/sci/ - Science & Math

>>10382016
>How is infinity even real?
It's a concept. We don't have an example of anything infinite in our world, but in maths we idealise and assume perfeftion. So no smallest objects exist there, therefore we can do something infinitely. In real world, if there wasn't these limits, it would be true too. But the physics applies perfect maths to real constans, and it is theirs tasks

>>10382016
You can sort of apply it to the real world. Using PID controllers and system stability, you can control response rates and see if the system goes to a point or becomes unstable. Systems will usually go up shit crick pretty fast if they are unstable, but there are the rare cases where the right variables at the wrong times can fuck up a system response.
To put it in relatable terms, a cars cruise control uses this system to take in variables like wind resistance, incline, etc and maintain roughly the same speed. If the system were to become unstable and not have any safety features, the car might infinitely speed up until it burns out or slow down until it refuses to move at all.

>how is infinity real
>posts example of """paradox""" that is resolved by elementary infinite sum
>hurr how does it apply

>>10382016
Infinity isn't real by the Archimedean property.

>>10382016
Black hole singularity?

wildberger pls go

There is no theory of infinity, little guy. It is a tool that in the right context allows us to manipulate mathematical functions in new and useful ways.

>>10382016
https://youtu.be/40msMLFj1uM

>>10382256
this

>>10382016
>How is infinity even real?
by definition, it isn't real:

https://www.wolframalpha.com/input/?i=infinity
An unbounded quantity that is greater than every real number.

>>10382016
>you can't apply that to real life
how do you explain your mom's weight and the number of cocks gobbled?

>>10382495
heh

>>10383131
x>r can't be true for real r and non-real x so infinity must be real.
>>10382016
Archimedes and the turtle are real finite things represented as an infinite but just because you can represent them that way doesn't mean they're really non-finite.

>>10383392
>x>r can't be true for real r and non-real x so infinity must be real.

hurrrrr durrrrrrrrrrr

We know through philosophy that God is absolute infinity
God exists
Therefore infinity exists

>>10383646
god isn't real

>>10382016
You can't apply it to the universe with the physical laws that govern it. It doesn't mean that it doesn't apply elsewhere.

>>10382016
Even if it isn't real, it can simplify discrete problems.
It's easier to integrate x^n from a to b than it is to sum a^n + (a+1)^n + ... + b^n.
Euler-Maclaurin summation bridges that gap.

Last Thursdayism, prove me wrong that everything in the universe was created last Thursday, all memories and fossils and everything were created last Thursday. Even though you can’t prove it didn’t happen doesn’t make it wrong, you just have to make a lot of assumptions to believe it. This brings along Occam’s razor which states less assumptions probably make it more feasible. I forget where I was going with this. OP is a faggot for arguing semantics

>>10383646
>>10383654
Both of you prove it

>>10383763
god = infinity
infinity = An unbounded quantity that is greater than every real number.
By definition, if inf was a real number, it would be greater than itself.
=> inf isn't real
=> god isn't real

.

Infinity is real not a theory, but it is not always practical to compute fully. Example compute exactly a third of one in base ten decimal, the computation would last for infinity or you can say whatever, use fractions or a good enough approximation instead.

define number