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What is it called when an example that shows a conjecture that is not true?
Updated: 8/21/2019
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What is an example that shows a conjecture is not true called?
hypothesis
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.
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