this post was submitted on 28 Oct 2024
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lesser evil calculus where it's literally just n compared to n+1 is so unhinged like, this is not a meaningful measurement. if the harris admin promised to kill 200000 and maim one where the trump admin promised to kill 200001 are we making a difference here? kill 200000 and leave one on life support? what are we doing here. it's so bleak sadness-abysmal

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[–] [email protected] 19 points 5 months ago* (last edited 5 months ago)

Theorem: If the difference between Harris and Hitler is less than or equal to 1/n for all positive integers n, then Harris is equal to Hitler.

Proof by contradiction: Suppose Hitler is strictly worse than Harris, then Harris < Hitler on the evil axis.

Then we have: 0 < Hitler - Harris < 1/n for all positive integers n.

Multiplying all sides by n: 0 < n(Hitler - Harris) < 1

Dividing all sides by the difference between Hitler and Harris: 0 < n < 1/(Hitler - Harris)

But that implies the set of positive integers are bounded above by 1/(Hitler - Harris). The set of integers are an inductive set, which is any set that contains the number 1 and contains x+1 for all elements x in the set. If the set of positive integers is bounded above by 1/(Hitler - Harris), then it must have a least upperbound b such that b <= 1/(Hitler - Harris). That means the set must contain some number k such that k > b-1 otherwise b-1 would be the least upperbound. But since this is an inductive set, it must contain k+1 if it contains k, and k+1 > b, proving the set of positive integers is actually unbounded and therefore Hitler = Harris.