answersLogoWhite

0


Best Answer

No. Not if it is a true statement. Identities and tautologies cannot have a counterexample.

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does every statement have a counterexample?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

A particular example or instance of a statement that makes a statement false?

Counterexample


Specific case in which a statement is false?

A counterexample is a specific case in which a statement is false.


Find a counterexample to the statement all us presidents have served only one term to show that this statement is false.?

find a counterexample to the statement all us presidents have served only one term to show statement is false


What is an example of a counterexample?

an example of this is like taking a statement and making it negative, i think.... Such as, "All animals living in the ocean are fish." A counterexample would be a whale(mammal), proving this statement false.


What a counterexample?

a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."


What is a counterexample?

a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."


How can you prove that a conjecture is wrong?

Find one counterexample to negate the statement


Is a counterexample of all planets have moons?

Yes, the planet Mercury does not have any moons. This serves as a counterexample to the statement "all planets have moons."


What is a counterexample to the statement all prime numbers are odd?

2 is a prime number.


Prove and disprove the statement that every prime number is an even number?

To disprove this all you need to do if find one example of a prime that is not even. Such an example is called a counterexample. If a statement that all such and such or every such and such has a certain property, all you have to do to disprove it it to demonstrate the existence of on such and such that lacks the property .


Is every rectangle a square using counterexample?

Every square is a rectangle, but not every rectangle is a square.


What is a counterexample in math?

A counterexample is an example (usually of a number) that disproves a statement. When seeking to prove or disprove something, if a counter example is found then the statement is not true over all cases. Here's a basic and rather trivial example. I could say "There is no number greater than one million". Then you could say, "No! Take 1000001 for example". Because that one number is greater than one million my statement is false, and in that case 1000001 serves as a counterexample. In any situation, an example of why something fails is called a counterexample.