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] \displaystyle1= \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.
>>16576108philosophers belong in /phil/not in /math/
>>165756401/3 = 0.333...+2/3 = 0.666...=3/3 = 0.999...
>>165761161 - 0.99999 = 0.00000 ... 00001
>>16575505You 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
>>16576119omgthis again?
>>16575505= 1
1/3 ≥ 0.333...2/3 ≥ 0.666...3/3 = 1
>>16576119The 1 is at the end of an endless sequence?
>>16576231Yes. Now you see that math is a sham.
Most math in the modern era is a hoax meant to boost corps and other evil.
>>16575505thats not how that works
>>16576248It's gobbeldygook
1/3 =/= 0.33
>>16575505Work in trinary. A rose by any other name and whatnot.1/3 (base 10) = 0.1 (trinary)0.1 + 0.1 + 0.1 = 1QED
>>16575505You'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 calculate1.00 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] \displaystyle3 \cdot 0.\overline{3} = 0.\overline{9} = 0.1_3 + 0.1_3 + 0.1_3 = 1_3 = 1[/math]
>>16576252nooooo really,say something funny again
>>16576371>2/3 ≤ 0.666...0.666... ≤ 2/3Fixed it
>>16575505we will never know, it's a mystery of nature
>>16576399>0.666... ≤ 2/3>Fixed itit wasn't broken or wrongyou merely repeated another it, or this:>>16576226>2/3 ≥ 0.666...
>>16576415>it wasn't broken or wrongThen show us
>>16576420>Then show usgladly:each of, the following three statements, is truex ≤ xx = xx ≥ x
>>16576436kek, only x=x is true
>>16576443>only x=x is truesince you dispute, that "5 ≤ 5" and "7 ≥ 7" are true statements, you're a waste of time
>>16576450>5 ≤ 5https://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
>>16576303Why use the virgin qed instead of the chad ὅπερ ἔδει δεῖξαι from euclids elements, qed is the Latin of ὅπερ ἔδει δεῖξαι anyway
>>16576778Quod 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)
>>16575505If 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?