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Cake day: July 22nd, 2023

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  • wischi@programming.devtoLemmy Shitpost@lemmy.worldLong Cow is coming
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    30 days ago

    The same is true for your brain. Show me the neurons that are fluent in Chinese. Of course the LLM is just executing code. And if we have AGI it will also just be “executing code” but so does your brain. It’s not exactly code (but maye AGI will be analog computers, so not exactly code either) but the laws of physics dictate what your brain does. The laws of physics don’t understand Chinese, the atoms and molecules don’t understand Chinese. “Understanding Chinese” is an emergent property.

    Think about it that way: Assume every person you know (execpt you) is just some form of Chinese Room … You first of all couldn’t prove that and second it wouldn’t matter at all.











  • wischi@programming.devOPtoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.

    Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.



  • wischi@programming.devOPtoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.

    There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.

    An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.


  • wischi@programming.devOPtoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.

    So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?

    There really is no agreed upon standard even amongst experts.



  • wischi@programming.devOPtoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.

    For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹

    You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)

    6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)

    You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:

    1 / 2 * 6 * 3

    This also works for addition and subtraction

    7 + 8 - 5

    You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)

    8 - 5 + 7

    or like this

    0 - 5 + 8 + 7

    because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this

    -5 + 8 + 7

    That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”


  • wischi@programming.devOPtoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.

    It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.