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How can the statement "p implies q" be expressed in an equivalent form using the logical operator "or" and the negation of "p"?

The statement "p implies q" can be expressed as "not p or q" using the logical operator "or" and the negation of "p".


What is the negation of a conditional statement called?

The negation of a conditional statement is called the "inverse." In formal logic, if the original conditional statement is "If P, then Q" (P → Q), its negation is expressed as "It is not the case that if P, then Q," which can be more specifically represented as "P and not Q" (P ∧ ¬Q). This means that P is true while Q is false, which contradicts the original implication.


Is the conditional the negation of the Converse?

No, the conditional statement and its converse are not negations of each other. A conditional statement has the form "If P, then Q" (P → Q), while its converse is "If Q, then P" (Q → P). The negation of a conditional statement "If P, then Q" is "P and not Q" (P ∧ ¬Q), which does not relate to the converse directly.


What of a statement P would be written in the form not P?

The statement "not P" is the negation of statement P. It means the opposite of P is true. For example, if P is "The sky is blue," then not P would be "The sky is not blue."


Can you explain the difference between the keyword "p" and "not p"?

The keyword "p" represents a statement that is true, while "not p" represents the negation of that statement, meaning it is false.


Is The inverse is the negation of the converse?

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.


What is negation of biconditional statement?

What is negation of biconditional statement?


Reverse and negation of an if-then statement?

The reverse and negation of an if-then statement is as follows:if (...) then statement;reversed becomesif (not (...)) then statement;


What notation does a condition statement use?

"if p then q" is denoted as p → q. ~p denotes negation of p. So inverse of above statement is ~p → ~q, and contrapositive is ~q →~p. ˄ denotes 'and' ˅ denotes 'or'


What is the negation of the statement quadrilateral abcd is a paralleogram and it has a right angle?

"abcd is not a parallelogram or it does not have any right angles." ~(P and Q) = ~P or ~Q


How do you write the negation of if and then?

If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)


What is a negation of a statement?

Negation says you should write the opposite. So let's take the statement, Today is Monday. The negation is today is NOT monday. Sometimes it is harder. Say we have the statement, EVERY WikiAnswers.com question is a great questions. The negation is Some questions on WikiAnswers.com are not great questions.