The section of necessary and sufficient conditions in chapter 6 was interesting to me. This states, “we say that two claims are equivalent if each is true exactly when the other is” (124). In other words, necessary and sufficient conditions can be compared to a cause and effect statement because one must be true in order for the other to be true. If one is false, the other premise must be false, causing a weak and an invalid argument.
Example:
If people are unable to receive a sufficient income, then they will be incapable of living a quality standard of life.
Contrapositive:
If people are able to live a quality standard of life, then they are receiving a sufficient amount of income.
The contrapositive reinforces the idea that the two claims are related to one another and that both must be true. In order to have a life that has the basic needs such as shelter, food, and clothing, one must have the income to provide those needs.
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