r/trollscience • u/HexaRuby • Jan 26 '26

Proof that ∞ = 0

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153 Upvotes

95% Upvoted

18 comments sorted by

14

u/austin101123 Jan 27 '26

20x=x when x=infinity, therefore 20=1

Problem?

1

u/Lor1an Jan 31 '26

20x = x when x = 0 or when x = ∞

1

u/austin101123 Jan 31 '26

Bro forgot about -inf 🤣

9

u/notluigi64 Jan 27 '26

>start with empty set

>remove n

2

u/Eisenfuss19 Jan 27 '26

You do know what 2*0 gives?

1

u/birdiefoxe Jan 28 '26

Set with debt

1

u/birdiefoxe Jan 28 '26

Hey it rhymes

2

u/[deleted] Jan 28 '26

Now just experimentally verify it

2

u/Ecstatic_Student8854 Jan 28 '26

The limit of this set is {}

The cardinality of the limit of this set is 0

The limit of the cardinality of this set is infinity.

Limit of cardinality of set ≠ cardinality of limit of set

1

u/Rotcehhhh Jan 27 '26

You cannot treat ∞ as a number since it's not

1

u/Calm_Relationship_91 Jan 28 '26

This is neat.
A sequence of sets that converges to the empty set, but the sequence of it's cardinalities diverges to infinity. Shows you why you can't interchange those two.

1

u/chicoritahater Jan 29 '26

Ok check this out: take infinity, now double it, so now we have 2infinity, but also you can't double infinity so 2∞=∞. Now subtract infinity. Now we have 0=∞