Necessity and sufficiency | Wikipedia audio article
Channel: Subhajit Sahu
Date: 2018-11-26

This is an audio version of the Wikipedia Article:
Necessity and sufficiency

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SUMMARY
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In logic, necessity and sufficiency are terms used to describe a conditional or implicational relationship between statements. For example, in the conditional statement "If P then Q", we say that "Q is necessary for P" because P cannot be true unless Q is true. Similarly, we say that "P is sufficient for Q" because P being true always implies that Q is true, but P not being true does not always imply that Q is not true.The assertion that a statement is a "necessary and sufficient" condition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true or simultaneously false.In ordinary English, "necessary" and "sufficient" indicate relations between conditions or states of affairs, not statements. Being a male sibling is a necessary and sufficient condition for being a brother.