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Shvoong Home>Science>Mathematics>Is it True That One Equals Zero, Exploring Paradoxes of Mathematics Summary

# Is it True That One Equals Zero, Exploring Paradoxes of Mathematics

Article Summary   by:jbsoul100     Original Author: openu

Is it true that one equals zero, exploring paradoxes of mathematics Chapter 1
beside the genius contribution of special minds to the science, paradoxes and contradictions are recorded in the history of mathematics, either from a failed attempt to contribute to science, or simply from a Deliberately trick which aims to challenge minds.
In this article we introduce a simple paradox from the world of mathematics, in which we prove that one equals zero.

Beginning of the proof assuming variable x carries the value 1
In mathematical language: x = 1
it is clear that x2 = 1 also

Therefore: x = x2

if we minus the same value (1) from both Sides of the equation we get
x-1 = x2-1
using the rule of decomposition: x2-1 = (x-1) (x +1)

We get x-1 = (x-1) (x +1)

We divide both sides by (x-1)

and We get 1 = x +1
this is a simple equation with the solution x = 0 (by reduction of 1 from both sides)

we got that x=0 while the basic assumption was that x = 1
Conclusion 0 = 1

one equals zero ???!! is it true?
try to locate the mistake occurred.

Published: September 11, 2009
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