measurements in the real world can only be approximated (except for the specific things we use as references for measurement, such as the IPK), and in general, the actual distance between any two things
is
an irrational number. mathematics has rational numbers, but real world applications of mathematics do not.
But in reality we know that it's not irrational. There are no irrational numbers in real life. So, what is the true ratio? How can we find it?
This is the "golden ratio" people don't speak about, isn't it?
Not even a computer can figure out the distance? Is there something wrong with our number system? Is there any changes we can make to our number system to make it easier to calculate?
It blows my mind because if we have a circle with a known absolute circumference, then we draw a line through the center and erase the circle we have a line segment which should be able to be measured.
Is it just a matter of our abilities to measure things not being accurate enough? Most likely. In order to find the true ratio I guess we would have to change the unit of measurement to particles or something, which I'm assuming we don't have the tech to do yet (maybe?)
First off there is nothing that says there can't be irrational distances in the real world. I'm curious where you derive that notion from.
Second, even if we accept it (maybe every distance is an integer multiple of a Planck distance or something) pi is still a perfectly good number that accurately measures the ratio in a mathematical circle. Moreover a "real world" circle would have a ratio very closely approximating pi. It would likely vary from circle to circle, sometimes being slightly larger and sometimes slightly smaller.
Also measurement is fundamentally imprecise (I think?) and so it isn't really meaningful to call the value of a measurement rational or irrational, since you would need perfect precision to distinguish between these.
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
In post 3, implosion wrote:First off there is nothing that says there can't be irrational distances in the real world. I'm curious where you derive that notion from.
Because an irrational number is infinite. It's not measurable. Never ending.
Distances are finite. Measurable. Beginning, and ending.
I'm not sure you understand what the word "infinite" means in this context. the decimal form of pi has an infinite number of digits, but any number can be written with an infinite number of digits in that form; for instance, zero can be written as 0.00000000000... if you like, with an infinite quantity of the digit 0 after the decimal point. that doesn't make zero equal to infinity.
In post 3, implosion wrote:First off there is nothing that says there can't be irrational distances in the real world. I'm curious where you derive that notion from.
Because an irrational number is infinite. It's not measurable. Never ending.
Distances are finite. Measurable. Beginning, and ending.
The problem like xyzzy alludes to is that you're not using precise definitions for the words measurable and infinite. Mathematics is very precise so until you define exactly what it means to measure something or what you mean by infinite or even distances it's unclear what you're arguing.
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
I have no idea what you mean by that. Math is more art than science in the first place. It just happens to have applications that science finds very deeply useful. The actual process of creating mathematics is much more comparable to art imo.
Distances in the real world are not irrational or rational. They aren't real numbers in the mathematical sense. They are numbers with significant figures and error bars. Calling them rational or irrational is nonsensical.
So what is the length of the hypotenuse of a right-angled triangle with the other 2 sides length 1?
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
Imagine you are finger painting and are trying to color something in between two lines, but your finger itself is fatter than the gap. Every time you put your finger down, the paint ends up slightly off. A little too much on the left, a little too much on the right, back to the left again. You keep trying, and every pass the paint inside the area you are trying to color gets darker and thicker than the surrounding area and the shape you are trying to color starts to become clear, but only with unsightly smudges surrounding it.
You'll never get a perfectly sharp edge, because your finger is just too fat.