0
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)
Add your answer:
Earn +20 pts
Is a case in which a conjecture is not true?
Counterexample
What is an example of a TRUE conjecture?
The Poincaré Conjecture.
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.
Make a conjecture about the sum of the first 25 positive even numbers?
My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
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.
Is a case in which a conjecture is not true?
Counterexample
What is the future tense of conjecture?
The future tense of "conjecture" is "will conjecture."
What is a statement that is believed to be true?
a conjecture
What is an example of a TRUE conjecture?
The Poincaré Conjecture.
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 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.
Make a conjecture about the sum of the first 25 positive even numbers?
My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
What is a synonym for conjecture?
A conjecture is a guess, theory, hypothesis, or proposition.
What part of speech is conjecture?
The word "conjecture" is a noun. It refers to an opinion or conclusion based on incomplete information.
How do you write a conjecture about the sum of two fractions?
A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.
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.
Is 72 a conjecture?
A conjecture is a proposition that is unproven but appears correct and has not been disproven.
