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A counter example occurs when somebody makes a claim that all members of some category of things have a particular property, and then someone else proves that the claim is not true by showing an example of a thing in the category that does not have the property claimed.
For example, if someone claimed that "All presidents of the United States are dead white men", then Barack Obama would be a counter-example because he is a President of the United States but isn't a dead white man.
For another example, if someone claimed that all mammals bear live young, the echidna and the platypus would be counter-examples because they are mammals that lay eggs.
For another example, if someone claimed that the United States is the only country that has never defaulted on its debts, Australia and Tuvalu would be counter-examples. The claim is logically equivalent to saying that all countries in the category of being not the USA have defaulted on a debt at least once,....
For another example, if someone claimed that all prime numbers are odd, "2" would be a counter example. Or if someone claimed that all odd numbers are prime "9" would be a counter-example.
In short, a counter-example to a proposition or claim is an example that proves that the proposition or claim is not true.
What else can I help you with?
How do you use counter example in a sentence?
your face is a counter
An example which proves a conjecture false?
Counter Example
What is an example that shows conjecture is not true?
A counter-example.
What is a counter example of why integers aren't closed under division?
An example would be 2 ÷ 4 = 0.5 A counter example would be 4 ÷ 2 = 2
An example that proves that a conjecture or statement is false?
Counter-example
An example used to show that a given statement is not always true?
counter example
How can you use the word counter in a sentence?
It can be used in a number of ways. For example, "The legislator's plan ran counter to what his party was trying to accomplish as a whole." Counter in this sentence means against, literally in opposition to. Here's another example, "They set the groceries on the counter." Counter used here refers to the flat surface in most kitchens.
What is the if-then form of A counter example invalidates a statement?
You figure it out!
How can you prove that a conjecture is false?
Give a counter-example.
Turning a while loop to a for loop?
A for loop is just a while loop with a built-in counter. For example, the following programs are functionally identical: While loop: int counter = 0; while(counter < 10) { printf("counter = %d\n", counter); counter++; } For loop: for(int counter = 0; counter < 10; counter++) { printf("counter = %d\n", counter); }
What is spawn's counter?
The counter represents the amount of magic power he is using up. The counter starts at 9:9:9:9 and every time for example, gets into a fight, the counter drops.
Does every statement have a counter example?
Only some statements have both examples and counter examples. A sufficiently clear and unambiguous statement would not have counter examples.
