Q: What is an example of a counterexample in geometry?

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non-example, counterexample,

A counterexample.

It's a counterexample.

Yes - if such a counterexample can be found. However, using only the Euclidean axioms and logical arguments, it can be proven that the angles of a triangle in a Euclidean plane must add to 180 degrees. Consequently, a counterexample within this geometry cannot exist.

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

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

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.

a good definition should classify the term, diffienciate it from others in a similar class, and can stand against a counterexample.

There is no counterexample because the set of whole numbers is closed under addition (and subtraction).

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.

Counterexample

"John is a honest lawyer"is a counterexample to"all lawyers are dishonest."