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How many counterexamples are required to prove that a conjecture is false?

Anonymous

∙ 10y ago

Updated: 4/28/2022

One is enough.

Wiki User

∙ 10y ago

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Q: How many counterexamples are required to prove that a conjecture is false?

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Continue Learning about Geometry

How can you prove that a conjecture is false in Geometry?

by bringing evidence to the table

How can you prove a conjecture false?

The word "conjecture" can be taken a number of ways. If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty. If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic. If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.

Which type of reasoning is used to prove a conjecture?

scientific

Which part of a 2-column proof is the conclusion of the conjecture?

Which part of a 2-column proof is the hypothesis of the conjecture? GIVEN

How can you prove that a conjecture is wrong?

Find one counterexample to negate the statement

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Related Questions

How do you prove a conjecture is false?

Prove that if it were true then there must be a contradiction.

How can you prove that a conjecture is false?

Give a counter-example.

A counterexample is sufficient to prove that a conjecture is false?

Yes.

How can you prove that a conjecture is false in Geometry?

by bringing evidence to the table

How many examples to prove a conjecture false?

A counter example

How is testing a conjecture like finding a statement true or falsehow is it different?

well.......Its like testing a conjecture and finding a statement true or false because u have to test it!!! to see if its true or false and its different,true is like something u can prove and false is untrue and u cant prove it. :D i know i don't make sense but that's how i explained it on my homeworklol

How can you prove a conjecture false?

The word "conjecture" can be taken a number of ways. If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty. If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic. If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.

To establish the validity of a conjecture is to?

prove it

How is testing a conjecture different from finding a statement true or false?

There are only two possible outcomes in finding out whether a statement is true or false.In testing a conjecture, even one contradiction is sufficient to disprove it. However, it can never be proven. All you can do is add support to the likelihood that the conjecture is true. But there remains a possibility that some other test will prove it false.Furthermore, in view of Godel's incompleteness theorem, some conjectures cannot be proven to be true even if you can prove that their negation is false.

Which type of reasoning is used to prove a conjecture?

scientific

Which part of a 2-column proof is the conclusion of the conjecture?

Which part of a 2-column proof is the hypothesis of the conjecture? GIVEN

This kind of proof required you to prove that all but one of a set of possible alternatives are false?

elementary proof

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