Mathematica(@mathemetica):Gabriel’s Horn Paradox – the infinite trumpet that breaks calculus! Volume (left): ∫ π (1/x)² dx from 1 to ∞ = π (finite) ∫ 1/x dx from 1 to ∞ = ∞ (infinite) One solid you could fill with finite paint but could never paint the outside.

Mathematica

@mathemetica

Math isn't escape. It's the map through the madness.

Joined October 2024

724 Following 50K Followers

Mathematica@mathemetica

2026.05.17 21:18

Gabriel’s Horn Paradox – the infinite trumpet that breaks calculus! Volume (left): ∫ π (1/x)² dx from 1 to ∞ = π (finite) ∫ 1/x dx from 1 to ∞ = ∞ (infinite) One solid you could fill with finite paint but could never paint the outside.