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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.
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How can you prove that a conjecture is false in Geometry?
by bringing evidence to the table
How many counterexamples are required to prove that a conjecture is false?
One is enough.
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 a statement that shows conjecture is false?
A counter example is a statement that shows conjecture is false.
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.
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 many counterexamples are required to prove that a conjecture is false?
One is enough.
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.
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
What is a statement that shows conjecture is false?
A counter example is a statement that shows conjecture is false.
To establish the validity of a conjecture is to?
prove it
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.
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.
