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Why only one counterexample is necessary to show that a conjecture is false?
Wiki User
∙ 12y ago
To be true a Conjecture must be true for all cases.
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∙ 12y ago
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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.
Latin had only three cases True False?
False.
True or false a geometric solid has only length and width?
False
Is this statement true or false Plagiarizing is acceptable if it is only a phrase or a word.?
Is this statement true or false? Plagiarizing is acceptable if it is only a phrase or a word. Is this statement true or false? Plagiarizing is acceptable if it is only a phrase or a word.
True or False The circumcenter of a triangle is the center of the only circle that can be circumscribed about it.?
true!
What number would be a counterexample to the following conjecture Prime numbers are odd?
2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.
Find a counterexample to the statement all us presidents have served only one term to show that this statement is false.?
find a counterexample to the statement all us presidents have served only one term to show statement is false
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.
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.
Can a counterexample prove that the angles of a triangle need not add up to 180 degrees?
Yes - if such a counterexample can be found. However, using only the Euclidean axioms and logical arguments, it can be proven that the angles of a triangle in a Euclidean plane must add to 180 degrees. Consequently, a counterexample within this geometry cannot exist.
Is this statement true if the product of two integers is divisible by 6 one of the integers is also divisible by 6?
That is false. This type of statement is only true for prime numbers, not for compound numbers such as 6. Counterexample: 2 x 3 = 6
True or false Windows XP can be installed with only the distribution CD if the computer's hardware is configured correctly?
no ,it is not necessary........
What are the dangers of GM Crops?
There are no proven dangers, only rumor and conjecture.
When taking skinfold measurment readingd only one attempt per site is necessary for an accurate reading?
False, take the average of three measurements.
A number is divisible by 6 if and only if it is divisible by 3?
If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.
True or False special handling for all sensitive data including PHI requires accessing only what is necessary to complete a work related duty or job this is known as the minimum necessary rule?
Truetrue
Are the scientists able to destroy this planet nibru?
The existence of planet Nibiru is largely rejected by scientists as based on false claims, conjecture, mistranslations, flawed techniques, and general lack of good supporting evidence; hence, scientists might be able to only destroy it notionally through refutation.
