There’s one way for a cable to be untangled, and an incalculable amount of ways for it to be tangled. When letting it randomly change state it is very improbable for it to randomly end up in the untangled state.
Same for shoelaces, there is but a few ways for the shoes to be properly knot, and a comparatively essentially infinite ways for them not to be.
I know it’s a joke, but I find this perspective fascinating.
If it was just infinite ways for shoelaces to improperly knot then headphones would also not properly knot and easily untangle by pulling one end. But that doesn’t happen.
The difference is from the physics of lengths of string/wire and the shoelaces are under tension while headphone wires aren’t.
Shoelaces have a “proper” knot while headphones do not. If we were tying our shoes into the abominations I pull out of my pocket, maybe that’d play out differently.
Entropy always increases.
There’s one way for a cable to be untangled, and an incalculable amount of ways for it to be tangled. When letting it randomly change state it is very improbable for it to randomly end up in the untangled state.
Same for shoelaces, there is but a few ways for the shoes to be properly knot, and a comparatively essentially infinite ways for them not to be.
I know it’s a joke, but I find this perspective fascinating.
The danger of an over simplified model.
This is why I hate math ;-;
this is why I love it!
Just as well that this is physics then!
relevant
Yeah… But I know of no purely mathematical theory that predicts entropy - this really is a physics thing.
If it was just infinite ways for shoelaces to improperly knot then headphones would also not properly knot and easily untangle by pulling one end. But that doesn’t happen.
The difference is from the physics of lengths of string/wire and the shoelaces are under tension while headphone wires aren’t.
Shoelaces have a “proper” knot while headphones do not. If we were tying our shoes into the abominations I pull out of my pocket, maybe that’d play out differently.