/sci/ - Science & Math » Thread #14354621

190KiB, 894x1588, 277466798_1858447371023549_6954630925954111785_n.jpg

View Same Google iqdb SauceNAO

Do the Pareto principle, Golden Ratio, and Number e converge anywhere?

Anonymous Fri 01 Apr 14:43:36 2022 No.14354621 View Reply Original Report

Quoted By: >>14354658 >>14356143 >>14357617 >>14357619

Since these things show us limits, rules, features, constants of reality, shouldn't they converge from the same source, or to the same place?
>Could they be used to form a religion? In other words, could they tell us what we are supposed to do and who we should be?

Anonymous

Anonymous Fri 01 Apr 2022 14:46:42 No.14354634 Report

Quoted By:

Bruh the crazy thing is that all of these constants seem to be related, often in very natural ways. You just have to find the right integral or the right probability distribution.

Logos works in mysterious ways.

Anonymous

Anonymous Fri 01 Apr 2022 14:58:44 No.14354658 Report

Quoted By: >>14354915 >>14357093

>>14354621
they are just some points on the number line. there is an endless amount of these and the vast majority of them are useless
>constants of reality
we chose to define maths in a specific way for convenience sake then we defined reality with this maths such that we end up having pi and e everywhere.

FEET FEET FEET FEET FEET FEET FEET FEET FEET FEET FEET

Anonymous

Anonymous Fri 01 Apr 2022 16:22:48 No.14354915 Report

Quoted By: >>14355020

>>14354658
They wouldn't show up if math was defined some different way? I don't think so.
How could math be redefined anyways?
Even if you could redefine math, these rules, or limits would still be there.
Maybe you're right, but you don't back up your statements with anything.

Anonymous

Anonymous Fri 01 Apr 2022 16:39:55 No.14355020 Report

Quoted By:

>>14354915
that's a hard question. imagine we find another alien species, would their maths be like ours? other than the obvious stuff like degrees being different, bases being different, etc it's hard to tell
imo geometry and everything related to it would have looked very different if euclid's postulates never existed and it was built on non euclidean geometry from the start but we would have to be very smart to do anything useful with it. i'd imagine an alien civilization could use the curvature of the surface of their planet is a reference point to everything.
things like flux and radiance would be very different if you assumed some random shape instead of a perfect sphere or square. if you allow bodies and space to have any shape instead of convenient ones all Pis disappear

Anonymous

Anonymous Fri 01 Apr 2022 22:22:01 No.14356143 Report

Quoted By:

>>14354621
The pareto principle isnt real

Anonymous

Anonymous Sat 02 Apr 2022 05:37:43 No.14357093 Report

Quoted By: >>14357278 >>14357506

>>14354658
>we chose to define maths in a specific way for convenience sake then we defined reality with this maths such that we end up having pi and e everywhere.
Reality pre-exists our definitions.

Anonymous

Anonymous Sat 02 Apr 2022 08:11:20 No.14357278 Report

Quoted By: >>14359949

>>14357093
Proof?

Anonymous

Anonymous Sat 02 Apr 2022 10:57:35 No.14357506 Report

Quoted By: >>14359949

>>14357093
yes but we have to access it through our shitty senses and shitty intuition.
the entire history of human knowledge is basically us trying to overcome this, all the statistical tools, all measurement instruments, all the principles,etc were created for this purpose. how close are we to see the true reality? that's hard to tell

Anonymous

Anonymous Sat 02 Apr 2022 12:09:40 No.14357617 Report

Quoted By: >>14357619

>>14354621
yes, e and pi, which are both deeply intertwined, do relate to the golden ratio in a number of interesting ways
perhaps the most interesting of all is as the natural balancing point within the octave in music, where the golden ratio represents how the harmonic series tend to diverge outward in a spiral, while pi keeps the octave closed
interestingly, this happens precisely at n = 12, i.e. when you divide the octave into 12 geometrically scaling tones, which we today know as 12-tone equal temperament, and which has been what the Western musical tradition has naturally gravitated towards, and which is also found in many other places in the world (other temperaments are also used, such as 19-TET, but this is not as perfect as 12-TET)

>«In general, the interference equation can be used to measure resonant amplitudes for any musical interval under any temperament or octave division. This equation tells us that minimum resonance occurs at the fourth root of an octave (or square root of twelve) while maximum resonance occurs at the cube root of half an octave. Taken together, these results offer clear evidence that harmonic interference balances naturally around 12 as the most rational and harmonic number possible.»

Anonymous

Anonymous Sat 02 Apr 2022 12:11:04 No.14357619 Report

Quoted By:

>>14354621
>>14357617

>«We find here the most amazing thing. The arithmetic mean converges toward PI, or mathematical constant ? ? 3.14159, located in the middle of the curve. We further find this point in the distribution curve to be equal to Unity (or 1) when the domain value X = 12. This is significant because twelve is the square root of 144, the value shared by both harmonic and Fibonacci series in a 12-step octave. Squaring each of the table values and dividing by twelve confirms that 12.02383 ? 12 is the point of balance between foreground and background.

>The significance of twelve as a point of balance in the octave interference pattern is proven further by plugging it into the equation, confirming the curve height equal to Unity at the octave. But even more significant than this is the fact that plugging the square root of twelve into the equation results in the amplitude y = 5.0666. Care to guess what this number represents?

>It is none other than the y-axis amplitude for the golden ratio in an octave. Yes, the square root of twelve in the Gaussian interference pattern occurs precisely at ?, right in the “cracks between the keys” of a major 3rd and minor 3rd in an octave. Just like the dense lattice region between a major 6th and minor 6th, the infinite golden ratio also provides an anti-harmonic proportion in the lower half of an octave. This occurs naturally at the square root of 12 (or fourth root of 144) in a 12-step octave.

>No matter how you do the math, both harmonic and Fibonacci series reach a harmonic balance with one another at n=12 and an anti-harmonic dead zone at n=?12. Division of the octave by twelve (not eleven, nineteen or any other number) is revealed here as a completely natural pattern produced by linear harmonics that are curved in pitch space by Fibonacci proportions as they converge to ?.»

Anonymous

Anonymous Sun 03 Apr 2022 04:34:40 No.14359949 Report

Quoted By:

>>14357278
I've seen cats before I ever had a word to denote one.
>>14357506
Our shitty senses and shitty intuition are also part of reality, so your comment sorta falls flat on it's face lol.

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches