Zach.ζ(s)
Region: US
Thursday 27 August 2026 02:38:22 GMT
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💿 :
this works as long as you accept that the thickness of the applied paint will not be constant and that there isnt a lower bound to what the thickness of the paint can be. The second that you say “ok well a layer of <1nm of paint isnt able to actually paint something” this solution unfortunately fails
2026-08-28 02:00:48
0
scott :
whats a gabe horn
2026-08-27 21:27:33
8
Jon :
Infinite hotel with infinite guests painting infinitely bigger horns
2026-08-27 16:01:41
1150
B :
It’s an infinite horn so you would need an infinite bucket and infinite paint
2026-08-27 05:15:26
33
smeckling :
“Infinite physical object” looks inside* another physical object occupying space
2026-08-28 01:59:49
0
Tim :
And the best part. You will get most of the paint back.
2026-08-27 12:03:48
2628
John :
Gabriel’s horn has never been paradoxical. You can easily paint an infinite surface area with a finite volume of paint. The simplest example is an infinitely long side walk one meter wide. Paint the first square meter with paint 1 mm thick. The next square meter 1/2 mm thick, then 1/4, and so on. This geometric series converges, and the total amount of paint is finite, 0.002 cubic meters, so we painted an infinite sidewalk with a finite amount of paint. Someone might complain that there’s a limit to how thin the paint can be, because it’s made of atoms of positive diameter, but the same criticism applies to Gabriel’s horn. The horn becomes arbitrarily thin, so eventually the paint atoms couldn’t coat the inside of the horn. Gabriel’s Horn is completely consistent with everything from a standard calculus 2 class. There is nothing surprising or paradoxical about it.
2026-08-27 05:55:41
94
jorge-egroj :
huh technically there not wrong
2026-08-27 06:23:52
262
nidzo :
real stuff
2026-08-27 05:38:31
68
orangeboomer :
if the horn is filled with paint then presumably the inside is painted, yes? the outside has the same surface area as the inside, which implies the outside is paintable with a finite volume of paint
2026-08-27 03:58:53
829
Laine Ryan :
hilberts hotel ty shi
2026-08-27 22:05:46
7
Gerard Sans :
Mathematically speaking: no. But if you ask me: these objects don’t exist so there’s no valid logical propositions to be made. Just ignore mathematicians that rely on impossible figures to troll you.
2026-08-27 17:34:28
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Frogman :
Bigger infinity beats smaller infinity beats battle star galactica
2026-08-27 14:05:14
51
⃟ :
Using infinity against itself???
2026-08-27 13:14:03
10
Brooke_cros :
You are on a streak
2026-08-27 02:42:34
25
Julian :
what if we fill it with paint and turn it inside out?
2026-08-27 04:45:49
16
Filip Clavin :
How are you going to put the end of an infinite horn into the end of another infinite horn when the whole thing about being infinite is having no end?
2026-08-27 10:05:44
6
Parlettuce :
It doesn’t work because a bigger turn wouldn’t converge to one bucket of paint and would instead require an infinite amount of paint to fill it
2026-08-27 18:26:19
1
Homunculust 💙 :
Fym you can fill an *Infinite* horn with a bucket of paint 😭 it should be infinite.
2026-08-28 00:08:20
3
Oingo Boingo Glazer :
Can someone explain how the horn has a finite area? If it's created by rotating y= 1/x around the x axis, then the horn should never come to a complete close since it has an asymtote of 0. What am I missing?
2026-08-27 15:15:44
0
『¿WhoAmI?』 :
is it about the thicccness of the paint? or is this applicable with any consistency I thought of tension being the reason but is it the only
2026-08-27 20:36:15
0
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