if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
A conditional statement is much like the transitive property in geometry, meaning if: P>Q and ~N>P then you can conclude: if ~N>Q
p divided by q.
q only if p. The converse of a statement is just swapping the places of the two terms.
It in Math, (Geometry) If p implies q is a true conditional statement and not q is true, then not p is true.
It means the statement P implies Q.
The statement "If not q, then not p" is logically equivalent to "If p, then q."
Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r
In the statement "p implies q," the relationship between p and q is that if p is true, then q must also be true.
The statement "p if and only if q" is true when both p and q are true, or when both p and q are false.
"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'
if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
The statement "p implies q" can be expressed as "not p or q" using the logical operator "or" and the negation of "p".
No, it is not valid because there is no operator between P and q.
A+
P! / q!(p-q)!
Let us consider "This statement is false." This quotation could also be read as "This, which is a statement, is false," which could by extent be read as "This is a statement and it is false." Let's call this quotation P. The statement that P is a statement will be called Q. If S, then R and S equals R; therefore, if Q, then P equals not-P (since it equals Q and not-P). Since P cannot equal not-P, we know that Q is false. Since Q is false, P is not a statement. Since P says that it is a statement, which is false, P itself is false. Note that being false does not make P a statement; all things that are statements are true or false, but it is not necessarily true that all things that are true or false are statements. In summary: "this statement is false" is false because it says it's a statement but it isn't.