Mathematics

1 + 1 = 3, for large values of 1

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What is set theory?
When there are five people in the room and seven are leaving, two have to
enter the room, so it is empty.

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Theorem : All numbers are equal to zero.
Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
a = 0

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Theorem:
1 + 2 + 4 + 8 + 16 + ... = -1
Proof:
Let x = 1 + 2 + 4 + 8 + 16 + ...
=> 2x = 2 + 4 + 8 + 16 + ...
-------------------------------- -
-x = 1
x = -1

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Theorem: 1 = 0 = -1/2
Proof:
Consider the infinite series: 1 - 1 + 1 - 1 + 1 - 1 + 1 -1 + 1 ...
Pair the terms:
a) (1 - 1) + (1 - 1) + (1 - 1) + ... = 0
Pair the terms differently:
b) 1 - (1 - 1) + (1 - 1) + (1 - 1) + ... = 1
Combine a) and b):
1 = 0
c) -S = -1 + 1 - 1 + 1 - ...
= 1 + S
So 2S = -1 and S = -1/2
combine with a) and b):
1 = 0 = - 1/2

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Mathematics is made of 50 percent formulas, 50 percent proofs, and 50 percent imagination.

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If
1=5
2=25
3=125
4=625
then,
5=????


Ans is '1'
Bcoz the First Line says
1=5
Don’t Complicate Simple Promblem.