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Q: What is an example that shows a conjecture is not true called?
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What is an example that shows conjecture is not true?

A counter-example.


What is a convincing argument that logically shows why a conjecture is true is called a?

It's called a proof


What is an example of a TRUE conjecture?

The Poincaré Conjecture.


What is a logical constructed argument that shows why a conjecture is true?

a proof


What is a logically constructed argument that shows why a conjecture is true?

a proof


What is a convincing argument that logically shows why a conjecture is true?

It is a proof.


Is a case in which a conjecture is not true?

Counterexample


What is a mathematics statement believed to be true?

it is called a conjecture


What disproves a conjecture?

a conjecture is disproved if it is shown to be false. this can be done by providing a single concrete example (e.g. with actual numbers, functions, etc) that shows the conjecture's premise does not necessarily lead to its conclusion. alternatively, a conjecture could be shown to be false (i.e. disproved) by demonstrating that IF it were true then a logical consequence would be a clearly wrong statement (e.g. 2 + 2 =5)


What is a statement that is believed to be true?

a conjecture


Why only one counterexample is necessary to show that a conjecture is false?

To be true a Conjecture must be true for all cases.


Why can a conjecture be true or false?

Because that is what a conjecture is! It is a proposition that has to be checked out to see f it isalways true, false or indeterminate,sometimes true, false or indeterminate,never true, false or indeterminate.Once its nature has been decided then it is no longer a conjecture.