Theorem :
All numbers are equal
Proof :
Consider any two numbers a and b . Let t = a + b
a + b = t
(a+b)(a-b)=(a-b)t [Multiply (a-b) on both sides]
a^2 - b^2 = ta - tb
a^2 - ta = b^2 - tb
a^2 - ta +(t/2)^2 = b^2 - tb +(t/2)^2
[Add (t/2)^2 on both sides]
(a-t/2)^2=(b-t/2)^2
a - t/2 = b - t/2 [Take square root on both sides]
a = b
So All Numbers Are Equal . Maths Is Pointless .
This is also from the feild of mathematical fallacy . Try to find the fallacy if you can .
All numbers are equal
Proof :
Consider any two numbers a and b . Let t = a + b
a + b = t
(a+b)(a-b)=(a-b)t [Multiply (a-b) on both sides]
a^2 - b^2 = ta - tb
a^2 - ta = b^2 - tb
a^2 - ta +(t/2)^2 = b^2 - tb +(t/2)^2
[Add (t/2)^2 on both sides]
(a-t/2)^2=(b-t/2)^2
a - t/2 = b - t/2 [Take square root on both sides]
a = b
So All Numbers Are Equal . Maths Is Pointless .
This is also from the feild of mathematical fallacy . Try to find the fallacy if you can .
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