conuturexample
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.
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)
well.......Its like testing a conjecture and finding a statement true or false because u have to test it!!! to see if its true or false and its different,true is like something u can prove and false is untrue and u cant prove it. :D i know i don't make sense but that's how i explained it on my homeworklol
Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
Counter-example
Counter Example
A counter example is a statement that shows conjecture is false.
A therefore B A is true Therefore B is true Logically..... A is true A is false Therefore B is false
integers
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.
Give a counter-example.
pie tree
The information I have found contradicts the statement "not true," indicating that it is indeed false.
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)
A counter example
It's a counterexample.