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A counter example is a statement that shows conjecture is false.

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โˆ™ 2014-12-30 18:06:49
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Q: What is a statement that shows conjecture is false?
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Related questions

What shows that a conjecture is false?

A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.


What is An example that proves that a conjecture or statement is false?

conuturexample


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)


An example that shows a conjecture is false?

pie tree


What is an example that shows a conjecture is false?

It's a counterexample.


An example that proves that a conjecture or statement is false?

Counter-example


What is the term for a specific case that shows a conjecture is false?

Counter example


Which counterexample shows that the conjecture All mammals are monkeys is false?

A mouse is a mammal, but it us not a monkey.


What is a statement that is believed to be true?

a conjecture


Are conjectures allowed in proofs?

Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.


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.


What kind of statement is a conjecture?

A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.


What kind of a statement is a conjecture?

unproven statement


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


Which counterexample shows that the conjecture Every four-sided figure is a parallelogram is false?

Every four sided figure is a quadrilateral which includes a parallelogram.


What is an examlpe that proves that a conjecture or statement is false?

A therefore B A is true Therefore B is true Logically..... A is true A is false Therefore B is false


What conjecture can you make about the sum of the first 10 positive even numbers?

One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.


How do you write a conjecture?

Any proposition, which is based on partial information, is a conjecture. It can be sensible or nonsense. The statement "the ancient Egyptians were really from Mars" is a valid conjecture.


Is 'This statement is false' true or false?

If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."


What is a conjecture about the number of factors for square numbers up to 1000?

One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.


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.


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

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


Conjecture about the sum of the first 30 positive even numbers?

There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.


What is the definition of counterexample?

An example that proves a conjecture to be false.


How can you prove that a conjecture is false?

Give a counter-example.