A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
conuturexample
it is called a conjecture
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
One possible conjecture is that it has one median which coincides with the corresponding altitude.
a conjecture
A counter example is a statement that shows conjecture is false.
conuturexample
it is called a conjecture
Counter-example
It is a conjecture, or an hypothesis in the scientific method. An hypothesis supported by experiment can become a theory.
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
(conjecture: a statement expressing an opinion based on incomplete evidence)"The report on possible terrorist plans was dismissed as mere conjecture.""The scientist would not conjecture on the effect the drilling might have on earthquake activity."
Find one counterexample to negate the statement
One possible conjecture is that it has one median which coincides with the corresponding altitude.
A statement that might be true (based on some research or reasoning), but is not proven. Like a hypothesis, but not stated in as formal, or testable, way. So a conjecture is like an educated guess. Example: I heard the sound of a plastic bag, so I conjecture there might be some food!
Theorem