by bringing evidence to the table
One is enough.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
Identify the conjecture to be proven.Assume the opposite of the conclusion is true.Use direct reasoning to show that the assumption leads to a contradiction.Conclude that the assumption is false and hence that the original conjecture must be true.
A counter example is a statement that shows conjecture is false.
The word "conjecture" can be taken a number of ways. If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty. If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic. If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.
Prove that if it were true then there must be a contradiction.
Give a counter-example.
Yes.
A counter example
One is enough.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
well.......Its like testing a conjecture and finding a statement true or false because u have to test it!!! to see if its true or false and its different,true is like something u can prove and false is untrue and u cant prove it. :D i know i don't make sense but that's how i explained it on my homeworklol
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
Identify the conjecture to be proven.Assume the opposite of the conclusion is true.Use direct reasoning to show that the assumption leads to a contradiction.Conclude that the assumption is false and hence that the original conjecture must be true.
A counter example is a statement that shows conjecture is false.
The word "conjecture" can be taken a number of ways. If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty. If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic. If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.
prove it