Im sorry, what? The order of operations is completely arbitrary, it just also happens to be the standart. Not having PEMDAS would simply mean we have to write equations differently. PEMDAS et al only exist to avoid ambiguity as in this image.
By that reasoning, sure, it is not arbitrary, it might be the most efficient way to resolve things without complicating the notation we have to use. The point about it being arbitrary was more to say that there is no real mathematic basis for it, we have simply agreed to do it this way so everyone applyingnit arrives at the same “correct” solution.
Arguably it has little value in algebra too, since it tends to be written less ambiguously, tho I have not had to really use algebra much since highschool (weirdly it was not a huge part of medschool, at least here, occasional use in chem and phys only).
Math is our representation of real world phenomena. The universe is not calculating any computations when gravity takes effect. This is basic mathematical knowledge that they teach you when you first learn physics. So no, math is not real and is entirely made up.
I see what you’re saying. But what if we tweak things a little:
Math is real, it is numbers that are invented, the discreet packets in a ruler, a measuring stick. Like an imaginary line in a grid, such as the tropics and equator.
The fundamental way that math originated cares…
Yeah but the way you derive the order of operations is way above the average maths student.I say that, but its not really that complicated to derive, since you think in terms of the expansion of the naturals to the realsMy brain is fucking dumb
Im sorry, what? The order of operations is completely arbitrary, it just also happens to be the standart. Not having PEMDAS would simply mean we have to write equations differently. PEMDAS et al only exist to avoid ambiguity as in this image.
Yeah looking at my comment with fresh eyes, I really failed to say anything true.
But I’m still going to say its not arbitary, since its super fucking convinent and it removes a lot of brackets.
By that reasoning, sure, it is not arbitrary, it might be the most efficient way to resolve things without complicating the notation we have to use. The point about it being arbitrary was more to say that there is no real mathematic basis for it, we have simply agreed to do it this way so everyone applyingnit arrives at the same “correct” solution.
Arguably it has little value in algebra too, since it tends to be written less ambiguously, tho I have not had to really use algebra much since highschool (weirdly it was not a huge part of medschool, at least here, occasional use in chem and phys only).
If pemdas is above the average math student that’s fucked. I learned it in 5th grade.
Except math isn’t real and was entirely made up. Including the order in which the operations are calculated.
Math isn’t real? The universe, and its laws of physics, disagree.
Math is our representation of real world phenomena. The universe is not calculating any computations when gravity takes effect. This is basic mathematical knowledge that they teach you when you first learn physics. So no, math is not real and is entirely made up.
How do you know?
I see what you’re saying. But what if we tweak things a little:
Math is real, it is numbers that are invented, the discreet packets in a ruler, a measuring stick. Like an imaginary line in a grid, such as the tropics and equator.
Sure, but it was made up that way for a reason
I’m sure they had a reason. Doesn’t mean it wasn’t a completely arbitrary reason