P Q (/P or /Q) T T F T F T F T T F F T
If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)
what is the correct truth table for p V~ q
A+
p --> q and q --> p are not equivalent p --> q and q --> (not)p are equivalent The truth table shows this. pq p --> q q -->(not)p f f t t f t t t t f f f t t t t
The truth values.
Construct a truth table for ~q (p q)
If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)
what is the correct truth table for p V~ q
P | T T F F Q | T F T F Q' | F T F T P + Q' | F T F F The layout is the best I could do with this software. Hope it is OK.
A+
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.
. p . . . . . q. 0 . . . . . 1. 1 . . . . . 0
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.
The statement "p implies q" can be expressed as "not p or q" using the logical operator "or" and the negation of "p".
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
1)p->q 2)not p or q 3)p 4)not p and p or q 5)contrudiction or q 6)q
The statement is false. The conditional statement "If P, then Q" and its converse "If Q, then P" are distinct statements, but the negation of the converse would be "It is not the case that if Q, then P." Thus, the conditional and the negation of the converse are not equivalent or directly related.