Explain Counter Example

Introduction:
Disprove the given statement with example is called counter example. It is one part of application in mathematics. It except the proposed rule. General method is followed in it. Universal quantification is give the specific instance. Hypothesis of theorem defined by examples that is described with counter example in maths. Here we can assume not verified hypothesis. This hypothesis is part of case. Argument has local or global for counter example. Learn the examples by proven theorems.

Learning Applications of Counter examples:

The counter example is very important to real world applications like in maths, non mathematical example and for philosophy.
For mathematics:
Possible theorems has boundaries problem. It is solved by counterexamples. It also shows the false in conjectures and used to maths research. It avoid the errors in problem. For producing theorems as provable and it is give guidelines how to change the conjectures and how to learn the object.
Example of non mathematical:
We take some situation as example. First study the structure of object and prove some theorems accroding to that. If we can’t to prove the theorems, we think it as false and find the another possible for object. Then if it is a counter example to conjecture means object is not deadly. It is give the disprove result.
Example of maths:
If counter example is not negative and not positive in result as zero, conjecture is not positive or negative of all numbers. Complex area of maths is getting from basic idea.
Hope you liked the above explanation. Please leave your comments, if you have any doubts.