Did you know...
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- ...that Oceania is at war with
Eurasia Eastasia Eurasia Eastasia?
- ...that Oceania has always been at war with
Eurasia Eastasia Eurasia Eastasia?
- ...that war is peace?
- ...that freedom is slavery?
- ...that ignorance is strength?
- ...that life is death?
- ...that Larry Sanger did not co-found Wikipedia?
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- Let a and b be equal non-zero quantities
![{\displaystyle a=b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1956b03d1314c7071ac1f45ed7b1e29422dcfcc4)
- Multiply through by a
![{\displaystyle a^{2}=ab}](https://wikimedia.org/api/rest_v1/media/math/render/svg/60b98f9a169eb53f3ce440f142f636a23069d4b3)
- Subtract
![{\displaystyle a^{2}-b^{2}=ab-b^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/71bba20c8b33a30580c4b21f188347e3d137e429)
- Factor both sides
![{\displaystyle (a-b)(a+b)=b(a-b)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/696e2143b2672f73e706f250891234df40a24b09)
- Divide out
[this is the point where the theorem is wrong]
![{\displaystyle a+b=b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8a2762a1fa7ecec8730cded57f13e8bebeba5bf1)
- Observing that
![{\displaystyle b+b=b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c1874967b2b29a23f1ba3f0e9a61042d293cfe19)
- Combine like terms on the left
![{\displaystyle 2b=b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/04296139bb0c68a363df555c925112a1c2b73183)
- Divide by the non-zero b
![{\displaystyle 2=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/66cf677955dbda7dbb2f214252c9b9833669022b)
- Add 3 to each side
![{\displaystyle 5=4}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fa0487f869e395b17462dd23da12c668eb036d77)
![{\displaystyle 4=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/baddd630b1e07538ad039d4f0431a9b2030a23a9)
![{\displaystyle 2+2=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/de4520e2da0b35c4bf907b9d6b933fb015ea0e52)
You know it's true (as long as you don't have any qualms against division by zero, and I hear Jimbo doesn't).
- ^ Yes, we know this isn't from 1984.
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