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In the proposition "If P, then Q", the occurrence of P is sufficient reason for the occurrence of Q. P, as an individual or a class, materially implicates Q, but the relation of Q to P is such that the converse proposition "If Q, then P" does not necessarily have sufficient condition.
For example, the converse of ‘If P, then not-Q’ is ‘If not-P, then Q.’ Whereas a conditional is logically equivalent to its contrapositive , it is clearly not equivalent to its converse. A conditional and its converse issue entirely different inference tickets.
If that what you expressed in English is p & not(q) then it is wrong because you have to express p|not(q). I think you have actually expressed p¬(q) , so it is wrong. As you stated in your comment, the correct negation is truth is always popular, or it is not always right .
Jan 31, 2023 · "If p, then q" says that there is at least one event p that will result in event q. "p only if q" says that there is exactly one event q that will result in event p. The difference is important to analyzing statements for fallacies.
2 days ago · The proposition (p → q), also written (if p then q) and (p implies q), is true if p is false, if q is true, or both. The proposition (p → q) , called a conditional , is logically equivalent to ( (!p) | q) .
The sentence ``if [P and Not(P)], then Q'' is always true, regardless of the truth values of P and Q. This is the principle that, from a contradiction, anything (and everything) follows as a logical conclusion.
Propositional Logic. , ‘or’, ‘if, then’. Such combinations allow you to describe situations, and what properties these situations have or lack: some-thin. is ‘not this, but that’. You could call this reasoning about ‘classification’, and it is the basis of.
