A counter example is a statement that shows conjecture is false.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
A mouse is a mammal, but it us not a monkey.
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.
A counter example is a statement that shows conjecture is false.
pie tree
Counter example
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
Counter Example
A counter-example.
Counter-example
conuturexample
Give a counter-example.
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)
hypothesis
A counter example