pie tree
Counter Example
A counter example
Counter example
False. Consider 4, itself.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
A counter example is a statement that shows conjecture is false.
Because that is what a conjecture is! It is a proposition that has to be checked out to see f it isalways true, false or indeterminate,sometimes true, false or indeterminate,never true, false or indeterminate.Once its nature has been decided then it is no longer a conjecture.
Every four sided figure is a quadrilateral which includes a parallelogram.
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
pie tree
Counter Example
conuturexample
Give a counter-example.
Yes.
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.
To be true a Conjecture must be true for all cases.