-never-happened/