true
irony
Conditional ConnectivesThe statement `if p then q' is called a conditional statement and is written logically as p ! q.(This asserts that the truth of p guarantees the truth of q.)p ! q can also be read as `p implies q', where p is sometimes called the antecedent and qtheconsequent.Examples:p: It is raining.q: I get wet.p ! q: If it is raining, then I get wet.s: It is Sunday.w: I have to work today.s ! w: If it is Sunday, then I have to work today.»s ! w: If it is not Sunday, then I have to work today.s !»w: If it is Sunday, I do not have to work today.(s ^ p) !»w: If it is Sunday and it's raining, then I don't have to work today.To examine the truth or falsity of p ! q, suppose p and q are the following propositionsp: I win the lottery,q: I will buy you a car.Then p ! q is the statement `If I win the lottery, then I will buy you a car'.
This question is unanswerable. How can a "statement of truth" be made which "is not true". Truth does not change. It cannot be that something was true when it was said and later it became untrue.
True. The first statement is true and the second statement is false. In a disjunction, if either statement is true, the disjunction is true.
negation
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
true
irony
Truth value
Conditional ConnectivesThe statement `if p then q' is called a conditional statement and is written logically as p ! q.(This asserts that the truth of p guarantees the truth of q.)p ! q can also be read as `p implies q', where p is sometimes called the antecedent and qtheconsequent.Examples:p: It is raining.q: I get wet.p ! q: If it is raining, then I get wet.s: It is Sunday.w: I have to work today.s ! w: If it is Sunday, then I have to work today.»s ! w: If it is not Sunday, then I have to work today.s !»w: If it is Sunday, I do not have to work today.(s ^ p) !»w: If it is Sunday and it's raining, then I don't have to work today.To examine the truth or falsity of p ! q, suppose p and q are the following propositionsp: I win the lottery,q: I will buy you a car.Then p ! q is the statement `If I win the lottery, then I will buy you a car'.
It's a short statement that describes a truth, or concept.It's a short statement that describes a truth, or concept.It's a short statement that describes a truth, or concept.It's a short statement that describes a truth, or concept.It's a short statement that describes a truth, or concept.It's a short statement that describes a truth, or concept.
This question is unanswerable. How can a "statement of truth" be made which "is not true". Truth does not change. It cannot be that something was true when it was said and later it became untrue.
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse