Proof by contradiction

To prove something by contradiction, we assume that what we want to prove is not true, and then show that the consequenc...

Proof by contradiction

To prove something by contradiction, we assume that what we want to prove is not true, and then show that the consequences of this are not possible. That is, ... ,The idea of proof by contradiction is quite ancient, and goes back at least as far as the Pythagoreans, who used it to prove that certain numbers are irrational ...

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Proof by contradiction 相關參考資料
3.3: Proof by Contradiction

2021年9月29日 — The basic idea for a proof by contradiction of a proposition is to assume the proposition is false and show that this leads to a contradiction.

https://math.libretexts.org

An Introduction to Proof by Contradiction - NRICH

To prove something by contradiction, we assume that what we want to prove is not true, and then show that the consequences of this are not possible. That is, ...

https://nrich.maths.org

Contradiction-Proofs.pdf

The idea of proof by contradiction is quite ancient, and goes back at least as far as the Pythagoreans, who used it to prove that certain numbers are irrational ...

https://cgm.cs.mcgill.ca

Discrete Math - 1.7.3 Proof by Contradiction

https://www.youtube.com

Mathematics Tools: Proof by Contradiction

Proof By Contradiction · Assume the opposite of your conclusion. · Use the assumption to derive new consequences until one is the opposite of your premise.

https://www2.edc.org

Proof by contradiction

In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to ...

https://en.wikipedia.org

Proof by Contradiction - Discrete Math

2023年11月29日 — Proof by Contradiction is a technique used in mathematical proofs to demonstrate a statement by assuming that it is false and then showing ...

https://www.codecademy.com

PROOF by CONTRADICTION - DISCRETE MATHEMATICS

https://www.youtube.com

Proof by Contradiction | Brilliant Math & Science Wiki

To prove a statement by contradiction, start by assuming the opposite of what you would like to prove. Then show that the consequences of this premise are ...

https://brilliant.org