It's called a proof
a proof
hypothesis
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)
It's called a proof
a proof
a proof
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.
pie tree
hypothesis
A counter-example.
It's a counterexample.
Counter example
a way that shows clear sound reasoning
Addressing counterclaims is important because it shows that you have considered different perspectives on a topic or issue, which strengthens your argument. It also demonstrates intellectual honesty and fairness in acknowledging opposing viewpoints. By addressing counterclaims, you can anticipate and refute potential criticisms of your argument, making it more convincing to your audience.