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0.33 continued (one third) plus 0.33 continued plus 0.33 continued (1/3 + 1/3 + 1/3) equals one. But if each 0.33 is an infinite string of 3's...is it possible to truly calculate the equation since an equation with infinitely long numbers would take infinite time to calculate? What's actually going on here?
>>
>>16575505
> What's going on here?

You have autism. Case closed.
>>
1/3 = 3/10 + 1/30
= 0.3 + 1/30
= 0.33 + 1/300
= 0.333 + 1/3000
:
= 0.333... + 1/inf
= 0.333... + 0
= 0.333...
>>
[math] \displaystyle
1= \dfrac{3}{3}=3 \cdot \dfrac{1}{3}=3 \cdot 0. \bar{3}=0. \bar{9}
[/math]
>>
1/9 = 0.111...
+
8/9 = 0.888...
=
9/9 = 0.999...
>>
ITT: a 95-IQ moron who doesn't understand infinitesimals so never passed calculus
>>
Infinite sequences and series are not real. You cannot take the limit of 0.99, 0.999, 0.9999 etc. because that sequence does not exist. 0.9999.... is a meaningless abuse of notation.
>>
>>16576108
philosophers belong in /phil/
not in /math/
>>
>>16575640

1/3 = 0.333...
+
2/3 = 0.666...
=
3/3 = 0.999...
>>
>>16576116
1 - 0.99999 = 0.00000 ... 00001
>>
>>16575505
You can perform a mapping from an infinite sequence to another infinite sequence instantly.
In this particular case, you map every digit at the corresponding index of one 1/3 to the other 1/3, and add them.
This post doesn’t use any math concepts, just logic.
>>
You lost.
https://youtube.com/watch?v=G0l6yRyNN5A
>>
>>16576119
omg
this again?
>>
>>16575505
= 1
>>
1/3 ≥ 0.333...
2/3 ≥ 0.666...
3/3 = 1
>>
>>16576119
The 1 is at the end of an endless sequence?
>>
>>16576231
Yes. Now you see that math is a sham.
>>
Most math in the modern era is a hoax meant to boost corps and other evil.
>>
>>16575505
thats not how that works
>>
>>16576248
It's gobbeldygook
>>
1/3 =/= 0.33
>>
>>16575505
Work in trinary. A rose by any other name and whatnot.
1/3 (base 10) = 0.1 (trinary)
0.1 + 0.1 + 0.1 = 1
QED
>>
>>16575505
You're a fucking retard, and you need to kill yourself.
>>
>>16576226
>2/3 ≥ 0.666...
2/3 ≤ 0.666...
is also true
>>
what do you mean? just change the numeral system and it all adds up perfectly
>>
>>16575505
>is it possible to truly calculate the equation since an equation with infinitely long numbers would take infinite time to calculate
1.00 continued (one) plus 1.00 continued (one) equals two. You have just calculated a sum of two infinitely long numbers.
I'm a finitist btw, but you're giving us a bad name.
>>
>>16576119
[math] \displaystyle
\frac{1}{3} = 0.\overline{3}= 0.1_3
[/math]
[math] \displaystyle
3 \cdot 0.\overline{3} = 0.\overline{9} = 0.1_3 + 0.1_3 + 0.1_3 = 1_3 = 1
[/math]
>>
>>16576252
nooooo really,
say something funny again
>>
>>16576371
>2/3 ≤ 0.666...
0.666... ≤ 2/3
Fixed it
>>
>>16575505
we will never know, it's a mystery of nature
>>
>>16576399
>0.666... ≤ 2/3
>Fixed it
it wasn't broken or wrong

you merely repeated another it, or this:
>>16576226
>2/3 ≥ 0.666...
>>
>>16576415
>it wasn't broken or wrong
Then show us
>>
>>16576420
>Then show us
gladly:

each of, the following three statements, is true
x ≤ x
x = x
x ≥ x
>>
>>16576436
kek, only x=x is true
>>
>>16576443
>only x=x is true
since you dispute,
that "5 ≤ 5"
and "7 ≥ 7"
are true statements,
you're a waste of time
>>
>>16576450
>5 ≤ 5
https://www.wolframalpha.com/input?i=5+%E2%89%A4+5
>>
>>16576450
>that "5 ≤ 5"
>and "7 ≥ 7"
Yes those are not true statements, 5 is not lesser equal to 5 but equal
>>
>>16576303
Why use the virgin qed instead of the chad ὅπερ ἔδει δεῖξαι from euclids elements, qed is the Latin of ὅπερ ἔδει δεῖξαι anyway
>>
>>16576778
Quod studui linguae Latinae, non lingua cuius dictors irrumant pueros.
(you can prove I didn't use google translate too, because google translate gets this sentence wrong in two ways)
>>
>>16575505
If you have two points in space and halve the distance between them, and then halve the remaining distance, and you do this infinitely, when do they become the same point?



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