Lesson plan
Material nonimplication
Material nonimplication or abjunction ( ) is a term referring to a logic operation used in generic circuits and Boolean algebra. It is the negation of material implication. That is to say that for any two propositions P and Q , the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true. This is more naturally stated as that the material nonimplication from P to Q is true only if P is true and Q is false. It may be written using logical notation as P \nrightarrow Q , P \not \supset Q , or "Lpq" (in Bocheński notation), and is logically equivalent to \neg (P \rightarrow Q) , and P \land \neg Q .
Article summary
Material nonimplication or abjunction ( ) is a term referring to a logic operation used in generic circuits and Boolean algebra. It is the negation of material implication. That is to say that for any two propositions P and Q , the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true. This is more naturally stated as that the material nonimplication from P to Q is true only if P is true and Q is false. It may be written using logical notation as P \nrightarrow Q , P \not \supset Q , or "Lpq" (in Bocheński notation), and is logically equivalent to \neg (P \rightarrow Q) , and P \land \neg Q .
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.