what was the first question basic arithmetic failed to answer

>>8541751
They're both the same answer, I don't get it.

>>8541751
Modelling continuous problems was certainly one of them

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>>8541768
lmao brainlet

>>8541751
All of computational mathematics is built on arithmetic. Higher computations and functions are abstractions of some base arithmetic. Arithmetic can't "fail" in mathematics.

>>8541780
arithmetic by itself can't answer certain questions, like how to find the area under curve or a tangent on a point. my question though is when was this first apparent, like what was the first true need of analysis with arithmetic to answer a problem?

>>8541790
>how to find the area under curve or a tangent on a point
Are you joking? You've never used Simpson's Rule? Do you not know about Riemann Sums?

>>8541797
>Question is about what Artithmetic can't solve
>wtf no, it can
>uses an advanced complex analysis tool as example

>>8541797
those are just approximations. i'm talking about exact values, which can't be obtained without proposing limits on summations you just mentioned.

think about it like this. let's say someone asked you "what's the arithmetic form of sin(x)" what would you say?

>>8541802
>simpsons rule
>riemann sums
>advanced complex analysis

You used both these things to do this in elementary school geometry, although less rigorously defined.

>>8541805
>"what's the arithmetic form of sin(x)"

Literally division, retard.

>>8541805
>let's say someone asked you "what's the arithmetic form of sin(x)" what would you say?

Count x radians around unit circle, measure distance from x axis.

Do you really think counting and measuring is advanced math? GTFO brainlet.

>>8542017
that's if you're doing trig ratio. if i ask you sin(x) how do you represent it in terms of x using just arithmetic? show me the function that gives you this.

>>8542025
>arithmetic form
>brings up unit circle
>x axis

stop

>>8542032
Draw a circle with diameter 2
At a point where your diameter line meets the circle, count that many units around the circle
Measure distance from your diameter line.

>>8542026
It's in my precalc book which I can't be bothered to dig out right now. You can rework the pythagorean theorem to give it to you and I don't feel like deriving it again.

>>8542057
t.Fermat