/sci/ - Science & Math

>>12462119
>What's [math]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}[/math]
>Oh no, the answer is [math]0.\bar{9}[/math], but this number does not exist!
Existence in the context of mathematics is not an ontological problem. Is a true or false statement within the set of usual formal rules

>>12462137
>>12462144
>is e+[math]\pi[/math] irrational
It still is an open problem: https://mathworld.wolfram.com/e.html..
>add the two numbers e and pi together and give me the answer
You can have the answer to any precision you want. What does it mean to have an answer of arbitrary precision? Means exactly this sum: >>12462092, when you haven't stated an error margin initially. The actual infinite sum is never performed, as pic related explain. Why? First, because the actual infinite sequence of digits of pi or e is not known, unlike the infinite sequence [math]0.\bar{9}[/math] that is fully known. Second, because pi and e are useful because of their properties, not because their exact digit expansion, that is know exists and is unique, again because of >>12462092. If you have solved any physics and engineering problem you should know that you don't really need many digits of pi.

>>12453356

>>12447263
>>12447507
>>12449386