0
Counterexample
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Coach
SteveA counterexample is a case in which a conjecture is not true. It is an example or scenario that disproves or invalidates a mathematical statement. Counterexamples are important in mathematics as they help identify the limitations or conditions under which a conjecture holds true.
Add your answer:
Earn +20 pts
What is a case in which a conjecture is not true?
Counterexample
What is an example of a TRUE conjecture?
The Poincaré Conjecture.
Is a conjecture about the sum of two negative integers?
The sum of two negative numbers is 27.5 unless you add them together on a Tuesday, in which case the sum is 25.7. That is a conjecture about the sum of two negative numbers. There is no reason for a conjecture to be true, or even credible.
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 mathematics statement believed to be true?
it is called a conjecture
