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What conditions must be met for the statement "p if and only if q" to 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 not p, then not q?
If not p, then not q means that if something is not true or does not happen (p), then something else is also not true or does not happen (q).
What is the relationship between p and q in the statement "p implies q"?
In the statement "p implies q," the relationship between p and q is that if p is true, then q must also be true.
Is modus ponens deductive logic?
Yes, modus ponens is a valid form of deductive reasoning in logic. It involves deriving a conclusion from two premises: if p then q (p → q) and p are true, then q must also be true.
What is modus ponens?
Modus Ponens is very simple. lets say you have this example If today is Monday, then tomorrow is Tuesday. Today is Monday Therefore tomorrow is Tuesday. That is a valid argument because of modus ponens If the premise(if today is monday) is true then you must accept the conclusion(Then Tommorow is Tuesday) as true also. Another example If P, then Q P Therefore Q
What is the truth table for p arrow q?
Not sure I can do a table here but: P True, Q True then P -> Q True P True, Q False then P -> Q False P False, Q True then P -> Q True P False, Q False then P -> Q True It is the same as not(P) OR Q
If p is true and q is false what is the truth value or p or q?
true or false = true
If P is true and Q is false what is the truth value of P or Q?
If p is true and q is false, p or q would be true. I had a hard time with this too but truth tables help. When using P V Q aka p or q, all you need is for one of the answers to be true. Since p is true P V Q would also be true:)
What conditions must be met for the statement "p if and only if q" to 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.
When was True Q created?
True Q was created on 1992-11-01.
How do you construct a truth table for parenthesis not p q parenthesis if and only if p?
Assuming that you mean not (p or q) if and only if P ~(PVQ)--> P so now construct a truth table, (just place it vertical since i cannot place it vertical through here.) P True True False False Q True False True False (PVQ) True True True False ~(PVQ) False False False True ~(PVQ)-->P True True True False if it's ~(P^Q) -->P then it's, P True True False False Q True False True False (P^Q) True False False False ~(P^Q) False True True True ~(P^Q)-->P True True False False
What is a comparative operator?
Comparative operators are used to compare the logical value of one object with another and thus establish the rank (ordering) of those objects. There are six comparative operators in total: p<q : evaluates true when p is less than q p>q : evaluates true when p is greater than q p<=q : evaluates true when p is less than or equal to q p>=q : evaluates true when p is greater than or equal to q p!=q : evaluates true when p is not equal to q p==q : evaluates true when p is equal to q
If not p, then not q?
If not p, then not q means that if something is not true or does not happen (p), then something else is also not true or does not happen (q).
What is the relationship between p and q in the statement "p implies q"?
In the statement "p implies q," the relationship between p and q is that if p is true, then q must also be true.
When was The True Story of Ah Q created?
The True Story of Ah Q was created in 1921.
What is the law of modus tollens?
It in Math, (Geometry) If p implies q is a true conditional statement and not q is true, then not p is true.
Law of detachment?
Law of Detachment also known as Modus Ponens (MP) says that if p=>q is true and p is true, then q must be true. The Law of Syllogism is also called the Law of Transitivity and states: if p=>q and q=>r are both true, then p=>r is true.
