Me, a nerd: its just a joke don’t go off on a tangent, dont go off on a tangent, dont go - just let it be… I just… I just…
I NEEEED IT
So achtbually, nature works with transcendental real numbers on the complex plane with infinite precision.
This is math nerd speak for, most numbers are multi-dimensional not just living on the straight integer number line but instead a plane where the imaginary numbers occupy their own dimension.
Most numbers are infinitely precise thus being uncalculatable. Its why we only have good approximations for pi instead of an exact pinpoint knowledge of it. There are methods to get closer and closer approximations but you need an infinite time frame to complete that unending process.
Really its a miracle that we have even a thin narrow portion of numbers we can compute, all our regular integers and ratios are islands distanced apart by an infinitely deep ocean.
Most of our universal physical and mathematical constants are transcendental reals cause nature gets a real hard on for baking multidimensional fractal holomorphic topology and complex nonlinear equations into itsmagical abstraction bullshit machinery and logic.
It’s not that we invented imaginary numbers, its that they were needed to fully complete our understanding of algebra and graduate from cave man linear algebra to discovering homomorphic dynamics after 2000 years of banging basic logical abstractions together to make a enough decent sparks of discovery for a real smoldering fire.
Computer processing power sure helped to visualize these topologies for our little monkey brains to process with our eyeballs in real time instead of just thinking about this stuff in the minds eye.
In case you were wondering about the stuff in the image:
Multidimensional AI activation map showing how and image AI organizes its knowledge on a neural network. Similar concepts or images are closer together.
algae colony arranging itself into conjoined 2nd iteration sierpinski triangle, screenshot from a journey to the microcosmos video.
pascals algebraic triangle encoding the sierpinski triangle by if the number is even or odd (base/mod 2)
the dynamic map of where a pendulum will land if pulled upon by three magnets equally spaced given its initial starting spot. https://youtu.be/C5Jkgvw-Z6E
Me, a nerd: its just a joke don’t go off on a tangent, dont go off on a tangent, dont go - just let it be… I just… I just…
I NEEEED IT
So achtbually, nature works with transcendental real numbers on the complex plane with infinite precision.
This is math nerd speak for, most numbers are multi-dimensional not just living on the straight integer number line but instead a plane where the imaginary numbers occupy their own dimension.
Most numbers are infinitely precise thus being uncalculatable. Its why we only have good approximations for pi instead of an exact pinpoint knowledge of it. There are methods to get closer and closer approximations but you need an infinite time frame to complete that unending process.
Really its a miracle that we have even a thin narrow portion of numbers we can compute, all our regular integers and ratios are islands distanced apart by an infinitely deep ocean.
Most of our universal physical and mathematical constants are transcendental reals cause nature gets a real hard on for baking multidimensional fractal holomorphic topology and complex nonlinear equations into itsmagical abstraction bullshit machinery and logic.
It’s not that we invented imaginary numbers, its that they were needed to fully complete our understanding of algebra and graduate from cave man linear algebra to discovering homomorphic dynamics after 2000 years of banging basic logical abstractions together to make a enough decent sparks of discovery for a real smoldering fire.
Computer processing power sure helped to visualize these topologies for our little monkey brains to process with our eyeballs in real time instead of just thinking about this stuff in the minds eye.
In case you were wondering about the stuff in the image: Multidimensional AI activation map showing how and image AI organizes its knowledge on a neural network. Similar concepts or images are closer together.
3D mandelbrot set with the logistic map highlighted along its real number line axis. https://github.com/jonnyhyman/Chaos
minibrot zoom in
algae colony arranging itself into conjoined 2nd iteration sierpinski triangle, screenshot from a journey to the microcosmos video.
pascals algebraic triangle encoding the sierpinski triangle by if the number is even or odd (base/mod 2)
the dynamic map of where a pendulum will land if pulled upon by three magnets equally spaced given its initial starting spot. https://youtu.be/C5Jkgvw-Z6E