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Summary - Proof by contradiction
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  • Algorithmics
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  • 12th Grade

Elevate your understanding and proficiency in the powerful proof technique of Proof by Contradiction with our meticulously crafted notes. These comprehensive notes serve as an invaluable resource for students, academics, and professionals seeking to master this essential method of mathematical reas...

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  • May 28, 2023
  • 3
  • 2022/2023
  • Summary

Subjects

  • computing
  • programming
  • coding
  • computer science

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  • Secondary school
  • Algorithmics
  • 8
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Proof by Contradiction
course Algorithmics

last review @April 4, 2023

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Proof by Contradiction
Definition
Proof by contradiction is a method of proof that involves assuming that a statement
is false and then demonstrating that this assumption leads to a contradiction. This
contradiction must be something that is clearly false or nonsensical.

Purpose
Proof by contradiction is often used when the direct proof is difficult or impossible. By
assuming the opposite of what is to be proven and then demonstrating that it leads
to a contradiction, one can indirectly prove the original statement to be true.

Example
Suppose we want to prove that the square root of 2 is irrational. We start by
assuming, for the sake of contradiction, that the square root of 2 is a rational


Proof by Contradiction 1

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