Contrapositive. If not q , then not p . If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
Q. How do you know if two statements are logically equivalent?
Two statement forms are logically equivalent if, and only if, their resulting truth tables are identical for each variation of statement variables. p q and q p have the same truth values, so they are logically equivalent.
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Q. What is equivalent statement logic?
Two expressions are logically equivalent provided that they have the same truth value for all possible combinations of truth values for all variables appearing in the two expressions. In this case, we write X≡Y and say that X and Y are logically equivalent.
Q. How do you write in if/then form?
To write these statements in if-then form, identify the hypothesis and conclusion. The word if is not part of the hypothesis. The word then is not part of the conclusion. If it is cheese, then it contains calcium.
Q. What is an IF-THEN sentence?
Conditional sentences are statements discussing known factors or hypothetical situations and their consequences. Complete conditional sentences contain a conditional clause (often referred to as the if-clause) and the consequence.
Q. Does a hypothesis need to be an IF THEN statement?
They are necessary in a formalized hypothesis. But not all if-then statements are hypotheses. For example, “If I play the lottery, then I will get rich.” This is a simple prediction. The ultimate value of a formalized hypothesis is it forces us to think about what results we should look for in an experiment.
Q. What does it mean if something is not falsifiable?
In most cases a falsifiable statement just needs one observation to disprove it. A Statement that is not falsifiable usually needs some sort of exhaustive search of all possibilities to disprove it.
