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An example that proves that a conjecture or statement is false?
Wiki User
∙ 11y ago
Counter-example
Wiki User
∙ 11y ago
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What is an examlpe that proves that a conjecture or statement is false?
A therefore B A is true Therefore B is true Logically..... A is true A is false Therefore B is false
Is the Converse of a false statement always false?
Let's take an example.If it is raining (then) the match will be cancelled.A conditional statement is false if and only if the antecedent (it is raining) is true and the consequent (the match will be cancelled) is false. Thus the sample statement will be false if and only if it is raining but the match still goes ahead.By convention, if the antecedent is false (if it isn't raining) then the statement as a whole is considered true regardless of whether the match takes place or not.To recap: if told that the sample statement is false, we can deduce two things: It is raining is a true statement, and the match will be cancelled is a false statement. Also, we know a conditional statement with a false antecedent is always true.The converse of the statement is:If the match is cancelled (then) it is raining.Since we know (from the fact that the original statement is false) that the match is cancelled is false, the converse statement has a false antecedent and, by convention, such statements are always true.Thus the converse of a false conditional statement is always true. (A single example serves to show it's true in all cases since the logic is identical no matter what specific statements you apply it to.)If you are familiar with truth tables, the explanation is much easier. Here is the truth table for A = X->Y (i.e. A is the statement if X then Y) and B = Y->X (i.e. B is the converse statement if Y then X).X Y A BF F T TF F T TT F F TF T T FLooking at the last two rows of the A and B columns, when either of the statements is false, its converse is true.
Why is this conjecture false 'If two angles are supplementary then one of the angles must be obtuse'?
they could both be right angles
What is 5 5 5 5 5 equals 26?
It is a FALSE statement.It is a FALSE statement.It is a FALSE statement.It is a FALSE statement.
What is 9X1.5 equals 170?
A false statement.
What is An example that proves that a conjecture or statement is false?
conuturexample
An example which proves a conjecture false?
Counter Example
What is a statement that shows conjecture is false?
A counter example is a statement that shows conjecture is false.
What is an examlpe that proves that a conjecture or statement is false?
A therefore B A is true Therefore B is true Logically..... A is true A is false Therefore B is false
What kind of statement is a conjecture?
A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.
What is a number which proves that mathematical statement is false?
integers
An example that shows a conjecture is false?
pie tree
What is an example that shows a conjecture is false?
It's a counterexample.
How can you prove that a conjecture is false?
Give a counter-example.
What disproves a conjecture?
a conjecture is disproved if it is shown to be false. this can be done by providing a single concrete example (e.g. with actual numbers, functions, etc) that shows the conjecture's premise does not necessarily lead to its conclusion. alternatively, a conjecture could be shown to be false (i.e. disproved) by demonstrating that IF it were true then a logical consequence would be a clearly wrong statement (e.g. 2 + 2 =5)
How many examples to prove a conjecture false?
A counter example
What is the term for a specific case that shows a conjecture is false?
Counter example
