A false p and q means that both p and q are false propositions.
The truth of p or q means that p and q have one and only one true proposition.
Non-P is true and "P is false" is the same meaning.
Note: the true proposition is correct, such as 1+ 1=2, and the false proposition is wrong, such as 1+ 1=3.
P or Q: A shape with multiple white edges is inscribed or circumscribed.
P and Q: Regular polygons have both inscribed circles and circumscribed circles.
Non-P: A regular polygon has no inscribed circle.
∵p is true, Q is true, ∴p is still Q, P and Q are true, and P is false.
P or q: The diagonals of parallelograms are equal or equal to each other.
P and Q: The diagonals of the parallelogram are equal and equally divided.
Non-P: A parallelogram with unequal diagonals.
Extended data:
Generally speaking, in mathematics, statements expressed by languages, symbols or formulas that can judge truth or falsehood are called propositions. Among them, statements judged to be true are called true propositions, and statements judged to be false are called false propositions.
Every proposition has an inverse proposition. As long as the title of the original proposition is replaced by the conclusion and the conclusion is replaced by the title, the inverse proposition of the original proposition can be obtained. But the original proposition is correct, and its inverse proposition is not necessarily correct. For example, the inverse proposition of the true proposition "diagonal equality" is "equal angles are diagonal", which is a false proposition. Propositions are usually written in the form of "if" ... and then ... ". "If" is followed by the topic, and "Then" is followed by the conclusion.
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