Counterexample
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A 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.
Counterexample
The Poincaré Conjecture.
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.
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.
it is called a conjecture